---
_id: '10738'
abstract:
- lang: eng
  text: We prove an adiabatic theorem for the Landau–Pekar equations. This allows
    us to derive new results on the accuracy of their use as effective equations for
    the time evolution generated by the Fröhlich Hamiltonian with large coupling constant
    α. In particular, we show that the time evolution of Pekar product states with
    coherent phonon field and the electron being trapped by the phonons is well approximated
    by the Landau–Pekar equations until times short compared to α2.
acknowledgement: "N. L. and R. S. gratefully acknowledge financial support by the
  European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research
  and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support
  from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR
  SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for
  interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for
  stimulating discussions about the time-evolution of a polaron.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nikolai K
  full_name: Leopold, Nikolai K
  id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
  last_name: Leopold
  orcid: 0000-0002-0495-6822
- first_name: Simone Anna Elvira
  full_name: Rademacher, Simone Anna Elvira
  id: 856966FE-A408-11E9-977E-802DE6697425
  last_name: Rademacher
  orcid: 0000-0001-5059-4466
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Leopold NK, Rademacher SAE, Schlein B, Seiringer R. The Landau–Pekar equations:
    Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. 2021;14(7):2079-2100.
    doi:<a href="https://doi.org/10.2140/APDE.2021.14.2079">10.2140/APDE.2021.14.2079</a>'
  apa: 'Leopold, N. K., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021).
    The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>.
    Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/APDE.2021.14.2079">https://doi.org/10.2140/APDE.2021.14.2079</a>'
  chicago: 'Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and
    Robert Seiringer. “The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.”
    <i>Analysis and PDE</i>. Mathematical Sciences Publishers, 2021. <a href="https://doi.org/10.2140/APDE.2021.14.2079">https://doi.org/10.2140/APDE.2021.14.2079</a>.'
  ieee: 'N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “The Landau–Pekar
    equations: Adiabatic theorem and accuracy,” <i>Analysis and PDE</i>, vol. 14,
    no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.'
  ista: 'Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021. The Landau–Pekar
    equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.'
  mla: 'Leopold, Nikolai K., et al. “The Landau–Pekar Equations: Adiabatic Theorem
    and Accuracy.” <i>Analysis and PDE</i>, vol. 14, no. 7, Mathematical Sciences
    Publishers, 2021, pp. 2079–100, doi:<a href="https://doi.org/10.2140/APDE.2021.14.2079">10.2140/APDE.2021.14.2079</a>.'
  short: N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE
    14 (2021) 2079–2100.
corr_author: '1'
date_created: 2022-02-06T23:01:33Z
date_published: 2021-11-10T00:00:00Z
date_updated: 2026-08-12T08:46:52Z
day: '10'
department:
- _id: RoSe
doi: 10.2140/APDE.2021.14.2079
ec_funded: 1
external_id:
  arxiv:
  - '1904.12532'
  isi:
  - '000733976600004'
fulldoi: https://doi.org/10.2140/APDE.2021.14.2079
intvolume: '        14'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1904.12532
month: '11'
oa: 1
oa_version: Preprint
page: 2079-2100
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Analysis and PDE
publication_identifier:
  eissn:
  - 1948-206X
  issn:
  - 2157-5045
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The Landau–Pekar equations: Adiabatic theorem and accuracy'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 14
year: '2021'
...
---
_id: '9226'
abstract:
- lang: eng
  text: 'Half a century after Lewis Wolpert''s seminal conceptual advance on how cellular
    fates distribute in space, we provide a brief historical perspective on how the
    concept of positional information emerged and influenced the field of developmental
    biology and beyond. We focus on a modern interpretation of this concept in terms
    of information theory, largely centered on its application to cell specification
    in the early Drosophila embryo. We argue that a true physical variable (position)
    is encoded in local concentrations of patterning molecules, that this mapping
    is stochastic, and that the processes by which positions and corresponding cell
    fates are determined based on these concentrations need to take such stochasticity
    into account. With this approach, we shift the focus from biological mechanisms,
    molecules, genes and pathways to quantitative systems-level questions: where does
    positional information reside, how it is transformed and accessed during development,
    and what fundamental limits it is subject to?'
acknowledgement: This work was supported in part by the National Science Foundation,
  through the Center for the Physics of Biological Function (PHY-1734030), by the
  National Institutes of Health (R01GM097275) and by the Fonds zur Förderung der wissenschaftlichen
  Forschung (FWF P28844). Deposited in PMC for release after 12 months.
article_number: dev176065
article_processing_charge: No
article_type: original
author:
- first_name: Gašper
  full_name: Tkačik, Gašper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkačik
  orcid: 0000-0002-6699-1455
- first_name: Thomas
  full_name: Gregor, Thomas
  last_name: Gregor
citation:
  ama: Tkačik G, Gregor T. The many bits of positional information. <i>Development</i>.
    2021;148(2). doi:<a href="https://doi.org/10.1242/dev.176065">10.1242/dev.176065</a>
  apa: Tkačik, G., &#38; Gregor, T. (2021). The many bits of positional information.
    <i>Development</i>. Company of Biologists. <a href="https://doi.org/10.1242/dev.176065">https://doi.org/10.1242/dev.176065</a>
  chicago: Tkačik, Gašper, and Thomas Gregor. “The Many Bits of Positional Information.”
    <i>Development</i>. Company of Biologists, 2021. <a href="https://doi.org/10.1242/dev.176065">https://doi.org/10.1242/dev.176065</a>.
  ieee: G. Tkačik and T. Gregor, “The many bits of positional information,” <i>Development</i>,
    vol. 148, no. 2. Company of Biologists, 2021.
  ista: Tkačik G, Gregor T. 2021. The many bits of positional information. Development.
    148(2), dev176065.
  mla: Tkačik, Gašper, and Thomas Gregor. “The Many Bits of Positional Information.”
    <i>Development</i>, vol. 148, no. 2, dev176065, Company of Biologists, 2021, doi:<a
    href="https://doi.org/10.1242/dev.176065">10.1242/dev.176065</a>.
  short: G. Tkačik, T. Gregor, Development 148 (2021).
date_created: 2021-03-07T23:01:25Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2026-08-12T09:57:53Z
day: '01'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1242/dev.176065
external_id:
  isi:
  - '000613906000007'
  pmid:
  - '33526425'
fulldoi: https://doi.org/10.1242/dev.176065
intvolume: '       148'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1242/dev.176065
month: '02'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 254E9036-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P28844-B27
  name: Biophysics of information processing in gene regulation
publication: Development
publication_identifier:
  eissn:
  - 1477-9129
publication_status: published
publisher: Company of Biologists
quality_controlled: '1'
scopus_import: '1'
status: public
title: The many bits of positional information
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 148
year: '2021'
...
---
_id: '15262'
abstract:
- lang: eng
  text: The Hunchback (Hb) transcription factor is crucial for anterior-posterior
    patterning of the Drosophila embryo. The maternal hb mRNA acts as a paradigm for
    translational regulation due to its repression in the posterior of the embryo.
    However, little is known about the translatability of zygotically transcribed
    hb mRNAs. Here, we adapt the SunTag system, developed for imaging translation
    at single-mRNA resolution in tissue culture cells, to the Drosophila embryo to
    study the translation dynamics of zygotic hb mRNAs. Using single-molecule imaging
    in fixed and live embryos, we provide evidence for translational repression of
    zygotic SunTag-hb mRNAs. Whereas the proportion of SunTag-hb mRNAs translated
    is initially uniform, translation declines from the anterior over time until it
    becomes restricted to a posterior band in the expression domain. We discuss how
    regulated hb mRNA translation may help establish the sharp Hb expression boundary,
    which is a model for precision and noise during developmental patterning. Overall,
    our data show how use of the SunTag method on fixed and live embryos is a powerful
    combination for elucidating spatiotemporal regulation of mRNA translation in Drosophila.
article_number: dev196121.
article_processing_charge: No
article_type: original
author:
- first_name: Daisy J.
  full_name: Vinter, Daisy J.
  last_name: Vinter
- first_name: Caroline
  full_name: Hoppe, Caroline
  last_name: Hoppe
- first_name: Thomas
  full_name: Minchington, Thomas
  id: 7d1648cb-19e9-11eb-8e7a-f8c037fb3e3f
  last_name: Minchington
- first_name: Catherine
  full_name: Sutcliffe, Catherine
  last_name: Sutcliffe
- first_name: Hilary L.
  full_name: Ashe, Hilary L.
  last_name: Ashe
citation:
  ama: Vinter DJ, Hoppe C, Minchington T, Sutcliffe C, Ashe HL. Dynamics of hunchback
    translation in real-time and at single-mRNA resolution in the Drosophila embryo.
    <i>Development</i>. 2021;148(18). doi:<a href="https://doi.org/10.1242/dev.196121">10.1242/dev.196121</a>
  apa: Vinter, D. J., Hoppe, C., Minchington, T., Sutcliffe, C., &#38; Ashe, H. L.
    (2021). Dynamics of hunchback translation in real-time and at single-mRNA resolution
    in the Drosophila embryo. <i>Development</i>. Company of Biologists. <a href="https://doi.org/10.1242/dev.196121">https://doi.org/10.1242/dev.196121</a>
  chicago: Vinter, Daisy J., Caroline Hoppe, Thomas Minchington, Catherine Sutcliffe,
    and Hilary L. Ashe. “Dynamics of Hunchback Translation in Real-Time and at Single-MRNA
    Resolution in the Drosophila Embryo.” <i>Development</i>. Company of Biologists,
    2021. <a href="https://doi.org/10.1242/dev.196121">https://doi.org/10.1242/dev.196121</a>.
  ieee: D. J. Vinter, C. Hoppe, T. Minchington, C. Sutcliffe, and H. L. Ashe, “Dynamics
    of hunchback translation in real-time and at single-mRNA resolution in the Drosophila
    embryo,” <i>Development</i>, vol. 148, no. 18. Company of Biologists, 2021.
  ista: Vinter DJ, Hoppe C, Minchington T, Sutcliffe C, Ashe HL. 2021. Dynamics of
    hunchback translation in real-time and at single-mRNA resolution in the Drosophila
    embryo. Development. 148(18), dev196121.
  mla: Vinter, Daisy J., et al. “Dynamics of Hunchback Translation in Real-Time and
    at Single-MRNA Resolution in the Drosophila Embryo.” <i>Development</i>, vol.
    148, no. 18, dev196121., Company of Biologists, 2021, doi:<a href="https://doi.org/10.1242/dev.196121">10.1242/dev.196121</a>.
  short: D.J. Vinter, C. Hoppe, T. Minchington, C. Sutcliffe, H.L. Ashe, Development
    148 (2021).
date_created: 2024-04-03T07:26:41Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2026-08-12T09:59:03Z
day: '01'
ddc:
- '570'
department:
- _id: AnKi
doi: 10.1242/dev.196121
external_id:
  pmid:
  - '33722899 '
file:
- access_level: open_access
  checksum: 6d0533fe9c712448b3f9feb15e05ec4b
  content_type: application/pdf
  creator: dernst
  date_created: 2024-04-03T13:58:51Z
  date_updated: 2024-04-03T13:58:51Z
  file_id: '15290'
  file_name: 2021_CompanyBiologists_Vinter.pdf
  file_size: 16258500
  relation: main_file
  success: 1
file_date_updated: 2024-04-03T13:58:51Z
fulldoi: https://doi.org/10.1242/dev.196121
has_accepted_license: '1'
intvolume: '       148'
issue: '18'
keyword:
- Developmental Biology
- Molecular Biology
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
pmid: 1
publication: Development
publication_identifier:
  eissn:
  - 1477-9129
  issn:
  - 0950-1991
publication_status: published
publisher: Company of Biologists
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamics of hunchback translation in real-time and at single-mRNA resolution
  in the Drosophila embryo
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 148
year: '2021'
...
---
_id: '10000'
abstract:
- lang: eng
  text: Inhibition or targeted deletion of histone deacetylase 3 (HDAC3) is neuroprotective
    in a variety neurodegenerative conditions, including retinal ganglion cells (RGCs)
    after acute optic nerve damage. Consistent with this, induced HDAC3 expression
    in cultured cells shows selective toxicity to neurons. Despite an established
    role for HDAC3 in neuronal pathology, little is known regarding the mechanism
    of this pathology.
acknowledgement: 'The authors thank Joel Dietz for maintaining the mice used in this
  study, Satoshi Kinoshita and the Translational Research Initiative in Pathology
  Laboratory at the University of Wisconsin-Madison for cutting retinal sections analyzed
  in this study, and Mark Banghart for statistical review of the data analysis. Supported
  by National Eye Institute Grants R01 EY012223 (RWN), R01 EY030123 (RWN), R01 EY029809
  (LWG), R01 EY029809 (LWG) and a Vision Research CORE grant P30 EY016665, NRSA grant
  T32 GM081061, by an unrestricted research grant from Research to Prevent Blindness,
  Inc., and by a University of Wisconsin-Madison Vilas Life Cycle award and the Frederick
  A. Davis Research Chair (RWN). '
article_number: '14'
article_processing_charge: Yes
article_type: original
author:
- first_name: Heather M.
  full_name: Schmitt, Heather M.
  last_name: Schmitt
- first_name: Rachel L.
  full_name: Fehrman, Rachel L.
  last_name: Fehrman
- first_name: Margaret E
  full_name: Maes, Margaret E
  id: 3838F452-F248-11E8-B48F-1D18A9856A87
  last_name: Maes
  orcid: 0000-0001-9642-1085
- first_name: Huan
  full_name: Yang, Huan
  last_name: Yang
- first_name: Lian Wang
  full_name: Guo, Lian Wang
  last_name: Guo
- first_name: Cassandra L.
  full_name: Schlamp, Cassandra L.
  last_name: Schlamp
- first_name: Heather R.
  full_name: Pelzel, Heather R.
  last_name: Pelzel
- first_name: Robert W.
  full_name: Nickells, Robert W.
  last_name: Nickells
citation:
  ama: Schmitt HM, Fehrman RL, Maes ME, et al. Increased susceptibility and intrinsic
    apoptotic signaling in neurons by induced HDAC3 expression. <i>Investigative Ophthalmology
    &#38; Visual Science</i>. 2021;62(10). doi:<a href="https://doi.org/10.1167/IOVS.62.10.14">10.1167/IOVS.62.10.14</a>
  apa: Schmitt, H. M., Fehrman, R. L., Maes, M. E., Yang, H., Guo, L. W., Schlamp,
    C. L., … Nickells, R. W. (2021). Increased susceptibility and intrinsic apoptotic
    signaling in neurons by induced HDAC3 expression. <i>Investigative Ophthalmology
    &#38; Visual Science</i>. Association for Research in Vision and Ophthalmology.
    <a href="https://doi.org/10.1167/IOVS.62.10.14">https://doi.org/10.1167/IOVS.62.10.14</a>
  chicago: Schmitt, Heather M., Rachel L. Fehrman, Margaret E Maes, Huan Yang, Lian
    Wang Guo, Cassandra L. Schlamp, Heather R. Pelzel, and Robert W. Nickells. “Increased
    Susceptibility and Intrinsic Apoptotic Signaling in Neurons by Induced HDAC3 Expression.”
    <i>Investigative Ophthalmology &#38; Visual Science</i>. Association for Research
    in Vision and Ophthalmology, 2021. <a href="https://doi.org/10.1167/IOVS.62.10.14">https://doi.org/10.1167/IOVS.62.10.14</a>.
  ieee: H. M. Schmitt <i>et al.</i>, “Increased susceptibility and intrinsic apoptotic
    signaling in neurons by induced HDAC3 expression,” <i>Investigative Ophthalmology
    &#38; Visual Science</i>, vol. 62, no. 10. Association for Research in Vision
    and Ophthalmology, 2021.
  ista: Schmitt HM, Fehrman RL, Maes ME, Yang H, Guo LW, Schlamp CL, Pelzel HR, Nickells
    RW. 2021. Increased susceptibility and intrinsic apoptotic signaling in neurons
    by induced HDAC3 expression. Investigative Ophthalmology &#38; Visual Science.
    62(10), 14.
  mla: Schmitt, Heather M., et al. “Increased Susceptibility and Intrinsic Apoptotic
    Signaling in Neurons by Induced HDAC3 Expression.” <i>Investigative Ophthalmology
    &#38; Visual Science</i>, vol. 62, no. 10, 14, Association for Research in Vision
    and Ophthalmology, 2021, doi:<a href="https://doi.org/10.1167/IOVS.62.10.14">10.1167/IOVS.62.10.14</a>.
  short: H.M. Schmitt, R.L. Fehrman, M.E. Maes, H. Yang, L.W. Guo, C.L. Schlamp, H.R.
    Pelzel, R.W. Nickells, Investigative Ophthalmology &#38; Visual Science 62 (2021).
date_created: 2021-09-12T22:01:23Z
date_published: 2021-08-16T00:00:00Z
date_updated: 2026-08-12T11:15:05Z
day: '16'
ddc:
- '570'
department:
- _id: SaSi
doi: 10.1167/IOVS.62.10.14
external_id:
  isi:
  - '000695230000014'
  pmid:
  - '34398198'
file:
- access_level: open_access
  checksum: c430967746f653aa1ae84ee617f62b73
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-13T07:40:15Z
  date_updated: 2022-05-13T07:40:15Z
  file_id: '11369'
  file_name: 2021_IOVS_Schmitt.pdf
  file_size: 19707796
  relation: main_file
  success: 1
file_date_updated: 2022-05-13T07:40:15Z
fulldoi: https://doi.org/10.1167/IOVS.62.10.14
has_accepted_license: '1'
intvolume: '        62'
isi: 1
issue: '10'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '08'
oa: 1
oa_version: Published Version
pmid: 1
publication: Investigative Ophthalmology & Visual Science
publication_identifier:
  eissn:
  - 1552-5783
  issn:
  - 0146-0404
publication_status: published
publisher: Association for Research in Vision and Ophthalmology
quality_controlled: '1'
scopus_import: '1'
status: public
title: Increased susceptibility and intrinsic apoptotic signaling in neurons by induced
  HDAC3 expression
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 62
year: '2021'
...
---
_id: '9047'
abstract:
- lang: eng
  text: This work analyzes the latency of the simplified successive cancellation (SSC)
    decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang. It
    is shown that, unlike conventional successive cancellation decoding, where latency
    is linear in the block length, the latency of SSC decoding is sublinear. More
    specifically, the latency of SSC decoding is O(N1−1/μ) , where N is the block
    length and μ is the scaling exponent of the channel, which captures the speed
    of convergence of the rate to capacity. Numerical results demonstrate the tightness
    of the bound and show that most of the latency reduction arises from the parallel
    decoding of subcodes of rate 0 or 1.
acknowledgement: M. Mondelli was partially supported by grants NSF DMS-1613091, CCF-1714305,
  IIS-1741162, and ONR N00014-18-1-2729. S. A. Hashemi is supported by a Postdoctoral
  Fellowship from the Natural Sciences and Engineering Research Council of Canada
  (NSERC) and by Huawei. The authors would like to thank the anonymous reviewers for
  their comments that helped improving the quality of the manuscript.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Seyyed Ali
  full_name: Hashemi, Seyyed Ali
  last_name: Hashemi
- first_name: John M.
  full_name: Cioffi, John M.
  last_name: Cioffi
- first_name: Andrea
  full_name: Goldsmith, Andrea
  last_name: Goldsmith
citation:
  ama: Mondelli M, Hashemi SA, Cioffi JM, Goldsmith A. Sublinear latency for simplified
    successive cancellation decoding of polar codes. <i>IEEE Transactions on Wireless
    Communications</i>. 2021;20(1):18-27. doi:<a href="https://doi.org/10.1109/TWC.2020.3022922">10.1109/TWC.2020.3022922</a>
  apa: Mondelli, M., Hashemi, S. A., Cioffi, J. M., &#38; Goldsmith, A. (2021). Sublinear
    latency for simplified successive cancellation decoding of polar codes. <i>IEEE
    Transactions on Wireless Communications</i>. IEEE. <a href="https://doi.org/10.1109/TWC.2020.3022922">https://doi.org/10.1109/TWC.2020.3022922</a>
  chicago: Mondelli, Marco, Seyyed Ali Hashemi, John M. Cioffi, and Andrea Goldsmith.
    “Sublinear Latency for Simplified Successive Cancellation Decoding of Polar Codes.”
    <i>IEEE Transactions on Wireless Communications</i>. IEEE, 2021. <a href="https://doi.org/10.1109/TWC.2020.3022922">https://doi.org/10.1109/TWC.2020.3022922</a>.
  ieee: M. Mondelli, S. A. Hashemi, J. M. Cioffi, and A. Goldsmith, “Sublinear latency
    for simplified successive cancellation decoding of polar codes,” <i>IEEE Transactions
    on Wireless Communications</i>, vol. 20, no. 1. IEEE, pp. 18–27, 2021.
  ista: Mondelli M, Hashemi SA, Cioffi JM, Goldsmith A. 2021. Sublinear latency for
    simplified successive cancellation decoding of polar codes. IEEE Transactions
    on Wireless Communications. 20(1), 18–27.
  mla: Mondelli, Marco, et al. “Sublinear Latency for Simplified Successive Cancellation
    Decoding of Polar Codes.” <i>IEEE Transactions on Wireless Communications</i>,
    vol. 20, no. 1, IEEE, 2021, pp. 18–27, doi:<a href="https://doi.org/10.1109/TWC.2020.3022922">10.1109/TWC.2020.3022922</a>.
  short: M. Mondelli, S.A. Hashemi, J.M. Cioffi, A. Goldsmith, IEEE Transactions on
    Wireless Communications 20 (2021) 18–27.
corr_author: '1'
date_created: 2021-01-31T23:01:21Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2026-08-12T11:12:22Z
day: '01'
department:
- _id: MaMo
doi: 10.1109/TWC.2020.3022922
external_id:
  arxiv:
  - '1909.04892'
  isi:
  - '000607808800002'
fulldoi: https://doi.org/10.1109/TWC.2020.3022922
intvolume: '        20'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1909.04892
month: '01'
oa: 1
oa_version: Preprint
page: 18-27
publication: IEEE Transactions on Wireless Communications
publication_identifier:
  eissn:
  - 1558-2248
  issn:
  - 1536-1276
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
  record:
  - id: '8536'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Sublinear latency for simplified successive cancellation decoding of polar
  codes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2021'
...
---
_id: '15267'
abstract:
- lang: eng
  text: "We study two fundamental communication primitives: broadcasting and leader
    election in the classical model of multi-hop radio networks with unknown topology
    and without collision detection mechanisms. It has been known for almost 20 years
    that in undirected networks with n nodes and diameter D, randomized broadcasting
    requires Ω(D log n/D + log2 n) rounds, assuming that uninformed nodes are not
    allowed to communicate (until they are informed). Only very recently, Haeupler
    and Wajc (PODC'2016) showed that this bound can be improved for the model with
    spontaneous transmissions, providing an O(D log n log log n/log D + logO(1) n)-time
    broadcasting algorithm. In this article, we give a new and faster algorithm that
    completes broadcasting in O(D log n/log D + logO(1) n) time, succeeding with high
    probability. This yields the first optimal O(D)-time broadcasting algorithm whenever
    n is polynomial in D.\r\n\r\nFurthermore, our approach can be applied to design
    a new leader election algorithm that matches the performance of our broadcasting
    algorithm. Previously, all fast randomized leader election algorithms have used
    broadcasting as a subroutine and their complexity has been asymptotically strictly
    larger than the complexity of broadcasting. In particular, the fastest previously
    known randomized leader election algorithm of Ghaffari and Haeupler (SODA'2013)
    requires O(D log n/D min {log log n, log n/D} + logO(1) n)-time, succeeding with
    high probability. Our new algorithm again requires O(D log n/log D + logO(1) n)
    time, also succeeding with high probability."
article_number: '13'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Artur
  full_name: Czumaj, Artur
  last_name: Czumaj
- first_name: Peter
  full_name: Davies, Peter
  id: 11396234-BB50-11E9-B24C-90FCE5697425
  last_name: Davies
  orcid: 0000-0002-5646-9524
citation:
  ama: Czumaj A, Davies P. Exploiting spontaneous transmissions for broadcasting and
    leader election in radio networks. <i>Journal of the ACM</i>. 2021;68(2). doi:<a
    href="https://doi.org/10.1145/3446383">10.1145/3446383</a>
  apa: Czumaj, A., &#38; Davies, P. (2021). Exploiting spontaneous transmissions for
    broadcasting and leader election in radio networks. <i>Journal of the ACM</i>.
    ACM. <a href="https://doi.org/10.1145/3446383">https://doi.org/10.1145/3446383</a>
  chicago: Czumaj, Artur, and Peter Davies. “Exploiting Spontaneous Transmissions
    for Broadcasting and Leader Election in Radio Networks.” <i>Journal of the ACM</i>.
    ACM, 2021. <a href="https://doi.org/10.1145/3446383">https://doi.org/10.1145/3446383</a>.
  ieee: A. Czumaj and P. Davies, “Exploiting spontaneous transmissions for broadcasting
    and leader election in radio networks,” <i>Journal of the ACM</i>, vol. 68, no.
    2. ACM, 2021.
  ista: Czumaj A, Davies P. 2021. Exploiting spontaneous transmissions for broadcasting
    and leader election in radio networks. Journal of the ACM. 68(2), 13.
  mla: Czumaj, Artur, and Peter Davies. “Exploiting Spontaneous Transmissions for
    Broadcasting and Leader Election in Radio Networks.” <i>Journal of the ACM</i>,
    vol. 68, no. 2, 13, ACM, 2021, doi:<a href="https://doi.org/10.1145/3446383">10.1145/3446383</a>.
  short: A. Czumaj, P. Davies, Journal of the ACM 68 (2021).
date_created: 2024-04-03T07:41:46Z
date_published: 2021-01-28T00:00:00Z
date_updated: 2026-08-12T14:03:54Z
day: '28'
department:
- _id: DaAl
doi: 10.1145/3446383
external_id:
  arxiv:
  - '1703.01859'
fulldoi: https://doi.org/10.1145/3446383
intvolume: '        68'
issue: '2'
keyword:
- Artificial Intelligence
- Hardware and Architecture
- Information Systems
- Control and Systems Engineering
- Software
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1703.01859
month: '01'
oa: 1
oa_version: Preprint
publication: Journal of the ACM
publication_identifier:
  eissn:
  - 1557-735X
  issn:
  - 0004-5411
publication_status: published
publisher: ACM
quality_controlled: '1'
status: public
title: Exploiting spontaneous transmissions for broadcasting and leader election in
  radio networks
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 68
year: '2021'
...
---
_id: '10575'
abstract:
- lang: eng
  text: The choice of the boundary conditions in mechanical problems has to reflect
    the interaction of the considered material with the surface. Still the assumption
    of the no-slip condition is preferred in order to avoid boundary terms in the
    analysis and slipping effects are usually overlooked. Besides the “static slip
    models”, there are phenomena that are not accurately described by them, e.g. at
    the moment when the slip changes rapidly, the wall shear stress and the slip can
    exhibit a sudden overshoot and subsequent relaxation. When these effects become
    significant, the so-called dynamic slip phenomenon occurs. We develop a mathematical
    analysis of Navier–Stokes-like problems with a dynamic slip boundary condition,
    which requires a proper generalization of the Gelfand triplet and the corresponding
    function space setting.
acknowledgement: The research of A. Abbatiello is supported by Einstein Foundation,
  Berlin. A. Abbatiello is also member of the Italian National Group for the Mathematical
  Physics (GNFM) of INdAM. M. Bulíček acknowledges the support of the project No.
  20-11027X financed by Czech Science Foundation (GACR). M. Bulíček is member of the
  Jindřich Nečas Center for Mathematical Modelling. E. Maringová acknowledges support
  from Charles University Research program UNCE/SCI/023, the grant SVV-2020-260583
  by the Ministry of Education, Youth and Sports, Czech Republic and from the Austrian
  Science Fund (FWF), grants P30000, W1245, and F65.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Anna
  full_name: Abbatiello, Anna
  last_name: Abbatiello
- first_name: Miroslav
  full_name: Bulíček, Miroslav
  last_name: Bulíček
- first_name: Erika
  full_name: Maringová, Erika
  id: dbabca31-66eb-11eb-963a-fb9c22c880b4
  last_name: Maringová
citation:
  ama: Abbatiello A, Bulíček M, Maringová E. On the dynamic slip boundary condition
    for Navier-Stokes-like problems. <i>Mathematical Models and Methods in Applied
    Sciences</i>. 2021;31(11):2165-2212. doi:<a href="https://doi.org/10.1142/S0218202521500470">10.1142/S0218202521500470</a>
  apa: Abbatiello, A., Bulíček, M., &#38; Maringová, E. (2021). On the dynamic slip
    boundary condition for Navier-Stokes-like problems. <i>Mathematical Models and
    Methods in Applied Sciences</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/S0218202521500470">https://doi.org/10.1142/S0218202521500470</a>
  chicago: Abbatiello, Anna, Miroslav Bulíček, and Erika Maringová. “On the Dynamic
    Slip Boundary Condition for Navier-Stokes-like Problems.” <i>Mathematical Models
    and Methods in Applied Sciences</i>. World Scientific Publishing, 2021. <a href="https://doi.org/10.1142/S0218202521500470">https://doi.org/10.1142/S0218202521500470</a>.
  ieee: A. Abbatiello, M. Bulíček, and E. Maringová, “On the dynamic slip boundary
    condition for Navier-Stokes-like problems,” <i>Mathematical Models and Methods
    in Applied Sciences</i>, vol. 31, no. 11. World Scientific Publishing, pp. 2165–2212,
    2021.
  ista: Abbatiello A, Bulíček M, Maringová E. 2021. On the dynamic slip boundary condition
    for Navier-Stokes-like problems. Mathematical Models and Methods in Applied Sciences.
    31(11), 2165–2212.
  mla: Abbatiello, Anna, et al. “On the Dynamic Slip Boundary Condition for Navier-Stokes-like
    Problems.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 31,
    no. 11, World Scientific Publishing, 2021, pp. 2165–212, doi:<a href="https://doi.org/10.1142/S0218202521500470">10.1142/S0218202521500470</a>.
  short: A. Abbatiello, M. Bulíček, E. Maringová, Mathematical Models and Methods
    in Applied Sciences 31 (2021) 2165–2212.
date_created: 2021-12-26T23:01:27Z
date_published: 2021-10-13T00:00:00Z
date_updated: 2025-04-15T08:31:30Z
day: '13'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1142/S0218202521500470
external_id:
  arxiv:
  - '2009.09057'
  isi:
  - '000722309400001'
file:
- access_level: open_access
  checksum: 8c0a9396335f0b70e1f5cbfe450a987a
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-16T10:55:45Z
  date_updated: 2022-05-16T10:55:45Z
  file_id: '11385'
  file_name: 2021_MathModelsMethods_Abbatiello.pdf
  file_size: 795483
  relation: main_file
  success: 1
file_date_updated: 2022-05-16T10:55:45Z
fulldoi: https://doi.org/10.1142/S0218202521500470
has_accepted_license: '1'
intvolume: '        31'
isi: 1
issue: '11'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 2165-2212
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 260788DE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: W1245
  name: Dissipation and dispersion in nonlinear partial differential equations
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
  eissn:
  - 1793-6314
  issn:
  - 0218-2025
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the dynamic slip boundary condition for Navier-Stokes-like problems
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 31
year: '2021'
...
---
_id: '10005'
abstract:
- lang: eng
  text: We study systems of nonlinear partial differential equations of parabolic
    type, in which the elliptic operator is replaced by the first-order divergence
    operator acting on a flux function, which is related to the spatial gradient of
    the unknown through an additional implicit equation. This setting, broad enough
    in terms of applications, significantly expands the paradigm of nonlinear parabolic
    problems. Formulating four conditions concerning the form of the implicit equation,
    we first show that these conditions describe a maximal monotone p-coercive graph.
    We then establish the global-in-time and large-data existence of a (weak) solution
    and its uniqueness. To this end, we adopt and significantly generalize Minty’s
    method of monotone mappings. A unified theory, containing several novel tools,
    is developed in a way to be tractable from the point of view of numerical approximations.
acknowledgement: "M. Bulíček and J. Málek acknowledge the support of the project No.
  18-12719S financed by the Czech\r\nScience foundation (GAČR). E. Maringová acknowledges
  support from Charles University Research program \r\nUNCE/SCI/023, the grant SVV-2020-260583
  by the Ministry of Education, Youth and Sports, Czech Republic\r\nand from the Austrian
  Science Fund (FWF), grants P30000, W1245, and F65. M. Bulíček and J. Málek are\r\nmembers
  of the Nečas Center for Mathematical Modelling.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Miroslav
  full_name: Bulíček, Miroslav
  last_name: Bulíček
- first_name: Erika
  full_name: Maringová, Erika
  id: dbabca31-66eb-11eb-963a-fb9c22c880b4
  last_name: Maringová
- first_name: Josef
  full_name: Málek, Josef
  last_name: Málek
citation:
  ama: Bulíček M, Maringová E, Málek J. On nonlinear problems of parabolic type with
    implicit constitutive equations involving flux. <i>Mathematical Models and Methods
    in Applied Sciences</i>. 2021;31(09). doi:<a href="https://doi.org/10.1142/S0218202521500457">10.1142/S0218202521500457</a>
  apa: Bulíček, M., Maringová, E., &#38; Málek, J. (2021). On nonlinear problems of
    parabolic type with implicit constitutive equations involving flux. <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/S0218202521500457">https://doi.org/10.1142/S0218202521500457</a>
  chicago: Bulíček, Miroslav, Erika Maringová, and Josef Málek. “On Nonlinear Problems
    of Parabolic Type with Implicit Constitutive Equations Involving Flux.” <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific Publishing, 2021.
    <a href="https://doi.org/10.1142/S0218202521500457">https://doi.org/10.1142/S0218202521500457</a>.
  ieee: M. Bulíček, E. Maringová, and J. Málek, “On nonlinear problems of parabolic
    type with implicit constitutive equations involving flux,” <i>Mathematical Models
    and Methods in Applied Sciences</i>, vol. 31, no. 09. World Scientific Publishing,
    2021.
  ista: Bulíček M, Maringová E, Málek J. 2021. On nonlinear problems of parabolic
    type with implicit constitutive equations involving flux. Mathematical Models
    and Methods in Applied Sciences. 31(09).
  mla: Bulíček, Miroslav, et al. “On Nonlinear Problems of Parabolic Type with Implicit
    Constitutive Equations Involving Flux.” <i>Mathematical Models and Methods in
    Applied Sciences</i>, vol. 31, no. 09, World Scientific Publishing, 2021, doi:<a
    href="https://doi.org/10.1142/S0218202521500457">10.1142/S0218202521500457</a>.
  short: M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied
    Sciences 31 (2021).
date_created: 2021-09-12T22:01:25Z
date_published: 2021-08-25T00:00:00Z
date_updated: 2026-08-18T07:47:39Z
day: '25'
department:
- _id: JuFi
doi: 10.1142/S0218202521500457
external_id:
  arxiv:
  - '2009.06917'
  isi:
  - '000722222900004'
fulldoi: https://doi.org/10.1142/S0218202521500457
intvolume: '        31'
isi: 1
issue: '09'
keyword:
- Nonlinear parabolic systems
- implicit constitutive theory
- weak solutions
- existence
- uniqueness
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2009.06917
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
  eissn:
  - 1793-6314
  issn:
  - 0218-2025
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: On nonlinear problems of parabolic type with implicit constitutive equations
  involving flux
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 31
year: '2021'
...
---
_id: '10665'
abstract:
- lang: eng
  text: "Formal verification of neural networks is an active topic of research, and
    recent advances have significantly increased the size of the networks that verification
    tools can handle. However, most methods are designed for verification of an idealized
    model of the actual network which works over real arithmetic and ignores rounding
    imprecisions. This idealization is in stark contrast to network quantization,
    which is a technique that trades numerical precision for computational efficiency
    and is, therefore, often applied in practice. Neglecting rounding errors of such
    low-bit quantized neural networks has been shown to lead to wrong conclusions
    about the network’s correctness. Thus, the desired approach for verifying quantized
    neural networks would be one that takes these rounding errors\r\ninto account.
    In this paper, we show that verifying the bitexact implementation of quantized
    neural networks with bitvector specifications is PSPACE-hard, even though verifying
    idealized real-valued networks and satisfiability of bit-vector specifications
    alone are each in NP. Furthermore, we explore several practical heuristics toward
    closing the complexity gap between idealized and bit-exact verification. In particular,
    we propose three techniques for making SMT-based verification of quantized neural
    networks more scalable. Our experiments demonstrate that our proposed methods
    allow a speedup of up to three orders of magnitude over existing approaches."
acknowledgement: "This research was supported in part by the Austrian Science Fund
  (FWF) under grant Z211-N23 (Wittgenstein\r\nAward), ERC CoG 863818 (FoRM-SMArt),
  and the European Union’s Horizon 2020 research and innovation programme under the
  Marie Skłodowska-Curie Grant Agreement No. 665385.\r\n"
alternative_title:
- Technical Tracks
article_processing_charge: No
arxiv: 1
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Mathias
  full_name: Lechner, Mathias
  id: 3DC22916-F248-11E8-B48F-1D18A9856A87
  last_name: Lechner
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
citation:
  ama: 'Henzinger TA, Lechner M, Zikelic D. Scalable verification of quantized neural
    networks. In: <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>.
    Vol 35. AAAI Press; 2021:3787-3795. doi:<a href="https://doi.org/10.1609/aaai.v35i5.16496">10.1609/aaai.v35i5.16496</a>'
  apa: 'Henzinger, T. A., Lechner, M., &#38; Zikelic, D. (2021). Scalable verification
    of quantized neural networks. In <i>Proceedings of the AAAI Conference on Artificial
    Intelligence</i> (Vol. 35, pp. 3787–3795). Virtual: AAAI Press. <a href="https://doi.org/10.1609/aaai.v35i5.16496">https://doi.org/10.1609/aaai.v35i5.16496</a>'
  chicago: Henzinger, Thomas A, Mathias Lechner, and Dorde Zikelic. “Scalable Verification
    of Quantized Neural Networks.” In <i>Proceedings of the AAAI Conference on Artificial
    Intelligence</i>, 35:3787–95. AAAI Press, 2021. <a href="https://doi.org/10.1609/aaai.v35i5.16496">https://doi.org/10.1609/aaai.v35i5.16496</a>.
  ieee: T. A. Henzinger, M. Lechner, and D. Zikelic, “Scalable verification of quantized
    neural networks,” in <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>,
    Virtual, 2021, vol. 35, no. 5A, pp. 3787–3795.
  ista: 'Henzinger TA, Lechner M, Zikelic D. 2021. Scalable verification of quantized
    neural networks. Proceedings of the AAAI Conference on Artificial Intelligence.
    AAAI: Association for the Advancement of Artificial Intelligence, Technical Tracks,
    vol. 35, 3787–3795.'
  mla: Henzinger, Thomas A., et al. “Scalable Verification of Quantized Neural Networks.”
    <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>, vol. 35,
    no. 5A, AAAI Press, 2021, pp. 3787–95, doi:<a href="https://doi.org/10.1609/aaai.v35i5.16496">10.1609/aaai.v35i5.16496</a>.
  short: T.A. Henzinger, M. Lechner, D. Zikelic, in:, Proceedings of the AAAI Conference
    on Artificial Intelligence, AAAI Press, 2021, pp. 3787–3795.
conference:
  end_date: 2021-02-09
  location: Virtual
  name: 'AAAI: Association for the Advancement of Artificial Intelligence'
  start_date: 2021-02-02
corr_author: '1'
date_created: 2022-01-25T15:15:02Z
date_published: 2021-05-28T00:00:00Z
date_updated: 2026-08-19T09:28:05Z
day: '28'
ddc:
- '000'
department:
- _id: GradSch
- _id: ToHe
doi: 10.1609/aaai.v35i5.16496
ec_funded: 1
external_id:
  arxiv:
  - '2012.08185'
file:
- access_level: open_access
  checksum: 2bc8155b2526a70fba5b7301bc89dbd1
  content_type: application/pdf
  creator: mlechner
  date_created: 2022-01-26T07:41:16Z
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file_date_updated: 2022-01-26T07:41:16Z
fulldoi: https://doi.org/10.1609/aaai.v35i5.16496
has_accepted_license: '1'
intvolume: '        35'
issue: 5A
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://ojs.aaai.org/index.php/AAAI/article/view/16496
month: '05'
oa: 1
oa_version: Published Version
page: 3787-3795
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the AAAI Conference on Artificial Intelligence
publication_identifier:
  eissn:
  - 2374-3468
  isbn:
  - 978-1-57735-866-4
  issn:
  - 2159-5399
publication_status: published
publisher: AAAI Press
quality_controlled: '1'
related_material:
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  - id: '11362'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Scalable verification of quantized neural networks
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2021'
...
---
_id: '10671'
abstract:
- lang: eng
  text: We introduce a new class of time-continuous recurrent neural network models.
    Instead of declaring a learning system’s dynamics by implicit nonlinearities,
    we construct networks of linear first-order dynamical systems modulated via nonlinear
    interlinked gates. The resulting models represent dynamical systems with varying
    (i.e., liquid) time-constants coupled to their hidden state, with outputs being
    computed by numerical differential equation solvers. These neural networks exhibit
    stable and bounded behavior, yield superior expressivity within the family of
    neural ordinary differential equations, and give rise to improved performance
    on time-series prediction tasks. To demonstrate these properties, we first take
    a theoretical approach to find bounds over their dynamics, and compute their expressive
    power by the trajectory length measure in a latent trajectory space. We then conduct
    a series of time-series prediction experiments to manifest the approximation capability
    of Liquid Time-Constant Networks (LTCs) compared to classical and modern RNNs.
acknowledgement: "R.H. and D.R. are partially supported by Boeing. R.H. and R.G. were
  partially supported by the Horizon-2020 ECSEL\r\nProject grant No. 783163 (iDev40).
  M.L. was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23
  (Wittgenstein Award). A.A. is supported by the National Science Foundation (NSF)
  Graduate Research Fellowship Program. This research work is partially drawn from
  the PhD dissertation of R.H."
alternative_title:
- Technical Tracks
article_processing_charge: No
arxiv: 1
author:
- first_name: Ramin
  full_name: Hasani, Ramin
  last_name: Hasani
- first_name: Mathias
  full_name: Lechner, Mathias
  id: 3DC22916-F248-11E8-B48F-1D18A9856A87
  last_name: Lechner
- first_name: Alexander
  full_name: Amini, Alexander
  last_name: Amini
- first_name: Daniela
  full_name: Rus, Daniela
  last_name: Rus
- first_name: Radu
  full_name: Grosu, Radu
  last_name: Grosu
citation:
  ama: 'Hasani R, Lechner M, Amini A, Rus D, Grosu R. Liquid time-constant networks.
    In: <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>. Vol
    35. AAAI Press; 2021:7657-7666. doi:<a href="https://doi.org/10.1609/aaai.v35i9.16936">10.1609/aaai.v35i9.16936</a>'
  apa: 'Hasani, R., Lechner, M., Amini, A., Rus, D., &#38; Grosu, R. (2021). Liquid
    time-constant networks. In <i>Proceedings of the AAAI Conference on Artificial
    Intelligence</i> (Vol. 35, pp. 7657–7666). Virtual: AAAI Press. <a href="https://doi.org/10.1609/aaai.v35i9.16936">https://doi.org/10.1609/aaai.v35i9.16936</a>'
  chicago: Hasani, Ramin, Mathias Lechner, Alexander Amini, Daniela Rus, and Radu
    Grosu. “Liquid Time-Constant Networks.” In <i>Proceedings of the AAAI Conference
    on Artificial Intelligence</i>, 35:7657–66. AAAI Press, 2021. <a href="https://doi.org/10.1609/aaai.v35i9.16936">https://doi.org/10.1609/aaai.v35i9.16936</a>.
  ieee: R. Hasani, M. Lechner, A. Amini, D. Rus, and R. Grosu, “Liquid time-constant
    networks,” in <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>,
    Virtual, 2021, vol. 35, no. 9, pp. 7657–7666.
  ista: 'Hasani R, Lechner M, Amini A, Rus D, Grosu R. 2021. Liquid time-constant
    networks. Proceedings of the AAAI Conference on Artificial Intelligence. AAAI:
    Association for the Advancement of Artificial Intelligence, Technical Tracks,
    vol. 35, 7657–7666.'
  mla: Hasani, Ramin, et al. “Liquid Time-Constant Networks.” <i>Proceedings of the
    AAAI Conference on Artificial Intelligence</i>, vol. 35, no. 9, AAAI Press, 2021,
    pp. 7657–66, doi:<a href="https://doi.org/10.1609/aaai.v35i9.16936">10.1609/aaai.v35i9.16936</a>.
  short: R. Hasani, M. Lechner, A. Amini, D. Rus, R. Grosu, in:, Proceedings of the
    AAAI Conference on Artificial Intelligence, AAAI Press, 2021, pp. 7657–7666.
conference:
  end_date: 2021-02-09
  location: Virtual
  name: 'AAAI: Association for the Advancement of Artificial Intelligence'
  start_date: 2021-02-02
corr_author: '1'
date_created: 2022-01-25T15:48:36Z
date_published: 2021-05-28T00:00:00Z
date_updated: 2026-08-19T09:24:30Z
day: '28'
ddc:
- '000'
department:
- _id: GradSch
- _id: ToHe
doi: 10.1609/aaai.v35i9.16936
external_id:
  arxiv:
  - '2006.04439'
file:
- access_level: open_access
  checksum: 0f06995fba06dbcfa7ed965fc66027ff
  content_type: application/pdf
  creator: mlechner
  date_created: 2022-01-26T07:36:03Z
  date_updated: 2022-01-26T07:36:03Z
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  file_size: 4302669
  relation: main_file
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file_date_updated: 2022-01-26T07:36:03Z
fulldoi: https://doi.org/10.1609/aaai.v35i9.16936
has_accepted_license: '1'
intvolume: '        35'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://ojs.aaai.org/index.php/AAAI/article/view/16936
month: '05'
oa: 1
oa_version: Published Version
page: 7657-7666
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
publication: Proceedings of the AAAI Conference on Artificial Intelligence
publication_identifier:
  eissn:
  - 2374-3468
  isbn:
  - 978-1-57735-866-4
  issn:
  - 2159-5399
publication_status: published
publisher: AAAI Press
quality_controlled: '1'
status: public
title: Liquid time-constant networks
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2021'
...
---
_id: '11436'
abstract:
- lang: eng
  text: Asynchronous distributed algorithms are a popular way to reduce synchronization
    costs in large-scale optimization, and in particular for neural network training.
    However, for nonsmooth and nonconvex objectives, few convergence guarantees exist
    beyond cases where closed-form proximal operator solutions are available. As training
    most popular deep neural networks corresponds to optimizing nonsmooth and nonconvex
    objectives, there is a pressing need for such convergence guarantees. In this
    paper, we analyze for the first time the convergence of stochastic asynchronous
    optimization for this general class of objectives. In particular, we focus on
    stochastic subgradient methods allowing for block variable partitioning, where
    the shared model is asynchronously updated by concurrent processes. To this end,
    we use a probabilistic model which captures key features of real asynchronous
    scheduling between concurrent processes. Under this model, we establish convergence
    with probability one to an invariant set for stochastic subgradient methods with
    momentum. From a practical perspective, one issue with the family of algorithms
    that we consider is that they are not efficiently supported by machine learning
    frameworks, which mostly focus on distributed data-parallel strategies. To address
    this, we propose a new implementation strategy for shared-memory based training
    of deep neural networks for a partitioned but shared model in single- and multi-GPU
    settings. Based on this implementation, we achieve on average1.2x speed-up in
    comparison to state-of-the-art training methods for popular image classification
    tasks, without compromising accuracy.
acknowledgement: Vyacheslav Kungurtsev was supported by the OP VVV project CZ.02.1.01/0.0/0.0/16
  019/0000765 “Research Center for Informatics. Bapi Chatterjee was supported by the
  European Union’s Horizon 2020 research and innovation programme under the Marie
  Sklodowska-Curie grant agreement No. 754411 (ISTPlus). Dan Alistarh has received
  funding from the European Research Council (ERC) under the European Union’s Horizon
  2020 research and innovation programme (grant agreement No 805223 ScaleML).
article_processing_charge: No
arxiv: 1
author:
- first_name: Vyacheslav
  full_name: Kungurtsev, Vyacheslav
  last_name: Kungurtsev
- first_name: Malcolm
  full_name: Egan, Malcolm
  last_name: Egan
- first_name: Bapi
  full_name: Chatterjee, Bapi
  id: 3C41A08A-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-2742-4028
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
citation:
  ama: 'Kungurtsev V, Egan M, Chatterjee B, Alistarh D-A. Asynchronous optimization
    methods for efficient training of deep neural networks with guarantees. In: <i>35th
    AAAI Conference on Artificial Intelligence, AAAI 2021</i>. Vol 35. AAAI Press;
    2021:8209-8216. doi:<a href="https://doi.org/10.1609/aaai.v35i9.16999">10.1609/aaai.v35i9.16999</a>'
  apa: 'Kungurtsev, V., Egan, M., Chatterjee, B., &#38; Alistarh, D.-A. (2021). Asynchronous
    optimization methods for efficient training of deep neural networks with guarantees.
    In <i>35th AAAI Conference on Artificial Intelligence, AAAI 2021</i> (Vol. 35,
    pp. 8209–8216). Virtual, Online: AAAI Press. <a href="https://doi.org/10.1609/aaai.v35i9.16999">https://doi.org/10.1609/aaai.v35i9.16999</a>'
  chicago: Kungurtsev, Vyacheslav, Malcolm Egan, Bapi Chatterjee, and Dan-Adrian Alistarh.
    “Asynchronous Optimization Methods for Efficient Training of Deep Neural Networks
    with Guarantees.” In <i>35th AAAI Conference on Artificial Intelligence, AAAI
    2021</i>, 35:8209–16. AAAI Press, 2021. <a href="https://doi.org/10.1609/aaai.v35i9.16999">https://doi.org/10.1609/aaai.v35i9.16999</a>.
  ieee: V. Kungurtsev, M. Egan, B. Chatterjee, and D.-A. Alistarh, “Asynchronous optimization
    methods for efficient training of deep neural networks with guarantees,” in <i>35th
    AAAI Conference on Artificial Intelligence, AAAI 2021</i>, Virtual, Online, 2021,
    vol. 35, no. 9B, pp. 8209–8216.
  ista: 'Kungurtsev V, Egan M, Chatterjee B, Alistarh D-A. 2021. Asynchronous optimization
    methods for efficient training of deep neural networks with guarantees. 35th AAAI
    Conference on Artificial Intelligence, AAAI 2021. AAAI: Conference on Artificial
    Intelligence vol. 35, 8209–8216.'
  mla: Kungurtsev, Vyacheslav, et al. “Asynchronous Optimization Methods for Efficient
    Training of Deep Neural Networks with Guarantees.” <i>35th AAAI Conference on
    Artificial Intelligence, AAAI 2021</i>, vol. 35, no. 9B, AAAI Press, 2021, pp.
    8209–16, doi:<a href="https://doi.org/10.1609/aaai.v35i9.16999">10.1609/aaai.v35i9.16999</a>.
  short: V. Kungurtsev, M. Egan, B. Chatterjee, D.-A. Alistarh, in:, 35th AAAI Conference
    on Artificial Intelligence, AAAI 2021, AAAI Press, 2021, pp. 8209–8216.
conference:
  end_date: 2021-02-09
  location: Virtual, Online
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2021-02-02
date_created: 2022-06-05T22:01:52Z
date_published: 2021-05-18T00:00:00Z
date_updated: 2026-08-19T09:25:06Z
day: '18'
department:
- _id: DaAl
doi: 10.1609/aaai.v35i9.16999
ec_funded: 1
external_id:
  arxiv:
  - '1905.11845'
fulldoi: https://doi.org/10.1609/aaai.v35i9.16999
intvolume: '        35'
issue: 9B
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.1905.11845'
month: '05'
oa: 1
oa_version: Preprint
page: 8209-8216
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
publication: 35th AAAI Conference on Artificial Intelligence, AAAI 2021
publication_identifier:
  eissn:
  - 2374-3468
  isbn:
  - '9781713835974'
  issn:
  - 2159-5399
publication_status: published
publisher: AAAI Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Asynchronous optimization methods for efficient training of deep neural networks
  with guarantees
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2021'
...
---
_id: '10669'
abstract:
- lang: eng
  text: "We show that Neural ODEs, an emerging class of timecontinuous neural networks,
    can be verified by solving a set of global-optimization problems. For this purpose,
    we introduce Stochastic Lagrangian Reachability (SLR), an\r\nabstraction-based
    technique for constructing a tight Reachtube (an over-approximation of the set
    of reachable states\r\nover a given time-horizon), and provide stochastic guarantees
    in the form of confidence intervals for the Reachtube bounds. SLR inherently avoids
    the infamous wrapping effect (accumulation of over-approximation errors) by performing
    local optimization steps to expand safe regions instead of repeatedly forward-propagating
    them as is done by deterministic reachability methods. To enable fast local optimizations,
    we introduce a novel forward-mode adjoint sensitivity method to compute gradients
    without the need for backpropagation. Finally, we establish asymptotic and non-asymptotic
    convergence rates for SLR."
acknowledgement: "The authors would like to thank the reviewers for their insightful
  comments. RH and RG were partially supported by\r\nHorizon-2020 ECSEL Project grant
  No. 783163 (iDev40). RH was partially supported by Boeing. ML was supported\r\nin
  part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award).
  SG was funded by FWF\r\nproject W1255-N23. JC was partially supported by NAWA Polish
  Returns grant PPN/PPO/2018/1/00029. SS was supported by NSF awards DCL-2040599,
  CCF-1918225, and CPS-1446832.\r\n"
alternative_title:
- Technical Tracks
article_processing_charge: No
arxiv: 1
author:
- first_name: Sophie
  full_name: Grunbacher, Sophie
  last_name: Grunbacher
- first_name: Ramin
  full_name: Hasani, Ramin
  last_name: Hasani
- first_name: Mathias
  full_name: Lechner, Mathias
  id: 3DC22916-F248-11E8-B48F-1D18A9856A87
  last_name: Lechner
- first_name: Jacek
  full_name: Cyranka, Jacek
  last_name: Cyranka
- first_name: Scott A
  full_name: Smolka, Scott A
  last_name: Smolka
- first_name: Radu
  full_name: Grosu, Radu
  last_name: Grosu
citation:
  ama: 'Grunbacher S, Hasani R, Lechner M, Cyranka J, Smolka SA, Grosu R. On the verification
    of neural ODEs with stochastic guarantees. In: <i>Proceedings of the AAAI Conference
    on Artificial Intelligence</i>. Vol 35. AAAI Press; 2021:11525-11535. doi:<a href="https://doi.org/10.1609/aaai.v35i13.17372">10.1609/aaai.v35i13.17372</a>'
  apa: 'Grunbacher, S., Hasani, R., Lechner, M., Cyranka, J., Smolka, S. A., &#38;
    Grosu, R. (2021). On the verification of neural ODEs with stochastic guarantees.
    In <i>Proceedings of the AAAI Conference on Artificial Intelligence</i> (Vol.
    35, pp. 11525–11535). Virtual: AAAI Press. <a href="https://doi.org/10.1609/aaai.v35i13.17372">https://doi.org/10.1609/aaai.v35i13.17372</a>'
  chicago: Grunbacher, Sophie, Ramin Hasani, Mathias Lechner, Jacek Cyranka, Scott
    A Smolka, and Radu Grosu. “On the Verification of Neural ODEs with Stochastic
    Guarantees.” In <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>,
    35:11525–35. AAAI Press, 2021. <a href="https://doi.org/10.1609/aaai.v35i13.17372">https://doi.org/10.1609/aaai.v35i13.17372</a>.
  ieee: S. Grunbacher, R. Hasani, M. Lechner, J. Cyranka, S. A. Smolka, and R. Grosu,
    “On the verification of neural ODEs with stochastic guarantees,” in <i>Proceedings
    of the AAAI Conference on Artificial Intelligence</i>, Virtual, 2021, vol. 35,
    no. 13, pp. 11525–11535.
  ista: 'Grunbacher S, Hasani R, Lechner M, Cyranka J, Smolka SA, Grosu R. 2021. On
    the verification of neural ODEs with stochastic guarantees. Proceedings of the
    AAAI Conference on Artificial Intelligence. AAAI: Association for the Advancement
    of Artificial Intelligence, Technical Tracks, vol. 35, 11525–11535.'
  mla: Grunbacher, Sophie, et al. “On the Verification of Neural ODEs with Stochastic
    Guarantees.” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>,
    vol. 35, no. 13, AAAI Press, 2021, pp. 11525–35, doi:<a href="https://doi.org/10.1609/aaai.v35i13.17372">10.1609/aaai.v35i13.17372</a>.
  short: S. Grunbacher, R. Hasani, M. Lechner, J. Cyranka, S.A. Smolka, R. Grosu,
    in:, Proceedings of the AAAI Conference on Artificial Intelligence, AAAI Press,
    2021, pp. 11525–11535.
conference:
  end_date: 2021-02-09
  location: Virtual
  name: 'AAAI: Association for the Advancement of Artificial Intelligence'
  start_date: 2021-02-02
corr_author: '1'
date_created: 2022-01-25T15:47:20Z
date_published: 2021-05-28T00:00:00Z
date_updated: 2026-08-19T09:29:48Z
day: '28'
ddc:
- '000'
department:
- _id: GradSch
- _id: ToHe
doi: 10.1609/aaai.v35i13.17372
external_id:
  arxiv:
  - '2012.08863'
file:
- access_level: open_access
  checksum: 468d07041e282a1d46ffdae92f709630
  content_type: application/pdf
  creator: mlechner
  date_created: 2022-01-26T07:38:08Z
  date_updated: 2022-01-26T07:38:08Z
  file_id: '10680'
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  file_size: 286906
  relation: main_file
  success: 1
file_date_updated: 2022-01-26T07:38:08Z
fulldoi: https://doi.org/10.1609/aaai.v35i13.17372
has_accepted_license: '1'
intvolume: '        35'
issue: '13'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://ojs.aaai.org/index.php/AAAI/article/view/17372
month: '05'
oa: 1
oa_version: Published Version
page: 11525-11535
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
publication: Proceedings of the AAAI Conference on Artificial Intelligence
publication_identifier:
  eissn:
  - 2374-3468
  isbn:
  - 978-1-57735-866-4
  issn:
  - 2159-5399
publication_status: published
publisher: AAAI Press
quality_controlled: '1'
status: public
title: On the verification of neural ODEs with stochastic guarantees
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2021'
...
---
OA_place: publisher
_id: '10429'
abstract:
- lang: eng
  text: "The scalability of concurrent data structures and distributed algorithms
    strongly depends on\r\nreducing the contention for shared resources and the costs
    of synchronization and communication. We show how such cost reductions can be
    attained by relaxing the strict consistency conditions required by sequential
    implementations. In the first part of the thesis, we consider relaxation in the
    context of concurrent data structures. Specifically, in data structures \r\nsuch
    as priority queues, imposing strong semantics renders scalability impossible,
    since a correct implementation of the remove operation should return only the
    element with highest priority. Intuitively, attempting to invoke remove operations
    concurrently  creates a race condition. This bottleneck  can be circumvented by
    relaxing semantics of the affected data structure, thus allowing removal of the
    elements which are no longer required to have the highest priority. We prove that
    the randomized implementations of relaxed data structures provide provable guarantees
    on the priority of the removed elements even under concurrency. Additionally,
    we show that in some cases the relaxed data structures can be used to scale the
    classical algorithms which are usually implemented with the exact ones. In the
    second part, we study parallel variants of the  stochastic gradient descent (SGD)
    algorithm, which distribute computation  among the multiple processors, thus reducing
    the running time. Unfortunately, in order for standard parallel SGD to succeed,
    each processor has to maintain a local copy of the necessary model parameter,
    which is identical to the local copies of other processors; the overheads from
    this perfect consistency in terms of communication and synchronization can negate
    the speedup gained by distributing the computation. We show that the consistency
    conditions required by SGD can be  relaxed, allowing the algorithm to be more
    flexible in terms of tolerating quantized communication, asynchrony, or even crash
    faults, while its convergence remains asymptotically the same."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Giorgi
  full_name: Nadiradze, Giorgi
  id: 3279A00C-F248-11E8-B48F-1D18A9856A87
  last_name: Nadiradze
  orcid: 0000-0001-5634-0731
citation:
  ama: Nadiradze G. On achieving scalability through relaxation. 2021. doi:<a href="https://doi.org/10.15479/at:ista:10429">10.15479/at:ista:10429</a>
  apa: Nadiradze, G. (2021). <i>On achieving scalability through relaxation</i>. Institute
    of Science and Technology Austria. <a href="https://doi.org/10.15479/at:ista:10429">https://doi.org/10.15479/at:ista:10429</a>
  chicago: Nadiradze, Giorgi. “On Achieving Scalability through Relaxation.” Institute
    of Science and Technology Austria, 2021. <a href="https://doi.org/10.15479/at:ista:10429">https://doi.org/10.15479/at:ista:10429</a>.
  ieee: G. Nadiradze, “On achieving scalability through relaxation,” Institute of
    Science and Technology Austria, 2021.
  ista: Nadiradze G. 2021. On achieving scalability through relaxation. Institute
    of Science and Technology Austria.
  mla: Nadiradze, Giorgi. <i>On Achieving Scalability through Relaxation</i>. Institute
    of Science and Technology Austria, 2021, doi:<a href="https://doi.org/10.15479/at:ista:10429">10.15479/at:ista:10429</a>.
  short: G. Nadiradze, On Achieving Scalability through Relaxation, Institute of Science
    and Technology Austria, 2021.
corr_author: '1'
date_created: 2021-12-08T21:52:28Z
date_published: 2021-12-09T00:00:00Z
date_updated: 2026-08-19T09:30:23Z
day: '09'
ddc:
- '000'
degree_awarded: PhD
department:
- _id: GradSch
- _id: DaAl
doi: 10.15479/at:ista:10429
ec_funded: 1
file:
- access_level: open_access
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  creator: gnadirad
  date_created: 2021-12-09T17:47:49Z
  date_updated: 2021-12-09T17:47:49Z
  file_id: '10436'
  file_name: Thesis_Final_09_12_2021.pdf
  file_size: 2370859
  relation: main_file
  success: 1
- access_level: closed
  checksum: 914d6c5ca86bd0add471971a8f4c4341
  content_type: application/zip
  creator: gnadirad
  date_created: 2021-12-09T17:47:49Z
  date_updated: 2022-03-28T12:55:12Z
  file_id: '10437'
  file_name: Thesis_Final_09_12_2021.zip
  file_size: 2596924
  relation: source_file
file_date_updated: 2022-03-28T12:55:12Z
fulldoi: https://doi.org/10.15479/at:ista:10429
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: '132'
project:
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '6673'
    relation: part_of_dissertation
    status: public
  - id: '5965'
    relation: part_of_dissertation
    status: public
  - id: '10435'
    relation: part_of_dissertation
    status: public
  - id: '10432'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
title: On achieving scalability through relaxation
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2021'
...
---
_id: '10432'
abstract:
- lang: eng
  text: One key element behind the recent progress of machine learning has been the
    ability to train machine learning models in large-scale distributed shared-memory
    and message-passing environments. Most of these models are trained employing variants
    of stochastic gradient descent (SGD) based optimization, but most methods involve
    some type of consistency relaxation relative to sequential SGD, to mitigate its
    large communication or synchronization costs at scale. In this paper, we introduce
    a general consistency condition covering communication-reduced and asynchronous
    distributed SGD implementations. Our framework, called elastic consistency, decouples
    the system-specific aspects of the implementation from the SGD convergence requirements,
    giving a general way to obtain convergence bounds for a wide variety of distributed
    SGD methods used in practice. Elastic consistency can be used to re-derive or
    improve several previous convergence bounds in message-passing and shared-memory
    settings, but also to analyze new models and distribution schemes. As a direct
    application, we propose and analyze a new synchronization-avoiding scheduling
    scheme for distributed SGD, and show that it can be used to efficiently train
    deep convolutional models for image classification.
acknowledgement: "We would like to thank Christopher De Sa for his feedback on an
  earlier draft of this paper, as well as the anonymous AAAI reviewers for their useful
  comments. This project has received\r\nfunding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (grant agreement No 805223 ScaleML). Bapi\r\nChatterjee was supported by the European
  Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie
  grant agreement No. 754411 (ISTPlus)."
article_processing_charge: No
arxiv: 1
author:
- first_name: Giorgi
  full_name: Nadiradze, Giorgi
  id: 3279A00C-F248-11E8-B48F-1D18A9856A87
  last_name: Nadiradze
  orcid: 0000-0001-5634-0731
- first_name: Ilia
  full_name: Markov, Ilia
  id: D0CF4148-C985-11E9-8066-0BDEE5697425
  last_name: Markov
- first_name: Bapi
  full_name: Chatterjee, Bapi
  id: 3C41A08A-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-2742-4028
- first_name: 'Vyacheslav '
  full_name: 'Kungurtsev, Vyacheslav '
  last_name: Kungurtsev
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
citation:
  ama: 'Nadiradze G, Markov I, Chatterjee B, Kungurtsev V, Alistarh D-A. Elastic consistency:
    A practical consistency model for distributed stochastic gradient descent. In:
    <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>. Vol 35.
    ; 2021:9037-9045. doi:<a href="https://doi.org/10.1609/aaai.v35i10.17092">10.1609/aaai.v35i10.17092</a>'
  apa: 'Nadiradze, G., Markov, I., Chatterjee, B., Kungurtsev, V., &#38; Alistarh,
    D.-A. (2021). Elastic consistency: A practical consistency model for distributed
    stochastic gradient descent. In <i>Proceedings of the AAAI Conference on Artificial
    Intelligence</i> (Vol. 35, pp. 9037–9045). Virtual. <a href="https://doi.org/10.1609/aaai.v35i10.17092">https://doi.org/10.1609/aaai.v35i10.17092</a>'
  chicago: 'Nadiradze, Giorgi, Ilia Markov, Bapi Chatterjee, Vyacheslav  Kungurtsev,
    and Dan-Adrian Alistarh. “Elastic Consistency: A Practical Consistency Model for
    Distributed Stochastic Gradient Descent.” In <i>Proceedings of the AAAI Conference
    on Artificial Intelligence</i>, 35:9037–45, 2021. <a href="https://doi.org/10.1609/aaai.v35i10.17092">https://doi.org/10.1609/aaai.v35i10.17092</a>.'
  ieee: 'G. Nadiradze, I. Markov, B. Chatterjee, V. Kungurtsev, and D.-A. Alistarh,
    “Elastic consistency: A practical consistency model for distributed stochastic
    gradient descent,” in <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>,
    Virtual, 2021, vol. 35, no. 10, pp. 9037–9045.'
  ista: 'Nadiradze G, Markov I, Chatterjee B, Kungurtsev V, Alistarh D-A. 2021. Elastic
    consistency: A practical consistency model for distributed stochastic gradient
    descent. Proceedings of the AAAI Conference on Artificial Intelligence. AAAI:
    Association for the Advancement of Artificial Intelligence vol. 35, 9037–9045.'
  mla: 'Nadiradze, Giorgi, et al. “Elastic Consistency: A Practical Consistency Model
    for Distributed Stochastic Gradient Descent.” <i>Proceedings of the AAAI Conference
    on Artificial Intelligence</i>, vol. 35, no. 10, 2021, pp. 9037–45, doi:<a href="https://doi.org/10.1609/aaai.v35i10.17092">10.1609/aaai.v35i10.17092</a>.'
  short: G. Nadiradze, I. Markov, B. Chatterjee, V. Kungurtsev, D.-A. Alistarh, in:,
    Proceedings of the AAAI Conference on Artificial Intelligence, 2021, pp. 9037–9045.
conference:
  end_date: 2021-02-09
  location: Virtual
  name: 'AAAI: Association for the Advancement of Artificial Intelligence'
  start_date: 2021-02-02
date_created: 2021-12-09T09:21:35Z
date_published: 2021-05-18T00:00:00Z
date_updated: 2026-08-19T09:30:23Z
day: '18'
ddc:
- '000'
department:
- _id: DaAl
doi: 10.1609/aaai.v35i10.17092
ec_funded: 1
external_id:
  arxiv:
  - '2001.05918'
fulldoi: https://doi.org/10.1609/aaai.v35i10.17092
intvolume: '        35'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://ojs.aaai.org/index.php/AAAI/article/view/17092
month: '05'
oa: 1
oa_version: Published Version
page: 9037-9045
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
publication: Proceedings of the AAAI Conference on Artificial Intelligence
publication_status: published
quality_controlled: '1'
related_material:
  record:
  - id: '10429'
    relation: dissertation_contains
    status: public
status: public
title: 'Elastic consistency: A practical consistency model for distributed stochastic
  gradient descent'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2021'
...
---
_id: '12077'
abstract:
- lang: eng
  text: "We compare the Manin-type conjecture for Campana points recently formulated\r\nby
    Pieropan, Smeets, Tanimoto and V\\'{a}rilly-Alvarado with an alternative\r\nprediction
    of Browning and Van Valckenborgh in the special case of the orbifold\r\n$(\\mathbb{P}^1,D)$,
    where $D =\\frac{1}{2}[0]+\\frac{1}{2}[1]+\\frac{1}{2}[\\infty]$. We find that
    the two predicted leading constants do not agree, and we discuss whether thin
    sets\r\ncould explain this discrepancy. Motivated by this, we provide a counterexample\r\nto
    the Manin-type conjecture for Campana points, by considering orbifolds\r\ncorresponding
    to squareful values of binary quadratic forms."
acknowledgement: The author would like to thank Damaris Schindler and Florian Wilsch
  for their helpful comments on the heights and Tamagawa measures used in Section
  3, together with Marta Pieropan, Sho Tanimoto and Sam Streeter for providing valuable
  feedback on an earlier version of this paper, and Tim Browning for many useful comments
  and discussions during the development of this work. The author is also grateful
  to the anonymous referee for providing many valuable comments and suggestions that
  improved the quality of the paper.
article_number: '2104.14946'
article_processing_charge: No
arxiv: 1
author:
- first_name: Alec L
  full_name: Shute, Alec L
  id: 440EB050-F248-11E8-B48F-1D18A9856A87
  last_name: Shute
  orcid: 0000-0002-1812-2810
citation:
  ama: Shute AL. On the leading constant in the Manin-type conjecture for Campana
    points. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2104.14946">10.48550/arXiv.2104.14946</a>
  apa: Shute, A. L. (n.d.). On the leading constant in the Manin-type conjecture for
    Campana points. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2104.14946">https://doi.org/10.48550/arXiv.2104.14946</a>
  chicago: Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for
    Campana Points.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2104.14946">https://doi.org/10.48550/arXiv.2104.14946</a>.
  ieee: A. L. Shute, “On the leading constant in the Manin-type conjecture for Campana
    points,” <i>arXiv</i>. .
  ista: Shute AL. On the leading constant in the Manin-type conjecture for Campana
    points. arXiv, 2104.14946.
  mla: Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana
    Points.” <i>ArXiv</i>, 2104.14946, doi:<a href="https://doi.org/10.48550/arXiv.2104.14946">10.48550/arXiv.2104.14946</a>.
  short: A.L. Shute, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2022-09-09T10:43:17Z
date_published: 2021-04-30T00:00:00Z
date_updated: 2026-08-19T12:54:58Z
day: '30'
department:
- _id: TiBr
doi: 10.48550/arXiv.2104.14946
external_id:
  arxiv:
  - '2104.14946'
fulldoi: https://doi.org/10.48550/arXiv.2104.14946
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2104.14946
month: '04'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '12072'
    relation: dissertation_contains
    status: public
  - id: '17058'
    relation: later_version
    status: public
researchdata_availability: no
status: public
supplementarymaterial: no
title: On the leading constant in the Manin-type conjecture for Campana points
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2021'
...
---
_id: '9558'
abstract:
- lang: eng
  text: "We show that turbulent dynamics that arise in simulations of the three-dimensional
    Navier--Stokes equations in a triply-periodic domain under sinusoidal forcing
    can be described as transient visits to the neighborhoods of unstable time-periodic
    solutions. Based on this description, we reduce the original system with more
    than 10^5 degrees of freedom to a 17-node Markov chain where each node corresponds
    to the neighborhood of a periodic orbit. The model accurately reproduces long-term
    averages of the system's observables as weighted sums over the periodic orbits.\r\n"
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "We thank the referees for improving this Letter with their comments.
  We acknowledge stimulating discussions with\r\nH. Edelsbrunner. This work was supported
  by Grant No. 662960 from the Simons Foundation (B. H.). The numerical calculations
  were performed at TUBITAK ULAKBIM High Performance and Grid Computing Center (TRUBA
  resources) and IST Austria High Performance Computing cluster."
article_number: '244502'
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Gökhan
  full_name: Yalniz, Gökhan
  id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
  last_name: Yalniz
  orcid: 0000-0002-8490-9312
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
- first_name: Nazmi B
  full_name: Budanur, Nazmi B
  id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
  last_name: Budanur
  orcid: 0000-0003-0423-5010
citation:
  ama: Yalniz G, Hof B, Budanur NB. Coarse graining the state space of a turbulent
    flow using periodic orbits. <i>Physical Review Letters</i>. 2021;126(24). doi:<a
    href="https://doi.org/10.1103/PhysRevLett.126.244502">10.1103/PhysRevLett.126.244502</a>
  apa: Yalniz, G., Hof, B., &#38; Budanur, N. B. (2021). Coarse graining the state
    space of a turbulent flow using periodic orbits. <i>Physical Review Letters</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.126.244502">https://doi.org/10.1103/PhysRevLett.126.244502</a>
  chicago: Yalniz, Gökhan, Björn Hof, and Nazmi B Budanur. “Coarse Graining the State
    Space of a Turbulent Flow Using Periodic Orbits.” <i>Physical Review Letters</i>.
    American Physical Society, 2021. <a href="https://doi.org/10.1103/PhysRevLett.126.244502">https://doi.org/10.1103/PhysRevLett.126.244502</a>.
  ieee: G. Yalniz, B. Hof, and N. B. Budanur, “Coarse graining the state space of
    a turbulent flow using periodic orbits,” <i>Physical Review Letters</i>, vol.
    126, no. 24. American Physical Society, 2021.
  ista: Yalniz G, Hof B, Budanur NB. 2021. Coarse graining the state space of a turbulent
    flow using periodic orbits. Physical Review Letters. 126(24), 244502.
  mla: Yalniz, Gökhan, et al. “Coarse Graining the State Space of a Turbulent Flow
    Using Periodic Orbits.” <i>Physical Review Letters</i>, vol. 126, no. 24, 244502,
    American Physical Society, 2021, doi:<a href="https://doi.org/10.1103/PhysRevLett.126.244502">10.1103/PhysRevLett.126.244502</a>.
  short: G. Yalniz, B. Hof, N.B. Budanur, Physical Review Letters 126 (2021).
corr_author: '1'
date_created: 2021-06-16T15:45:36Z
date_published: 2021-06-18T00:00:00Z
date_updated: 2026-09-02T08:16:31Z
day: '18'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1103/PhysRevLett.126.244502
external_id:
  arxiv:
  - '2007.02584'
  isi:
  - '000663310100008'
fulldoi: https://doi.org/10.1103/PhysRevLett.126.244502
intvolume: '       126'
isi: 1
issue: '24'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2007.02584
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
  grant_number: '662960'
  name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/turbulent-flow-simplified/
  record:
  - id: '19591'
    relation: popular_science
    status: returned
  - id: '19684'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Coarse graining the state space of a turbulent flow using periodic orbits
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 126
year: '2021'
...
---
OA_place: publisher
_id: '10035'
abstract:
- lang: eng
  text: 'Many security definitions come in two flavors: a stronger “adaptive” flavor,
    where the adversary can arbitrarily make various choices during the course of
    the attack, and a weaker “selective” flavor where the adversary must commit to
    some or all of their choices a-priori. For example, in the context of identity-based
    encryption, selective security requires the adversary to decide on the identity
    of the attacked party at the very beginning of the game whereas adaptive security
    allows the attacker to first see the master public key and some secret keys before
    making this choice. Often, it appears to be much easier to achieve selective security
    than it is to achieve adaptive security. A series of several recent works shows
    how to cleverly achieve adaptive security in several such scenarios including
    generalized selective decryption [Pan07][FJP15], constrained PRFs [FKPR14], and
    Yao’s garbled circuits [JW16]. Although the above works expressed vague intuition
    that they share a common technique, the connection was never made precise. In
    this work we present a new framework (published at Crypto ’17 [JKK+17a]) that
    connects all of these works and allows us to present them in a unified and simplified
    fashion. Having the framework in place, we show how to achieve adaptive security
    for proxy re-encryption schemes (published at PKC ’19 [FKKP19]) and provide the
    first adaptive security proofs for continuous group key agreement protocols (published
    at S&P ’21 [KPW+21]). Questioning optimality of our framework, we then show that
    currently used proof techniques cannot lead to significantly better security guarantees
    for "graph-building" games (published at TCC ’21 [KKPW21a]). These games cover
    generalized selective decryption, as well as the security of prominent constructions
    for constrained PRFs, continuous group key agreement, and proxy re-encryption.
    Finally, we revisit the adaptive security of Yao’s garbled circuits and extend
    the analysis of Jafargholi and Wichs in two directions: While they prove adaptive
    security only for a modified construction with increased online complexity, we
    provide the first positive results for the original construction by Yao (published
    at TCC ’21 [KKP21a]). On the negative side, we prove that the results of Jafargholi
    and Wichs are essentially optimal by showing that no black-box reduction can provide
    a significantly better security bound (published at Crypto ’21 [KKPW21c]).'
acknowledgement: "I want to acknowledge the funding by the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (682815 - TOCNeT).\r\n"
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Karen
  full_name: Klein, Karen
  id: 3E83A2F8-F248-11E8-B48F-1D18A9856A87
  last_name: Klein
citation:
  ama: Klein K. On the adaptive security of graph-based games. 2021. doi:<a href="https://doi.org/10.15479/at:ista:10035">10.15479/at:ista:10035</a>
  apa: Klein, K. (2021). <i>On the adaptive security of graph-based games</i>. Institute
    of Science and Technology Austria. <a href="https://doi.org/10.15479/at:ista:10035">https://doi.org/10.15479/at:ista:10035</a>
  chicago: Klein, Karen. “On the Adaptive Security of Graph-Based Games.” Institute
    of Science and Technology Austria, 2021. <a href="https://doi.org/10.15479/at:ista:10035">https://doi.org/10.15479/at:ista:10035</a>.
  ieee: K. Klein, “On the adaptive security of graph-based games,” Institute of Science
    and Technology Austria, 2021.
  ista: Klein K. 2021. On the adaptive security of graph-based games. Institute of
    Science and Technology Austria.
  mla: Klein, Karen. <i>On the Adaptive Security of Graph-Based Games</i>. Institute
    of Science and Technology Austria, 2021, doi:<a href="https://doi.org/10.15479/at:ista:10035">10.15479/at:ista:10035</a>.
  short: K. Klein, On the Adaptive Security of Graph-Based Games, Institute of Science
    and Technology Austria, 2021.
corr_author: '1'
date_created: 2021-09-23T07:31:44Z
date_published: 2021-09-23T00:00:00Z
date_updated: 2026-09-07T14:12:38Z
day: '23'
ddc:
- '519'
degree_awarded: PhD
department:
- _id: GradSch
- _id: KrPi
doi: 10.15479/at:ista:10035
ec_funded: 1
file:
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  date_created: 2021-10-04T12:22:33Z
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  file_id: '10082'
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  date_created: 2021-10-05T07:04:37Z
  date_updated: 2022-03-10T12:15:18Z
  file_id: '10085'
  file_name: thesis_final (1).zip
  file_size: 9538359
  relation: source_file
file_date_updated: 2022-03-10T12:15:18Z
fulldoi: https://doi.org/10.15479/at:ista:10035
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '276'
project:
- _id: 258AA5B2-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '682815'
  name: Teaching Old Crypto New Tricks
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '637'
    relation: part_of_dissertation
    status: public
  - id: '6430'
    relation: part_of_dissertation
    status: public
  - id: '10044'
    relation: part_of_dissertation
    status: public
  - id: '10048'
    relation: part_of_dissertation
    status: public
  - id: '10041'
    relation: part_of_dissertation
    status: public
  - id: '10049'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Krzysztof Z
  full_name: Pietrzak, Krzysztof Z
  id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87
  last_name: Pietrzak
  orcid: 0000-0002-9139-1654
title: On the adaptive security of graph-based games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2021'
...
---
_id: '9826'
abstract:
- lang: eng
  text: "Automated contract tracing aims at supporting manual contact tracing during
    pandemics by alerting users of encounters with infected people. There are currently
    many proposals for protocols (like the “decentralized” DP-3T and PACT or the “centralized”
    ROBERT and DESIRE) to be run on mobile phones, where the basic idea is to regularly
    broadcast (using low energy Bluetooth) some values, and at the same time store
    (a function of) incoming messages broadcasted by users in their proximity. In
    the existing proposals one can trigger false positives on a massive scale by an
    “inverse-Sybil” attack, where a large number of devices (malicious users or hacked
    phones) pretend to be the same user, such that later, just a single person needs
    to be diagnosed (and allowed to upload) to trigger an alert for all users who
    were in proximity to any of this large group of devices.\r\n\r\nWe propose the
    first protocols that do not succumb to such attacks assuming the devices involved
    in the attack do not constantly communicate, which we observe is a necessary assumption.
    The high level idea of the protocols is to derive the values to be broadcasted
    by a hash chain, so that two (or more) devices who want to launch an inverse-Sybil
    attack will not be able to connect their respective chains and thus only one of
    them will be able to upload. Our protocols also achieve security against replay,
    belated replay, and one of them even against relay attacks."
acknowledgement: Guillermo Pascual-Perez and Michelle Yeo were funded by the European
  Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska–Curie
  Grant Agreement No. 665385; the remaining contributors to this project have received
  funding from the European Research Council (ERC) under the European Union’s Horizon
  2020 research and innovation programme (682815 - TOCNeT).
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Benedikt
  full_name: Auerbach, Benedikt
  id: D33D2B18-E445-11E9-ABB7-15F4E5697425
  last_name: Auerbach
  orcid: 0000-0002-7553-6606
- first_name: Suvradip
  full_name: Chakraborty, Suvradip
  id: B9CD0494-D033-11E9-B219-A439E6697425
  last_name: Chakraborty
- first_name: Karen
  full_name: Klein, Karen
  id: 3E83A2F8-F248-11E8-B48F-1D18A9856A87
  last_name: Klein
- first_name: Guillermo
  full_name: Pascual Perez, Guillermo
  id: 2D7ABD02-F248-11E8-B48F-1D18A9856A87
  last_name: Pascual Perez
  orcid: 0000-0001-8630-415X
- first_name: Krzysztof Z
  full_name: Pietrzak, Krzysztof Z
  id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87
  last_name: Pietrzak
  orcid: 0000-0002-9139-1654
- first_name: Michael
  full_name: Walter, Michael
  id: 488F98B0-F248-11E8-B48F-1D18A9856A87
  last_name: Walter
  orcid: 0000-0003-3186-2482
- first_name: Michelle X
  full_name: Yeo, Michelle X
  id: 2D82B818-F248-11E8-B48F-1D18A9856A87
  last_name: Yeo
  orcid: 0009-0001-3676-4809
citation:
  ama: 'Auerbach B, Chakraborty S, Klein K, et al. Inverse-Sybil attacks in automated
    contact tracing. In: <i>Topics in Cryptology – CT-RSA 2021</i>. Vol 12704. Springer
    Nature; 2021:399-421. doi:<a href="https://doi.org/10.1007/978-3-030-75539-3_17">10.1007/978-3-030-75539-3_17</a>'
  apa: 'Auerbach, B., Chakraborty, S., Klein, K., Pascual Perez, G., Pietrzak, K.
    Z., Walter, M., &#38; Yeo, M. X. (2021). Inverse-Sybil attacks in automated contact
    tracing. In <i>Topics in Cryptology – CT-RSA 2021</i> (Vol. 12704, pp. 399–421).
    Virtual Event: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-75539-3_17">https://doi.org/10.1007/978-3-030-75539-3_17</a>'
  chicago: Auerbach, Benedikt, Suvradip Chakraborty, Karen Klein, Guillermo Pascual
    Perez, Krzysztof Z Pietrzak, Michael Walter, and Michelle X Yeo. “Inverse-Sybil
    Attacks in Automated Contact Tracing.” In <i>Topics in Cryptology – CT-RSA 2021</i>,
    12704:399–421. Springer Nature, 2021. <a href="https://doi.org/10.1007/978-3-030-75539-3_17">https://doi.org/10.1007/978-3-030-75539-3_17</a>.
  ieee: B. Auerbach <i>et al.</i>, “Inverse-Sybil attacks in automated contact tracing,”
    in <i>Topics in Cryptology – CT-RSA 2021</i>, Virtual Event, 2021, vol. 12704,
    pp. 399–421.
  ista: 'Auerbach B, Chakraborty S, Klein K, Pascual Perez G, Pietrzak KZ, Walter
    M, Yeo MX. 2021. Inverse-Sybil attacks in automated contact tracing. Topics in
    Cryptology – CT-RSA 2021. CT-RSA: Cryptographers’ Track at the RSA Conference,
    LNCS, vol. 12704, 399–421.'
  mla: Auerbach, Benedikt, et al. “Inverse-Sybil Attacks in Automated Contact Tracing.”
    <i>Topics in Cryptology – CT-RSA 2021</i>, vol. 12704, Springer Nature, 2021,
    pp. 399–421, doi:<a href="https://doi.org/10.1007/978-3-030-75539-3_17">10.1007/978-3-030-75539-3_17</a>.
  short: B. Auerbach, S. Chakraborty, K. Klein, G. Pascual Perez, K.Z. Pietrzak, M.
    Walter, M.X. Yeo, in:, Topics in Cryptology – CT-RSA 2021, Springer Nature, 2021,
    pp. 399–421.
conference:
  end_date: 2021-05-20
  location: Virtual Event
  name: 'CT-RSA: Cryptographers’ Track at the RSA Conference'
  start_date: 2021-05-17
corr_author: '1'
date_created: 2021-08-08T22:01:30Z
date_published: 2021-05-11T00:00:00Z
date_updated: 2026-09-07T11:37:54Z
day: '11'
department:
- _id: KrPi
- _id: GradSch
doi: 10.1007/978-3-030-75539-3_17
ec_funded: 1
fulldoi: https://doi.org/10.1007/978-3-030-75539-3_17
intvolume: '     12704'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://eprint.iacr.org/2020/670
month: '05'
oa: 1
oa_version: Submitted Version
page: 399-421
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 258AA5B2-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '682815'
  name: Teaching Old Crypto New Tricks
publication: Topics in Cryptology – CT-RSA 2021
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783030755386'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Inverse-Sybil attacks in automated contact tracing
type: conference
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 12704
year: '2021'
...
---
_id: '9345'
abstract:
- lang: eng
  text: Modeling a crystal as a periodic point set, we present a fingerprint consisting
    of density functionsthat facilitates the efficient search for new materials and
    material properties. We prove invarianceunder isometries, continuity, and completeness
    in the generic case, which are necessary featuresfor the reliable comparison of
    crystals. The proof of continuity integrates methods from discretegeometry and
    lattice theory, while the proof of generic completeness combines techniques fromgeometry
    with analysis. The fingerprint has a fast algorithm based on Brillouin zones and
    relatedinclusion-exclusion formulae. We have implemented the algorithm and describe
    its application tocrystal structure prediction.
acknowledgement: The authors thank Janos Pach for insightful discussions on the topic
  of thispaper, Morteza Saghafian for finding the one-dimensional counterexample mentioned
  in Section 5,and Larry Andrews for generously sharing his crystallographic perspective.
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Teresa
  full_name: Heiss, Teresa
  id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
  last_name: Heiss
  orcid: 0000-0002-1780-2689
- first_name: Vitaliy
  full_name: ' Kurlin , Vitaliy'
  last_name: ' Kurlin '
- first_name: Philip
  full_name: Smith, Philip
  last_name: Smith
- first_name: Mathijs
  full_name: Wintraecken, Mathijs
  id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
  last_name: Wintraecken
  orcid: 0000-0002-7472-2220
citation:
  ama: 'Edelsbrunner H, Heiss T,  Kurlin  V, Smith P, Wintraecken M. The density fingerprint
    of a periodic point set. In: <i>37th International Symposium on Computational
    Geometry</i>. Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021:32:1-32:16.
    doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.32">10.4230/LIPIcs.SoCG.2021.32</a>'
  apa: 'Edelsbrunner, H., Heiss, T.,  Kurlin , V., Smith, P., &#38; Wintraecken, M.
    (2021). The density fingerprint of a periodic point set. In <i>37th International
    Symposium on Computational Geometry</i> (Vol. 189, p. 32:1-32:16). Virtual: Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.32">https://doi.org/10.4230/LIPIcs.SoCG.2021.32</a>'
  chicago: Edelsbrunner, Herbert, Teresa Heiss, Vitaliy  Kurlin , Philip Smith, and
    Mathijs Wintraecken. “The Density Fingerprint of a Periodic Point Set.” In <i>37th
    International Symposium on Computational Geometry</i>, 189:32:1-32:16. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2021. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.32">https://doi.org/10.4230/LIPIcs.SoCG.2021.32</a>.
  ieee: H. Edelsbrunner, T. Heiss, V.  Kurlin , P. Smith, and M. Wintraecken, “The
    density fingerprint of a periodic point set,” in <i>37th International Symposium
    on Computational Geometry</i>, Virtual, 2021, vol. 189, p. 32:1-32:16.
  ista: 'Edelsbrunner H, Heiss T,  Kurlin  V, Smith P, Wintraecken M. 2021. The density
    fingerprint of a periodic point set. 37th International Symposium on Computational
    Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 189, 32:1-32:16.'
  mla: Edelsbrunner, Herbert, et al. “The Density Fingerprint of a Periodic Point
    Set.” <i>37th International Symposium on Computational Geometry</i>, vol. 189,
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16, doi:<a
    href="https://doi.org/10.4230/LIPIcs.SoCG.2021.32">10.4230/LIPIcs.SoCG.2021.32</a>.
  short: H. Edelsbrunner, T. Heiss, V.  Kurlin , P. Smith, M. Wintraecken, in:, 37th
    International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2021, p. 32:1-32:16.
conference:
  end_date: 2021-06-11
  location: Virtual
  name: 'SoCG: Symposium on Computational Geometry'
  start_date: 2021-06-07
das_tickbox: '1'
date_created: 2021-04-22T08:09:58Z
date_published: 2021-06-02T00:00:00Z
date_updated: 2026-10-02T11:24:33Z
day: '02'
ddc:
- '004'
- '516'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.SoCG.2021.32
ec_funded: 1
file:
- access_level: open_access
  checksum: 1787baef1523d6d93753b90d0c109a6d
  content_type: application/pdf
  creator: mwintrae
  date_created: 2021-04-22T08:08:14Z
  date_updated: 2021-04-22T08:08:14Z
  file_id: '9346'
  file_name: df_socg_final_version.pdf
  file_size: 3117435
  relation: main_file
  success: 1
file_date_updated: 2021-04-22T08:08:14Z
fulldoi: https://doi.org/10.4230/LIPIcs.SoCG.2021.32
has_accepted_license: '1'
intvolume: '       189'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 32:1-32:16
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
  grant_number: I4887
  name: Persistent Homology, Algorithms and Stochastic Geometry
- _id: 25C5A090-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00312
  name: Synaptic communication in neuronal microcircuits
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 37th International Symposium on Computational Geometry
publication_identifier:
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
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    status: public
scopus_import: '1'
status: public
title: The density fingerprint of a periodic point set
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 189
year: '2021'
...
---
_id: '9928'
abstract:
- lang: eng
  text: There are two elementary superconducting qubit types that derive directly
    from the quantum harmonic oscillator. In one, the inductor is replaced by a nonlinear
    Josephson junction to realize the widely used charge qubits with a compact phase
    variable and a discrete charge wave function. In the other, the junction is added
    in parallel, which gives rise to an extended phase variable, continuous wave functions,
    and a rich energy-level structure due to the loop topology. While the corresponding
    rf superconducting quantum interference device Hamiltonian was introduced as a
    quadratic quasi-one-dimensional potential approximation to describe the fluxonium
    qubit implemented with long Josephson-junction arrays, in this work we implement
    it directly using a linear superinductor formed by a single uninterrupted aluminum
    wire. We present a large variety of qubits, all stemming from the same circuit
    but with drastically different characteristic energy scales. This includes flux
    and fluxonium qubits but also the recently introduced quasicharge qubit with strongly
    enhanced zero-point phase fluctuations and a heavily suppressed flux dispersion.
    The use of a geometric inductor results in high reproducibility of the inductive
    energy as guaranteed by top-down lithography—a key ingredient for intrinsically
    protected superconducting qubits.
acknowledged_ssus:
- _id: NanoFab
- _id: M-Shop
acknowledgement: We thank W. Hughes for analytic and numerical modeling during the
  early stages of this work, J. Koch for discussions and support with the scqubits
  package, R. Sett, P. Zielinski, and L. Drmic for software development, and G. Katsaros
  for equipment support, as well as the MIBA workshop and the Institute of Science
  and Technology Austria nanofabrication facility. We thank I. Pop, S. Deleglise,
  and E. Flurin for discussions. This work was supported by a NOMIS Foundation research
  grant, the Austrian Science Fund (FWF) through BeyondC (F7105), and IST Austria.
  M.P. is the recipient of a Pöttinger scholarship at IST Austria. E.R. is the recipient
  of a DOC fellowship of the Austrian Academy of Sciences at IST Austria.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matilda
  full_name: Peruzzo, Matilda
  id: 3F920B30-F248-11E8-B48F-1D18A9856A87
  last_name: Peruzzo
  orcid: 0000-0002-3415-4628
- first_name: Farid
  full_name: Hassani, Farid
  id: 2AED110C-F248-11E8-B48F-1D18A9856A87
  last_name: Hassani
  orcid: 0000-0001-6937-5773
- first_name: Gregory
  full_name: Szep, Gregory
  last_name: Szep
- first_name: Andrea
  full_name: Trioni, Andrea
  id: 42F71B44-F248-11E8-B48F-1D18A9856A87
  last_name: Trioni
- first_name: Elena
  full_name: Redchenko, Elena
  id: 2C21D6E8-F248-11E8-B48F-1D18A9856A87
  last_name: Redchenko
- first_name: Martin
  full_name: Zemlicka, Martin
  id: 2DCF8DE6-F248-11E8-B48F-1D18A9856A87
  last_name: Zemlicka
  orcid: 0009-0005-0878-3032
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
citation:
  ama: 'Peruzzo M, Hassani F, Szep G, et al. Geometric superinductance qubits: Controlling
    phase delocalization across a single Josephson junction. <i>PRX Quantum</i>. 2021;2(4):040341.
    doi:<a href="https://doi.org/10.1103/PRXQuantum.2.040341">10.1103/PRXQuantum.2.040341</a>'
  apa: 'Peruzzo, M., Hassani, F., Szep, G., Trioni, A., Redchenko, E., Zemlicka, M.,
    &#38; Fink, J. M. (2021). Geometric superinductance qubits: Controlling phase
    delocalization across a single Josephson junction. <i>PRX Quantum</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PRXQuantum.2.040341">https://doi.org/10.1103/PRXQuantum.2.040341</a>'
  chicago: 'Peruzzo, Matilda, Farid Hassani, Gregory Szep, Andrea Trioni, Elena Redchenko,
    Martin Zemlicka, and Johannes M Fink. “Geometric Superinductance Qubits: Controlling
    Phase Delocalization across a Single Josephson Junction.” <i>PRX Quantum</i>.
    American Physical Society, 2021. <a href="https://doi.org/10.1103/PRXQuantum.2.040341">https://doi.org/10.1103/PRXQuantum.2.040341</a>.'
  ieee: 'M. Peruzzo <i>et al.</i>, “Geometric superinductance qubits: Controlling
    phase delocalization across a single Josephson junction,” <i>PRX Quantum</i>,
    vol. 2, no. 4. American Physical Society, p. 040341, 2021.'
  ista: 'Peruzzo M, Hassani F, Szep G, Trioni A, Redchenko E, Zemlicka M, Fink JM.
    2021. Geometric superinductance qubits: Controlling phase delocalization across
    a single Josephson junction. PRX Quantum. 2(4), 040341.'
  mla: 'Peruzzo, Matilda, et al. “Geometric Superinductance Qubits: Controlling Phase
    Delocalization across a Single Josephson Junction.” <i>PRX Quantum</i>, vol. 2,
    no. 4, American Physical Society, 2021, p. 040341, doi:<a href="https://doi.org/10.1103/PRXQuantum.2.040341">10.1103/PRXQuantum.2.040341</a>.'
  short: M. Peruzzo, F. Hassani, G. Szep, A. Trioni, E. Redchenko, M. Zemlicka, J.M.
    Fink, PRX Quantum 2 (2021) 040341.
corr_author: '1'
date_created: 2021-08-17T08:14:18Z
date_published: 2021-11-24T00:00:00Z
date_updated: 2026-10-02T11:28:16Z
day: '24'
ddc:
- '530'
department:
- _id: JoFi
- _id: NanoFab
- _id: M-Shop
doi: 10.1103/PRXQuantum.2.040341
ec_funded: 1
external_id:
  arxiv:
  - '2106.05882'
  isi:
  - '000723015100001'
file:
- access_level: open_access
  checksum: 36eb41ea43d8ca22b0efab12419e4eb2
  content_type: application/pdf
  creator: cchlebak
  date_created: 2022-01-18T11:29:33Z
  date_updated: 2022-01-18T11:29:33Z
  file_id: '10641'
  file_name: 2021_PRXQuantum_Peruzzo.pdf
  file_size: 4247422
  relation: main_file
  success: 1
file_date_updated: 2022-01-18T11:29:33Z
fulldoi: https://doi.org/10.1103/PRXQuantum.2.040341
has_accepted_license: '1'
intvolume: '         2'
isi: 1
issue: '4'
keyword:
- quantum physics
- mesoscale and nanoscale physics
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '040341'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 2622978C-B435-11E9-9278-68D0E5697425
  name: Hybrid Semiconductor - Superconductor Quantum Devices
- _id: bdb108fd-d553-11ed-ba76-83dc74a9864f
  grant_number: F07105
  name: QUANTUM INFORMATION SYSTEMS BEYOND CLASSICAL CAPABILITIES / P5- Integration
    of Superconducting Quantum Circuits
publication: PRX Quantum
publication_identifier:
  eissn:
  - 2691-3399
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  record:
  - id: '13057'
    relation: research_data
    status: public
  - id: '9920'
    relation: dissertation_contains
    status: public
  - id: '17133'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Geometric superinductance qubits: Controlling phase delocalization across
  a single Josephson junction'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2021'
...
