---
_id: '10762'
abstract:
- lang: eng
  text: Methods inspired from machine learning have recently attracted great interest
    in the computational study of quantum many-particle systems. So far, however,
    it has proven challenging to deal with microscopic models in which the total number
    of particles is not conserved. To address this issue, we propose a new variant
    of neural network states, which we term neural coherent states. Taking the Fröhlich
    impurity model as a case study, we show that neural coherent states can learn
    the ground state of non-additive systems very well. In particular, we observe
    substantial improvement over the standard coherent state estimates in the most
    challenging intermediate coupling regime. Our approach is generic and does not
    assume specific details of the system, suggesting wide applications.
acknowledgement: "We acknowledge fruitful discussions with Giacomo Bighin, Giammarco
  Fabiani, Areg Ghazaryan, Christoph\r\nLampert, and Artem Volosniev at various stages
  of this work. W.R. is a recipient of a DOC Fellowship of the\r\nAustrian Academy
  of Sciences and has received funding from the EU Horizon 2020 programme under the
  Marie\r\nSkłodowska-Curie Grant Agreement No. 665385. M. L. acknowledges support
  by the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). This
  work is part of the Shell-NWO/FOM-initiative “Computational sciences for energy
  research” of Shell and Chemical Sciences, Earth and Life Sciences, Physical Sciences,
  FOM and STW."
article_processing_charge: No
arxiv: 1
author:
- first_name: Wojciech
  full_name: Rzadkowski, Wojciech
  id: 48C55298-F248-11E8-B48F-1D18A9856A87
  last_name: Rzadkowski
  orcid: 0000-0002-1106-4419
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Johan H.
  full_name: Mentink, Johan H.
  last_name: Mentink
citation:
  ama: Rzadkowski W, Lemeshko M, Mentink JH. Artificial neural network states for
    non-additive systems. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2105.15193">10.48550/arXiv.2105.15193</a>
  apa: Rzadkowski, W., Lemeshko, M., &#38; Mentink, J. H. (n.d.). Artificial neural
    network states for non-additive systems. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2105.15193">https://doi.org/10.48550/arXiv.2105.15193</a>
  chicago: Rzadkowski, Wojciech, Mikhail Lemeshko, and Johan H. Mentink. “Artificial
    Neural Network States for Non-Additive Systems.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2105.15193">https://doi.org/10.48550/arXiv.2105.15193</a>.
  ieee: W. Rzadkowski, M. Lemeshko, and J. H. Mentink, “Artificial neural network
    states for non-additive systems,” <i>arXiv</i>. .
  ista: Rzadkowski W, Lemeshko M, Mentink JH. Artificial neural network states for
    non-additive systems. arXiv, <a href="https://doi.org/10.48550/arXiv.2105.15193">10.48550/arXiv.2105.15193</a>.
  mla: Rzadkowski, Wojciech, et al. “Artificial Neural Network States for Non-Additive
    Systems.” <i>ArXiv</i>, doi:<a href="https://doi.org/10.48550/arXiv.2105.15193">10.48550/arXiv.2105.15193</a>.
  short: W. Rzadkowski, M. Lemeshko, J.H. Mentink, ArXiv (n.d.).
corr_author: '1'
date_created: 2022-02-17T11:18:57Z
date_published: 2021-05-31T00:00:00Z
date_updated: 2026-04-07T14:20:12Z
day: '31'
department:
- _id: MiLe
doi: 10.48550/arXiv.2105.15193
ec_funded: 1
external_id:
  arxiv:
  - '2105.15193'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2105.15193
month: '05'
oa: 1
oa_version: Preprint
page: '2105.15193'
project:
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '801770'
  name: 'Angulon: physics and applications of a new quasiparticle'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '10759'
    relation: dissertation_contains
    status: public
status: public
title: Artificial neural network states for non-additive systems
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '10803'
abstract:
- lang: eng
  text: Given the abundance of applications of ranking in recent years, addressing
    fairness concerns around automated ranking systems becomes necessary for increasing
    the trust among end-users. Previous work on fair ranking has mostly focused on
    application-specific fairness notions, often tailored to online advertising, and
    it rarely considers learning as part of the process. In this work, we show how
    to transfer numerous fairness notions from binary classification to a learning
    to rank setting. Our formalism allows us to design methods for incorporating fairness
    objectives with provable generalization guarantees. An extensive experimental
    evaluation shows that our method can improve ranking fairness substantially with
    no or only little loss of model quality.
article_number: '2102.05996'
article_processing_charge: No
arxiv: 1
author:
- first_name: Nikola H
  full_name: Konstantinov, Nikola H
  id: 4B9D76E4-F248-11E8-B48F-1D18A9856A87
  last_name: Konstantinov
  orcid: 0009-0009-5204-7621
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0002-4561-241X
citation:
  ama: Konstantinov NH, Lampert C. Fairness through regularization for learning to
    rank. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2102.05996">10.48550/arXiv.2102.05996</a>
  apa: Konstantinov, N. H., &#38; Lampert, C. (n.d.). Fairness through regularization
    for learning to rank. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2102.05996">https://doi.org/10.48550/arXiv.2102.05996</a>
  chicago: Konstantinov, Nikola H, and Christoph Lampert. “Fairness through Regularization
    for Learning to Rank.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2102.05996">https://doi.org/10.48550/arXiv.2102.05996</a>.
  ieee: N. H. Konstantinov and C. Lampert, “Fairness through regularization for learning
    to rank,” <i>arXiv</i>. .
  ista: Konstantinov NH, Lampert C. Fairness through regularization for learning to
    rank. arXiv, 2102.05996.
  mla: Konstantinov, Nikola H., and Christoph Lampert. “Fairness through Regularization
    for Learning to Rank.” <i>ArXiv</i>, 2102.05996, doi:<a href="https://doi.org/10.48550/arXiv.2102.05996">10.48550/arXiv.2102.05996</a>.
  short: N.H. Konstantinov, C. Lampert, ArXiv (n.d.).
corr_author: '1'
date_created: 2022-02-28T14:13:59Z
date_published: 2021-06-07T00:00:00Z
date_updated: 2026-04-07T14:19:48Z
day: '07'
department:
- _id: ChLa
doi: 10.48550/arXiv.2102.05996
external_id:
  arxiv:
  - '2102.05996'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2102.05996
month: '06'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '10799'
    relation: dissertation_contains
    status: public
status: public
title: Fairness through regularization for learning to rank
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '10806'
abstract:
- lang: eng
  text: Ligands are a fundamental part of nanocrystals. They control and direct nanocrystal
    syntheses and provide colloidal stability. Bound ligands also affect the nanocrystals’
    chemical reactivity and electronic structure. Surface chemistry is thus crucial
    to understand nanocrystal properties and functionality. Here, we investigate the
    synthesis of metal oxide nanocrystals (CeO2-x, ZnO, and NiO) from metal nitrate
    precursors, in the presence of oleylamine ligands. Surprisingly, the nanocrystals
    are capped exclusively with a fatty acid instead of oleylamine. Analysis of the
    reaction mixtures with nuclear magnetic resonance spectroscopy revealed several
    reaction byproducts and intermediates that are common to the decomposition of
    Ce, Zn, Ni, and Zr nitrate precursors. Our evidence supports the oxidation of
    alkylamine and formation of a carboxylic acid, thus unraveling this counterintuitive
    surface chemistry.
acknowledgement: 'This work was financially supported by IST Austria and the Werner
  Siemens Foundation. M.C. has received funding from the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
  No. 665385. The work was also financially supported by University of Basel, SNSF
  NCCR Molecular Systems Engineering (project number: 182895) and SNSF R’equip (project
  number: 189622). J.L. is a Serra Húnter Fellow and is grateful to ICREA Academia
  program and MICINN/FEDER RTI2018-093996-B-C31 and GC 2017 SGR 128 projects.'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Mariano
  full_name: Calcabrini, Mariano
  id: 45D7531A-F248-11E8-B48F-1D18A9856A87
  last_name: Calcabrini
  orcid: 0000-0003-4566-5877
- first_name: Dietger
  full_name: Van den Eynden, Dietger
  last_name: Van den Eynden
- first_name: Sergi
  full_name: Sanchez Ribot, Sergi
  id: ddae5a59-f6e0-11ea-865d-d9dc61e77a2a
  last_name: Sanchez Ribot
- first_name: Rohan
  full_name: Pokratath, Rohan
  last_name: Pokratath
- first_name: Jordi
  full_name: Llorca, Jordi
  last_name: Llorca
- first_name: Jonathan
  full_name: De Roo, Jonathan
  last_name: De Roo
- first_name: Maria
  full_name: Ibáñez, Maria
  id: 43C61214-F248-11E8-B48F-1D18A9856A87
  last_name: Ibáñez
  orcid: 0000-0001-5013-2843
citation:
  ama: 'Calcabrini M, Van den Eynden D, Sanchez Ribot S, et al. Ligand conversion
    in nanocrystal synthesis: The oxidation of alkylamines to fatty acids by nitrate.
    <i>JACS Au</i>. 2021;1(11):1898-1903. doi:<a href="https://doi.org/10.1021/jacsau.1c00349">10.1021/jacsau.1c00349</a>'
  apa: 'Calcabrini, M., Van den Eynden, D., Sanchez Ribot, S., Pokratath, R., Llorca,
    J., De Roo, J., &#38; Ibáñez, M. (2021). Ligand conversion in nanocrystal synthesis:
    The oxidation of alkylamines to fatty acids by nitrate. <i>JACS Au</i>. American
    Chemical Society. <a href="https://doi.org/10.1021/jacsau.1c00349">https://doi.org/10.1021/jacsau.1c00349</a>'
  chicago: 'Calcabrini, Mariano, Dietger Van den Eynden, Sergi Sanchez Ribot, Rohan
    Pokratath, Jordi Llorca, Jonathan De Roo, and Maria Ibáñez. “Ligand Conversion
    in Nanocrystal Synthesis: The Oxidation of Alkylamines to Fatty Acids by Nitrate.”
    <i>JACS Au</i>. American Chemical Society, 2021. <a href="https://doi.org/10.1021/jacsau.1c00349">https://doi.org/10.1021/jacsau.1c00349</a>.'
  ieee: 'M. Calcabrini <i>et al.</i>, “Ligand conversion in nanocrystal synthesis:
    The oxidation of alkylamines to fatty acids by nitrate,” <i>JACS Au</i>, vol.
    1, no. 11. American Chemical Society, pp. 1898–1903, 2021.'
  ista: 'Calcabrini M, Van den Eynden D, Sanchez Ribot S, Pokratath R, Llorca J, De
    Roo J, Ibáñez M. 2021. Ligand conversion in nanocrystal synthesis: The oxidation
    of alkylamines to fatty acids by nitrate. JACS Au. 1(11), 1898–1903.'
  mla: 'Calcabrini, Mariano, et al. “Ligand Conversion in Nanocrystal Synthesis: The
    Oxidation of Alkylamines to Fatty Acids by Nitrate.” <i>JACS Au</i>, vol. 1, no.
    11, American Chemical Society, 2021, pp. 1898–903, doi:<a href="https://doi.org/10.1021/jacsau.1c00349">10.1021/jacsau.1c00349</a>.'
  short: M. Calcabrini, D. Van den Eynden, S. Sanchez Ribot, R. Pokratath, J. Llorca,
    J. De Roo, M. Ibáñez, JACS Au 1 (2021) 1898–1903.
corr_author: '1'
date_created: 2022-03-02T15:24:16Z
date_published: 2021-11-22T00:00:00Z
date_updated: 2026-04-07T13:26:13Z
day: '22'
ddc:
- '540'
department:
- _id: MaIb
doi: 10.1021/jacsau.1c00349
ec_funded: 1
file:
- access_level: open_access
  checksum: 1c66a35369e911312a359111420318a9
  content_type: application/pdf
  creator: cchlebak
  date_created: 2022-03-02T15:33:18Z
  date_updated: 2022-03-02T15:33:18Z
  file_id: '10807'
  file_name: 2021_JACSAu_Calcabrini.pdf
  file_size: 1257973
  relation: main_file
  success: 1
file_date_updated: 2022-03-02T15:33:18Z
has_accepted_license: '1'
intvolume: '         1'
issue: '11'
keyword:
- general medicine
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '11'
oa: 1
oa_version: Published Version
page: 1898-1903
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 9B8F7476-BA93-11EA-9121-9846C619BF3A
  name: 'HighTE: The Werner Siemens Laboratory for the High Throughput Discovery of
    Semiconductors for Waste Heat Recovery'
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: JACS Au
publication_identifier:
  eissn:
  - 2691-3704
  issn:
  - 2691-3704
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
related_material:
  link:
  - relation: earlier_version
    url: https://doi.org/10.26434/chemrxiv-2021-cn2fr
  record:
  - id: '12885'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Ligand conversion in nanocrystal synthesis: The oxidation of alkylamines to
  fatty acids by nitrate'
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: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 1
year: '2021'
...
---
_id: '7685'
abstract:
- lang: eng
  text: We consider a gas of interacting bosons trapped in a box of side length one
    in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s
    prediction for the ground state energy and the low-energy excitation spectrum.
    This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.
article_number: '2060006'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chiara
  full_name: Boccato, Chiara
  id: 342E7E22-F248-11E8-B48F-1D18A9856A87
  last_name: Boccato
citation:
  ama: Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii
    regime. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href="https://doi.org/10.1142/S0129055X20600065">10.1142/S0129055X20600065</a>
  apa: Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii
    regime. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a
    href="https://doi.org/10.1142/S0129055X20600065">https://doi.org/10.1142/S0129055X20600065</a>
  chicago: Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii
    Regime.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing,
    2021. <a href="https://doi.org/10.1142/S0129055X20600065">https://doi.org/10.1142/S0129055X20600065</a>.
  ieee: C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii
    regime,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific
    Publishing, 2021.
  ista: Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii
    regime. Reviews in Mathematical Physics. 33(1), 2060006.
  mla: Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii
    Regime.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060006, World
    Scientific Publishing, 2021, doi:<a href="https://doi.org/10.1142/S0129055X20600065">10.1142/S0129055X20600065</a>.
  short: C. Boccato, Reviews in Mathematical Physics 33 (2021).
date_created: 2020-04-26T22:00:45Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2025-05-14T10:49:57Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/S0129055X20600065
ec_funded: 1
external_id:
  arxiv:
  - '2001.00497'
  isi:
  - '000613313200007'
intvolume: '        33'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2001.00497
month: '01'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Reviews in Mathematical Physics
publication_identifier:
  issn:
  - 0129-055X
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 33
year: '2021'
...
---
_id: '7900'
abstract:
- lang: eng
  text: Hartree–Fock theory has been justified as a mean-field approximation for fermionic
    systems. However, it suffers from some defects in predicting physical properties,
    making necessary a theory of quantum correlations. Recently, bosonization of many-body
    correlations has been rigorously justified as an upper bound on the correlation
    energy at high density with weak interactions. We review the bosonic approximation,
    deriving an effective Hamiltonian. We then show that for systems with Coulomb
    interaction this effective theory predicts collective excitations (plasmons) in
    accordance with the random phase approximation of Bohm and Pines, and with experimental
    observation.
article_number: '2060009'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Niels P
  full_name: Benedikter, Niels P
  id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
  last_name: Benedikter
  orcid: 0000-0002-1071-6091
citation:
  ama: Benedikter NP. Bosonic collective excitations in Fermi gases. <i>Reviews in
    Mathematical Physics</i>. 2021;33(1). doi:<a href="https://doi.org/10.1142/s0129055x20600090">10.1142/s0129055x20600090</a>
  apa: Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. <i>Reviews
    in Mathematical Physics</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/s0129055x20600090">https://doi.org/10.1142/s0129055x20600090</a>
  chicago: Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews
    in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href="https://doi.org/10.1142/s0129055x20600090">https://doi.org/10.1142/s0129055x20600090</a>.
  ieee: N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” <i>Reviews
    in Mathematical Physics</i>, vol. 33, no. 1. World Scientific Publishing, 2021.
  ista: Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews
    in Mathematical Physics. 33(1), 2060009.
  mla: Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews
    in Mathematical Physics</i>, vol. 33, no. 1, 2060009, World Scientific Publishing,
    2021, doi:<a href="https://doi.org/10.1142/s0129055x20600090">10.1142/s0129055x20600090</a>.
  short: N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).
date_created: 2020-05-28T16:47:55Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2025-05-14T10:49:46Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/s0129055x20600090
ec_funded: 1
external_id:
  arxiv:
  - '1910.08190'
  isi:
  - '000613313200010'
intvolume: '        33'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1910.08190
month: '01'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Reviews in Mathematical Physics
publication_identifier:
  eissn:
  - 1793-6659
  issn:
  - 0129-055X
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bosonic collective excitations in Fermi gases
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 33
year: '2021'
...
---
_id: '7901'
abstract:
- lang: eng
  text: We derive rigorously the leading order of the correlation energy of a Fermi
    gas in a scaling regime of high density and weak interaction. The result verifies
    the prediction of the random-phase approximation. Our proof refines the method
    of collective bosonization in three dimensions. We approximately diagonalize an
    effective Hamiltonian describing approximately bosonic collective excitations
    around the Hartree–Fock state, while showing that gapless and non-collective excitations
    have only a negligible effect on the ground state energy.
acknowledgement: We thank Christian Hainzl for helpful discussions and a referee for
  very careful reading of the paper and many helpful suggestions. NB and RS were supported
  by the European Research Council (ERC) under the European Union’s Horizon 2020 research
  and innovation programme (grant agreement No. 694227). Part of the research of NB
  was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and
  Peter Otte for explanations about the Luttinger model. PTN has received funding
  from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under
  Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support
  from the European Research Council (ERC) under the European Union’s Horizon 2020
  research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901).
  BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss
  National Science Foundation through the Grant “Dynamical and energetic properties
  of Bose-Einstein condensates” and from the European Research Council through the
  ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for
  workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz
  Association). NB, PTN, BS, and RS acknowledge support for workshop participation
  from Fondation des Treilles.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Niels P
  full_name: Benedikter, Niels P
  id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
  last_name: Benedikter
  orcid: 0000-0002-1071-6091
- first_name: Phan Thành
  full_name: Nam, Phan Thành
  last_name: Nam
- first_name: Marcello
  full_name: Porta, Marcello
  last_name: Porta
- 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: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy
    of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979.
    doi:<a href="https://doi.org/10.1007/s00222-021-01041-5">10.1007/s00222-021-01041-5</a>
  apa: Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R.
    (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>.
    Springer. <a href="https://doi.org/10.1007/s00222-021-01041-5">https://doi.org/10.1007/s00222-021-01041-5</a>
  chicago: Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein,
    and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.”
    <i>Inventiones Mathematicae</i>. Springer, 2021. <a href="https://doi.org/10.1007/s00222-021-01041-5">https://doi.org/10.1007/s00222-021-01041-5</a>.
  ieee: N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation
    energy of a weakly interacting Fermi gas,” <i>Inventiones Mathematicae</i>, vol.
    225. Springer, pp. 885–979, 2021.
  ista: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation
    energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.
  mla: Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi
    Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979,
    doi:<a href="https://doi.org/10.1007/s00222-021-01041-5">10.1007/s00222-021-01041-5</a>.
  short: N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones
    Mathematicae 225 (2021) 885–979.
date_created: 2020-05-28T16:48:20Z
date_published: 2021-05-03T00:00:00Z
date_updated: 2025-04-14T07:27:00Z
day: '03'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00222-021-01041-5
ec_funded: 1
external_id:
  arxiv:
  - '2005.08933'
  isi:
  - '000646573600001'
file:
- access_level: open_access
  checksum: f38c79dfd828cdc7f49a34b37b83d376
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-16T12:23:40Z
  date_updated: 2022-05-16T12:23:40Z
  file_id: '11386'
  file_name: 2021_InventMath_Benedikter.pdf
  file_size: 1089319
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  success: 1
file_date_updated: 2022-05-16T12:23:40Z
has_accepted_license: '1'
intvolume: '       225'
isi: 1
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 885-979
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Inventiones Mathematicae
publication_identifier:
  eissn:
  - 1432-1297
  issn:
  - 0020-9910
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Correlation energy of a weakly interacting Fermi gas
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 225
year: '2021'
...
---
_id: '7905'
abstract:
- lang: eng
  text: We investigate a sheaf-theoretic interpretation of stratification learning
    from geometric and topological perspectives. Our main result is the construction
    of stratification learning algorithms framed in terms of a sheaf on a partially
    ordered set with the Alexandroff topology. We prove that the resulting decomposition
    is the unique minimal stratification for which the strata are homogeneous and
    the given sheaf is constructible. In particular, when we choose to work with the
    local homology sheaf, our algorithm gives an alternative to the local homology
    transfer algorithm given in Bendich et al. (Proceedings of the 23rd Annual ACM-SIAM
    Symposium on Discrete Algorithms, pp. 1355–1370, ACM, New York, 2012), and the
    cohomology stratification algorithm given in Nanda (Found. Comput. Math. 20(2),
    195–222, 2020). Additionally, we give examples of stratifications based on the
    geometric techniques of Breiding et al. (Rev. Mat. Complut. 31(3), 545–593, 2018),
    illustrating how the sheaf-theoretic approach can be used to study stratifications
    from both topological and geometric perspectives. This approach also points toward
    future applications of sheaf theory in the study of topological data analysis
    by illustrating the utility of the language of sheaf theory in generalizing existing
    algorithms.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). This work was partially supported by NSF IIS-1513616 and NSF ABI-1661375.
  The authors would like to thank the anonymous referees for their insightful comments.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Adam
  full_name: Brown, Adam
  id: 70B7FDF6-608D-11E9-9333-8535E6697425
  last_name: Brown
- first_name: Bei
  full_name: Wang, Bei
  last_name: Wang
citation:
  ama: Brown A, Wang B. Sheaf-theoretic stratification learning from geometric and
    topological perspectives. <i>Discrete and Computational Geometry</i>. 2021;65:1166-1198.
    doi:<a href="https://doi.org/10.1007/s00454-020-00206-y">10.1007/s00454-020-00206-y</a>
  apa: Brown, A., &#38; Wang, B. (2021). Sheaf-theoretic stratification learning from
    geometric and topological perspectives. <i>Discrete and Computational Geometry</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s00454-020-00206-y">https://doi.org/10.1007/s00454-020-00206-y</a>
  chicago: Brown, Adam, and Bei Wang. “Sheaf-Theoretic Stratification Learning from
    Geometric and Topological Perspectives.” <i>Discrete and Computational Geometry</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s00454-020-00206-y">https://doi.org/10.1007/s00454-020-00206-y</a>.
  ieee: A. Brown and B. Wang, “Sheaf-theoretic stratification learning from geometric
    and topological perspectives,” <i>Discrete and Computational Geometry</i>, vol.
    65. Springer Nature, pp. 1166–1198, 2021.
  ista: Brown A, Wang B. 2021. Sheaf-theoretic stratification learning from geometric
    and topological perspectives. Discrete and Computational Geometry. 65, 1166–1198.
  mla: Brown, Adam, and Bei Wang. “Sheaf-Theoretic Stratification Learning from Geometric
    and Topological Perspectives.” <i>Discrete and Computational Geometry</i>, vol.
    65, Springer Nature, 2021, pp. 1166–98, doi:<a href="https://doi.org/10.1007/s00454-020-00206-y">10.1007/s00454-020-00206-y</a>.
  short: A. Brown, B. Wang, Discrete and Computational Geometry 65 (2021) 1166–1198.
corr_author: '1'
date_created: 2020-05-30T10:26:04Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2025-04-15T06:53:15Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/s00454-020-00206-y
external_id:
  arxiv:
  - '1712.07734'
  isi:
  - '000536324700001'
file:
- access_level: open_access
  checksum: 487a84ea5841b75f04f66d7ebd71b67e
  content_type: application/pdf
  creator: dernst
  date_created: 2020-11-25T09:06:41Z
  date_updated: 2020-11-25T09:06:41Z
  file_id: '8803'
  file_name: 2020_DiscreteCompGeometry_Brown.pdf
  file_size: 1013730
  relation: main_file
  success: 1
file_date_updated: 2020-11-25T09:06:41Z
has_accepted_license: '1'
intvolume: '        65'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 1166-1198
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Discrete and Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sheaf-theoretic stratification learning from geometric and topological perspectives
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 65
year: '2021'
...
---
_id: '7925'
abstract:
- lang: eng
  text: In this paper, we introduce a relaxed CQ method with alternated inertial step
    for solving split feasibility problems. We give convergence of the sequence generated
    by our method under some suitable assumptions. Some numerical implementations
    from sparse signal and image deblurring are reported to show the efficiency of
    our method.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). The authors are grateful to the referees for their insightful comments
  which have improved the earlier version of the manuscript greatly. The first author
  has received funding from the European Research Council (ERC) under the European
  Union’s Seventh Framework Program (FP7-2007-2013) (Grant agreement No. 616160).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Aviv
  full_name: Gibali, Aviv
  last_name: Gibali
citation:
  ama: Shehu Y, Gibali A. New inertial relaxed method for solving split feasibilities.
    <i>Optimization Letters</i>. 2021;15:2109-2126. doi:<a href="https://doi.org/10.1007/s11590-020-01603-1">10.1007/s11590-020-01603-1</a>
  apa: Shehu, Y., &#38; Gibali, A. (2021). New inertial relaxed method for solving
    split feasibilities. <i>Optimization Letters</i>. Springer Nature. <a href="https://doi.org/10.1007/s11590-020-01603-1">https://doi.org/10.1007/s11590-020-01603-1</a>
  chicago: Shehu, Yekini, and Aviv Gibali. “New Inertial Relaxed Method for Solving
    Split Feasibilities.” <i>Optimization Letters</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s11590-020-01603-1">https://doi.org/10.1007/s11590-020-01603-1</a>.
  ieee: Y. Shehu and A. Gibali, “New inertial relaxed method for solving split feasibilities,”
    <i>Optimization Letters</i>, vol. 15. Springer Nature, pp. 2109–2126, 2021.
  ista: Shehu Y, Gibali A. 2021. New inertial relaxed method for solving split feasibilities.
    Optimization Letters. 15, 2109–2126.
  mla: Shehu, Yekini, and Aviv Gibali. “New Inertial Relaxed Method for Solving Split
    Feasibilities.” <i>Optimization Letters</i>, vol. 15, Springer Nature, 2021, pp.
    2109–26, doi:<a href="https://doi.org/10.1007/s11590-020-01603-1">10.1007/s11590-020-01603-1</a>.
  short: Y. Shehu, A. Gibali, Optimization Letters 15 (2021) 2109–2126.
corr_author: '1'
date_created: 2020-06-04T11:28:33Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2024-11-04T13:52:35Z
day: '01'
ddc:
- '510'
department:
- _id: VlKo
doi: 10.1007/s11590-020-01603-1
ec_funded: 1
external_id:
  isi:
  - '000537342300001'
file:
- access_level: open_access
  checksum: 63c5f31cd04626152a19f97a2476281b
  content_type: application/pdf
  creator: kschuh
  date_created: 2024-03-07T14:58:51Z
  date_updated: 2024-03-07T14:58:51Z
  file_id: '15089'
  file_name: 2021_OptimizationLetters_Shehu.pdf
  file_size: 2148882
  relation: main_file
  success: 1
file_date_updated: 2024-03-07T14:58:51Z
has_accepted_license: '1'
intvolume: '        15'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 2109-2126
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Optimization Letters
publication_identifier:
  eissn:
  - 1862-4480
  issn:
  - 1862-4472
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: New inertial relaxed method for solving split feasibilities
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2021'
...
---
_id: '7939'
abstract:
- lang: eng
  text: "We design fast deterministic algorithms for distance computation in the Congested
    Clique model. Our key contributions include:\r\n    A (2+ϵ)-approximation for
    all-pairs shortest paths in O(log2n/ϵ) rounds on unweighted undirected graphs.
    With a small additional additive factor, this also applies for weighted graphs.
    This is the first sub-polynomial constant-factor approximation for APSP in this
    model.\r\n    A (1+ϵ)-approximation for multi-source shortest paths from O(n−−√)
    sources in O(log2n/ϵ) rounds on weighted undirected graphs. This is the first
    sub-polynomial algorithm obtaining this approximation for a set of sources of
    polynomial size.\r\n\r\nOur main techniques are new distance tools that are obtained
    via improved algorithms for sparse matrix multiplication, which we leverage to
    construct efficient hopsets and shortest paths. Furthermore, our techniques extend
    to additional distance problems for which we improve upon the state-of-the-art,
    including diameter approximation, and an exact single-source shortest paths algorithm
    for weighted undirected graphs in O~(n1/6) rounds. "
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). We thank Mohsen Ghaffari, Michael Elkin and Merav Parter for fruitful
  discussions. This project has received funding from the European Union’s Horizon
  2020 Research And Innovation Program under Grant Agreement No. 755839.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Keren
  full_name: Censor-Hillel, Keren
  last_name: Censor-Hillel
- first_name: Michal
  full_name: Dory, Michal
  last_name: Dory
- first_name: Janne
  full_name: Korhonen, Janne
  id: C5402D42-15BC-11E9-A202-CA2BE6697425
  last_name: Korhonen
- first_name: Dean
  full_name: Leitersdorf, Dean
  last_name: Leitersdorf
citation:
  ama: Censor-Hillel K, Dory M, Korhonen J, Leitersdorf D. Fast approximate shortest
    paths in the congested clique. <i>Distributed Computing</i>. 2021;34:463-487.
    doi:<a href="https://doi.org/10.1007/s00446-020-00380-5">10.1007/s00446-020-00380-5</a>
  apa: Censor-Hillel, K., Dory, M., Korhonen, J., &#38; Leitersdorf, D. (2021). Fast
    approximate shortest paths in the congested clique. <i>Distributed Computing</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s00446-020-00380-5">https://doi.org/10.1007/s00446-020-00380-5</a>
  chicago: Censor-Hillel, Keren, Michal Dory, Janne Korhonen, and Dean Leitersdorf.
    “Fast Approximate Shortest Paths in the Congested Clique.” <i>Distributed Computing</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s00446-020-00380-5">https://doi.org/10.1007/s00446-020-00380-5</a>.
  ieee: K. Censor-Hillel, M. Dory, J. Korhonen, and D. Leitersdorf, “Fast approximate
    shortest paths in the congested clique,” <i>Distributed Computing</i>, vol. 34.
    Springer Nature, pp. 463–487, 2021.
  ista: Censor-Hillel K, Dory M, Korhonen J, Leitersdorf D. 2021. Fast approximate
    shortest paths in the congested clique. Distributed Computing. 34, 463–487.
  mla: Censor-Hillel, Keren, et al. “Fast Approximate Shortest Paths in the Congested
    Clique.” <i>Distributed Computing</i>, vol. 34, Springer Nature, 2021, pp. 463–87,
    doi:<a href="https://doi.org/10.1007/s00446-020-00380-5">10.1007/s00446-020-00380-5</a>.
  short: K. Censor-Hillel, M. Dory, J. Korhonen, D. Leitersdorf, Distributed Computing
    34 (2021) 463–487.
corr_author: '1'
date_created: 2020-06-07T22:00:54Z
date_published: 2021-12-01T00:00:00Z
date_updated: 2026-06-18T19:28:41Z
day: '01'
ddc:
- '000'
department:
- _id: DaAl
doi: 10.1007/s00446-020-00380-5
external_id:
  arxiv:
  - '1903.05956'
  isi:
  - '000556444600001'
intvolume: '        34'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s00446-020-00380-5
month: '12'
oa: 1
oa_version: Published Version
page: 463-487
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Distributed Computing
publication_identifier:
  eissn:
  - 1432-0452
  issn:
  - 0178-2770
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '6933'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Fast approximate shortest paths in the congested clique
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2021'
...
---
_id: '7941'
abstract:
- lang: eng
  text: Expansion microscopy is a recently developed super-resolution imaging technique,
    which provides an alternative to optics-based methods such as deterministic approaches
    (e.g. STED) or stochastic approaches (e.g. PALM/STORM). The idea behind expansion
    microscopy is to embed the biological sample in a swellable gel, and then to expand
    it isotropically, thereby increasing the distance between the fluorophores. This
    approach breaks the diffraction barrier by simply separating the emission point-spread-functions
    of the fluorophores. The resolution attainable in expansion microscopy is thus
    directly dependent on the separation that can be achieved, i.e. on the expansion
    factor. The original implementation of the technique achieved an expansion factor
    of fourfold, for a resolution of 70–80 nm. The subsequently developed X10 method
    achieves an expansion factor of 10-fold, for a resolution of 25–30 nm. This technique
    can be implemented with minimal technical requirements on any standard fluorescence
    microscope, and is more easily applied for multi-color imaging than either deterministic
    or stochastic super-resolution approaches. This renders X10 expansion microscopy
    a highly promising tool for new biological discoveries, as discussed here, and
    as demonstrated by several recent applications.
article_processing_charge: No
author:
- first_name: Sven M
  full_name: Truckenbrodt, Sven M
  id: 45812BD4-F248-11E8-B48F-1D18A9856A87
  last_name: Truckenbrodt
- first_name: Silvio O.
  full_name: Rizzoli, Silvio O.
  last_name: Rizzoli
citation:
  ama: 'Truckenbrodt SM, Rizzoli SO. Simple multi-color super-resolution by X10 microscopy.
    In: <i>Methods in Cell Biology</i>. Vol 161. Elsevier; 2021:33-56. doi:<a href="https://doi.org/10.1016/bs.mcb.2020.04.016">10.1016/bs.mcb.2020.04.016</a>'
  apa: Truckenbrodt, S. M., &#38; Rizzoli, S. O. (2021). Simple multi-color super-resolution
    by X10 microscopy. In <i>Methods in Cell Biology</i> (Vol. 161, pp. 33–56). Elsevier.
    <a href="https://doi.org/10.1016/bs.mcb.2020.04.016">https://doi.org/10.1016/bs.mcb.2020.04.016</a>
  chicago: Truckenbrodt, Sven M, and Silvio O. Rizzoli. “Simple Multi-Color Super-Resolution
    by X10 Microscopy.” In <i>Methods in Cell Biology</i>, 161:33–56. Elsevier, 2021.
    <a href="https://doi.org/10.1016/bs.mcb.2020.04.016">https://doi.org/10.1016/bs.mcb.2020.04.016</a>.
  ieee: S. M. Truckenbrodt and S. O. Rizzoli, “Simple multi-color super-resolution
    by X10 microscopy,” in <i>Methods in Cell Biology</i>, vol. 161, Elsevier, 2021,
    pp. 33–56.
  ista: 'Truckenbrodt SM, Rizzoli SO. 2021.Simple multi-color super-resolution by
    X10 microscopy. In: Methods in Cell Biology. vol. 161, 33–56.'
  mla: Truckenbrodt, Sven M., and Silvio O. Rizzoli. “Simple Multi-Color Super-Resolution
    by X10 Microscopy.” <i>Methods in Cell Biology</i>, vol. 161, Elsevier, 2021,
    pp. 33–56, doi:<a href="https://doi.org/10.1016/bs.mcb.2020.04.016">10.1016/bs.mcb.2020.04.016</a>.
  short: S.M. Truckenbrodt, S.O. Rizzoli, in:, Methods in Cell Biology, Elsevier,
    2021, pp. 33–56.
corr_author: '1'
date_created: 2020-06-07T22:00:55Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2024-10-09T20:59:36Z
day: '01'
department:
- _id: JoDa
doi: 10.1016/bs.mcb.2020.04.016
external_id:
  pmid:
  - '33478696'
intvolume: '       161'
language:
- iso: eng
month: '01'
oa_version: None
page: 33-56
pmid: 1
publication: Methods in Cell Biology
publication_identifier:
  isbn:
  - 978012820807-6
  issn:
  - 0091-679X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Simple multi-color super-resolution by X10 microscopy
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 161
year: '2021'
...
---
_id: '8196'
abstract:
- lang: eng
  text: This paper aims to obtain a strong convergence result for a Douglas–Rachford
    splitting method with inertial extrapolation step for finding a zero of the sum
    of two set-valued maximal monotone operators without any further assumption of
    uniform monotonicity on any of the involved maximal monotone operators. Furthermore,
    our proposed method is easy to implement and the inertial factor in our proposed
    method is a natural choice. Our method of proof is of independent interest. Finally,
    some numerical implementations are given to confirm the theoretical analysis.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). The project of Yekini Shehu has received funding from the European
  Research Council (ERC) under the European Union’s Seventh Framework Program (FP7—2007–2013)
  (Grant Agreement No. 616160). The authors are grateful to the anonymous referees
  and the handling Editor for their comments and suggestions which have improved the
  earlier version of the manuscript greatly.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Qiao-Li
  full_name: Dong, Qiao-Li
  last_name: Dong
- first_name: Lu-Lu
  full_name: Liu, Lu-Lu
  last_name: Liu
- first_name: Jen-Chih
  full_name: Yao, Jen-Chih
  last_name: Yao
citation:
  ama: Shehu Y, Dong Q-L, Liu L-L, Yao J-C. New strong convergence method for the
    sum of two maximal monotone operators. <i>Optimization and Engineering</i>. 2021;22:2627-2653.
    doi:<a href="https://doi.org/10.1007/s11081-020-09544-5">10.1007/s11081-020-09544-5</a>
  apa: Shehu, Y., Dong, Q.-L., Liu, L.-L., &#38; Yao, J.-C. (2021). New strong convergence
    method for the sum of two maximal monotone operators. <i>Optimization and Engineering</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s11081-020-09544-5">https://doi.org/10.1007/s11081-020-09544-5</a>
  chicago: Shehu, Yekini, Qiao-Li Dong, Lu-Lu Liu, and Jen-Chih Yao. “New Strong Convergence
    Method for the Sum of Two Maximal Monotone Operators.” <i>Optimization and Engineering</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s11081-020-09544-5">https://doi.org/10.1007/s11081-020-09544-5</a>.
  ieee: Y. Shehu, Q.-L. Dong, L.-L. Liu, and J.-C. Yao, “New strong convergence method
    for the sum of two maximal monotone operators,” <i>Optimization and Engineering</i>,
    vol. 22. Springer Nature, pp. 2627–2653, 2021.
  ista: Shehu Y, Dong Q-L, Liu L-L, Yao J-C. 2021. New strong convergence method for
    the sum of two maximal monotone operators. Optimization and Engineering. 22, 2627–2653.
  mla: Shehu, Yekini, et al. “New Strong Convergence Method for the Sum of Two Maximal
    Monotone Operators.” <i>Optimization and Engineering</i>, vol. 22, Springer Nature,
    2021, pp. 2627–53, doi:<a href="https://doi.org/10.1007/s11081-020-09544-5">10.1007/s11081-020-09544-5</a>.
  short: Y. Shehu, Q.-L. Dong, L.-L. Liu, J.-C. Yao, Optimization and Engineering
    22 (2021) 2627–2653.
corr_author: '1'
date_created: 2020-08-03T14:29:57Z
date_published: 2021-02-25T00:00:00Z
date_updated: 2024-11-04T13:52:38Z
day: '25'
ddc:
- '510'
department:
- _id: VlKo
doi: 10.1007/s11081-020-09544-5
ec_funded: 1
external_id:
  isi:
  - '000559345400001'
file:
- access_level: open_access
  content_type: application/pdf
  creator: dernst
  date_created: 2020-08-03T15:24:39Z
  date_updated: 2020-08-03T15:24:39Z
  file_id: '8197'
  file_name: 2020_OptimizationEngineering_Shehu.pdf
  file_size: 2137860
  relation: main_file
  success: 1
file_date_updated: 2020-08-03T15:24:39Z
has_accepted_license: '1'
intvolume: '        22'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 2627-2653
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Optimization and Engineering
publication_identifier:
  eissn:
  - 1573-2924
  issn:
  - 1389-4420
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: New strong convergence method for the sum of two maximal monotone operators
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 22
year: '2021'
...
---
_id: '8198'
abstract:
- lang: eng
  text: We investigate how the critical driving amplitude at the Floquet many-body
    localized (MBL) to ergodic phase transition differs between smooth and nonsmooth
    drives. To this end, we numerically study a disordered spin-1/2 chain which is
    periodically driven by a sine or square-wave drive over a wide range of driving
    frequencies. In both cases the critical driving amplitude increases monotonically
    with the frequency, and at large frequencies it is identical for the two drives.
    However, at low and intermediate frequencies the critical amplitude of the square-wave
    drive depends strongly on the frequency, while that of the sinusoidal drive is
    almost constant over a wide frequency range. By analyzing the density of drive-induced
    resonances we conclude that this difference is due to resonances induced by the
    higher harmonics which are present (absent) in the Fourier spectrum of the square-wave
    (sine) drive. Furthermore, we suggest a numerically efficient method for estimating
    the frequency dependence of the critical driving amplitudes for different drives
    which is based on calculating the density of drive-induced resonances. We conclude
    that delocalization occurs once the density of drive-induced resonances reaches
    a critical value determined only by the static system.
acknowledgement: We thank Y. Bar Lev, T. Biadse, and, particularly, E. Bairey and
  B. Katzir for illuminating discussions and their many insights and help. The authors
  thank N. Lindner for his support throughout this project. We are further grateful
  to M. Serbyn, A. Kamenev, A. Turner, and S. de Nicola for reading the manuscript
  and providing good feedback and suggestions. We acknowledge financial support from
  the Defense Advanced Research Projects Agency through the DRINQS program, Grant
  No. D18AC00025. T.G. was in part supported by an Aly Kaufman Fellowship at the Technion.
  T.G. acknowledges funding from the Institute of Science and Technology (IST) Austria
  and from the European Union’s Horizon 2020 research and innovation program under
  Marie SkłodowskaCurie Grant Agreement No. 754411.under the Marie Skłodowska-Curie
  Grant Agreement No.754411.
article_number: '214204'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Asaf A.
  full_name: Diringer, Asaf A.
  last_name: Diringer
- first_name: Tobias
  full_name: Gulden, Tobias
  id: 1083E038-9F73-11E9-A4B5-532AE6697425
  last_name: Gulden
  orcid: 0000-0001-6814-7541
citation:
  ama: Diringer AA, Gulden T. Impact of drive harmonics on the stability of Floquet
    many-body localization. <i>Physical Review B</i>. 2021;103(21). doi:<a href="https://doi.org/10.1103/PhysRevB.103.214204">10.1103/PhysRevB.103.214204</a>
  apa: Diringer, A. A., &#38; Gulden, T. (2021). Impact of drive harmonics on the
    stability of Floquet many-body localization. <i>Physical Review B</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PhysRevB.103.214204">https://doi.org/10.1103/PhysRevB.103.214204</a>
  chicago: Diringer, Asaf A., and Tobias Gulden. “Impact of Drive Harmonics on the
    Stability of Floquet Many-Body Localization.” <i>Physical Review B</i>. American
    Physical Society, 2021. <a href="https://doi.org/10.1103/PhysRevB.103.214204">https://doi.org/10.1103/PhysRevB.103.214204</a>.
  ieee: A. A. Diringer and T. Gulden, “Impact of drive harmonics on the stability
    of Floquet many-body localization,” <i>Physical Review B</i>, vol. 103, no. 21.
    American Physical Society, 2021.
  ista: Diringer AA, Gulden T. 2021. Impact of drive harmonics on the stability of
    Floquet many-body localization. Physical Review B. 103(21), 214204.
  mla: Diringer, Asaf A., and Tobias Gulden. “Impact of Drive Harmonics on the Stability
    of Floquet Many-Body Localization.” <i>Physical Review B</i>, vol. 103, no. 21,
    214204, American Physical Society, 2021, doi:<a href="https://doi.org/10.1103/PhysRevB.103.214204">10.1103/PhysRevB.103.214204</a>.
  short: A.A. Diringer, T. Gulden, Physical Review B 103 (2021).
date_created: 2020-08-04T13:03:40Z
date_published: 2021-06-21T00:00:00Z
date_updated: 2026-04-02T14:02:07Z
day: '21'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.103.214204
ec_funded: 1
external_id:
  arxiv:
  - '2007.14879'
  isi:
  - '000664429700005'
intvolume: '       103'
isi: 1
issue: '21'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2007.14879
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Physical Review B
publication_identifier:
  eissn:
  - 2469-9969
  issn:
  - 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Impact of drive harmonics on the stability of Floquet many-body localization
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 103
year: '2021'
...
---
_id: '8248'
abstract:
- lang: eng
  text: 'We consider the following setting: suppose that we are given a manifold M
    in Rd with positive reach. Moreover assume that we have an embedded simplical
    complex A without boundary, whose vertex set lies on the manifold, is sufficiently
    dense and such that all simplices in A have sufficient quality. We prove that
    if, locally, interiors of the projection of the simplices onto the tangent space
    do not intersect, then A is a triangulation of the manifold, that is, they are
    homeomorphic.'
acknowledgement: "Open access funding provided by the Institute of Science and Technology
  (IST Austria). Arijit Ghosh is supported by the Ramanujan Fellowship (No. SB/S2/RJN-064/2015),
  India.\r\nThis work has been funded by the European Research Council under the European
  Union’s ERC Grant Agreement number 339025 GUDHI (Algorithmic Foundations of Geometric
  Understanding in Higher Dimensions). The third author is supported by Ramanujan
  Fellowship (No. SB/S2/RJN-064/2015), India. The fifth author also received funding
  from the European Union’s Horizon 2020 research and innovation programme under the
  Marie Skłodowska-Curie Grant Agreement No. 754411."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Jean-Daniel
  full_name: Boissonnat, Jean-Daniel
  last_name: Boissonnat
- first_name: Ramsay
  full_name: Dyer, Ramsay
  last_name: Dyer
- first_name: Arijit
  full_name: Ghosh, Arijit
  last_name: Ghosh
- first_name: Andre
  full_name: Lieutier, Andre
  last_name: Lieutier
- first_name: Mathijs
  full_name: Wintraecken, Mathijs
  id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
  last_name: Wintraecken
  orcid: 0000-0002-7472-2220
citation:
  ama: Boissonnat J-D, Dyer R, Ghosh A, Lieutier A, Wintraecken M. Local conditions
    for triangulating submanifolds of Euclidean space. <i>Discrete and Computational
    Geometry</i>. 2021;66:666-686. doi:<a href="https://doi.org/10.1007/s00454-020-00233-9">10.1007/s00454-020-00233-9</a>
  apa: Boissonnat, J.-D., Dyer, R., Ghosh, A., Lieutier, A., &#38; Wintraecken, M.
    (2021). Local conditions for triangulating submanifolds of Euclidean space. <i>Discrete
    and Computational Geometry</i>. Springer Nature. <a href="https://doi.org/10.1007/s00454-020-00233-9">https://doi.org/10.1007/s00454-020-00233-9</a>
  chicago: Boissonnat, Jean-Daniel, Ramsay Dyer, Arijit Ghosh, Andre Lieutier, and
    Mathijs Wintraecken. “Local Conditions for Triangulating Submanifolds of Euclidean
    Space.” <i>Discrete and Computational Geometry</i>. Springer Nature, 2021. <a
    href="https://doi.org/10.1007/s00454-020-00233-9">https://doi.org/10.1007/s00454-020-00233-9</a>.
  ieee: J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, and M. Wintraecken, “Local
    conditions for triangulating submanifolds of Euclidean space,” <i>Discrete and
    Computational Geometry</i>, vol. 66. Springer Nature, pp. 666–686, 2021.
  ista: Boissonnat J-D, Dyer R, Ghosh A, Lieutier A, Wintraecken M. 2021. Local conditions
    for triangulating submanifolds of Euclidean space. Discrete and Computational
    Geometry. 66, 666–686.
  mla: Boissonnat, Jean-Daniel, et al. “Local Conditions for Triangulating Submanifolds
    of Euclidean Space.” <i>Discrete and Computational Geometry</i>, vol. 66, Springer
    Nature, 2021, pp. 666–86, doi:<a href="https://doi.org/10.1007/s00454-020-00233-9">10.1007/s00454-020-00233-9</a>.
  short: J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, M. Wintraecken, Discrete
    and Computational Geometry 66 (2021) 666–686.
corr_author: '1'
date_created: 2020-08-11T07:11:51Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2025-04-14T07:44:05Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/s00454-020-00233-9
ec_funded: 1
external_id:
  isi:
  - '000558119300001'
has_accepted_license: '1'
intvolume: '        66'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s00454-020-00233-9
month: '09'
oa: 1
oa_version: Published Version
page: 666-686
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Discrete and Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Local conditions for triangulating submanifolds of Euclidean space
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 66
year: '2021'
...
---
_id: '8253'
abstract:
- lang: eng
  text: Brains process information in spiking neural networks. Their intricate connections
    shape the diverse functions these networks perform. In comparison, the functional
    capabilities of models of spiking networks are still rudimentary. This shortcoming
    is mainly due to the lack of insight and practical algorithms to construct the
    necessary connectivity. Any such algorithm typically attempts to build networks
    by iteratively reducing the error compared to a desired output. But assigning
    credit to hidden units in multi-layered spiking networks has remained challenging
    due to the non-differentiable nonlinearity of spikes. To avoid this issue, one
    can employ surrogate gradients to discover the required connectivity in spiking
    network models. However, the choice of a surrogate is not unique, raising the
    question of how its implementation influences the effectiveness of the method.
    Here, we use numerical simulations to systematically study how essential design
    parameters of surrogate gradients impact learning performance on a range of classification
    problems. We show that surrogate gradient learning is robust to different shapes
    of underlying surrogate derivatives, but the choice of the derivative’s scale
    can substantially affect learning performance. When we combine surrogate gradients
    with a suitable activity regularization technique, robust information processing
    can be achieved in spiking networks even at the sparse activity limit. Our study
    provides a systematic account of the remarkable robustness of surrogate gradient
    learning and serves as a practical guide to model functional spiking neural networks.
acknowledgement: F.Z. was supported by the Wellcome Trust (110124/Z/15/Z) and the
  Novartis Research Foundation. T.P.V. was supported by a Wellcome Trust Sir Henry
  Dale Research fellowship (WT100000), a Wellcome Trust Senior Research Fellowship
  (214316/Z/18/Z), and an ERC Consolidator Grant SYNAPSEEK.
article_processing_charge: No
article_type: original
author:
- first_name: Friedemann
  full_name: Zenke, Friedemann
  last_name: Zenke
  orcid: 0000-0003-1883-644X
- first_name: Tim P
  full_name: Vogels, Tim P
  id: CB6FF8D2-008F-11EA-8E08-2637E6697425
  last_name: Vogels
  orcid: 0000-0003-3295-6181
citation:
  ama: Zenke F, Vogels TP. The remarkable robustness of surrogate gradient learning
    for instilling complex function in spiking neural networks. <i>Neural Computation</i>.
    2021;33(4):899-925. doi:<a href="https://doi.org/10.1162/neco_a_01367">10.1162/neco_a_01367</a>
  apa: Zenke, F., &#38; Vogels, T. P. (2021). The remarkable robustness of surrogate
    gradient learning for instilling complex function in spiking neural networks.
    <i>Neural Computation</i>. MIT Press. <a href="https://doi.org/10.1162/neco_a_01367">https://doi.org/10.1162/neco_a_01367</a>
  chicago: Zenke, Friedemann, and Tim P Vogels. “The Remarkable Robustness of Surrogate
    Gradient Learning for Instilling Complex Function in Spiking Neural Networks.”
    <i>Neural Computation</i>. MIT Press, 2021. <a href="https://doi.org/10.1162/neco_a_01367">https://doi.org/10.1162/neco_a_01367</a>.
  ieee: F. Zenke and T. P. Vogels, “The remarkable robustness of surrogate gradient
    learning for instilling complex function in spiking neural networks,” <i>Neural
    Computation</i>, vol. 33, no. 4. MIT Press, pp. 899–925, 2021.
  ista: Zenke F, Vogels TP. 2021. The remarkable robustness of surrogate gradient
    learning for instilling complex function in spiking neural networks. Neural Computation.
    33(4), 899–925.
  mla: Zenke, Friedemann, and Tim P. Vogels. “The Remarkable Robustness of Surrogate
    Gradient Learning for Instilling Complex Function in Spiking Neural Networks.”
    <i>Neural Computation</i>, vol. 33, no. 4, MIT Press, 2021, pp. 899–925, doi:<a
    href="https://doi.org/10.1162/neco_a_01367">10.1162/neco_a_01367</a>.
  short: F. Zenke, T.P. Vogels, Neural Computation 33 (2021) 899–925.
corr_author: '1'
date_created: 2020-08-12T12:08:24Z
date_published: 2021-03-01T00:00:00Z
date_updated: 2025-04-14T09:44:14Z
day: '01'
ddc:
- '000'
- '570'
department:
- _id: TiVo
doi: 10.1162/neco_a_01367
ec_funded: 1
external_id:
  isi:
  - '000663433900003'
  pmid:
  - '33513328'
file:
- access_level: open_access
  checksum: eac5a51c24c8989ae7cf9ae32ec3bc95
  content_type: application/pdf
  creator: dernst
  date_created: 2022-04-08T06:05:39Z
  date_updated: 2022-04-08T06:05:39Z
  file_id: '11131'
  file_name: 2021_NeuralComputation_Zenke.pdf
  file_size: 1611614
  relation: main_file
  success: 1
file_date_updated: 2022-04-08T06:05:39Z
has_accepted_license: '1'
intvolume: '        33'
isi: 1
issue: '4'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 899-925
pmid: 1
project:
- _id: 0aacfa84-070f-11eb-9043-d7eb2c709234
  call_identifier: H2020
  grant_number: '819603'
  name: Learning the shape of synaptic plasticity rules for neuronal architectures
    and function through machine learning.
- _id: c084a126-5a5b-11eb-8a69-d75314a70a87
  grant_number: 214316/Z/18/Z
  name: "Whatâ\x80\x99s in a memory? Spatiotemporal dynamics in strongly coupled recurrent
    neuronal networks."
publication: Neural Computation
publication_identifier:
  eissn:
  - 1530-888X
  issn:
  - 0899-7667
publication_status: published
publisher: MIT Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: The remarkable robustness of surrogate gradient learning for instilling complex
  function in spiking neural networks
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 33
year: '2021'
...
---
_id: '8338'
abstract:
- lang: eng
  text: Canonical parametrisations of classical confocal coordinate systems are introduced
    and exploited to construct non-planar analogues of incircular (IC) nets on individual
    quadrics and systems of confocal quadrics. Intimate connections with classical
    deformations of quadrics that are isometric along asymptotic lines and circular
    cross-sections of quadrics are revealed. The existence of octahedral webs of surfaces
    of Blaschke type generated by asymptotic and characteristic lines that are diagonally
    related to lines of curvature is proved theoretically and established constructively.
    Appropriate samplings (grids) of these webs lead to three-dimensional extensions
    of non-planar IC nets. Three-dimensional octahedral grids composed of planes and
    spatially extending (checkerboard) IC-nets are shown to arise in connection with
    systems of confocal quadrics in Minkowski space. In this context, the Laguerre
    geometric notion of conical octahedral grids of planes is introduced. The latter
    generalise the octahedral grids derived from systems of confocal quadrics in Minkowski
    space. An explicit construction of conical octahedral grids is presented. The
    results are accompanied by various illustrations which are based on the explicit
    formulae provided by the theory.
acknowledgement: This research was supported by the DFG Collaborative Research Center
  TRR 109 “Discretization in Geometry and Dynamics”. W.K.S. was also supported by
  the Australian Research Council (DP1401000851). A.V.A. was also supported by the
  European Research Council (ERC) under the European Union’s Horizon 2020 research
  and innovation programme (Grant Agreement No. 78818 Alpha).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Arseniy
  full_name: Akopyan, Arseniy
  id: 430D2C90-F248-11E8-B48F-1D18A9856A87
  last_name: Akopyan
  orcid: 0000-0002-2548-617X
- first_name: Alexander I.
  full_name: Bobenko, Alexander I.
  last_name: Bobenko
- first_name: Wolfgang K.
  full_name: Schief, Wolfgang K.
  last_name: Schief
- first_name: Jan
  full_name: Techter, Jan
  last_name: Techter
citation:
  ama: Akopyan A, Bobenko AI, Schief WK, Techter J. On mutually diagonal nets on (confocal)
    quadrics and 3-dimensional webs. <i>Discrete and Computational Geometry</i>. 2021;66:938-976.
    doi:<a href="https://doi.org/10.1007/s00454-020-00240-w">10.1007/s00454-020-00240-w</a>
  apa: Akopyan, A., Bobenko, A. I., Schief, W. K., &#38; Techter, J. (2021). On mutually
    diagonal nets on (confocal) quadrics and 3-dimensional webs. <i>Discrete and Computational
    Geometry</i>. Springer Nature. <a href="https://doi.org/10.1007/s00454-020-00240-w">https://doi.org/10.1007/s00454-020-00240-w</a>
  chicago: Akopyan, Arseniy, Alexander I. Bobenko, Wolfgang K. Schief, and Jan Techter.
    “On Mutually Diagonal Nets on (Confocal) Quadrics and 3-Dimensional Webs.” <i>Discrete
    and Computational Geometry</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s00454-020-00240-w">https://doi.org/10.1007/s00454-020-00240-w</a>.
  ieee: A. Akopyan, A. I. Bobenko, W. K. Schief, and J. Techter, “On mutually diagonal
    nets on (confocal) quadrics and 3-dimensional webs,” <i>Discrete and Computational
    Geometry</i>, vol. 66. Springer Nature, pp. 938–976, 2021.
  ista: Akopyan A, Bobenko AI, Schief WK, Techter J. 2021. On mutually diagonal nets
    on (confocal) quadrics and 3-dimensional webs. Discrete and Computational Geometry.
    66, 938–976.
  mla: Akopyan, Arseniy, et al. “On Mutually Diagonal Nets on (Confocal) Quadrics
    and 3-Dimensional Webs.” <i>Discrete and Computational Geometry</i>, vol. 66,
    Springer Nature, 2021, pp. 938–76, doi:<a href="https://doi.org/10.1007/s00454-020-00240-w">10.1007/s00454-020-00240-w</a>.
  short: A. Akopyan, A.I. Bobenko, W.K. Schief, J. Techter, Discrete and Computational
    Geometry 66 (2021) 938–976.
date_created: 2020-09-06T22:01:13Z
date_published: 2021-10-01T00:00:00Z
date_updated: 2025-04-14T07:48:36Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/s00454-020-00240-w
ec_funded: 1
external_id:
  arxiv:
  - '1908.00856'
  isi:
  - '000564488500002'
intvolume: '        66'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1908.00856
month: '10'
oa: 1
oa_version: Preprint
page: 938-976
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
publication: Discrete and Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 66
year: '2021'
...
---
_id: '8373'
abstract:
- lang: eng
  text: It is well known that special Kubo-Ando operator means admit divergence center
    interpretations, moreover, they are also mean squared error estimators for certain
    metrics on positive definite operators. In this paper we give a divergence center
    interpretation for every symmetric Kubo-Ando mean. This characterization of the
    symmetric means naturally leads to a definition of weighted and multivariate versions
    of a large class of symmetric Kubo-Ando means. We study elementary properties
    of these weighted multivariate means, and note in particular that in the special
    case of the geometric mean we recover the weighted A#H-mean introduced by Kim,
    Lawson, and Lim.
acknowledgement: "The authors are grateful to Milán Mosonyi for fruitful discussions
  on the topic, and to the anonymous referee for his/her comments and suggestions.\r\nJ.
  Pitrik was supported by the Hungarian Academy of Sciences Lendület-Momentum Grant
  for Quantum Information Theory, No. 96 141, and by Hungarian National Research,
  Development and Innovation Office (NKFIH) via grants no. K119442, no. K124152, and
  no. KH129601. D. Virosztek was supported by the ISTFELLOW program of the Institute
  of Science and Technology Austria (project code IC1027FELL01), by the European Union's
  Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant
  Agreement No. 846294, and partially supported by the Hungarian National Research,
  Development and Innovation Office (NKFIH) via grants no. K124152, and no. KH129601."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: József
  full_name: Pitrik, József
  last_name: Pitrik
- first_name: Daniel
  full_name: Virosztek, Daniel
  id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
  last_name: Virosztek
  orcid: 0000-0003-1109-5511
citation:
  ama: Pitrik J, Virosztek D. A divergence center interpretation of general symmetric
    Kubo-Ando means, and related weighted multivariate operator means. <i>Linear Algebra
    and its Applications</i>. 2021;609:203-217. doi:<a href="https://doi.org/10.1016/j.laa.2020.09.007">10.1016/j.laa.2020.09.007</a>
  apa: Pitrik, J., &#38; Virosztek, D. (2021). A divergence center interpretation
    of general symmetric Kubo-Ando means, and related weighted multivariate operator
    means. <i>Linear Algebra and Its Applications</i>. Elsevier. <a href="https://doi.org/10.1016/j.laa.2020.09.007">https://doi.org/10.1016/j.laa.2020.09.007</a>
  chicago: Pitrik, József, and Daniel Virosztek. “A Divergence Center Interpretation
    of General Symmetric Kubo-Ando Means, and Related Weighted Multivariate Operator
    Means.” <i>Linear Algebra and Its Applications</i>. Elsevier, 2021. <a href="https://doi.org/10.1016/j.laa.2020.09.007">https://doi.org/10.1016/j.laa.2020.09.007</a>.
  ieee: J. Pitrik and D. Virosztek, “A divergence center interpretation of general
    symmetric Kubo-Ando means, and related weighted multivariate operator means,”
    <i>Linear Algebra and its Applications</i>, vol. 609. Elsevier, pp. 203–217, 2021.
  ista: Pitrik J, Virosztek D. 2021. A divergence center interpretation of general
    symmetric Kubo-Ando means, and related weighted multivariate operator means. Linear
    Algebra and its Applications. 609, 203–217.
  mla: Pitrik, József, and Daniel Virosztek. “A Divergence Center Interpretation of
    General Symmetric Kubo-Ando Means, and Related Weighted Multivariate Operator
    Means.” <i>Linear Algebra and Its Applications</i>, vol. 609, Elsevier, 2021,
    pp. 203–17, doi:<a href="https://doi.org/10.1016/j.laa.2020.09.007">10.1016/j.laa.2020.09.007</a>.
  short: J. Pitrik, D. Virosztek, Linear Algebra and Its Applications 609 (2021) 203–217.
date_created: 2020-09-11T08:35:50Z
date_published: 2021-01-15T00:00:00Z
date_updated: 2025-04-14T07:50:40Z
day: '15'
department:
- _id: LaEr
doi: 10.1016/j.laa.2020.09.007
ec_funded: 1
external_id:
  arxiv:
  - '2002.11678'
  isi:
  - '000581730500011'
intvolume: '       609'
isi: 1
keyword:
- Kubo-Ando mean
- weighted multivariate mean
- barycenter
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2002.11678
month: '01'
oa: 1
oa_version: Preprint
page: 203-217
project:
- _id: 26A455A6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '846294'
  name: Geometric study of Wasserstein spaces and free probability
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: Linear Algebra and its Applications
publication_identifier:
  issn:
  - 0024-3795
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: A divergence center interpretation of general symmetric Kubo-Ando means, and
  related weighted multivariate operator means
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 609
year: '2021'
...
---
_id: '8429'
abstract:
- lang: eng
  text: We develop a Bayesian model (BayesRR-RC) that provides robust SNP-heritability
    estimation, an alternative to marker discovery, and accurate genomic prediction,
    taking 22 seconds per iteration to estimate 8.4 million SNP-effects and 78 SNP-heritability
    parameters in the UK Biobank. We find that only ≤10% of the genetic variation
    captured for height, body mass index, cardiovascular disease, and type 2 diabetes
    is attributable to proximal regulatory regions within 10kb upstream of genes,
    while 12-25% is attributed to coding regions, 32–44% to introns, and 22-28% to
    distal 10-500kb upstream regions. Up to 24% of all cis and coding regions of each
    chromosome are associated with each trait, with over 3,100 independent exonic
    and intronic regions and over 5,400 independent regulatory regions having ≥95%
    probability of contributing ≥0.001% to the genetic variance of these four traits.
    Our open-source software (GMRM) provides a scalable alternative to current approaches
    for biobank data.
acknowledgement: This project was funded by an SNSF Eccellenza Grant to MRR (PCEGP3-181181),
  and by core funding from the Institute of Science and Technology Austria. We would
  like to thank the participants of the cohort studies, and the Ecole Polytechnique
  Federal Lausanne (EPFL) SCITAS for their excellent compute resources, their generosity
  with their time and the kindness of their support. P.M.V. acknowledges funding from
  the Australian National Health and Medical Research Council (1113400) and the Australian
  Research Council (FL180100072). L.R. acknowledges funding from the Kjell & Märta
  Beijer Foundation (Stockholm, Sweden). We also would like to acknowledge Simone
  Rubinacci, Oliver Delanau, Alexander Terenin, Eleonora Porcu, and Mike Goddard for
  their useful comments and suggestions.
article_number: '6972'
article_processing_charge: No
article_type: original
author:
- first_name: Marion
  full_name: Patxot, Marion
  last_name: Patxot
- first_name: Daniel
  full_name: Trejo Banos, Daniel
  last_name: Trejo Banos
- first_name: Athanasios
  full_name: Kousathanas, Athanasios
  last_name: Kousathanas
- first_name: Etienne J
  full_name: Orliac, Etienne J
  last_name: Orliac
- first_name: Sven E
  full_name: Ojavee, Sven E
  last_name: Ojavee
- first_name: Gerhard
  full_name: Moser, Gerhard
  last_name: Moser
- first_name: Julia
  full_name: Sidorenko, Julia
  last_name: Sidorenko
- first_name: Zoltan
  full_name: Kutalik, Zoltan
  last_name: Kutalik
- first_name: Reedik
  full_name: Magi, Reedik
  last_name: Magi
- first_name: Peter M
  full_name: Visscher, Peter M
  last_name: Visscher
- first_name: Lars
  full_name: Ronnegard, Lars
  last_name: Ronnegard
- first_name: Matthew Richard
  full_name: Robinson, Matthew Richard
  id: E5D42276-F5DA-11E9-8E24-6303E6697425
  last_name: Robinson
  orcid: 0000-0001-8982-8813
citation:
  ama: Patxot M, Trejo Banos D, Kousathanas A, et al. Probabilistic inference of the
    genetic architecture underlying functional enrichment of complex traits. <i>Nature
    Communications</i>. 2021;12(1). doi:<a href="https://doi.org/10.1038/s41467-021-27258-9">10.1038/s41467-021-27258-9</a>
  apa: Patxot, M., Trejo Banos, D., Kousathanas, A., Orliac, E. J., Ojavee, S. E.,
    Moser, G., … Robinson, M. R. (2021). Probabilistic inference of the genetic architecture
    underlying functional enrichment of complex traits. <i>Nature Communications</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s41467-021-27258-9">https://doi.org/10.1038/s41467-021-27258-9</a>
  chicago: Patxot, Marion, Daniel Trejo Banos, Athanasios Kousathanas, Etienne J Orliac,
    Sven E Ojavee, Gerhard Moser, Julia Sidorenko, et al. “Probabilistic Inference
    of the Genetic Architecture Underlying Functional Enrichment of Complex Traits.”
    <i>Nature Communications</i>. Springer Nature, 2021. <a href="https://doi.org/10.1038/s41467-021-27258-9">https://doi.org/10.1038/s41467-021-27258-9</a>.
  ieee: M. Patxot <i>et al.</i>, “Probabilistic inference of the genetic architecture
    underlying functional enrichment of complex traits,” <i>Nature Communications</i>,
    vol. 12, no. 1. Springer Nature, 2021.
  ista: Patxot M, Trejo Banos D, Kousathanas A, Orliac EJ, Ojavee SE, Moser G, Sidorenko
    J, Kutalik Z, Magi R, Visscher PM, Ronnegard L, Robinson MR. 2021. Probabilistic
    inference of the genetic architecture underlying functional enrichment of complex
    traits. Nature Communications. 12(1), 6972.
  mla: Patxot, Marion, et al. “Probabilistic Inference of the Genetic Architecture
    Underlying Functional Enrichment of Complex Traits.” <i>Nature Communications</i>,
    vol. 12, no. 1, 6972, Springer Nature, 2021, doi:<a href="https://doi.org/10.1038/s41467-021-27258-9">10.1038/s41467-021-27258-9</a>.
  short: M. Patxot, D. Trejo Banos, A. Kousathanas, E.J. Orliac, S.E. Ojavee, G. Moser,
    J. Sidorenko, Z. Kutalik, R. Magi, P.M. Visscher, L. Ronnegard, M.R. Robinson,
    Nature Communications 12 (2021).
date_created: 2020-09-17T10:52:38Z
date_published: 2021-11-30T00:00:00Z
date_updated: 2025-06-12T06:54:52Z
day: '30'
ddc:
- '610'
department:
- _id: MaRo
doi: 10.1038/s41467-021-27258-9
external_id:
  isi:
  - '000724450600023'
  pmid:
  - '34848700'
file:
- access_level: open_access
  checksum: 384681be17aff902c149a48f52d13d4f
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-12-06T07:47:11Z
  date_updated: 2021-12-06T07:47:11Z
  file_id: '10419'
  file_name: 2021_NatComm_Paxtot.pdf
  file_size: 6519771
  relation: main_file
  success: 1
file_date_updated: 2021-12-06T07:47:11Z
has_accepted_license: '1'
intvolume: '        12'
isi: 1
issue: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
pmid: 1
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '13063'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Probabilistic inference of the genetic architecture underlying functional enrichment
  of complex traits
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: 12
year: '2021'
...
---
_id: '8430'
abstract:
- lang: eng
  text: While recent advancements in computation and modelling have improved the analysis
    of complex traits, our understanding of the genetic basis of the time at symptom
    onset remains limited. Here, we develop a Bayesian approach (BayesW) that provides
    probabilistic inference of the genetic architecture of age-at-onset phenotypes
    in a sampling scheme that facilitates biobank-scale time-to-event analyses. We
    show in extensive simulation work the benefits BayesW provides in terms of number
    of discoveries, model performance and genomic prediction. In the UK Biobank, we
    find many thousands of common genomic regions underlying the age-at-onset of high
    blood pressure (HBP), cardiac disease (CAD), and type-2 diabetes (T2D), and for
    the genetic basis of onset reflecting the underlying genetic liability to disease.
    Age-at-menopause and age-at-menarche are also highly polygenic, but with higher
    variance contributed by low frequency variants. Genomic prediction into the Estonian
    Biobank data shows that BayesW gives higher prediction accuracy than other approaches.
acknowledgement: This project was funded by an SNSF Eccellenza Grant to MRR (PCEGP3-181181),
  and by core funding from the Institute of Science and Technology Austria and the
  University of Lausanne; the work of KF was supported by the grant PUT1665 by the
  Estonian Research Council. We would like to thank Mike Goddard for comments which
  greatly improved the work, the participants of the cohort studies, and the Ecole
  Polytechnique Federal Lausanne (EPFL) SCITAS for their excellent compute resources,
  their generosity with their time and the kindness of their support.
article_number: '2337'
article_processing_charge: No
author:
- first_name: Sven E
  full_name: Ojavee, Sven E
  last_name: Ojavee
- first_name: Athanasios
  full_name: Kousathanas, Athanasios
  last_name: Kousathanas
- first_name: Daniel
  full_name: Trejo Banos, Daniel
  last_name: Trejo Banos
- first_name: Etienne J
  full_name: Orliac, Etienne J
  last_name: Orliac
- first_name: Marion
  full_name: Patxot, Marion
  last_name: Patxot
- first_name: Kristi
  full_name: Lall, Kristi
  last_name: Lall
- first_name: Reedik
  full_name: Magi, Reedik
  last_name: Magi
- first_name: Krista
  full_name: Fischer, Krista
  last_name: Fischer
- first_name: Zoltan
  full_name: Kutalik, Zoltan
  last_name: Kutalik
- first_name: Matthew Richard
  full_name: Robinson, Matthew Richard
  id: E5D42276-F5DA-11E9-8E24-6303E6697425
  last_name: Robinson
  orcid: 0000-0001-8982-8813
citation:
  ama: Ojavee SE, Kousathanas A, Trejo Banos D, et al. Genomic architecture and prediction
    of censored time-to-event phenotypes with a Bayesian genome-wide analysis. <i>Nature
    Communications</i>. 2021;12(1). doi:<a href="https://doi.org/10.1038/s41467-021-22538-w">10.1038/s41467-021-22538-w</a>
  apa: Ojavee, S. E., Kousathanas, A., Trejo Banos, D., Orliac, E. J., Patxot, M.,
    Lall, K., … Robinson, M. R. (2021). Genomic architecture and prediction of censored
    time-to-event phenotypes with a Bayesian genome-wide analysis. <i>Nature Communications</i>.
    Nature Research. <a href="https://doi.org/10.1038/s41467-021-22538-w">https://doi.org/10.1038/s41467-021-22538-w</a>
  chicago: Ojavee, Sven E, Athanasios Kousathanas, Daniel Trejo Banos, Etienne J Orliac,
    Marion Patxot, Kristi Lall, Reedik Magi, Krista Fischer, Zoltan Kutalik, and Matthew
    Richard Robinson. “Genomic Architecture and Prediction of Censored Time-to-Event
    Phenotypes with a Bayesian Genome-Wide Analysis.” <i>Nature Communications</i>.
    Nature Research, 2021. <a href="https://doi.org/10.1038/s41467-021-22538-w">https://doi.org/10.1038/s41467-021-22538-w</a>.
  ieee: S. E. Ojavee <i>et al.</i>, “Genomic architecture and prediction of censored
    time-to-event phenotypes with a Bayesian genome-wide analysis,” <i>Nature Communications</i>,
    vol. 12, no. 1. Nature Research, 2021.
  ista: Ojavee SE, Kousathanas A, Trejo Banos D, Orliac EJ, Patxot M, Lall K, Magi
    R, Fischer K, Kutalik Z, Robinson MR. 2021. Genomic architecture and prediction
    of censored time-to-event phenotypes with a Bayesian genome-wide analysis. Nature
    Communications. 12(1), 2337.
  mla: Ojavee, Sven E., et al. “Genomic Architecture and Prediction of Censored Time-to-Event
    Phenotypes with a Bayesian Genome-Wide Analysis.” <i>Nature Communications</i>,
    vol. 12, no. 1, 2337, Nature Research, 2021, doi:<a href="https://doi.org/10.1038/s41467-021-22538-w">10.1038/s41467-021-22538-w</a>.
  short: S.E. Ojavee, A. Kousathanas, D. Trejo Banos, E.J. Orliac, M. Patxot, K. Lall,
    R. Magi, K. Fischer, Z. Kutalik, M.R. Robinson, Nature Communications 12 (2021).
date_created: 2020-09-17T10:53:00Z
date_published: 2021-04-20T00:00:00Z
date_updated: 2026-04-03T09:31:17Z
day: '20'
ddc:
- '570'
department:
- _id: MaRo
doi: 10.1038/s41467-021-22538-w
external_id:
  isi:
  - '000642509600006'
  pmid:
  - '33879782'
file:
- access_level: open_access
  checksum: eca8b9ae713835c5b785211dd08d8a2e
  content_type: application/pdf
  creator: kschuh
  date_created: 2021-05-04T15:07:50Z
  date_updated: 2021-05-04T15:07:50Z
  file_id: '9372'
  file_name: 2021_nature_communications_Ojavee.pdf
  file_size: 6474239
  relation: main_file
  success: 1
file_date_updated: 2021-05-04T15:07:50Z
has_accepted_license: '1'
intvolume: '        12'
isi: 1
issue: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 9B8D11D6-BA93-11EA-9121-9846C619BF3A
  grant_number: PCEGP3_181181
  name: Improving estimation and prediction of common complex disease risk
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Nature Research
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/predicting-the-onset-of-diseases/
scopus_import: '1'
status: public
title: Genomic architecture and prediction of censored time-to-event phenotypes with
  a Bayesian genome-wide analysis
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: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 12
year: '2021'
...
---
_id: '8544'
abstract:
- lang: eng
  text: The synaptotrophic hypothesis posits that synapse formation stabilizes dendritic
    branches, yet this hypothesis has not been causally tested in vivo in the mammalian
    brain. Presynaptic ligand cerebellin-1 (Cbln1) and postsynaptic receptor GluD2
    mediate synaptogenesis between granule cells and Purkinje cells in the molecular
    layer of the cerebellar cortex. Here we show that sparse but not global knockout
    of GluD2 causes under-elaboration of Purkinje cell dendrites in the deep molecular
    layer and overelaboration in the superficial molecular layer. Developmental, overexpression,
    structure-function, and genetic epistasis analyses indicate that dendrite morphogenesis
    defects result from competitive synaptogenesis in a Cbln1/GluD2-dependent manner.
    A generative model of dendritic growth based on competitive synaptogenesis largely
    recapitulates GluD2 sparse and global knockout phenotypes. Our results support
    the synaptotrophic hypothesis at initial stages of dendrite development, suggest
    a second mode in which cumulative synapse formation inhibits further dendrite
    growth, and highlight the importance of competition in dendrite morphogenesis.
acknowledgement: We thank M. Mishina for GluD2fl frozen embryos, T.C. Südhof and J.I.
  Morgan for Cbln1fl mice, L. Anderson for help in generating the MADM alleles, W.
  Joo for a previously unpublished construct, M. Yuzaki, K. Shen, J. Ding, and members
  of the Luo lab, including J.M. Kebschull, H. Li, J. Li, T. Li, C.M. McLaughlin,
  D. Pederick, J. Ren, D.C. Wang and C. Xu for discussions and critiques of the manuscript,
  and M. Yuzaki for supporting Y.H.T. during the final phase of this project. Y.H.T.
  was supported by a JSPS fellowship; S.A.S. was supported by a Stanford Graduate
  Fellowship and an NSF Predoctoral Fellowship; L.J. is supported by a Stanford Graduate
  Fellowship and an NSF Predoctoral Fellowship; M.J.W. is supported by a Burroughs
  Wellcome Fund CASI Award. This work was supported by an NIH grant (R01-NS050538)
  to L.L.; the European Research Council (ERC) under the European Union's Horizon
  2020 research and innovations programme (No. 725780 LinPro) to S.H.; and Simons
  and James S. McDonnell Foundations and an NSF CAREER award to S.G.; L.L. is an HHMI
  investigator.
article_processing_charge: No
article_type: original
author:
- first_name: Yukari H.
  full_name: Takeo, Yukari H.
  last_name: Takeo
- first_name: S. Andrew
  full_name: Shuster, S. Andrew
  last_name: Shuster
- first_name: Linnie
  full_name: Jiang, Linnie
  last_name: Jiang
- first_name: Miley
  full_name: Hu, Miley
  last_name: Hu
- first_name: David J.
  full_name: Luginbuhl, David J.
  last_name: Luginbuhl
- first_name: Thomas
  full_name: Rülicke, Thomas
  last_name: Rülicke
- first_name: Ximena
  full_name: Contreras, Ximena
  id: 475990FE-F248-11E8-B48F-1D18A9856A87
  last_name: Contreras
- first_name: Simon
  full_name: Hippenmeyer, Simon
  id: 37B36620-F248-11E8-B48F-1D18A9856A87
  last_name: Hippenmeyer
  orcid: 0000-0003-2279-1061
- first_name: Mark J.
  full_name: Wagner, Mark J.
  last_name: Wagner
- first_name: Surya
  full_name: Ganguli, Surya
  last_name: Ganguli
- first_name: Liqun
  full_name: Luo, Liqun
  last_name: Luo
citation:
  ama: Takeo YH, Shuster SA, Jiang L, et al. GluD2- and Cbln1-mediated competitive
    synaptogenesis shapes the dendritic arbors of cerebellar Purkinje cells. <i>Neuron</i>.
    2021;109(4):P629-644.E8. doi:<a href="https://doi.org/10.1016/j.neuron.2020.11.028">10.1016/j.neuron.2020.11.028</a>
  apa: Takeo, Y. H., Shuster, S. A., Jiang, L., Hu, M., Luginbuhl, D. J., Rülicke,
    T., … Luo, L. (2021). GluD2- and Cbln1-mediated competitive synaptogenesis shapes
    the dendritic arbors of cerebellar Purkinje cells. <i>Neuron</i>. Elsevier. <a
    href="https://doi.org/10.1016/j.neuron.2020.11.028">https://doi.org/10.1016/j.neuron.2020.11.028</a>
  chicago: Takeo, Yukari H., S. Andrew Shuster, Linnie Jiang, Miley Hu, David J. Luginbuhl,
    Thomas Rülicke, Ximena Contreras, et al. “GluD2- and Cbln1-Mediated Competitive
    Synaptogenesis Shapes the Dendritic Arbors of Cerebellar Purkinje Cells.” <i>Neuron</i>.
    Elsevier, 2021. <a href="https://doi.org/10.1016/j.neuron.2020.11.028">https://doi.org/10.1016/j.neuron.2020.11.028</a>.
  ieee: Y. H. Takeo <i>et al.</i>, “GluD2- and Cbln1-mediated competitive synaptogenesis
    shapes the dendritic arbors of cerebellar Purkinje cells,” <i>Neuron</i>, vol.
    109, no. 4. Elsevier, p. P629–644.E8, 2021.
  ista: Takeo YH, Shuster SA, Jiang L, Hu M, Luginbuhl DJ, Rülicke T, Contreras X,
    Hippenmeyer S, Wagner MJ, Ganguli S, Luo L. 2021. GluD2- and Cbln1-mediated competitive
    synaptogenesis shapes the dendritic arbors of cerebellar Purkinje cells. Neuron.
    109(4), P629–644.E8.
  mla: Takeo, Yukari H., et al. “GluD2- and Cbln1-Mediated Competitive Synaptogenesis
    Shapes the Dendritic Arbors of Cerebellar Purkinje Cells.” <i>Neuron</i>, vol.
    109, no. 4, Elsevier, 2021, p. P629–644.E8, doi:<a href="https://doi.org/10.1016/j.neuron.2020.11.028">10.1016/j.neuron.2020.11.028</a>.
  short: Y.H. Takeo, S.A. Shuster, L. Jiang, M. Hu, D.J. Luginbuhl, T. Rülicke, X.
    Contreras, S. Hippenmeyer, M.J. Wagner, S. Ganguli, L. Luo, Neuron 109 (2021)
    P629–644.E8.
date_created: 2020-09-21T11:59:47Z
date_published: 2021-02-17T00:00:00Z
date_updated: 2025-09-10T09:58:28Z
day: '17'
department:
- _id: SiHi
doi: 10.1016/j.neuron.2020.11.028
ec_funded: 1
external_id:
  isi:
  - '000632657400006'
  pmid:
  - '33352118'
intvolume: '       109'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1101/2020.06.14.151258
month: '02'
oa: 1
oa_version: Preprint
page: P629-644.E8
pmid: 1
project:
- _id: 260018B0-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '725780'
  name: Principles of Neural Stem Cell Lineage Progression in Cerebral Cortex Development
publication: Neuron
publication_identifier:
  eissn:
  - 1097-4199
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: GluD2- and Cbln1-mediated competitive synaptogenesis shapes the dendritic arbors
  of cerebellar Purkinje cells
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 109
year: '2021'
...
---
_id: '8546'
abstract:
- lang: eng
  text: Brain neurons arise from relatively few progenitors generating an enormous
    diversity of neuronal types. Nonetheless, a cardinal feature of mammalian brain
    neurogenesis is thought to be that excitatory and inhibitory neurons derive from
    separate, spatially segregated progenitors. Whether bi-potential progenitors with
    an intrinsic capacity to generate both lineages exist and how such a fate decision
    may be regulated are unknown. Using cerebellar development as a model, we discover
    that individual progenitors can give rise to both inhibitory and excitatory lineages.
    Gradations of Notch activity determine the fates of the progenitors and their
    daughters. Daughters with the highest levels of Notch activity retain the progenitor
    fate, while intermediate levels of Notch activity generate inhibitory neurons,
    and daughters with very low levels of Notch signaling adopt the excitatory fate.
    Therefore, Notch-mediated binary cell fate choice is a mechanism for regulating
    the ratio of excitatory to inhibitory neurons from common progenitors.
acknowledgement: This work was supported by the program “Investissements d’avenir”
  ANR-10-IAIHU-06 , ICM , a Sorbonne Université Emergence grant, an Allen Distinguished
  Investigator Award , and the Roger De Spoelberch Foundation Prize (to B.A.H.); Armenise-Harvard
  Foundation , AIRC , and CARITRO (to L.T.); and the European Research Council under
  the European Union’s Horizon 2020 research and innovation programme grant agreement
  no. 725780 LinPro (to S.H.). T.Z. and T.L. were supported by doctoral fellowships
  from the China Scholarship Council and A.H.H. by a doctoral DOC fellowship of the
  Austrian Academy of Sciences ( 24812 ). All animal work was conducted at the PHENO-ICMice
  facility. The Core is supported by 2 “Investissements d’avenir” (ANR-10- IAIHU-06
  and ANR-11-INBS-0011-NeurATRIS) and the “Fondation pour la Recherche Médicale.”
  Light microscopy work was carried out at ICM’s imaging core facility, ICM.Quant,
  and analysis of scRNA-seq data was carried out at ICM’s bioinformatics core facility,
  iCONICS. We thank Paulina Ejsmont, Natalia Danda, and Nathalie De Geest for technical
  support. We are grateful to Dr. Shahragim TAJBAKHSH for providing R26Rstop-NICD-nGFP
  transgenic mice, Dr. Bart De Strooper for Psn1-deficient mice, Dr. Jean-Christophe
  Marine for Gt(ROSA)26SortdTom reporter mice, and Dr. Martinez Barbera for Sox2CreERT2
  mice. We also give thanks to Dr. Mikio Hoshino for providing Atoh1 and Ptf1a antibodies.
  B.A.H. is an Einstein Visiting Fellow of the Berlin Institute of Health .
article_number: '109208'
article_processing_charge: No
article_type: original
author:
- first_name: Tingting
  full_name: Zhang, Tingting
  last_name: Zhang
- first_name: Tengyuan
  full_name: Liu, Tengyuan
  last_name: Liu
- first_name: Natalia
  full_name: Mora, Natalia
  last_name: Mora
- first_name: Justine
  full_name: Guegan, Justine
  last_name: Guegan
- first_name: Mathilde
  full_name: Bertrand, Mathilde
  last_name: Bertrand
- first_name: Ximena
  full_name: Contreras, Ximena
  id: 475990FE-F248-11E8-B48F-1D18A9856A87
  last_name: Contreras
- first_name: Andi H
  full_name: Hansen, Andi H
  id: 38853E16-F248-11E8-B48F-1D18A9856A87
  last_name: Hansen
- first_name: Carmen
  full_name: Streicher, Carmen
  id: 36BCB99C-F248-11E8-B48F-1D18A9856A87
  last_name: Streicher
- first_name: Marica
  full_name: Anderle, Marica
  last_name: Anderle
- first_name: Natasha
  full_name: Danda, Natasha
  last_name: Danda
- first_name: Luca
  full_name: Tiberi, Luca
  last_name: Tiberi
- first_name: Simon
  full_name: Hippenmeyer, Simon
  id: 37B36620-F248-11E8-B48F-1D18A9856A87
  last_name: Hippenmeyer
  orcid: 0000-0003-2279-1061
- first_name: Bassem A.
  full_name: Hassan, Bassem A.
  last_name: Hassan
citation:
  ama: Zhang T, Liu T, Mora N, et al. Generation of excitatory and inhibitory neurons
    from common progenitors via Notch signaling in the cerebellum. <i>Cell Reports</i>.
    2021;35(10). doi:<a href="https://doi.org/10.1016/j.celrep.2021.109208">10.1016/j.celrep.2021.109208</a>
  apa: Zhang, T., Liu, T., Mora, N., Guegan, J., Bertrand, M., Contreras, X., … Hassan,
    B. A. (2021). Generation of excitatory and inhibitory neurons from common progenitors
    via Notch signaling in the cerebellum. <i>Cell Reports</i>. Elsevier. <a href="https://doi.org/10.1016/j.celrep.2021.109208">https://doi.org/10.1016/j.celrep.2021.109208</a>
  chicago: Zhang, Tingting, Tengyuan Liu, Natalia Mora, Justine Guegan, Mathilde Bertrand,
    Ximena Contreras, Andi H Hansen, et al. “Generation of Excitatory and Inhibitory
    Neurons from Common Progenitors via Notch Signaling in the Cerebellum.” <i>Cell
    Reports</i>. Elsevier, 2021. <a href="https://doi.org/10.1016/j.celrep.2021.109208">https://doi.org/10.1016/j.celrep.2021.109208</a>.
  ieee: T. Zhang <i>et al.</i>, “Generation of excitatory and inhibitory neurons from
    common progenitors via Notch signaling in the cerebellum,” <i>Cell Reports</i>,
    vol. 35, no. 10. Elsevier, 2021.
  ista: Zhang T, Liu T, Mora N, Guegan J, Bertrand M, Contreras X, Hansen AH, Streicher
    C, Anderle M, Danda N, Tiberi L, Hippenmeyer S, Hassan BA. 2021. Generation of
    excitatory and inhibitory neurons from common progenitors via Notch signaling
    in the cerebellum. Cell Reports. 35(10), 109208.
  mla: Zhang, Tingting, et al. “Generation of Excitatory and Inhibitory Neurons from
    Common Progenitors via Notch Signaling in the Cerebellum.” <i>Cell Reports</i>,
    vol. 35, no. 10, 109208, Elsevier, 2021, doi:<a href="https://doi.org/10.1016/j.celrep.2021.109208">10.1016/j.celrep.2021.109208</a>.
  short: T. Zhang, T. Liu, N. Mora, J. Guegan, M. Bertrand, X. Contreras, A.H. Hansen,
    C. Streicher, M. Anderle, N. Danda, L. Tiberi, S. Hippenmeyer, B.A. Hassan, Cell
    Reports 35 (2021).
date_created: 2020-09-21T12:00:48Z
date_published: 2021-06-08T00:00:00Z
date_updated: 2026-04-02T11:52:30Z
day: '08'
ddc:
- '570'
department:
- _id: SiHi
doi: 10.1016/j.celrep.2021.109208
ec_funded: 1
external_id:
  isi:
  - '000659894300001'
  pmid:
  - '34107249 '
file:
- access_level: open_access
  checksum: 7def3d42ebc8f5675efb6f38819e3e2e
  content_type: application/pdf
  creator: cziletti
  date_created: 2021-06-15T14:01:35Z
  date_updated: 2021-06-15T14:01:35Z
  file_id: '9554'
  file_name: 2021_CellReports_Zhang.pdf
  file_size: 8900385
  relation: main_file
  success: 1
file_date_updated: 2021-06-15T14:01:35Z
has_accepted_license: '1'
intvolume: '        35'
isi: 1
issue: '10'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '06'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 260018B0-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '725780'
  name: Principles of Neural Stem Cell Lineage Progression in Cerebral Cortex Development
- _id: 2625A13E-B435-11E9-9278-68D0E5697425
  grant_number: '24812'
  name: Molecular mechanisms of radial neuronal migration
publication: Cell Reports
publication_identifier:
  eissn:
  - ' 2211-1247'
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
  link:
  - relation: earlier_version
    url: https://doi.org/10.1101/2020.03.18.997205
scopus_import: '1'
status: public
title: Generation of excitatory and inhibitory neurons from common progenitors via
  Notch signaling in the cerebellum
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: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 35
year: '2021'
...
