---
_id: '18279'
abstract:
- lang: eng
  text: We consider the tasks of representing, analyzing and manipulating maps between
    shapes. We model maps as densities over the product manifold of the input shapes;
    these densities can be treated as scalar functions and therefore are manipulable
    using the language of signal processing on manifolds. Being a manifold itself,
    the product space endows the set of maps with a geometry of its own, which we
    exploit to define map operations in the spectral domain. To apply these ideas
    in practice, we introduce localized spectral analysis of the product manifold
    as a novel tool for map processing.
article_processing_charge: No
author:
- first_name: E.
  full_name: Rodola, E.
  last_name: Rodola
- first_name: Z.
  full_name: Lähner, Z.
  last_name: Lähner
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: M. M.
  full_name: Bronstein, M. M.
  last_name: Bronstein
- first_name: J.
  full_name: Solomon, J.
  last_name: Solomon
citation:
  ama: Rodola E, Lähner Z, Bronstein AM, Bronstein MM, Solomon J. <i>Functional Maps
    on Product Manifolds</i>. The Eurographics Association; 2018. doi:<a href="https://doi.org/10.2312/SGP.20181182">10.2312/SGP.20181182</a>
  apa: Rodola, E., Lähner, Z., Bronstein, A. M., Bronstein, M. M., &#38; Solomon,
    J. (2018). <i>Functional maps on product manifolds</i>. <i>Symposium on Geometry
    Processing</i>. The Eurographics Association. <a href="https://doi.org/10.2312/SGP.20181182">https://doi.org/10.2312/SGP.20181182</a>
  chicago: Rodola, E., Z. Lähner, Alex M. Bronstein, M. M. Bronstein, and J. Solomon.
    <i>Functional Maps on Product Manifolds</i>. <i>Symposium on Geometry Processing</i>.
    The Eurographics Association, 2018. <a href="https://doi.org/10.2312/SGP.20181182">https://doi.org/10.2312/SGP.20181182</a>.
  ieee: E. Rodola, Z. Lähner, A. M. Bronstein, M. M. Bronstein, and J. Solomon, <i>Functional
    maps on product manifolds</i>. The Eurographics Association, 2018.
  ista: Rodola E, Lähner Z, Bronstein AM, Bronstein MM, Solomon J. 2018. Functional
    maps on product manifolds, The Eurographics Association,p.
  mla: Rodola, E., et al. “Functional Maps on Product Manifolds.” <i>Symposium on
    Geometry Processing</i>, The Eurographics Association, 2018, doi:<a href="https://doi.org/10.2312/SGP.20181182">10.2312/SGP.20181182</a>.
  short: E. Rodola, Z. Lähner, A.M. Bronstein, M.M. Bronstein, J. Solomon, Functional
    Maps on Product Manifolds, The Eurographics Association, 2018.
date_created: 2024-10-09T07:46:18Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2025-02-03T09:35:08Z
day: '01'
doi: 10.2312/SGP.20181182
extern: '1'
fulldoi: https://doi.org/10.2312/SGP.20181182
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.2312/sgp.20181182
month: '01'
oa: 1
oa_version: None
publication: Symposium on Geometry Processing
publication_identifier:
  issn:
  - 1727-8384
publication_status: published
publisher: The Eurographics Association
quality_controlled: '1'
status: public
title: Functional maps on product manifolds
type: conference_poster
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2018'
...
---
_id: '18281'
abstract:
- lang: eng
  text: Shape correspondence is a fundamental problem in computer graphics and vision,
    with applications in various problems including animation, texture mapping, robotic
    vision, medical imaging, archaeology and many more. In settings where the shapes
    are allowed to undergo nonrigid deformations and only partial views are available,
    the problem becomes very challenging. In this chapter we describe recent techniques
    designed to tackle such problems. Specifically, we explain how the renown functional
    maps framework can be extended to tackle the partial setting. We then present
    a further extension to the multipart case in which one tries to establish correspondence
    between a collection of shapes. Finally, we focus on improving the technique efficiency,
    by disposing of its spatial ingredient and thus keeping the computation in the
    spectral domain. Extensive experimental results are provided along with the theoretical
    explanations, to demonstrate the effectiveness of the described methods in these
    challenging scenarios.
alternative_title:
- Handbook of Numerical Analysis
article_processing_charge: No
author:
- first_name: Or
  full_name: Litany, Or
  last_name: Litany
- first_name: Emanuele
  full_name: Rodolà, Emanuele
  last_name: Rodolà
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Michael
  full_name: Bronstein, Michael
  last_name: Bronstein
- first_name: Daniel
  full_name: Cremers, Daniel
  last_name: Cremers
citation:
  ama: 'Litany O, Rodolà E, Bronstein AM, Bronstein M, Cremers D. Partial Single-
    and Multishape Dense Correspondence Using Functional Maps. In: Kimmel R, Tai X-C,
    eds. <i>Processing, Analyzing and Learning of Images, Shapes, and Forms: Part
    1</i>. Vol 19. 1st ed. Amsterdam: Elsevier; 2018:55-90. doi:<a href="https://doi.org/10.1016/bs.hna.2018.09.002">10.1016/bs.hna.2018.09.002</a>'
  apa: 'Litany, O., Rodolà, E., Bronstein, A. M., Bronstein, M., &#38; Cremers, D.
    (2018). Partial Single- and Multishape Dense Correspondence Using Functional Maps.
    In R. Kimmel &#38; X.-C. Tai (Eds.), <i>Processing, Analyzing and Learning of
    Images, Shapes, and Forms: Part 1</i> (1st ed., Vol. 19, pp. 55–90). Amsterdam:
    Elsevier. <a href="https://doi.org/10.1016/bs.hna.2018.09.002">https://doi.org/10.1016/bs.hna.2018.09.002</a>'
  chicago: 'Litany, Or, Emanuele Rodolà, Alex M. Bronstein, Michael Bronstein, and
    Daniel Cremers. “Partial Single- and Multishape Dense Correspondence Using Functional
    Maps.” In <i>Processing, Analyzing and Learning of Images, Shapes, and Forms:
    Part 1</i>, edited by Ron Kimmel and Xue-Cheng Tai, 1st ed., 19:55–90. Amsterdam:
    Elsevier, 2018. <a href="https://doi.org/10.1016/bs.hna.2018.09.002">https://doi.org/10.1016/bs.hna.2018.09.002</a>.'
  ieee: 'O. Litany, E. Rodolà, A. M. Bronstein, M. Bronstein, and D. Cremers, “Partial
    Single- and Multishape Dense Correspondence Using Functional Maps,” in <i>Processing,
    Analyzing and Learning of Images, Shapes, and Forms: Part 1</i>, 1st ed., vol.
    19, R. Kimmel and X.-C. Tai, Eds. Amsterdam: Elsevier, 2018, pp. 55–90.'
  ista: 'Litany O, Rodolà E, Bronstein AM, Bronstein M, Cremers D. 2018.Partial Single-
    and Multishape Dense Correspondence Using Functional Maps. In: Processing, Analyzing
    and Learning of Images, Shapes, and Forms: Part 1. Handbook of Numerical Analysis,
    vol. 19, 55–90.'
  mla: 'Litany, Or, et al. “Partial Single- and Multishape Dense Correspondence Using
    Functional Maps.” <i>Processing, Analyzing and Learning of Images, Shapes, and
    Forms: Part 1</i>, edited by Ron Kimmel and Xue-Cheng Tai, 1st ed., vol. 19, Elsevier,
    2018, pp. 55–90, doi:<a href="https://doi.org/10.1016/bs.hna.2018.09.002">10.1016/bs.hna.2018.09.002</a>.'
  short: 'O. Litany, E. Rodolà, A.M. Bronstein, M. Bronstein, D. Cremers, in:, R.
    Kimmel, X.-C. Tai (Eds.), Processing, Analyzing and Learning of Images, Shapes,
    and Forms: Part 1, 1st ed., Elsevier, Amsterdam, 2018, pp. 55–90.'
date_created: 2024-10-09T07:47:10Z
date_published: 2018-11-08T00:00:00Z
date_updated: 2025-01-23T13:43:17Z
day: '08'
doi: 10.1016/bs.hna.2018.09.002
edition: '1'
editor:
- first_name: Ron
  full_name: Kimmel, Ron
  last_name: Kimmel
- first_name: Xue-Cheng
  full_name: Tai, Xue-Cheng
  last_name: Tai
extern: '1'
fulldoi: https://doi.org/10.1016/bs.hna.2018.09.002
intvolume: '        19'
language:
- iso: eng
month: '11'
oa_version: None
page: 55-90
place: Amsterdam
publication: 'Processing, Analyzing and Learning of Images, Shapes, and Forms: Part
  1'
publication_identifier:
  isbn:
  - '9780444642059'
  issn:
  - 1570-8659
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Partial Single- and Multishape Dense Correspondence Using Functional Maps
type: book_chapter
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2018'
...
---
_id: '18282'
abstract:
- lang: eng
  text: In this paper, we introduce a random forest semantic hashing scheme that embeds
    tiny convolutional neural networks (CNN) into shallow random forests. A binary
    hash code for a data point is obtained by a set of decision trees, setting ‘1’
    for the visited tree leaf, and ‘0’ for the rest. We propose to first randomly
    group arriving classes at each tree split node into two groups, obtaining a significantly
    simplified two-class classification problem that can be a handled with a light-weight
    CNN weak learner. Code uniqueness is achieved via the random class grouping, whilst
    code consistency is achieved using a low-rank loss in the CNN weak learners that
    encourages intra-class compactness for the two random class groups. Finally, we
    introduce an information-theoretic approach for aggregating codes of individual
    trees into a single hash code, producing a near-optimal unique hash for each class.
    The proposed approach significantly outperforms state-of-the-art hashing methods
    for image retrieval tasks on large-scale public datasets, and is comparable to
    image classification methods while utilizing a more compact, efficient and scalable
    representation. This work proposes a principled and robust procedure to train
    and deploy in parallel an ensemble of light-weight CNNs, instead of simply going
    deeper.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Qiang
  full_name: Qiu, Qiang
  last_name: Qiu
- first_name: José
  full_name: Lezama, José
  last_name: Lezama
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Guillermo
  full_name: Sapiro, Guillermo
  last_name: Sapiro
citation:
  ama: 'Qiu Q, Lezama J, Bronstein AM, Sapiro G. ForestHash: Semantic hashing with
    shallow random forests and tiny convolutional networks. In: <i>European Conference
    on Computer Vision</i>. Vol 11206. Springer Nature; 2018. doi:<a href="https://doi.org/10.1007/978-3-030-01216-8_27">10.1007/978-3-030-01216-8_27</a>'
  apa: 'Qiu, Q., Lezama, J., Bronstein, A. M., &#38; Sapiro, G. (2018). ForestHash:
    Semantic hashing with shallow random forests and tiny convolutional networks.
    In <i>European Conference on Computer Vision</i> (Vol. 11206). Munich, Germany:
    Springer Nature. <a href="https://doi.org/10.1007/978-3-030-01216-8_27">https://doi.org/10.1007/978-3-030-01216-8_27</a>'
  chicago: 'Qiu, Qiang, José Lezama, Alex M. Bronstein, and Guillermo Sapiro. “ForestHash:
    Semantic Hashing with Shallow Random Forests and Tiny Convolutional Networks.”
    In <i>European Conference on Computer Vision</i>, Vol. 11206. Springer Nature,
    2018. <a href="https://doi.org/10.1007/978-3-030-01216-8_27">https://doi.org/10.1007/978-3-030-01216-8_27</a>.'
  ieee: 'Q. Qiu, J. Lezama, A. M. Bronstein, and G. Sapiro, “ForestHash: Semantic
    hashing with shallow random forests and tiny convolutional networks,” in <i>European
    Conference on Computer Vision</i>, Munich, Germany, 2018, vol. 11206, no. Part
    II.'
  ista: 'Qiu Q, Lezama J, Bronstein AM, Sapiro G. 2018. ForestHash: Semantic hashing
    with shallow random forests and tiny convolutional networks. European Conference
    on Computer Vision. ECCV: European Conference on Computer Vision, LNCS, vol. 11206.'
  mla: 'Qiu, Qiang, et al. “ForestHash: Semantic Hashing with Shallow Random Forests
    and Tiny Convolutional Networks.” <i>European Conference on Computer Vision</i>,
    vol. 11206, no. Part II, Springer Nature, 2018, doi:<a href="https://doi.org/10.1007/978-3-030-01216-8_27">10.1007/978-3-030-01216-8_27</a>.'
  short: Q. Qiu, J. Lezama, A.M. Bronstein, G. Sapiro, in:, European Conference on
    Computer Vision, Springer Nature, 2018.
conference:
  end_date: 2018-09-14
  location: Munich, Germany
  name: 'ECCV: European Conference on Computer Vision'
  start_date: 2018-09-08
date_created: 2024-10-09T07:47:30Z
date_published: 2018-10-09T00:00:00Z
date_updated: 2025-01-23T13:25:18Z
day: '09'
doi: 10.1007/978-3-030-01216-8_27
extern: '1'
fulldoi: https://doi.org/10.1007/978-3-030-01216-8_27
intvolume: '     11206'
issue: Part II
language:
- iso: eng
month: '10'
oa_version: None
publication: European Conference on Computer Vision
publication_identifier:
  eisbn:
  - '9783030012168'
  eissn:
  - 1611-3349
  isbn:
  - '9783030012151'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'ForestHash: Semantic hashing with shallow random forests and tiny convolutional
  networks'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 11206
year: '2018'
...
---
_id: '18283'
abstract:
- lang: eng
  text: Cardiac ultrasound imaging requires a high frame rate in order to capture
    rapid motion. This can be achieved by multi-line acquisition (MLA), where several
    narrow-focused received lines are obtained from each wide-focused transmitted
    line. This shortens the acquisition time at the expense of introducing block artifacts.
    In this paper, we propose a data-driven learning-based approach to improve the
    MLA image quality. We train an end-to-end convolutional neural network on pairs
    of real ultrasound cardiac data, acquired through MLA and the corresponding single-line
    acquisition (SLA). The network achieves a significant improvement in image quality
    for both 5- and 7-line MLA resulting in a decorrelation measure similar to that
    of SLA while having the frame rate of MLA.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Ortal
  full_name: Senouf, Ortal
  last_name: Senouf
- first_name: Sanketh
  full_name: Vedula, Sanketh
  last_name: Vedula
- first_name: Grigoriy
  full_name: Zurakhov, Grigoriy
  last_name: Zurakhov
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Michael
  full_name: Zibulevsky, Michael
  last_name: Zibulevsky
- first_name: Oleg
  full_name: Michailovich, Oleg
  last_name: Michailovich
- first_name: Dan
  full_name: Adam, Dan
  last_name: Adam
- first_name: David
  full_name: Blondheim, David
  last_name: Blondheim
citation:
  ama: 'Senouf O, Vedula S, Zurakhov G, et al. High frame-rate cardiac ultrasound
    imaging with deep learning. In: <i>International Conference on Medical Image Computing
    and Computer Assisted Intervention</i>. Vol 11070. Springer Nature; 2018:126-134.
    doi:<a href="https://doi.org/10.1007/978-3-030-00928-1_15">10.1007/978-3-030-00928-1_15</a>'
  apa: 'Senouf, O., Vedula, S., Zurakhov, G., Bronstein, A. M., Zibulevsky, M., Michailovich,
    O., … Blondheim, D. (2018). High frame-rate cardiac ultrasound imaging with deep
    learning. In <i>International Conference on Medical Image Computing and Computer
    Assisted Intervention</i> (Vol. 11070, pp. 126–134). Granada, Spain: Springer
    Nature. <a href="https://doi.org/10.1007/978-3-030-00928-1_15">https://doi.org/10.1007/978-3-030-00928-1_15</a>'
  chicago: Senouf, Ortal, Sanketh Vedula, Grigoriy Zurakhov, Alex M. Bronstein, Michael
    Zibulevsky, Oleg Michailovich, Dan Adam, and David Blondheim. “High Frame-Rate
    Cardiac Ultrasound Imaging with Deep Learning.” In <i>International Conference
    on Medical Image Computing and Computer Assisted Intervention</i>, 11070:126–34.
    Springer Nature, 2018. <a href="https://doi.org/10.1007/978-3-030-00928-1_15">https://doi.org/10.1007/978-3-030-00928-1_15</a>.
  ieee: O. Senouf <i>et al.</i>, “High frame-rate cardiac ultrasound imaging with
    deep learning,” in <i>International Conference on Medical Image Computing and
    Computer Assisted Intervention</i>, Granada, Spain, 2018, vol. 11070, no. Part
    1, pp. 126–134.
  ista: 'Senouf O, Vedula S, Zurakhov G, Bronstein AM, Zibulevsky M, Michailovich
    O, Adam D, Blondheim D. 2018. High frame-rate cardiac ultrasound imaging with
    deep learning. International Conference on Medical Image Computing and Computer
    Assisted Intervention. MICCAI: Medical Image Computing and Computer Assisted Intervention,
    LNCS, vol. 11070, 126–134.'
  mla: Senouf, Ortal, et al. “High Frame-Rate Cardiac Ultrasound Imaging with Deep
    Learning.” <i>International Conference on Medical Image Computing and Computer
    Assisted Intervention</i>, vol. 11070, no. Part 1, Springer Nature, 2018, pp.
    126–34, doi:<a href="https://doi.org/10.1007/978-3-030-00928-1_15">10.1007/978-3-030-00928-1_15</a>.
  short: O. Senouf, S. Vedula, G. Zurakhov, A.M. Bronstein, M. Zibulevsky, O. Michailovich,
    D. Adam, D. Blondheim, in:, International Conference on Medical Image Computing
    and Computer Assisted Intervention, Springer Nature, 2018, pp. 126–134.
conference:
  end_date: 2018-09-20
  location: Granada, Spain
  name: 'MICCAI: Medical Image Computing and Computer Assisted Intervention'
  start_date: 2018-09-16
date_created: 2024-10-09T07:47:49Z
date_published: 2018-09-14T00:00:00Z
date_updated: 2025-01-23T13:13:01Z
day: '14'
doi: 10.1007/978-3-030-00928-1_15
extern: '1'
fulldoi: https://doi.org/10.1007/978-3-030-00928-1_15
intvolume: '     11070'
issue: Part 1
language:
- iso: eng
month: '09'
oa_version: None
page: 126 - 134
publication: International Conference on Medical Image Computing and Computer Assisted
  Intervention
publication_identifier:
  eisbn:
  - '9783030009281'
  eissn:
  - 1611-3349
  isbn:
  - '9783030009274'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: High frame-rate cardiac ultrasound imaging with deep learning
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 11070
year: '2018'
...
---
_id: '18284'
abstract:
- lang: eng
  text: Frame rate is a crucial consideration in cardiac ultrasound imaging and 3D
    sonography. Several methods have been proposed in the medical ultrasound literature
    aiming at accelerating the image acquisition. In this paper, we consider one such
    method called multi-line transmission (MLT), in which several evenly separated
    focused beams are transmitted simultaneously. While MLT reduces the acquisition
    time, it comes at the expense of a heavy loss of contrast due to the interactions
    between the beams (cross-talk artifact). In this paper, we introduce a data-driven
    method to reduce the artifacts arising in MLT. To this end, we propose to train
    an end-to-end convolutional neural network consisting of correction layers followed
    by a constant apodization layer. The network is trained on pairs of raw data obtained
    through MLT and the corresponding single-line transmission (SLT) data. Experimental
    evaluation demonstrates significant improvement both in the visual image quality
    and in objective measures such as contrast ratio and contrast-to-noise ratio,
    while preserving resolution unlike traditional apodization-based methods. We show
    that the proposed method is able to generalize well across different patients
    and anatomies on real and phantom data.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Sanketh
  full_name: Vedula, Sanketh
  last_name: Vedula
- first_name: Ortal
  full_name: Senouf, Ortal
  last_name: Senouf
- first_name: Grigoriy
  full_name: Zurakhov, Grigoriy
  last_name: Zurakhov
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Michael
  full_name: Zibulevsky, Michael
  last_name: Zibulevsky
- first_name: Oleg
  full_name: Michailovich, Oleg
  last_name: Michailovich
- first_name: Dan
  full_name: Adam, Dan
  last_name: Adam
- first_name: Diana
  full_name: Gaitini, Diana
  last_name: Gaitini
citation:
  ama: 'Vedula S, Senouf O, Zurakhov G, et al. High quality ultrasonic multi-line
    transmission through deep learning. In: <i>First International Workshop, MLMIR
    2018, Held in Conjunction with MICCAI 2018</i>. Vol 11074. Springer Nature; 2018:147-155.
    doi:<a href="https://doi.org/10.1007/978-3-030-00129-2_17">10.1007/978-3-030-00129-2_17</a>'
  apa: 'Vedula, S., Senouf, O., Zurakhov, G., Bronstein, A. M., Zibulevsky, M., Michailovich,
    O., … Gaitini, D. (2018). High quality ultrasonic multi-line transmission through
    deep learning. In <i>First International Workshop, MLMIR 2018, Held in Conjunction
    with MICCAI 2018</i> (Vol. 11074, pp. 147–155). Granada, Spain: Springer Nature.
    <a href="https://doi.org/10.1007/978-3-030-00129-2_17">https://doi.org/10.1007/978-3-030-00129-2_17</a>'
  chicago: Vedula, Sanketh, Ortal Senouf, Grigoriy Zurakhov, Alex M. Bronstein, Michael
    Zibulevsky, Oleg Michailovich, Dan Adam, and Diana Gaitini. “High Quality Ultrasonic
    Multi-Line Transmission through Deep Learning.” In <i>First International Workshop,
    MLMIR 2018, Held in Conjunction with MICCAI 2018</i>, 11074:147–55. Springer Nature,
    2018. <a href="https://doi.org/10.1007/978-3-030-00129-2_17">https://doi.org/10.1007/978-3-030-00129-2_17</a>.
  ieee: S. Vedula <i>et al.</i>, “High quality ultrasonic multi-line transmission
    through deep learning,” in <i>First International Workshop, MLMIR 2018, Held in
    Conjunction with MICCAI 2018</i>, Granada, Spain, 2018, vol. 11074, pp. 147–155.
  ista: 'Vedula S, Senouf O, Zurakhov G, Bronstein AM, Zibulevsky M, Michailovich
    O, Adam D, Gaitini D. 2018. High quality ultrasonic multi-line transmission through
    deep learning. First International Workshop, MLMIR 2018, Held in Conjunction with
    MICCAI 2018. MLMIR: Workshop on Machine Learning for Medical Image Reconstruction,
    LNCS, vol. 11074, 147–155.'
  mla: Vedula, Sanketh, et al. “High Quality Ultrasonic Multi-Line Transmission through
    Deep Learning.” <i>First International Workshop, MLMIR 2018, Held in Conjunction
    with MICCAI 2018</i>, vol. 11074, Springer Nature, 2018, pp. 147–55, doi:<a href="https://doi.org/10.1007/978-3-030-00129-2_17">10.1007/978-3-030-00129-2_17</a>.
  short: S. Vedula, O. Senouf, G. Zurakhov, A.M. Bronstein, M. Zibulevsky, O. Michailovich,
    D. Adam, D. Gaitini, in:, First International Workshop, MLMIR 2018, Held in Conjunction
    with MICCAI 2018, Springer Nature, 2018, pp. 147–155.
conference:
  end_date: 2018-09-16
  location: Granada, Spain
  name: 'MLMIR: Workshop on Machine Learning for Medical Image Reconstruction'
  start_date: 2018-09-16
date_created: 2024-10-09T07:48:06Z
date_published: 2018-09-12T00:00:00Z
date_updated: 2025-01-23T12:53:22Z
day: '12'
doi: 10.1007/978-3-030-00129-2_17
extern: '1'
fulldoi: https://doi.org/10.1007/978-3-030-00129-2_17
intvolume: '     11074'
language:
- iso: eng
month: '09'
oa_version: None
page: 147 - 155
publication: First International Workshop, MLMIR 2018, Held in Conjunction with MICCAI
  2018
publication_identifier:
  eisbn:
  - '9783030001292'
  eissn:
  - 1611-3349
  isbn:
  - '9783030001285'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: High quality ultrasonic multi-line transmission through deep learning
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 11074
year: '2018'
...
---
_id: '18285'
abstract:
- lang: eng
  text: Single image depth estimation is achieved using computational imaging and
    Deep Learning (DL). Imaging with phase-mask is also modeled as a DL-layer, and
    the mask and DL parameters are jointly designed using labeled data.
article_number: CW3B.3
article_processing_charge: No
author:
- first_name: Harel
  full_name: Haim, Harel
  last_name: Haim
- first_name: Shay
  full_name: Elmalem, Shay
  last_name: Elmalem
- first_name: Raja
  full_name: Giryes, Raja
  last_name: Giryes
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Emanuel
  full_name: Marom, Emanuel
  last_name: Marom
citation:
  ama: 'Haim H, Elmalem S, Giryes R, Bronstein AM, Marom E. Deep learned phase mask
    for single image depth estimation and 3D scanning. In: <i>Imaging and Applied
    Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&#38;C, MATH, PcAOP)</i>. Vol
    Part F99-COSI 2018. OSA; 2018. doi:<a href="https://doi.org/10.1364/cosi.2018.cw3b.3">10.1364/cosi.2018.cw3b.3</a>'
  apa: 'Haim, H., Elmalem, S., Giryes, R., Bronstein, A. M., &#38; Marom, E. (2018).
    Deep learned phase mask for single image depth estimation and 3D scanning. In
    <i>Imaging and Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&#38;C,
    MATH, pcAOP)</i> (Vol. Part F99-COSI 2018). Orlando, FL, United States: OSA. <a
    href="https://doi.org/10.1364/cosi.2018.cw3b.3">https://doi.org/10.1364/cosi.2018.cw3b.3</a>'
  chicago: Haim, Harel, Shay Elmalem, Raja Giryes, Alex M. Bronstein, and Emanuel
    Marom. “Deep Learned Phase Mask for Single Image Depth Estimation and 3D Scanning.”
    In <i>Imaging and Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&#38;C,
    MATH, PcAOP)</i>, Vol. Part F99-COSI 2018. OSA, 2018. <a href="https://doi.org/10.1364/cosi.2018.cw3b.3">https://doi.org/10.1364/cosi.2018.cw3b.3</a>.
  ieee: H. Haim, S. Elmalem, R. Giryes, A. M. Bronstein, and E. Marom, “Deep learned
    phase mask for single image depth estimation and 3D scanning,” in <i>Imaging and
    Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&#38;C, MATH, pcAOP)</i>,
    Orlando, FL, United States, 2018, vol. Part F99-COSI 2018.
  ista: 'Haim H, Elmalem S, Giryes R, Bronstein AM, Marom E. 2018. Deep learned phase
    mask for single image depth estimation and 3D scanning. Imaging and Applied Optics
    2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&#38;C, MATH, pcAOP). COSI: Computational
    Optical Sensing and Imaging vol. Part F99-COSI 2018, CW3B.3.'
  mla: Haim, Harel, et al. “Deep Learned Phase Mask for Single Image Depth Estimation
    and 3D Scanning.” <i>Imaging and Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS,
    LACSEA, LS&#38;C, MATH, PcAOP)</i>, vol. Part F99-COSI 2018, CW3B.3, OSA, 2018,
    doi:<a href="https://doi.org/10.1364/cosi.2018.cw3b.3">10.1364/cosi.2018.cw3b.3</a>.
  short: H. Haim, S. Elmalem, R. Giryes, A.M. Bronstein, E. Marom, in:, Imaging and
    Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&#38;C, MATH, PcAOP),
    OSA, 2018.
conference:
  end_date: 2018-06-28
  location: Orlando, FL, United States
  name: 'COSI: Computational Optical Sensing and Imaging'
  start_date: 2018-06-25
date_created: 2024-10-09T07:48:24Z
date_published: 2018-06-01T00:00:00Z
date_updated: 2025-01-23T12:42:46Z
day: '01'
doi: 10.1364/cosi.2018.cw3b.3
extern: '1'
fulldoi: https://doi.org/10.1364/cosi.2018.cw3b.3
language:
- iso: eng
month: '06'
oa_version: None
publication: Imaging and Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&C,
  MATH, pcAOP)
publication_identifier:
  isbn:
  - '9781943580446'
publication_status: published
publisher: OSA
quality_controlled: '1'
scopus_import: '1'
status: public
title: Deep learned phase mask for single image depth estimation and 3D scanning
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: Part F99-COSI 2018
year: '2018'
...
---
_id: '183'
abstract:
- lang: eng
  text: 'Fault-localization is considered to be a very tedious and time-consuming
    activity in the design of complex Cyber-Physical Systems (CPS). This laborious
    task essentially requires expert knowledge of the system in order to discover
    the cause of the fault. In this context, we propose a new procedure that AIDS
    designers in debugging Simulink/Stateflow hybrid system models, guided by Signal
    Temporal Logic (STL) specifications. The proposed method relies on three main
    ingredients: (1) a monitoring and a trace diagnostics procedure that checks whether
    a tested behavior satisfies or violates an STL specification, localizes time segments
    and interfaces variables contributing to the property violations; (2) a slicing
    procedure that maps these observable behavior segments to the internal states
    and transitions of the Simulink model; and (3) a spectrum-based fault-localization
    method that combines the previous analysis from multiple tests to identify the
    internal states and/or transitions that are the most likely to explain the fault.
    We demonstrate the applicability of our approach on two Simulink models from the
    automotive and the avionics domain.'
acknowledgement: This work was partially supported by the Austrian Science Fund (FWF)
  under grants S11402-N23 and S11405-N23 (RiSE/SHiNE), the CPS/IoT project (HRSM),
  the EU ICT COST Action IC1402 on Run-time Verification beyond Monitoring (ARVI),
  the AMASS project (ECSEL 692474), and the ENABLE-S3 project (ECSEL 692455). The
  CPS/IoT project receives support from the Austrian government through the Federal
  Ministry of Science, Research and Economy (BMWFW) in the funding program Hochschulraum-Strukturmittel
  (HRSM) 2016. The ECSEL Joint Undertaking receives support from the European Union’s
  Horizon 2020 research and innovation programme and Austria, Denmark, Germany, Finland,
  Czech Republic, Italy, Spain, Portugal, Poland, Ireland, Belgium, France, Netherlands,
  United Kingdom, Slovakia, Norway.
alternative_title:
- HSCC Proceedings
article_processing_charge: No
author:
- first_name: Ezio
  full_name: Bartocci, Ezio
  last_name: Bartocci
- first_name: Thomas
  full_name: Ferrere, Thomas
  id: 40960E6E-F248-11E8-B48F-1D18A9856A87
  last_name: Ferrere
  orcid: 0000-0001-5199-3143
- first_name: Niveditha
  full_name: Manjunath, Niveditha
  last_name: Manjunath
- first_name: Dejan
  full_name: Nickovic, Dejan
  last_name: Nickovic
citation:
  ama: 'Bartocci E, Ferrere T, Manjunath N, Nickovic D. Localizing faults in simulink/stateflow
    models with STL. In: Association for Computing Machinery; 2018:197-206. doi:<a
    href="https://doi.org/10.1145/3178126.3178131">10.1145/3178126.3178131</a>'
  apa: 'Bartocci, E., Ferrere, T., Manjunath, N., &#38; Nickovic, D. (2018). Localizing
    faults in simulink/stateflow models with STL (pp. 197–206). Presented at the HSCC:
    Hybrid Systems - Computation and Control, Porto, Portugal: Association for Computing
    Machinery. <a href="https://doi.org/10.1145/3178126.3178131">https://doi.org/10.1145/3178126.3178131</a>'
  chicago: Bartocci, Ezio, Thomas Ferrere, Niveditha Manjunath, and Dejan Nickovic.
    “Localizing Faults in Simulink/Stateflow Models with STL,” 197–206. Association
    for Computing Machinery, 2018. <a href="https://doi.org/10.1145/3178126.3178131">https://doi.org/10.1145/3178126.3178131</a>.
  ieee: 'E. Bartocci, T. Ferrere, N. Manjunath, and D. Nickovic, “Localizing faults
    in simulink/stateflow models with STL,” presented at the HSCC: Hybrid Systems
    - Computation and Control, Porto, Portugal, 2018, pp. 197–206.'
  ista: 'Bartocci E, Ferrere T, Manjunath N, Nickovic D. 2018. Localizing faults in
    simulink/stateflow models with STL. HSCC: Hybrid Systems - Computation and Control,
    HSCC Proceedings, , 197–206.'
  mla: Bartocci, Ezio, et al. <i>Localizing Faults in Simulink/Stateflow Models with
    STL</i>. Association for Computing Machinery, 2018, pp. 197–206, doi:<a href="https://doi.org/10.1145/3178126.3178131">10.1145/3178126.3178131</a>.
  short: E. Bartocci, T. Ferrere, N. Manjunath, D. Nickovic, in:, Association for
    Computing Machinery, 2018, pp. 197–206.
conference:
  end_date: 2018-04-13
  location: Porto, Portugal
  name: 'HSCC: Hybrid Systems - Computation and Control'
  start_date: 2018-04-11
date_created: 2018-12-11T11:45:04Z
date_published: 2018-04-11T00:00:00Z
date_updated: 2025-07-10T11:51:22Z
day: '11'
department:
- _id: ToHe
doi: 10.1145/3178126.3178131
external_id:
  isi:
  - '000474781600022'
fulldoi: https://doi.org/10.1145/3178126.3178131
isi: 1
language:
- iso: eng
month: '04'
oa_version: None
page: 197 - 206
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication_status: published
publisher: Association for Computing Machinery
publist_id: '7738'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Localizing faults in simulink/stateflow models with STL
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2018'
...
---
_id: '184'
abstract:
- lang: eng
  text: We prove that for every d ≥ 2, deciding if a pure, d-dimensional, simplicial
    complex is shellable is NP-hard, hence NP-complete. This resolves a question raised,
    e.g., by Danaraj and Klee in 1978. Our reduction also yields that for every d
    ≥ 2 and k ≥ 0, deciding if a pure, d-dimensional, simplicial complex is k-decomposable
    is NP-hard. For d ≥ 3, both problems remain NP-hard when restricted to contractible
    pure d-dimensional complexes.
acknowledgement: 'Partially supported by the project EMBEDS II (CZ: 7AMB17FR029, FR:
  38087RM) of Czech-French collaboration.'
alternative_title:
- Leibniz International Proceedings in Information, LIPIcs
author:
- first_name: Xavier
  full_name: Goaoc, Xavier
  last_name: Goaoc
- first_name: Pavel
  full_name: Paták, Pavel
  last_name: Paták
- first_name: Zuzana
  full_name: Patakova, Zuzana
  id: 48B57058-F248-11E8-B48F-1D18A9856A87
  last_name: Patakova
  orcid: 0000-0002-3975-1683
- first_name: Martin
  full_name: Tancer, Martin
  id: 38AC689C-F248-11E8-B48F-1D18A9856A87
  last_name: Tancer
  orcid: 0000-0002-1191-6714
- first_name: Uli
  full_name: Wagner, Uli
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: 'Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. Shellability is NP-complete.
    In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018:41:1-41:16.
    doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2018.41">10.4230/LIPIcs.SoCG.2018.41</a>'
  apa: 'Goaoc, X., Paták, P., Patakova, Z., Tancer, M., &#38; Wagner, U. (2018). Shellability
    is NP-complete (Vol. 99, p. 41:1-41:16). Presented at the SoCG: Symposium on Computational
    Geometry, Budapest, Hungary: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.SoCG.2018.41">https://doi.org/10.4230/LIPIcs.SoCG.2018.41</a>'
  chicago: Goaoc, Xavier, Pavel Paták, Zuzana Patakova, Martin Tancer, and Uli Wagner.
    “Shellability Is NP-Complete,” 99:41:1-41:16. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2018. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2018.41">https://doi.org/10.4230/LIPIcs.SoCG.2018.41</a>.
  ieee: 'X. Goaoc, P. Paták, Z. Patakova, M. Tancer, and U. Wagner, “Shellability
    is NP-complete,” presented at the SoCG: Symposium on Computational Geometry, Budapest,
    Hungary, 2018, vol. 99, p. 41:1-41:16.'
  ista: 'Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. 2018. Shellability is NP-complete.
    SoCG: Symposium on Computational Geometry, Leibniz International Proceedings in
    Information, LIPIcs, vol. 99, 41:1-41:16.'
  mla: Goaoc, Xavier, et al. <i>Shellability Is NP-Complete</i>. Vol. 99, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 41:1-41:16, doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2018.41">10.4230/LIPIcs.SoCG.2018.41</a>.
  short: X. Goaoc, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2018, p. 41:1-41:16.
conference:
  end_date: 2018-06-14
  location: Budapest, Hungary
  name: 'SoCG: Symposium on Computational Geometry'
  start_date: 2018-06-11
date_created: 2018-12-11T11:45:04Z
date_published: 2018-06-11T00:00:00Z
date_updated: 2025-06-04T07:49:02Z
day: '11'
ddc:
- '516'
- '000'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2018.41
file:
- access_level: open_access
  checksum: d12bdd60f04a57307867704b5f930afd
  content_type: application/pdf
  creator: dernst
  date_created: 2018-12-17T16:35:02Z
  date_updated: 2020-07-14T12:45:18Z
  file_id: '5725'
  file_name: 2018_LIPIcs_Goaoc.pdf
  file_size: 718414
  relation: main_file
file_date_updated: 2020-07-14T12:45:18Z
fulldoi: https://doi.org/10.4230/LIPIcs.SoCG.2018.41
has_accepted_license: '1'
intvolume: '        99'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '06'
oa: 1
oa_version: Published Version
page: 41:1 - 41:16
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7736'
quality_controlled: '1'
related_material:
  record:
  - id: '7108'
    relation: later_version
    status: public
scopus_import: 1
status: public
title: Shellability is NP-complete
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 99
year: '2018'
...
---
_id: '18402'
abstract:
- lang: eng
  text: The increasing demand for high image quality in mobile devices brings forth
    the need for better computational enhancement techniques, and image denoising
    in particular. To this end, we propose a new fully convolutional deep neural network
    architecture which is simple yet powerful and achieves state-of-the-art performance
    for additive Gaussian noise removal. Furthermore, we claim that the personal photo-collections
    can usually be categorized into a small set of semantic classes. However simple,
    this observation has not been exploited in image denoising until now. We show
    that a significant boost in performance of up to 0.4dB PSNR can be achieved by
    making our network class-aware, namely, by fine-tuning it for images belonging
    to a specific semantic class. Relying on the hugely successful existing image
    classifiers, this research advocates for using a class-aware approach in all image
    enhancement tasks.
article_processing_charge: No
author:
- first_name: Tal
  full_name: Remez, Tal
  last_name: Remez
- first_name: Or
  full_name: Litany, Or
  last_name: Litany
- first_name: Raja
  full_name: Giryes, Raja
  last_name: Giryes
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Remez T, Litany O, Giryes R, Bronstein AM. Deep class-aware image denoising.
    In: <i>2017 IEEE International Conference on Image Processing (ICIP)</i>. IEEE;
    2018:1895-1899. doi:<a href="https://doi.org/10.1109/icip.2017.8296611">10.1109/icip.2017.8296611</a>'
  apa: 'Remez, T., Litany, O., Giryes, R., &#38; Bronstein, A. M. (2018). Deep class-aware
    image denoising. In <i>2017 IEEE International Conference on Image Processing
    (ICIP)</i> (pp. 1895–1899). Beijing, China: IEEE. <a href="https://doi.org/10.1109/icip.2017.8296611">https://doi.org/10.1109/icip.2017.8296611</a>'
  chicago: Remez, Tal, Or Litany, Raja Giryes, and Alex M. Bronstein. “Deep Class-Aware
    Image Denoising.” In <i>2017 IEEE International Conference on Image Processing
    (ICIP)</i>, 1895–99. IEEE, 2018. <a href="https://doi.org/10.1109/icip.2017.8296611">https://doi.org/10.1109/icip.2017.8296611</a>.
  ieee: T. Remez, O. Litany, R. Giryes, and A. M. Bronstein, “Deep class-aware image
    denoising,” in <i>2017 IEEE International Conference on Image Processing (ICIP)</i>,
    Beijing, China, 2018, pp. 1895–1899.
  ista: Remez T, Litany O, Giryes R, Bronstein AM. 2018. Deep class-aware image denoising.
    2017 IEEE International Conference on Image Processing (ICIP). 24th IEEE International
    Conference on Image Processing, 1895–1899.
  mla: Remez, Tal, et al. “Deep Class-Aware Image Denoising.” <i>2017 IEEE International
    Conference on Image Processing (ICIP)</i>, IEEE, 2018, pp. 1895–99, doi:<a href="https://doi.org/10.1109/icip.2017.8296611">10.1109/icip.2017.8296611</a>.
  short: T. Remez, O. Litany, R. Giryes, A.M. Bronstein, in:, 2017 IEEE International
    Conference on Image Processing (ICIP), IEEE, 2018, pp. 1895–1899.
conference:
  end_date: 2017-09-20
  location: Beijing, China
  name: 24th IEEE International Conference on Image Processing
  start_date: 2017-09-17
date_created: 2024-10-15T11:20:54Z
date_published: 2018-02-22T00:00:00Z
date_updated: 2024-12-05T14:00:53Z
day: '22'
doi: 10.1109/icip.2017.8296611
extern: '1'
fulldoi: https://doi.org/10.1109/icip.2017.8296611
language:
- iso: eng
month: '02'
oa_version: None
page: 1895 - 1899
publication: 2017 IEEE International Conference on Image Processing (ICIP)
publication_identifier:
  eissn:
  - 2381-8549
  isbn:
  - '9781509021765'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Deep class-aware image denoising
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2018'
...
---
OA_place: repository
OA_type: green
_id: '22042'
abstract:
- lang: eng
  text: "We study the L p-theory for the Schrödinger operatorLa with inverse-square
    potential\r\na|x|^−2. Our main result describes when L p-based Sobolev spaces
    defined in terms of the\r\noperator (La)^s/2 agree with those defined via (−\x02)^s/2.We
    consider all regularities 0 < s < 2.\r\nIn order to make the paper self-contained,
    we also review (with proofs) multiplier theorems,\r\nLittlewood–Paley theory,
    and Hardy-type inequalities associated to the operator La."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: R.
  full_name: Killip, R.
  last_name: Killip
- first_name: C.
  full_name: Miao, C.
  last_name: Miao
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
- first_name: J.
  full_name: Zhang, J.
  last_name: Zhang
- first_name: J.
  full_name: Zheng, J.
  last_name: Zheng
citation:
  ama: Killip R, Miao C, Vişan M, Zhang J, Zheng J. Sobolev spaces adapted to the
    Schrödinger operator with inverse-square potential. <i>Mathematische Zeitschrift</i>.
    2018;288(3-4):1273-1298. doi:<a href="https://doi.org/10.1007/s00209-017-1934-8">10.1007/s00209-017-1934-8</a>
  apa: Killip, R., Miao, C., Vişan, M., Zhang, J., &#38; Zheng, J. (2018). Sobolev
    spaces adapted to the Schrödinger operator with inverse-square potential. <i>Mathematische
    Zeitschrift</i>. Springer Nature. <a href="https://doi.org/10.1007/s00209-017-1934-8">https://doi.org/10.1007/s00209-017-1934-8</a>
  chicago: Killip, R., C. Miao, Monica Vişan, J. Zhang, and J. Zheng. “Sobolev Spaces
    Adapted to the Schrödinger Operator with Inverse-Square Potential.” <i>Mathematische
    Zeitschrift</i>. Springer Nature, 2018. <a href="https://doi.org/10.1007/s00209-017-1934-8">https://doi.org/10.1007/s00209-017-1934-8</a>.
  ieee: R. Killip, C. Miao, M. Vişan, J. Zhang, and J. Zheng, “Sobolev spaces adapted
    to the Schrödinger operator with inverse-square potential,” <i>Mathematische Zeitschrift</i>,
    vol. 288, no. 3–4. Springer Nature, pp. 1273–1298, 2018.
  ista: Killip R, Miao C, Vişan M, Zhang J, Zheng J. 2018. Sobolev spaces adapted
    to the Schrödinger operator with inverse-square potential. Mathematische Zeitschrift.
    288(3–4), 1273–1298.
  mla: Killip, R., et al. “Sobolev Spaces Adapted to the Schrödinger Operator with
    Inverse-Square Potential.” <i>Mathematische Zeitschrift</i>, vol. 288, no. 3–4,
    Springer Nature, 2018, pp. 1273–98, doi:<a href="https://doi.org/10.1007/s00209-017-1934-8">10.1007/s00209-017-1934-8</a>.
  short: R. Killip, C. Miao, M. Vişan, J. Zhang, J. Zheng, Mathematische Zeitschrift
    288 (2018) 1273–1298.
date_created: 2026-06-19T07:46:14Z
date_published: 2018-04-01T00:00:00Z
date_updated: 2026-06-25T07:36:26Z
day: '01'
doi: 10.1007/s00209-017-1934-8
extern: '1'
external_id:
  arxiv:
  - '1503.02716'
fulldoi: https://doi.org/10.1007/s00209-017-1934-8
intvolume: '       288'
issue: 3-4
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1503.02716
mathsc:
- 35P25
- 35Q55
month: '04'
oa: 1
oa_version: Preprint
page: 1273-1298
publication: Mathematische Zeitschrift
publication_identifier:
  eissn:
  - 1432-1823
  issn:
  - 0025-5874
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 288
year: '2018'
...
---
OA_place: repository
OA_type: green
_id: '22045'
abstract:
- lang: eng
  text: "We consider the initial-value problem for the cubic-quintic nonlinear Schrödinger
    equation (\U0001D456\U0001D715\U0001D461+Δ)⁢\U0001D713 =\U0001D6FC1⁢\U0001D713
    −\U0001D6FC3⁢|\U0001D713|2⁢\U0001D713 +\U0001D6FC5⁢|\U0001D713|4⁢\U0001D713 in
    three spatial dimensions in the class of solutions with |\U0001D713⁡(\U0001D465)|
    →\U0001D450 >0 as |\U0001D465| →∞. Here \U0001D6FC1, \U0001D6FC3, \U0001D6FC5,
    and \U0001D450 are such that \U0001D713⁡(\U0001D465) ≡\U0001D450 is an energetically
    stable equilibrium solution to this equation. Normalizing the boundary condition
    to \U0001D713⁡(\U0001D465) →1 as |\U0001D465| →∞, we study the associated initial-value
    problem for \U0001D462 =\U0001D713 −1 and prove a scattering result for small
    initial data in a weighted Sobolev space."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Jason
  full_name: Murphy, Jason
  last_name: Murphy
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Killip R, Murphy J, Vişan M. The initial-value problem for the cubic-quintic
    NLS with nonvanishing boundary conditions. <i>SIAM Journal on Mathematical Analysis</i>.
    2018;50(3):2681-2739. doi:<a href="https://doi.org/10.1137/17m1116702">10.1137/17m1116702</a>
  apa: Killip, R., Murphy, J., &#38; Vişan, M. (2018). The initial-value problem for
    the cubic-quintic NLS with nonvanishing boundary conditions. <i>SIAM Journal on
    Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics. <a
    href="https://doi.org/10.1137/17m1116702">https://doi.org/10.1137/17m1116702</a>
  chicago: Killip, Rowan, Jason Murphy, and Monica Vişan. “The Initial-Value Problem
    for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions.” <i>SIAM Journal
    on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics,
    2018. <a href="https://doi.org/10.1137/17m1116702">https://doi.org/10.1137/17m1116702</a>.
  ieee: R. Killip, J. Murphy, and M. Vişan, “The initial-value problem for the cubic-quintic
    NLS with nonvanishing boundary conditions,” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 50, no. 3. Society for Industrial &#38; Applied Mathematics, pp. 2681–2739,
    2018.
  ista: Killip R, Murphy J, Vişan M. 2018. The initial-value problem for the cubic-quintic
    NLS with nonvanishing boundary conditions. SIAM Journal on Mathematical Analysis.
    50(3), 2681–2739.
  mla: Killip, Rowan, et al. “The Initial-Value Problem for the Cubic-Quintic NLS
    with Nonvanishing Boundary Conditions.” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 50, no. 3, Society for Industrial &#38; Applied Mathematics, 2018, pp. 2681–739,
    doi:<a href="https://doi.org/10.1137/17m1116702">10.1137/17m1116702</a>.
  short: R. Killip, J. Murphy, M. Vişan, SIAM Journal on Mathematical Analysis 50
    (2018) 2681–2739.
das_tickbox: '1'
date_created: 2026-06-19T07:49:03Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2026-06-25T07:49:21Z
day: '01'
doi: 10.1137/17m1116702
extern: '1'
external_id:
  arxiv:
  - '1702.04413'
fulldoi: https://doi.org/10.1137/17m1116702
intvolume: '        50'
issue: '3'
keyword:
- cubic-quintic NLS
- nonvanishing boundary conditions
- space-time resonances
- scattering
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1702.04413
mathsc:
- 35Q55
month: '01'
oa: 1
oa_version: Preprint
page: 2681-2739
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
  issn:
  - 0036-1410
  - 1095-7154
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: The initial-value problem for the cubic-quintic NLS with nonvanishing boundary
  conditions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 50
year: '2018'
...
---
OA_place: repository
OA_type: green
_id: '22055'
abstract:
- lang: eng
  text: We present a general method for obtaining conservation laws for integrable
    PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV.
    Our method works uniformly for these problems posed both on the line and on the
    circle.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
- first_name: Xiaoyi
  full_name: Zhang, Xiaoyi
  last_name: Zhang
citation:
  ama: Killip R, Vişan M, Zhang X. Low regularity conservation laws for integrable
    PDE. <i>Geometric and Functional Analysis</i>. 2018;28(4):1062-1090. doi:<a href="https://doi.org/10.1007/s00039-018-0444-0">10.1007/s00039-018-0444-0</a>
  apa: Killip, R., Vişan, M., &#38; Zhang, X. (2018). Low regularity conservation
    laws for integrable PDE. <i>Geometric and Functional Analysis</i>. Springer Nature.
    <a href="https://doi.org/10.1007/s00039-018-0444-0">https://doi.org/10.1007/s00039-018-0444-0</a>
  chicago: Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Low Regularity Conservation
    Laws for Integrable PDE.” <i>Geometric and Functional Analysis</i>. Springer Nature,
    2018. <a href="https://doi.org/10.1007/s00039-018-0444-0">https://doi.org/10.1007/s00039-018-0444-0</a>.
  ieee: R. Killip, M. Vişan, and X. Zhang, “Low regularity conservation laws for integrable
    PDE,” <i>Geometric and Functional Analysis</i>, vol. 28, no. 4. Springer Nature,
    pp. 1062–1090, 2018.
  ista: Killip R, Vişan M, Zhang X. 2018. Low regularity conservation laws for integrable
    PDE. Geometric and Functional Analysis. 28(4), 1062–1090.
  mla: Killip, Rowan, et al. “Low Regularity Conservation Laws for Integrable PDE.”
    <i>Geometric and Functional Analysis</i>, vol. 28, no. 4, Springer Nature, 2018,
    pp. 1062–90, doi:<a href="https://doi.org/10.1007/s00039-018-0444-0">10.1007/s00039-018-0444-0</a>.
  short: R. Killip, M. Vişan, X. Zhang, Geometric and Functional Analysis 28 (2018)
    1062–1090.
das_tickbox: '1'
date_created: 2026-06-19T07:56:48Z
date_published: 2018-07-01T00:00:00Z
date_updated: 2026-06-29T09:55:53Z
day: '01'
doi: 10.1007/s00039-018-0444-0
extern: '1'
external_id:
  arxiv:
  - '1708.05362'
fulldoi: https://doi.org/10.1007/s00039-018-0444-0
intvolume: '        28'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1708.05362
month: '07'
oa: 1
oa_version: Preprint
page: 1062-1090
publication: Geometric and Functional Analysis
publication_identifier:
  eissn:
  - 1420-8970
  issn:
  - 1016-443X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Low regularity conservation laws for integrable PDE
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 28
year: '2018'
...
---
OA_type: free access
_id: '22093'
abstract:
- lang: eng
  text: Nonlinear dispersive equations are models for nonlinear waves in a wide range
    of physical contexts. Mathematically they display an interplay between linear
    dispersion and nonlinear interactions, which can result in a wide range of outcomes
    from finite time blow-up to solitons and scattering. They are linked to many areas
    of mathematics and physics, ranging from integrable systems and harmonic analysis
    to fluid dynamics, geometry, general relativity and probability.
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Koch, Herbert
  last_name: Koch
- first_name: Pierre
  full_name: Raphaël, Pierre
  last_name: Raphaël
- first_name: Daniel
  full_name: Tataru, Daniel
  last_name: Tataru
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Koch H, Raphaël P, Tataru D, Vişan M. Nonlinear waves and dispersive equations.
    <i>Oberwolfach Reports</i>. 2018;14(2):1681-1745. doi:<a href="https://doi.org/10.4171/owr/2017/27">10.4171/owr/2017/27</a>
  apa: Koch, H., Raphaël, P., Tataru, D., &#38; Vişan, M. (2018). Nonlinear waves
    and dispersive equations. <i>Oberwolfach Reports</i>. EMS Press. <a href="https://doi.org/10.4171/owr/2017/27">https://doi.org/10.4171/owr/2017/27</a>
  chicago: Koch, Herbert, Pierre Raphaël, Daniel Tataru, and Monica Vişan. “Nonlinear
    Waves and Dispersive Equations.” <i>Oberwolfach Reports</i>. EMS Press, 2018.
    <a href="https://doi.org/10.4171/owr/2017/27">https://doi.org/10.4171/owr/2017/27</a>.
  ieee: H. Koch, P. Raphaël, D. Tataru, and M. Vişan, “Nonlinear waves and dispersive
    equations,” <i>Oberwolfach Reports</i>, vol. 14, no. 2. EMS Press, pp. 1681–1745,
    2018.
  ista: Koch H, Raphaël P, Tataru D, Vişan M. 2018. Nonlinear waves and dispersive
    equations. Oberwolfach Reports. 14(2), 1681–1745.
  mla: Koch, Herbert, et al. “Nonlinear Waves and Dispersive Equations.” <i>Oberwolfach
    Reports</i>, vol. 14, no. 2, EMS Press, 2018, pp. 1681–745, doi:<a href="https://doi.org/10.4171/owr/2017/27">10.4171/owr/2017/27</a>.
  short: H. Koch, P. Raphaël, D. Tataru, M. Vişan, Oberwolfach Reports 14 (2018) 1681–1745.
das_tickbox: '1'
date_created: 2026-06-19T08:55:08Z
date_published: 2018-04-28T00:00:00Z
date_updated: 2026-07-02T05:51:37Z
day: '28'
doi: 10.4171/owr/2017/27
extern: '1'
fulldoi: https://doi.org/10.4171/owr/2017/27
intvolume: '        14'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4171/OWR/2017/27
month: '04'
oa: 1
oa_version: Published Version
page: 1681-1745
publication: Oberwolfach Reports
publication_identifier:
  eissn:
  - 1660-8941
  issn:
  - 1660-8933
publication_status: published
publisher: EMS Press
quality_controlled: '1'
status: public
title: Nonlinear waves and dispersive equations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 14
year: '2018'
...
---
_id: '5992'
abstract:
- lang: eng
  text: Lamellipodia are flat membrane protrusions formed during mesenchymal motion.
    Polymerization at the leading edge assembles the actin filament network and generates
    protrusion force. How this force is supported by the network and how the assembly
    rate is shared between protrusion and network retrograde flow determines the protrusion
    rate. We use mathematical modeling to understand experiments changing the F-actin
    density in lamellipodia of B16-F1 melanoma cells by modulation of Arp2/3 complex
    activity or knockout of the formins FMNL2 and FMNL3. Cells respond to a reduction
    of density with a decrease of protrusion velocity, an increase in the ratio of
    force to filament number, but constant network assembly rate. The relation between
    protrusion force and tension gradient in the F-actin network and the density dependency
    of friction, elasticity, and viscosity of the network explain the experimental
    observations. The formins act as filament nucleators and elongators with differential
    rates. Modulation of their activity suggests an effect on network assembly rate.
    Contrary to these expectations, the effect of changes in elongator composition
    is much weaker than the consequences of the density change. We conclude that the
    force acting on the leading edge membrane is the force required to drive F-actin
    network retrograde flow.
article_processing_charge: No
author:
- first_name: Setareh
  full_name: Dolati, Setareh
  last_name: Dolati
- first_name: Frieda
  full_name: Kage, Frieda
  last_name: Kage
- first_name: Jan
  full_name: Mueller, Jan
  last_name: Mueller
- first_name: Mathias
  full_name: Müsken, Mathias
  last_name: Müsken
- first_name: Marieluise
  full_name: Kirchner, Marieluise
  last_name: Kirchner
- first_name: Gunnar
  full_name: Dittmar, Gunnar
  last_name: Dittmar
- first_name: Michael K
  full_name: Sixt, Michael K
  id: 41E9FBEA-F248-11E8-B48F-1D18A9856A87
  last_name: Sixt
  orcid: 0000-0002-6620-9179
- first_name: Klemens
  full_name: Rottner, Klemens
  last_name: Rottner
- first_name: Martin
  full_name: Falcke, Martin
  last_name: Falcke
citation:
  ama: Dolati S, Kage F, Mueller J, et al. On the relation between filament density,
    force generation, and protrusion rate in mesenchymal cell motility. <i>Molecular
    Biology of the Cell</i>. 2018;29(22):2674-2686. doi:<a href="https://doi.org/10.1091/mbc.e18-02-0082">10.1091/mbc.e18-02-0082</a>
  apa: Dolati, S., Kage, F., Mueller, J., Müsken, M., Kirchner, M., Dittmar, G., …
    Falcke, M. (2018). On the relation between filament density, force generation,
    and protrusion rate in mesenchymal cell motility. <i>Molecular Biology of the
    Cell</i>. American Society for Cell Biology. <a href="https://doi.org/10.1091/mbc.e18-02-0082">https://doi.org/10.1091/mbc.e18-02-0082</a>
  chicago: Dolati, Setareh, Frieda Kage, Jan Mueller, Mathias Müsken, Marieluise Kirchner,
    Gunnar Dittmar, Michael K Sixt, Klemens Rottner, and Martin Falcke. “On the Relation
    between Filament Density, Force Generation, and Protrusion Rate in Mesenchymal
    Cell Motility.” <i>Molecular Biology of the Cell</i>. American Society for Cell
    Biology, 2018. <a href="https://doi.org/10.1091/mbc.e18-02-0082">https://doi.org/10.1091/mbc.e18-02-0082</a>.
  ieee: S. Dolati <i>et al.</i>, “On the relation between filament density, force
    generation, and protrusion rate in mesenchymal cell motility,” <i>Molecular Biology
    of the Cell</i>, vol. 29, no. 22. American Society for Cell Biology, pp. 2674–2686,
    2018.
  ista: Dolati S, Kage F, Mueller J, Müsken M, Kirchner M, Dittmar G, Sixt MK, Rottner
    K, Falcke M. 2018. On the relation between filament density, force generation,
    and protrusion rate in mesenchymal cell motility. Molecular Biology of the Cell.
    29(22), 2674–2686.
  mla: Dolati, Setareh, et al. “On the Relation between Filament Density, Force Generation,
    and Protrusion Rate in Mesenchymal Cell Motility.” <i>Molecular Biology of the
    Cell</i>, vol. 29, no. 22, American Society for Cell Biology, 2018, pp. 2674–86,
    doi:<a href="https://doi.org/10.1091/mbc.e18-02-0082">10.1091/mbc.e18-02-0082</a>.
  short: S. Dolati, F. Kage, J. Mueller, M. Müsken, M. Kirchner, G. Dittmar, M.K.
    Sixt, K. Rottner, M. Falcke, Molecular Biology of the Cell 29 (2018) 2674–2686.
das_tickbox: '1'
date_created: 2019-02-14T12:25:47Z
date_published: 2018-11-01T00:00:00Z
date_updated: 2026-07-06T12:25:34Z
day: '01'
ddc:
- '570'
department:
- _id: MiSi
doi: 10.1091/mbc.e18-02-0082
external_id:
  isi:
  - '000455641000011'
  pmid:
  - '30156465'
file:
- access_level: open_access
  checksum: e98465b4416b3e804c47f40086932af2
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-02-14T12:34:29Z
  date_updated: 2020-07-14T12:47:15Z
  file_id: '5994'
  file_name: 2018_ASCB_Dolati.pdf
  file_size: 6668971
  relation: main_file
file_date_updated: 2020-07-14T12:47:15Z
fulldoi: https://doi.org/10.1091/mbc.e18-02-0082
has_accepted_license: '1'
intvolume: '        29'
isi: 1
issue: '22'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-sa/4.0/
month: '11'
oa: 1
oa_version: Published Version
page: 2674-2686
pmid: 1
publication: Molecular Biology of the Cell
publication_identifier:
  eissn:
  - 1939-4586
publication_status: published
publisher: American Society for Cell Biology
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the relation between filament density, force generation, and protrusion
  rate in mesenchymal cell motility
tmp:
  image: /images/cc_by_nc_sa.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
    BY-NC-SA 4.0)
  short: CC BY-NC-SA (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 29
year: '2018'
...
---
_id: '8547'
abstract:
- lang: eng
  text: The cerebral cortex contains multiple hierarchically organized areas with
    distinctive cytoarchitectonical patterns, but the cellular mechanisms underlying
    the emergence of this diversity remain unclear. Here, we have quantitatively investigated
    the neuronal output of individual progenitor cells in the ventricular zone of
    the developing mouse neocortex using a combination of methods that together circumvent
    the biases and limitations of individual approaches. We found that individual
    cortical progenitor cells show a high degree of stochasticity and generate pyramidal
    cell lineages that adopt a wide range of laminar configurations. Mathematical
    modelling these lineage data suggests that a small number of progenitor cell populations,
    each generating pyramidal cells following different stochastic developmental programs,
    suffice to generate the heterogenous complement of pyramidal cell lineages that
    collectively build the complex cytoarchitecture of the neocortex.
acknowledgement: We thank I. Andrew and S.E. Bae for excellent technical assistance,
  F. Gage for plasmids, and K. Nave (Nex-Cre) for mouse colonies. We thank members
  of the Marín and Rico laboratories for stimulating discussions and ideas. Our research
  on this topic is supported by grants from the European Research Council (ERC-2017-AdG
  787355 to O.M and ERC2016-CoG 725780 to S.H.) and Wellcome Trust (103714MA) to O.M.
  L.L. was the recipient of an EMBO long-term postdoctoral fellowship, R.B. received
  support from FWF Lise-Meitner program (M 2416) and F.K.W. was supported by an EMBO
  postdoctoral fellowship and is currently a Marie Skłodowska-Curie Fellow from the
  European Commission under the H2020 Programme.
article_processing_charge: No
author:
- first_name: Alfredo
  full_name: Llorca, Alfredo
  last_name: Llorca
- first_name: Gabriele
  full_name: Ciceri, Gabriele
  last_name: Ciceri
- first_name: Robert J
  full_name: Beattie, Robert J
  id: 2E26DF60-F248-11E8-B48F-1D18A9856A87
  last_name: Beattie
  orcid: 0000-0002-8483-8753
- first_name: Fong K.
  full_name: Wong, Fong K.
  last_name: Wong
- first_name: Giovanni
  full_name: Diana, Giovanni
  last_name: Diana
- first_name: Eleni
  full_name: Serafeimidou, Eleni
  last_name: Serafeimidou
- first_name: Marian
  full_name: Fernández-Otero, Marian
  last_name: Fernández-Otero
- first_name: Carmen
  full_name: Streicher, Carmen
  id: 36BCB99C-F248-11E8-B48F-1D18A9856A87
  last_name: Streicher
- first_name: Sebastian J.
  full_name: Arnold, Sebastian J.
  last_name: Arnold
- first_name: Martin
  full_name: Meyer, Martin
  last_name: Meyer
- first_name: Simon
  full_name: Hippenmeyer, Simon
  id: 37B36620-F248-11E8-B48F-1D18A9856A87
  last_name: Hippenmeyer
  orcid: 0000-0003-2279-1061
- first_name: Miguel
  full_name: Maravall, Miguel
  last_name: Maravall
- first_name: Oscar
  full_name: Marín, Oscar
  last_name: Marín
citation:
  ama: Llorca A, Ciceri G, Beattie RJ, et al. Heterogeneous progenitor cell behaviors
    underlie the assembly of neocortical cytoarchitecture. <i>bioRxiv</i>. doi:<a
    href="https://doi.org/10.1101/494088">10.1101/494088</a>
  apa: Llorca, A., Ciceri, G., Beattie, R. J., Wong, F. K., Diana, G., Serafeimidou,
    E., … Marín, O. (n.d.). Heterogeneous progenitor cell behaviors underlie the assembly
    of neocortical cytoarchitecture. <i>bioRxiv</i>. <a href="https://doi.org/10.1101/494088">https://doi.org/10.1101/494088</a>
  chicago: Llorca, Alfredo, Gabriele Ciceri, Robert J Beattie, Fong K. Wong, Giovanni
    Diana, Eleni Serafeimidou, Marian Fernández-Otero, et al. “Heterogeneous Progenitor
    Cell Behaviors Underlie the Assembly of Neocortical Cytoarchitecture.” <i>BioRxiv</i>,
    n.d. <a href="https://doi.org/10.1101/494088">https://doi.org/10.1101/494088</a>.
  ieee: A. Llorca <i>et al.</i>, “Heterogeneous progenitor cell behaviors underlie
    the assembly of neocortical cytoarchitecture,” <i>bioRxiv</i>. .
  ista: Llorca A, Ciceri G, Beattie RJ, Wong FK, Diana G, Serafeimidou E, Fernández-Otero
    M, Streicher C, Arnold SJ, Meyer M, Hippenmeyer S, Maravall M, Marín O. Heterogeneous
    progenitor cell behaviors underlie the assembly of neocortical cytoarchitecture.
    bioRxiv, <a href="https://doi.org/10.1101/494088">10.1101/494088</a>.
  mla: Llorca, Alfredo, et al. “Heterogeneous Progenitor Cell Behaviors Underlie the
    Assembly of Neocortical Cytoarchitecture.” <i>BioRxiv</i>, doi:<a href="https://doi.org/10.1101/494088">10.1101/494088</a>.
  short: A. Llorca, G. Ciceri, R.J. Beattie, F.K. Wong, G. Diana, E. Serafeimidou,
    M. Fernández-Otero, C. Streicher, S.J. Arnold, M. Meyer, S. Hippenmeyer, M. Maravall,
    O. Marín, BioRxiv (n.d.).
das_tickbox: '1'
date_created: 2020-09-21T12:01:50Z
date_published: 2018-12-13T00:00:00Z
date_updated: 2026-07-06T12:52:50Z
day: '13'
department:
- _id: SiHi
doi: 10.1101/494088
ec_funded: 1
fulldoi: https://doi.org/10.1101/494088
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1101/494088
month: '12'
oa: 1
oa_version: Preprint
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: 264E56E2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: M02416
  name: Molecular Mechanisms Regulating Gliogenesis in the Neocortex
publication: bioRxiv
publication_status: submitted
status: public
title: Heterogeneous progenitor cell behaviors underlie the assembly of neocortical
  cytoarchitecture
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2018'
...
---
OA_place: publisher
OA_type: diamond
_id: '10286'
abstract:
- lang: eng
  text: 'In this paper, we evaluate clock signals generated in ring oscillators and
    self-timed rings and the way their jitter can be transformed into random numbers.
    We show that counting the periods of the jittery clock signal produces random
    numbers of significantly better quality than the methods in which the jittery
    signal is simply sampled (the case in almost all current methods). Moreover, we
    use the counter values to characterize and continuously monitor the source of
    randomness. However, instead of using the widely used statistical variance, we
    propose to use Allan variance to do so. There are two main advantages: Allan variance
    is insensitive to low frequency noises such as flicker noise that are known to
    be autocorrelated and significantly less circuitry is required for its computation
    than that used to compute commonly used variance. We also show that it is essential
    to use a differential principle of randomness extraction from the jitter based
    on the use of two identical oscillators to avoid autocorrelations originating
    from external and internal global jitter sources and that this fact is valid for
    both kinds of rings. Last but not least, we propose a method of statistical testing
    based on high order Markov model to show the reduced dependencies when the proposed
    randomness extraction is applied.'
article_processing_charge: No
article_type: original
author:
- first_name: Elie Noumon
  full_name: Allini, Elie Noumon
  last_name: Allini
- first_name: Maciej
  full_name: Skórski, Maciej
  id: EC09FA6A-02D0-11E9-8223-86B7C91467DD
  last_name: Skórski
- first_name: Oto
  full_name: Petura, Oto
  last_name: Petura
- first_name: Florent
  full_name: Bernard, Florent
  last_name: Bernard
- first_name: Marek
  full_name: Laban, Marek
  last_name: Laban
- first_name: Viktor
  full_name: Fischer, Viktor
  last_name: Fischer
citation:
  ama: Allini EN, Skórski M, Petura O, Bernard F, Laban M, Fischer V. Evaluation and
    monitoring of free running oscillators serving as source of randomness. <i>IACR
    Transactions on Cryptographic Hardware and Embedded Systems</i>. 2018;2018(3):214-242.
    doi:<a href="https://doi.org/10.13154/tches.v2018.i3.214-242">10.13154/tches.v2018.i3.214-242</a>
  apa: Allini, E. N., Skórski, M., Petura, O., Bernard, F., Laban, M., &#38; Fischer,
    V. (2018). Evaluation and monitoring of free running oscillators serving as source
    of randomness. <i>IACR Transactions on Cryptographic Hardware and Embedded Systems</i>.
    International Association for Cryptologic Research. <a href="https://doi.org/10.13154/tches.v2018.i3.214-242">https://doi.org/10.13154/tches.v2018.i3.214-242</a>
  chicago: Allini, Elie Noumon, Maciej Skórski, Oto Petura, Florent Bernard, Marek
    Laban, and Viktor Fischer. “Evaluation and Monitoring of Free Running Oscillators
    Serving as Source of Randomness.” <i>IACR Transactions on Cryptographic Hardware
    and Embedded Systems</i>. International Association for Cryptologic Research,
    2018. <a href="https://doi.org/10.13154/tches.v2018.i3.214-242">https://doi.org/10.13154/tches.v2018.i3.214-242</a>.
  ieee: E. N. Allini, M. Skórski, O. Petura, F. Bernard, M. Laban, and V. Fischer,
    “Evaluation and monitoring of free running oscillators serving as source of randomness,”
    <i>IACR Transactions on Cryptographic Hardware and Embedded Systems</i>, vol.
    2018, no. 3. International Association for Cryptologic Research, pp. 214–242,
    2018.
  ista: Allini EN, Skórski M, Petura O, Bernard F, Laban M, Fischer V. 2018. Evaluation
    and monitoring of free running oscillators serving as source of randomness. IACR
    Transactions on Cryptographic Hardware and Embedded Systems. 2018(3), 214–242.
  mla: Allini, Elie Noumon, et al. “Evaluation and Monitoring of Free Running Oscillators
    Serving as Source of Randomness.” <i>IACR Transactions on Cryptographic Hardware
    and Embedded Systems</i>, vol. 2018, no. 3, International Association for Cryptologic
    Research, 2018, pp. 214–42, doi:<a href="https://doi.org/10.13154/tches.v2018.i3.214-242">10.13154/tches.v2018.i3.214-242</a>.
  short: E.N. Allini, M. Skórski, O. Petura, F. Bernard, M. Laban, V. Fischer, IACR
    Transactions on Cryptographic Hardware and Embedded Systems 2018 (2018) 214–242.
corr_author: '1'
das_tickbox: '1'
date_created: 2021-11-14T23:01:25Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2026-07-06T13:16:35Z
day: '01'
ddc:
- '000'
department:
- _id: KrPi
doi: 10.13154/tches.v2018.i3.214-242
file:
- access_level: open_access
  checksum: b816b848f046c48a8357700d9305dce5
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-11-15T10:27:29Z
  date_updated: 2021-11-15T10:27:29Z
  file_id: '10289'
  file_name: 2018_IACR_Allini.pdf
  file_size: 955755
  relation: main_file
  success: 1
file_date_updated: 2021-11-15T10:27:29Z
fulldoi: https://doi.org/10.13154/tches.v2018.i3.214-242
has_accepted_license: '1'
intvolume: '      2018'
issue: '3'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 214-242
publication: IACR Transactions on Cryptographic Hardware and Embedded Systems
publication_identifier:
  eissn:
  - 2569-2925
publication_status: published
publisher: International Association for Cryptologic Research
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evaluation and monitoring of free running oscillators serving as source of
  randomness
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: 2018
year: '2018'
...
---
_id: '5995'
abstract:
- lang: eng
  text: "Motivation\r\nComputational prediction of the effect of mutations on protein
    stability is used by researchers in many fields. The utility of the prediction
    methods is affected by their accuracy and bias. Bias, a systematic shift of the
    predicted change of stability, has been noted as an issue for several methods,
    but has not been investigated systematically. Presence of the bias may lead to
    misleading results especially when exploring the effects of combination of different
    mutations.\r\n\r\nResults\r\nHere we use a protocol to measure the bias as a function
    of the number of introduced mutations. It is based on a self-consistency test
    of the reciprocity the effect of a mutation. An advantage of the used approach
    is that it relies solely on crystal structures without experimentally measured
    stability values. We applied the protocol to four popular algorithms predicting
    change of protein stability upon mutation, FoldX, Eris, Rosetta and I-Mutant,
    and found an inherent bias. For one program, FoldX, we manage to substantially
    reduce the bias using additional relaxation by Modeller. Authors using algorithms
    for predicting effects of mutations should be aware of the bias described here."
article_processing_charge: No
author:
- first_name: Dinara R
  full_name: Usmanova, Dinara R
  last_name: Usmanova
- first_name: Natalya S
  full_name: Bogatyreva, Natalya S
  last_name: Bogatyreva
- first_name: Joan
  full_name: Ariño Bernad, Joan
  last_name: Ariño Bernad
- first_name: Aleksandra A
  full_name: Eremina, Aleksandra A
  last_name: Eremina
- first_name: Anastasiya A
  full_name: Gorshkova, Anastasiya A
  last_name: Gorshkova
- first_name: German M
  full_name: Kanevskiy, German M
  last_name: Kanevskiy
- first_name: Lyubov R
  full_name: Lonishin, Lyubov R
  last_name: Lonishin
- first_name: Alexander V
  full_name: Meister, Alexander V
  last_name: Meister
- first_name: Alisa G
  full_name: Yakupova, Alisa G
  last_name: Yakupova
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Dmitry
  full_name: Ivankov, Dmitry
  id: 49FF1036-F248-11E8-B48F-1D18A9856A87
  last_name: Ivankov
  orcid: 0000-0002-8224-4118
citation:
  ama: Usmanova DR, Bogatyreva NS, Ariño Bernad J, et al. Self-consistency test reveals
    systematic bias in programs for prediction change of stability upon mutation.
    <i>Bioinformatics</i>. 2018;34(21):3653-3658. doi:<a href="https://doi.org/10.1093/bioinformatics/bty340">10.1093/bioinformatics/bty340</a>
  apa: Usmanova, D. R., Bogatyreva, N. S., Ariño Bernad, J., Eremina, A. A., Gorshkova,
    A. A., Kanevskiy, G. M., … Ivankov, D. (2018). Self-consistency test reveals systematic
    bias in programs for prediction change of stability upon mutation. <i>Bioinformatics</i>.
    Oxford University Press. <a href="https://doi.org/10.1093/bioinformatics/bty340">https://doi.org/10.1093/bioinformatics/bty340</a>
  chicago: Usmanova, Dinara R, Natalya S Bogatyreva, Joan Ariño Bernad, Aleksandra
    A Eremina, Anastasiya A Gorshkova, German M Kanevskiy, Lyubov R Lonishin, et al.
    “Self-Consistency Test Reveals Systematic Bias in Programs for Prediction Change
    of Stability upon Mutation.” <i>Bioinformatics</i>. Oxford University Press, 2018.
    <a href="https://doi.org/10.1093/bioinformatics/bty340">https://doi.org/10.1093/bioinformatics/bty340</a>.
  ieee: D. R. Usmanova <i>et al.</i>, “Self-consistency test reveals systematic bias
    in programs for prediction change of stability upon mutation,” <i>Bioinformatics</i>,
    vol. 34, no. 21. Oxford University Press, pp. 3653–3658, 2018.
  ista: Usmanova DR, Bogatyreva NS, Ariño Bernad J, Eremina AA, Gorshkova AA, Kanevskiy
    GM, Lonishin LR, Meister AV, Yakupova AG, Kondrashov F, Ivankov D. 2018. Self-consistency
    test reveals systematic bias in programs for prediction change of stability upon
    mutation. Bioinformatics. 34(21), 3653–3658.
  mla: Usmanova, Dinara R., et al. “Self-Consistency Test Reveals Systematic Bias
    in Programs for Prediction Change of Stability upon Mutation.” <i>Bioinformatics</i>,
    vol. 34, no. 21, Oxford University Press, 2018, pp. 3653–58, doi:<a href="https://doi.org/10.1093/bioinformatics/bty340">10.1093/bioinformatics/bty340</a>.
  short: D.R. Usmanova, N.S. Bogatyreva, J. Ariño Bernad, A.A. Eremina, A.A. Gorshkova,
    G.M. Kanevskiy, L.R. Lonishin, A.V. Meister, A.G. Yakupova, F. Kondrashov, D.
    Ivankov, Bioinformatics 34 (2018) 3653–3658.
das_tickbox: '1'
date_created: 2019-02-14T12:48:00Z
date_published: 2018-11-01T00:00:00Z
date_updated: 2026-07-06T13:48:02Z
day: '01'
ddc:
- '570'
department:
- _id: FyKo
doi: 10.1093/bioinformatics/bty340
ec_funded: 1
external_id:
  isi:
  - '000450038900008'
  pmid:
  - '29722803'
file:
- access_level: open_access
  checksum: 7e0495153f44211479674601d7f6ee03
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-02-14T13:00:55Z
  date_updated: 2020-07-14T12:47:15Z
  file_id: '5997'
  file_name: 2018_Oxford_Usmanova.pdf
  file_size: 291969
  relation: main_file
file_date_updated: 2020-07-14T12:47:15Z
fulldoi: https://doi.org/10.1093/bioinformatics/bty340
has_accepted_license: '1'
intvolume: '        34'
isi: 1
issue: '21'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '11'
oa: 1
oa_version: Published Version
page: 3653-3658
pmid: 1
project:
- _id: 26120F5C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '335980'
  name: Systematic investigation of epistasis in molecular evolution
publication: Bioinformatics
publication_identifier:
  eissn:
  - 1367-4811
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Self-consistency test reveals systematic bias in programs for prediction change
  of stability upon mutation
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2018'
...
---
_id: '404'
abstract:
- lang: eng
  text: "We construct martingale solutions to stochastic thin-film equations by introducing
    a (spatial) semidiscretization and establishing convergence. The discrete scheme
    allows for variants of the energy and entropy estimates in the continuous setting
    as long as the discrete energy does not exceed certain threshold values depending
    on the spatial grid size $h$. Using a stopping time argument to prolongate high-energy
    paths constant in time, arbitrary moments of coupled energy/entropy functionals
    can be controlled. Having established Hölder regularity of approximate solutions,
    the convergence proof is then based on compactness arguments---in particular on
    Jakubowski's generalization of Skorokhod's theorem---weak convergence methods,
    and recent tools on martingale convergence.\r\n\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Julian L
  full_name: Fischer, Julian L
  id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
  last_name: Fischer
  orcid: 0000-0002-0479-558X
- first_name: Günther
  full_name: Grün, Günther
  last_name: Grün
citation:
  ama: Fischer JL, Grün G. Existence of positive solutions to stochastic thin-film
    equations. <i>SIAM Journal on Mathematical Analysis</i>. 2018;50(1):411-455. doi:<a
    href="https://doi.org/10.1137/16M1098796">10.1137/16M1098796</a>
  apa: Fischer, J. L., &#38; Grün, G. (2018). Existence of positive solutions to stochastic
    thin-film equations. <i>SIAM Journal on Mathematical Analysis</i>. Society for
    Industrial and Applied Mathematics. <a href="https://doi.org/10.1137/16M1098796">https://doi.org/10.1137/16M1098796</a>
  chicago: Fischer, Julian L, and Günther Grün. “Existence of Positive Solutions to
    Stochastic Thin-Film Equations.” <i>SIAM Journal on Mathematical Analysis</i>.
    Society for Industrial and Applied Mathematics, 2018. <a href="https://doi.org/10.1137/16M1098796">https://doi.org/10.1137/16M1098796</a>.
  ieee: J. L. Fischer and G. Grün, “Existence of positive solutions to stochastic
    thin-film equations,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no.
    1. Society for Industrial and Applied Mathematics, pp. 411–455, 2018.
  ista: Fischer JL, Grün G. 2018. Existence of positive solutions to stochastic thin-film
    equations. SIAM Journal on Mathematical Analysis. 50(1), 411–455.
  mla: Fischer, Julian L., and Günther Grün. “Existence of Positive Solutions to Stochastic
    Thin-Film Equations.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no.
    1, Society for Industrial and Applied Mathematics, 2018, pp. 411–55, doi:<a href="https://doi.org/10.1137/16M1098796">10.1137/16M1098796</a>.
  short: J.L. Fischer, G. Grün, SIAM Journal on Mathematical Analysis 50 (2018) 411–455.
corr_author: '1'
das_tickbox: '1'
date_created: 2018-12-11T11:46:17Z
date_published: 2018-01-30T00:00:00Z
date_updated: 2026-07-06T14:01:18Z
day: '30'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1137/16M1098796
external_id:
  isi:
  - '000426630900015'
file:
- access_level: open_access
  checksum: 89a8eae7c52bb356c04f52b44bff4b5a
  content_type: application/pdf
  creator: dernst
  date_created: 2019-11-07T12:20:25Z
  date_updated: 2020-07-14T12:46:22Z
  file_id: '6992'
  file_name: 2018_SIAM_Fischer.pdf
  file_size: 557338
  relation: main_file
file_date_updated: 2020-07-14T12:46:22Z
fulldoi: https://doi.org/10.1137/16M1098796
has_accepted_license: '1'
intvolume: '        50'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 411 - 455
publication: SIAM Journal on Mathematical Analysis
publication_status: published
publisher: Society for Industrial and Applied Mathematics
publist_id: '7425'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Existence of positive solutions to stochastic thin-film equations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 50
year: '2018'
...
---
_id: '181'
abstract:
- lang: eng
  text: We consider large random matrices X with centered, independent entries but
    possibly di erent variances. We compute the normalized trace of f(X)g(X∗) for
    f, g functions analytic on the spectrum of X. We use these results to compute
    the long time asymptotics for systems of coupled di erential equations with random
    coe cients. We show that when the coupling is critical, the norm squared of the
    solution decays like t−1/2.
acknowledgement: The work of the second author was also partially supported by the
  Hausdorff Center of Mathematics.
article_processing_charge: No
arxiv: 1
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Torben H
  full_name: Krüger, Torben H
  id: 3020C786-F248-11E8-B48F-1D18A9856A87
  last_name: Krüger
  orcid: 0000-0002-4821-3297
- first_name: David T
  full_name: Renfrew, David T
  id: 4845BF6A-F248-11E8-B48F-1D18A9856A87
  last_name: Renfrew
  orcid: 0000-0003-3493-121X
citation:
  ama: Erdös L, Krüger TH, Renfrew DT. Power law decay for systems of randomly coupled
    differential equations. <i>SIAM Journal on Mathematical Analysis</i>. 2018;50(3):3271-3290.
    doi:<a href="https://doi.org/10.1137/17M1143125">10.1137/17M1143125</a>
  apa: Erdös, L., Krüger, T. H., &#38; Renfrew, D. T. (2018). Power law decay for
    systems of randomly coupled differential equations. <i>SIAM Journal on Mathematical
    Analysis</i>. Society for Industrial and Applied Mathematics. <a href="https://doi.org/10.1137/17M1143125">https://doi.org/10.1137/17M1143125</a>
  chicago: Erdös, László, Torben H Krüger, and David T Renfrew. “Power Law Decay for
    Systems of Randomly Coupled Differential Equations.” <i>SIAM Journal on Mathematical
    Analysis</i>. Society for Industrial and Applied Mathematics, 2018. <a href="https://doi.org/10.1137/17M1143125">https://doi.org/10.1137/17M1143125</a>.
  ieee: L. Erdös, T. H. Krüger, and D. T. Renfrew, “Power law decay for systems of
    randomly coupled differential equations,” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 50, no. 3. Society for Industrial and Applied Mathematics, pp. 3271–3290,
    2018.
  ista: Erdös L, Krüger TH, Renfrew DT. 2018. Power law decay for systems of randomly
    coupled differential equations. SIAM Journal on Mathematical Analysis. 50(3),
    3271–3290.
  mla: Erdös, László, et al. “Power Law Decay for Systems of Randomly Coupled Differential
    Equations.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 3, Society
    for Industrial and Applied Mathematics, 2018, pp. 3271–90, doi:<a href="https://doi.org/10.1137/17M1143125">10.1137/17M1143125</a>.
  short: L. Erdös, T.H. Krüger, D.T. Renfrew, SIAM Journal on Mathematical Analysis
    50 (2018) 3271–3290.
das_tickbox: '1'
date_created: 2018-12-11T11:45:03Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2026-07-06T14:02:06Z
day: '01'
ddc:
- '500'
department:
- _id: LaEr
doi: 10.1137/17M1143125
ec_funded: 1
external_id:
  arxiv:
  - '1708.01546'
  isi:
  - '000437018500032'
fulldoi: https://doi.org/10.1137/17M1143125
intvolume: '        50'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1708.01546
month: '01'
oa: 1
oa_version: Published Version
page: 3271 - 3290
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '338804'
  name: Random matrices, universality and disordered quantum systems
- _id: 258F40A4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: M02080
  name: Structured Non-Hermitian Random Matrices
publication: SIAM Journal on Mathematical Analysis
publication_status: published
publisher: Society for Industrial and Applied Mathematics
publist_id: '7740'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Power law decay for systems of randomly coupled differential equations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 50
year: '2018'
...
---
_id: '312'
abstract:
- lang: eng
  text: Motivated by biological questions, we study configurations of equal spheres
    that neither pack nor cover. Placing their centers on a lattice, we define the
    soft density of the configuration by penalizing multiple overlaps. Considering
    the 1-parameter family of diagonally distorted 3-dimensional integer lattices,
    we show that the soft density is maximized at the FCC lattice.
acknowledgement: This work was partially supported by the DFG Collaborative Research
  Center TRR 109, “Discretization in Geometry and Dynamics,” through grant I02979-N35
  of the Austrian Science Fund (FWF).
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Mabel
  full_name: Iglesias Ham, Mabel
  id: 41B58C0C-F248-11E8-B48F-1D18A9856A87
  last_name: Iglesias Ham
citation:
  ama: Edelsbrunner H, Iglesias Ham M. On the optimality of the FCC lattice for soft
    sphere packing. <i>SIAM J Discrete Math</i>. 2018;32(1):750-782. doi:<a href="https://doi.org/10.1137/16M1097201">10.1137/16M1097201</a>
  apa: Edelsbrunner, H., &#38; Iglesias Ham, M. (2018). On the optimality of the FCC
    lattice for soft sphere packing. <i>SIAM J Discrete Math</i>. Society for Industrial
    and Applied Mathematics. <a href="https://doi.org/10.1137/16M1097201">https://doi.org/10.1137/16M1097201</a>
  chicago: Edelsbrunner, Herbert, and Mabel Iglesias Ham. “On the Optimality of the
    FCC Lattice for Soft Sphere Packing.” <i>SIAM J Discrete Math</i>. Society for
    Industrial and Applied Mathematics, 2018. <a href="https://doi.org/10.1137/16M1097201">https://doi.org/10.1137/16M1097201</a>.
  ieee: H. Edelsbrunner and M. Iglesias Ham, “On the optimality of the FCC lattice
    for soft sphere packing,” <i>SIAM J Discrete Math</i>, vol. 32, no. 1. Society
    for Industrial and Applied Mathematics, pp. 750–782, 2018.
  ista: Edelsbrunner H, Iglesias Ham M. 2018. On the optimality of the FCC lattice
    for soft sphere packing. SIAM J Discrete Math. 32(1), 750–782.
  mla: Edelsbrunner, Herbert, and Mabel Iglesias Ham. “On the Optimality of the FCC
    Lattice for Soft Sphere Packing.” <i>SIAM J Discrete Math</i>, vol. 32, no. 1,
    Society for Industrial and Applied Mathematics, 2018, pp. 750–82, doi:<a href="https://doi.org/10.1137/16M1097201">10.1137/16M1097201</a>.
  short: H. Edelsbrunner, M. Iglesias Ham, SIAM J Discrete Math 32 (2018) 750–782.
das_tickbox: '1'
date_created: 2018-12-11T11:45:46Z
date_published: 2018-03-29T00:00:00Z
date_updated: 2026-07-06T14:00:50Z
day: '29'
department:
- _id: HeEd
doi: 10.1137/16M1097201
external_id:
  isi:
  - '000428958900038'
fulldoi: https://doi.org/10.1137/16M1097201
intvolume: '        32'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://pdfs.semanticscholar.org/d2d5/6da00fbc674e6a8b1bb9d857167e54200dc6.pdf
month: '03'
oa: 1
oa_version: Submitted Version
page: 750 - 782
project:
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: I02979-N35
  name: Persistence and stability of geometric complexes
publication: SIAM J Discrete Math
publication_identifier:
  issn:
  - 0895-4801
publication_status: published
publisher: Society for Industrial and Applied Mathematics
publist_id: '7553'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the optimality of the FCC lattice for soft sphere packing
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 32
year: '2018'
...
