---
OA_place: publisher
OA_type: hybrid
_id: '17962'
abstract:
- lang: eng
  text: We examine structure–function relationships in a series of N-phenylbenzamide
    (NPBA) derivatives by using computational modeling to identify molecular structures
    that exhibit both rectification and good conductance together with experimental
    studies of bias-dependent single molecule conductance and rectification behavior
    using the scanning tunneling microscopy break-junction technique. From a large
    number of computationally screened molecular diode structures, we have identified
    NPBA as a promising candidate, relative to the other structures that were screened.
    We demonstrate experimentally that conductance and rectification are both enhanced
    by functionalization of the NPBA 4-carboxamido-aniline moiety with electron donating
    methoxy groups, and are strongly correlated with the energy of the conducting
    frontier orbital relative to the Fermi level of the gold leads used in break-junction
    experiments.
article_processing_charge: No
article_type: original
author:
- first_name: Christopher
  full_name: Koenigsmann, Christopher
  last_name: Koenigsmann
- first_name: Wendu
  full_name: Ding, Wendu
  last_name: Ding
- first_name: Matthieu
  full_name: Koepf, Matthieu
  last_name: Koepf
- first_name: Arunabh
  full_name: Batra, Arunabh
  last_name: Batra
- first_name: Latha
  full_name: Venkataraman, Latha
  id: 9ebb78a5-cc0d-11ee-8322-fae086a32caf
  last_name: Venkataraman
  orcid: 0000-0002-6957-6089
- first_name: Christian F. A.
  full_name: Negre, Christian F. A.
  last_name: Negre
- first_name: Gary W.
  full_name: Brudvig, Gary W.
  last_name: Brudvig
- first_name: Robert H.
  full_name: Crabtree, Robert H.
  last_name: Crabtree
- first_name: Victor S.
  full_name: Batista, Victor S.
  last_name: Batista
- first_name: Charles A.
  full_name: Schmuttenmaer, Charles A.
  last_name: Schmuttenmaer
citation:
  ama: Koenigsmann C, Ding W, Koepf M, et al. Structure–function relationships in
    single molecule rectification by N-phenylbenzamide derivatives. <i>New Journal
    of Chemistry</i>. 2016;40(9):7373-7378. doi:<a href="https://doi.org/10.1039/c6nj00870d">10.1039/c6nj00870d</a>
  apa: Koenigsmann, C., Ding, W., Koepf, M., Batra, A., Venkataraman, L., Negre, C.
    F. A., … Schmuttenmaer, C. A. (2016). Structure–function relationships in single
    molecule rectification by N-phenylbenzamide derivatives. <i>New Journal of Chemistry</i>.
    Royal Society of Chemistry. <a href="https://doi.org/10.1039/c6nj00870d">https://doi.org/10.1039/c6nj00870d</a>
  chicago: Koenigsmann, Christopher, Wendu Ding, Matthieu Koepf, Arunabh Batra, Latha
    Venkataraman, Christian F. A. Negre, Gary W. Brudvig, Robert H. Crabtree, Victor
    S. Batista, and Charles A. Schmuttenmaer. “Structure–Function Relationships in
    Single Molecule Rectification by N-Phenylbenzamide Derivatives.” <i>New Journal
    of Chemistry</i>. Royal Society of Chemistry, 2016. <a href="https://doi.org/10.1039/c6nj00870d">https://doi.org/10.1039/c6nj00870d</a>.
  ieee: C. Koenigsmann <i>et al.</i>, “Structure–function relationships in single
    molecule rectification by N-phenylbenzamide derivatives,” <i>New Journal of Chemistry</i>,
    vol. 40, no. 9. Royal Society of Chemistry, pp. 7373–7378, 2016.
  ista: Koenigsmann C, Ding W, Koepf M, Batra A, Venkataraman L, Negre CFA, Brudvig
    GW, Crabtree RH, Batista VS, Schmuttenmaer CA. 2016. Structure–function relationships
    in single molecule rectification by N-phenylbenzamide derivatives. New Journal
    of Chemistry. 40(9), 7373–7378.
  mla: Koenigsmann, Christopher, et al. “Structure–Function Relationships in Single
    Molecule Rectification by N-Phenylbenzamide Derivatives.” <i>New Journal of Chemistry</i>,
    vol. 40, no. 9, Royal Society of Chemistry, 2016, pp. 7373–78, doi:<a href="https://doi.org/10.1039/c6nj00870d">10.1039/c6nj00870d</a>.
  short: C. Koenigsmann, W. Ding, M. Koepf, A. Batra, L. Venkataraman, C.F.A. Negre,
    G.W. Brudvig, R.H. Crabtree, V.S. Batista, C.A. Schmuttenmaer, New Journal of
    Chemistry 40 (2016) 7373–7378.
date_created: 2024-09-09T09:36:47Z
date_published: 2016-06-30T00:00:00Z
date_updated: 2024-12-18T09:37:58Z
day: '30'
doi: 10.1039/c6nj00870d
extern: '1'
intvolume: '        40'
issue: '9'
language:
- iso: eng
month: '06'
oa_version: Published Version
page: 7373-7378
publication: New Journal of Chemistry
publication_identifier:
  eissn:
  - 1369-9261
  issn:
  - 1144-0546
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Structure–function relationships in single molecule rectification by N-phenylbenzamide
  derivatives
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/3.0/legalcode
  name: Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)
  short: CC BY-NC (3.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 40
year: '2016'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '17963'
abstract:
- lang: eng
  text: Here we examine the impact of ring conformation on the charge transport characteristics
    of cyclic pentasilane structures bound to gold electrodes in single molecule junctions.
    We investigate the conductance properties of alkylated cyclopentasilane cis and
    trans stereoisomers substituted in the 1,3-position with methylthiomethyl electrode
    binding groups using both the scanning tunneling microscope-based break junction
    technique and density functional theory based ab initio calculations. In contrast
    with the linear ones, these cyclic silanes yield lower conductance values; calculations
    reveal that the constrained dihedral geometries occurring within the ring are
    suboptimal for σ-orbital delocalization, and therefore, conductance. Theoretical
    calculations reproduce the measured conductance trends for both cis and trans
    isomers and find several distinct conformations that are likely to form stable
    molecular junctions at room temperature. Due to the weakened σ-conjugation in
    the molecule, through-space interactions are found to contribute significantly
    to the conductance. This manuscript details the vast conformational flexibility
    in cyclopentasilanes and the tremendous impact it has on controlling conductance.
article_processing_charge: Yes
article_type: original
author:
- first_name: Haixing
  full_name: Li, Haixing
  last_name: Li
- first_name: Marc H.
  full_name: Garner, Marc H.
  last_name: Garner
- first_name: Zhichun
  full_name: Shangguan, Zhichun
  last_name: Shangguan
- first_name: Qianwen
  full_name: Zheng, Qianwen
  last_name: Zheng
- first_name: Timothy A.
  full_name: Su, Timothy A.
  last_name: Su
- first_name: Madhav
  full_name: Neupane, Madhav
  last_name: Neupane
- first_name: Panpan
  full_name: Li, Panpan
  last_name: Li
- first_name: Alexandra
  full_name: Velian, Alexandra
  last_name: Velian
- first_name: Michael L.
  full_name: Steigerwald, Michael L.
  last_name: Steigerwald
- first_name: Shengxiong
  full_name: Xiao, Shengxiong
  last_name: Xiao
- first_name: Colin
  full_name: Nuckolls, Colin
  last_name: Nuckolls
- first_name: Gemma C.
  full_name: Solomon, Gemma C.
  last_name: Solomon
- first_name: Latha
  full_name: Venkataraman, Latha
  id: 9ebb78a5-cc0d-11ee-8322-fae086a32caf
  last_name: Venkataraman
  orcid: 0000-0002-6957-6089
citation:
  ama: Li H, Garner MH, Shangguan Z, et al. Conformations of cyclopentasilane stereoisomers
    control molecular junction conductance. <i>Chemical Science</i>. 2016;7(9):5657-5662.
    doi:<a href="https://doi.org/10.1039/c6sc01360k">10.1039/c6sc01360k</a>
  apa: Li, H., Garner, M. H., Shangguan, Z., Zheng, Q., Su, T. A., Neupane, M., …
    Venkataraman, L. (2016). Conformations of cyclopentasilane stereoisomers control
    molecular junction conductance. <i>Chemical Science</i>. Royal Society of Chemistry.
    <a href="https://doi.org/10.1039/c6sc01360k">https://doi.org/10.1039/c6sc01360k</a>
  chicago: Li, Haixing, Marc H. Garner, Zhichun Shangguan, Qianwen Zheng, Timothy
    A. Su, Madhav Neupane, Panpan Li, et al. “Conformations of Cyclopentasilane Stereoisomers
    Control Molecular Junction Conductance.” <i>Chemical Science</i>. Royal Society
    of Chemistry, 2016. <a href="https://doi.org/10.1039/c6sc01360k">https://doi.org/10.1039/c6sc01360k</a>.
  ieee: H. Li <i>et al.</i>, “Conformations of cyclopentasilane stereoisomers control
    molecular junction conductance,” <i>Chemical Science</i>, vol. 7, no. 9. Royal
    Society of Chemistry, pp. 5657–5662, 2016.
  ista: Li H, Garner MH, Shangguan Z, Zheng Q, Su TA, Neupane M, Li P, Velian A, Steigerwald
    ML, Xiao S, Nuckolls C, Solomon GC, Venkataraman L. 2016. Conformations of cyclopentasilane
    stereoisomers control molecular junction conductance. Chemical Science. 7(9),
    5657–5662.
  mla: Li, Haixing, et al. “Conformations of Cyclopentasilane Stereoisomers Control
    Molecular Junction Conductance.” <i>Chemical Science</i>, vol. 7, no. 9, Royal
    Society of Chemistry, 2016, pp. 5657–62, doi:<a href="https://doi.org/10.1039/c6sc01360k">10.1039/c6sc01360k</a>.
  short: H. Li, M.H. Garner, Z. Shangguan, Q. Zheng, T.A. Su, M. Neupane, P. Li, A.
    Velian, M.L. Steigerwald, S. Xiao, C. Nuckolls, G.C. Solomon, L. Venkataraman,
    Chemical Science 7 (2016) 5657–5662.
date_created: 2024-09-09T09:37:59Z
date_published: 2016-05-30T00:00:00Z
date_updated: 2024-12-18T09:51:40Z
day: '30'
doi: 10.1039/c6sc01360k
extern: '1'
intvolume: '         7'
issue: '9'
language:
- iso: eng
month: '05'
oa_version: Published Version
page: 5657-5662
publication: Chemical Science
publication_identifier:
  eissn:
  - 2041-6539
  issn:
  - 2041-6520
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Conformations of cyclopentasilane stereoisomers control molecular junction
  conductance
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/3.0/legalcode
  name: Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)
  short: CC BY-NC (3.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2016'
...
---
OA_place: publisher
OA_type: hybrid
_id: '17964'
abstract:
- lang: eng
  text: Charge transfer rates at metal/organic interfaces affect the efficiencies
    of devices for organic based electronics and photovoltaics. A quantitative study
    of electron transfer rates, which take place on the femtosecond timescale, is
    often difficult, especially since in most systems the molecular adsorption geometry
    is unknown. Here, we use X-ray resonant photoemission spectroscopy to measure
    ultrafast charge transfer rates across pyridine/Au(111) interfaces while also
    controlling the molecular orientation on the metal. We demonstrate that a bi-directional
    charge transfer across the molecule/metal interface is enabled upon creation of
    a core-exciton on the molecule with a rate that has a strong dependence on the
    molecular adsorption angle. Through density functional theory calculations, we
    show that the alignment of molecular levels relative to the metal Fermi level
    is dramatically altered when a core-hole is created on the molecule, allowing
    the lowest unoccupied molecular orbital to fall partially below the metal Fermi
    level. We also calculate charge transfer rates as a function of molecular adsorption
    geometry and find a trend that agrees with the experiment. These findings thus
    give insight into the charge transfer dynamics of a photo-excited molecule on
    a metal surface.
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Dean
  full_name: Cvetko, Dean
  last_name: Cvetko
- first_name: Guido
  full_name: Fratesi, Guido
  last_name: Fratesi
- first_name: Gregor
  full_name: Kladnik, Gregor
  last_name: Kladnik
- first_name: Albano
  full_name: Cossaro, Albano
  last_name: Cossaro
- first_name: Gian Paolo
  full_name: Brivio, Gian Paolo
  last_name: Brivio
- first_name: Latha
  full_name: Venkataraman, Latha
  id: 9ebb78a5-cc0d-11ee-8322-fae086a32caf
  last_name: Venkataraman
  orcid: 0000-0002-6957-6089
- first_name: Alberto
  full_name: Morgante, Alberto
  last_name: Morgante
citation:
  ama: Cvetko D, Fratesi G, Kladnik G, et al. Ultrafast electron injection into photo-excited
    organic molecules. <i>Physical Chemistry Chemical Physics</i>. 2016;18(32):22140-22145.
    doi:<a href="https://doi.org/10.1039/c6cp04099c">10.1039/c6cp04099c</a>
  apa: Cvetko, D., Fratesi, G., Kladnik, G., Cossaro, A., Brivio, G. P., Venkataraman,
    L., &#38; Morgante, A. (2016). Ultrafast electron injection into photo-excited
    organic molecules. <i>Physical Chemistry Chemical Physics</i>. Royal Society of
    Chemistry. <a href="https://doi.org/10.1039/c6cp04099c">https://doi.org/10.1039/c6cp04099c</a>
  chicago: Cvetko, Dean, Guido Fratesi, Gregor Kladnik, Albano Cossaro, Gian Paolo
    Brivio, Latha Venkataraman, and Alberto Morgante. “Ultrafast Electron Injection
    into Photo-Excited Organic Molecules.” <i>Physical Chemistry Chemical Physics</i>.
    Royal Society of Chemistry, 2016. <a href="https://doi.org/10.1039/c6cp04099c">https://doi.org/10.1039/c6cp04099c</a>.
  ieee: D. Cvetko <i>et al.</i>, “Ultrafast electron injection into photo-excited
    organic molecules,” <i>Physical Chemistry Chemical Physics</i>, vol. 18, no. 32.
    Royal Society of Chemistry, pp. 22140–22145, 2016.
  ista: Cvetko D, Fratesi G, Kladnik G, Cossaro A, Brivio GP, Venkataraman L, Morgante
    A. 2016. Ultrafast electron injection into photo-excited organic molecules. Physical
    Chemistry Chemical Physics. 18(32), 22140–22145.
  mla: Cvetko, Dean, et al. “Ultrafast Electron Injection into Photo-Excited Organic
    Molecules.” <i>Physical Chemistry Chemical Physics</i>, vol. 18, no. 32, Royal
    Society of Chemistry, 2016, pp. 22140–45, doi:<a href="https://doi.org/10.1039/c6cp04099c">10.1039/c6cp04099c</a>.
  short: D. Cvetko, G. Fratesi, G. Kladnik, A. Cossaro, G.P. Brivio, L. Venkataraman,
    A. Morgante, Physical Chemistry Chemical Physics 18 (2016) 22140–22145.
date_created: 2024-09-09T09:39:29Z
date_published: 2016-07-14T00:00:00Z
date_updated: 2024-12-18T10:17:35Z
day: '14'
doi: 10.1039/c6cp04099c
extern: '1'
external_id:
  pmid:
  - '27444572'
intvolume: '        18'
issue: '32'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1039/C6CP04099C
month: '07'
oa: 1
oa_version: Published Version
page: 22140-22145
pmid: 1
publication: Physical Chemistry Chemical Physics
publication_identifier:
  eissn:
  - 1463-9084
  issn:
  - 1463-9076
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ultrafast electron injection into photo-excited organic molecules
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2016'
...
---
OA_type: closed access
_id: '18328'
abstract:
- lang: eng
  text: We present a novel sparse modeling approach to non-rigid shape matching using
    only the ability to detect repeatable regions. As the input to our algorithm,
    we are given only two sets of regions in two shapes; no descriptors are provided
    so the correspondence between the regions is not know, nor do we know how many
    regions correspond in the two shapes. We show that even with such scarce information,
    it is possible to establish very accurate correspondence between the shapes by
    using methods from the field of sparse modeling, being this, the first non-trivial
    use of sparse models in shape correspondence. We formulate the problem of permuted
    sparse coding, in which we solve simultaneously for an unknown permutation ordering
    the regions on two shapes and for an unknown correspondence in functional representation.
    We also propose a robust variant capable of handling incomplete matches. Numerically,
    the problem is solved efficiently by alternating the solution of a linear assignment
    and a sparse coding problem. The proposed methods are evaluated qualitatively
    and quantitatively on standard benchmarks containing both synthetic and scanned
    objects.
alternative_title:
- Mathematics and Visualization
article_processing_charge: No
author:
- first_name: Jonathan
  full_name: Pokrass, Jonathan
  last_name: Pokrass
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Michael M.
  full_name: Bronstein, Michael M.
  last_name: Bronstein
- first_name: Pablo
  full_name: Sprechmann, Pablo
  last_name: Sprechmann
- first_name: Guillermo
  full_name: Sapiro, Guillermo
  last_name: Sapiro
citation:
  ama: 'Pokrass J, Bronstein AM, Bronstein MM, Sprechmann P, Sapiro G. Sparse Models
    for Intrinsic Shape Correspondence. In: Breuß M, Bruckstein A, Maragos P, Wuhrer
    S, eds. <i>Perspectives in Shape Analysis</i>. 1st ed. Cham: Springer International
    Publishing; 2016:211-230. doi:<a href="https://doi.org/10.1007/978-3-319-24726-7_10">10.1007/978-3-319-24726-7_10</a>'
  apa: 'Pokrass, J., Bronstein, A. M., Bronstein, M. M., Sprechmann, P., &#38; Sapiro,
    G. (2016). Sparse Models for Intrinsic Shape Correspondence. In M. Breuß, A. Bruckstein,
    P. Maragos, &#38; S. Wuhrer (Eds.), <i>Perspectives in Shape Analysis</i> (1st
    ed., pp. 211–230). Cham: Springer International Publishing. <a href="https://doi.org/10.1007/978-3-319-24726-7_10">https://doi.org/10.1007/978-3-319-24726-7_10</a>'
  chicago: 'Pokrass, Jonathan, Alex M. Bronstein, Michael M. Bronstein, Pablo Sprechmann,
    and Guillermo Sapiro. “Sparse Models for Intrinsic Shape Correspondence.” In <i>Perspectives
    in Shape Analysis</i>, edited by Michael Breuß, Alfred Bruckstein, Petros Maragos,
    and Stefanie Wuhrer, 1st ed., 211–30. Cham: Springer International Publishing,
    2016. <a href="https://doi.org/10.1007/978-3-319-24726-7_10">https://doi.org/10.1007/978-3-319-24726-7_10</a>.'
  ieee: 'J. Pokrass, A. M. Bronstein, M. M. Bronstein, P. Sprechmann, and G. Sapiro,
    “Sparse Models for Intrinsic Shape Correspondence,” in <i>Perspectives in Shape
    Analysis</i>, 1st ed., M. Breuß, A. Bruckstein, P. Maragos, and S. Wuhrer, Eds.
    Cham: Springer International Publishing, 2016, pp. 211–230.'
  ista: 'Pokrass J, Bronstein AM, Bronstein MM, Sprechmann P, Sapiro G. 2016.Sparse
    Models for Intrinsic Shape Correspondence. In: Perspectives in Shape Analysis.
    Mathematics and Visualization, , 211–230.'
  mla: Pokrass, Jonathan, et al. “Sparse Models for Intrinsic Shape Correspondence.”
    <i>Perspectives in Shape Analysis</i>, edited by Michael Breuß et al., 1st ed.,
    Springer International Publishing, 2016, pp. 211–30, doi:<a href="https://doi.org/10.1007/978-3-319-24726-7_10">10.1007/978-3-319-24726-7_10</a>.
  short: J. Pokrass, A.M. Bronstein, M.M. Bronstein, P. Sprechmann, G. Sapiro, in:,
    M. Breuß, A. Bruckstein, P. Maragos, S. Wuhrer (Eds.), Perspectives in Shape Analysis,
    1st ed., Springer International Publishing, Cham, 2016, pp. 211–230.
date_created: 2024-10-15T11:20:53Z
date_published: 2016-10-01T00:00:00Z
date_updated: 2024-10-22T08:17:06Z
day: '01'
doi: 10.1007/978-3-319-24726-7_10
edition: '1'
editor:
- first_name: Michael
  full_name: Breuß, Michael
  last_name: Breuß
- first_name: Alfred
  full_name: Bruckstein, Alfred
  last_name: Bruckstein
- first_name: Petros
  full_name: Maragos, Petros
  last_name: Maragos
- first_name: Stefanie
  full_name: Wuhrer, Stefanie
  last_name: Wuhrer
extern: '1'
language:
- iso: eng
month: '10'
oa_version: None
page: 211-230
place: Cham
publication: Perspectives in Shape Analysis
publication_identifier:
  eisbn:
  - '9783319247267'
  eissn:
  - 2197-666X
  isbn:
  - '9783319247243'
  issn:
  - 1612-3786
publication_status: published
publisher: Springer International Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sparse Models for Intrinsic Shape Correspondence
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
_id: '1833'
abstract:
- lang: eng
  text: 'Relational models for contingency tables are generalizations of log-linear
    models, allowing effects associated with arbitrary subsets of cells in the table,
    and not necessarily containing the overall effect, that is, a common parameter
    in every cell. Similarly to log-linear models, relational models can be extended
    to non-negative distributions, but the extension requires more complex methods.
    An extended relational model is defined as an algebraic variety, and it turns
    out to be the closure of the original model with respect to the Bregman divergence.
    In the extended relational model, the MLE of the cell parameters always exists
    and is unique, but some of its properties may be different from those of the MLE
    under log-linear models. The MLE can be computed using a generalized iterative
    scaling procedure based on Bregman projections. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Anna
  full_name: Klimova, Anna
  id: 31934120-F248-11E8-B48F-1D18A9856A87
  last_name: Klimova
- first_name: Tamás
  full_name: Rudas, Tamás
  last_name: Rudas
citation:
  ama: Klimova A, Rudas T. On the closure of relational models. <i>Journal of Multivariate
    Analysis</i>. 2016;143:440-452. doi:<a href="https://doi.org/10.1016/j.jmva.2015.10.005">10.1016/j.jmva.2015.10.005</a>
  apa: Klimova, A., &#38; Rudas, T. (2016). On the closure of relational models. <i>Journal
    of Multivariate Analysis</i>. Elsevier. <a href="https://doi.org/10.1016/j.jmva.2015.10.005">https://doi.org/10.1016/j.jmva.2015.10.005</a>
  chicago: Klimova, Anna, and Tamás Rudas. “On the Closure of Relational Models.”
    <i>Journal of Multivariate Analysis</i>. Elsevier, 2016. <a href="https://doi.org/10.1016/j.jmva.2015.10.005">https://doi.org/10.1016/j.jmva.2015.10.005</a>.
  ieee: A. Klimova and T. Rudas, “On the closure of relational models,” <i>Journal
    of Multivariate Analysis</i>, vol. 143. Elsevier, pp. 440–452, 2016.
  ista: Klimova A, Rudas T. 2016. On the closure of relational models. Journal of
    Multivariate Analysis. 143, 440–452.
  mla: Klimova, Anna, and Tamás Rudas. “On the Closure of Relational Models.” <i>Journal
    of Multivariate Analysis</i>, vol. 143, Elsevier, 2016, pp. 440–52, doi:<a href="https://doi.org/10.1016/j.jmva.2015.10.005">10.1016/j.jmva.2015.10.005</a>.
  short: A. Klimova, T. Rudas, Journal of Multivariate Analysis 143 (2016) 440–452.
corr_author: '1'
date_created: 2018-12-11T11:54:15Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2025-09-18T10:47:32Z
day: '01'
department:
- _id: CaUh
doi: 10.1016/j.jmva.2015.10.005
external_id:
  arxiv:
  - '1501.00600'
  isi:
  - '000366885300029'
intvolume: '       143'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1501.00600
month: '01'
oa: 1
oa_version: Preprint
page: 440 - 452
publication: Journal of Multivariate Analysis
publication_status: published
publisher: Elsevier
publist_id: '5270'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the closure of relational models
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 143
year: '2016'
...
---
_id: '18361'
abstract:
- lang: eng
  text: 3D models of humans are commonly used within computer graphics and vision,
    and so the ability to distinguish between body shapes is an important shape retrieval
    problem. We extend our recent paper which provided a benchmark for testing non-rigid
    3D shape retrieval algorithms on 3D human models. This benchmark provided a far
    stricter challenge than previous shape benchmarks. We have added 145 new models
    for use as a separate training set, in order to standardise the training data
    used and provide a fairer comparison. We have also included experiments with the
    FAUST dataset of human scans. All participants of the previous benchmark study
    have taken part in the new tests reported here, many providing updated results
    using the new data. In addition, further participants have also taken part, and
    we provide extra analysis of the retrieval results. A total of 25 different shape
    retrieval methods are compared.
article_processing_charge: No
author:
- first_name: D.
  full_name: Pickup, D.
  last_name: Pickup
- first_name: X.
  full_name: Sun, X.
  last_name: Sun
- first_name: P. L.
  full_name: Rosin, P. L.
  last_name: Rosin
- first_name: R. R.
  full_name: Martin, R. R.
  last_name: Martin
- first_name: Z.
  full_name: Cheng, Z.
  last_name: Cheng
- first_name: Z.
  full_name: Lian, Z.
  last_name: Lian
- first_name: M.
  full_name: Aono, M.
  last_name: Aono
- first_name: A. Ben
  full_name: Hamza, A. Ben
  last_name: Hamza
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: M.
  full_name: Bronstein, M.
  last_name: Bronstein
- first_name: S.
  full_name: Bu, S.
  last_name: Bu
- first_name: U.
  full_name: Castellani, U.
  last_name: Castellani
- first_name: S.
  full_name: Cheng, S.
  last_name: Cheng
- first_name: V.
  full_name: Garro, V.
  last_name: Garro
- first_name: A.
  full_name: Giachetti, A.
  last_name: Giachetti
- first_name: A.
  full_name: Godil, A.
  last_name: Godil
- first_name: L.
  full_name: Isaia, L.
  last_name: Isaia
- first_name: J.
  full_name: Han, J.
  last_name: Han
- first_name: H.
  full_name: Johan, H.
  last_name: Johan
- first_name: L.
  full_name: Lai, L.
  last_name: Lai
- first_name: B.
  full_name: Li, B.
  last_name: Li
- first_name: C.
  full_name: Li, C.
  last_name: Li
- first_name: H.
  full_name: Li, H.
  last_name: Li
- first_name: R.
  full_name: Litman, R.
  last_name: Litman
- first_name: X.
  full_name: Liu, X.
  last_name: Liu
- first_name: Z.
  full_name: Liu, Z.
  last_name: Liu
- first_name: Y.
  full_name: Lu, Y.
  last_name: Lu
- first_name: L.
  full_name: Sun, L.
  last_name: Sun
- first_name: G.
  full_name: Tam, G.
  last_name: Tam
- first_name: A.
  full_name: Tatsuma, A.
  last_name: Tatsuma
- first_name: J.
  full_name: Ye, J.
  last_name: Ye
citation:
  ama: Pickup D, Sun X, Rosin PL, et al. Shape retrieval of non-rigid 3D human models.
    <i>International Journal of Computer Vision</i>. 2016;120(2):169-193. doi:<a href="https://doi.org/10.1007/s11263-016-0903-8">10.1007/s11263-016-0903-8</a>
  apa: Pickup, D., Sun, X., Rosin, P. L., Martin, R. R., Cheng, Z., Lian, Z., … Ye,
    J. (2016). Shape retrieval of non-rigid 3D human models. <i>International Journal
    of Computer Vision</i>. Springer Nature. <a href="https://doi.org/10.1007/s11263-016-0903-8">https://doi.org/10.1007/s11263-016-0903-8</a>
  chicago: Pickup, D., X. Sun, P. L. Rosin, R. R. Martin, Z. Cheng, Z. Lian, M. Aono,
    et al. “Shape Retrieval of Non-Rigid 3D Human Models.” <i>International Journal
    of Computer Vision</i>. Springer Nature, 2016. <a href="https://doi.org/10.1007/s11263-016-0903-8">https://doi.org/10.1007/s11263-016-0903-8</a>.
  ieee: D. Pickup <i>et al.</i>, “Shape retrieval of non-rigid 3D human models,” <i>International
    Journal of Computer Vision</i>, vol. 120, no. 2. Springer Nature, pp. 169–193,
    2016.
  ista: Pickup D, Sun X, Rosin PL, Martin RR, Cheng Z, Lian Z, Aono M, Hamza AB, Bronstein
    AM, Bronstein M, Bu S, Castellani U, Cheng S, Garro V, Giachetti A, Godil A, Isaia
    L, Han J, Johan H, Lai L, Li B, Li C, Li H, Litman R, Liu X, Liu Z, Lu Y, Sun
    L, Tam G, Tatsuma A, Ye J. 2016. Shape retrieval of non-rigid 3D human models.
    International Journal of Computer Vision. 120(2), 169–193.
  mla: Pickup, D., et al. “Shape Retrieval of Non-Rigid 3D Human Models.” <i>International
    Journal of Computer Vision</i>, vol. 120, no. 2, Springer Nature, 2016, pp. 169–93,
    doi:<a href="https://doi.org/10.1007/s11263-016-0903-8">10.1007/s11263-016-0903-8</a>.
  short: D. Pickup, X. Sun, P.L. Rosin, R.R. Martin, Z. Cheng, Z. Lian, M. Aono, A.B.
    Hamza, A.M. Bronstein, M. Bronstein, S. Bu, U. Castellani, S. Cheng, V. Garro,
    A. Giachetti, A. Godil, L. Isaia, J. Han, H. Johan, L. Lai, B. Li, C. Li, H. Li,
    R. Litman, X. Liu, Z. Liu, Y. Lu, L. Sun, G. Tam, A. Tatsuma, J. Ye, International
    Journal of Computer Vision 120 (2016) 169–193.
date_created: 2024-10-15T11:20:54Z
date_published: 2016-11-01T00:00:00Z
date_updated: 2024-12-18T15:13:03Z
day: '01'
doi: 10.1007/s11263-016-0903-8
extern: '1'
intvolume: '       120'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s11263-016-0903-8
month: '11'
oa: 1
oa_version: Published Version
page: 169-193
publication: International Journal of Computer Vision
publication_identifier:
  eissn:
  - 1573-1405
  issn:
  - 0920-5691
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Shape retrieval of non-rigid 3D human models
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 120
year: '2016'
...
---
_id: '18374'
abstract:
- lang: eng
  text: The L 1 norm has been tremendously popular in signal and image processing
    in the past two decades due to its sparsity-promoting properties. More recently,
    its generalization to non-Euclidean domains has been found useful in shape analysis
    applications. For example, in conjunction with the minimization of the Dirichlet
    energy, it was shown to produce a compactly supported quasi-harmonic orthonormal
    basis, dubbed as compressed manifold modes [14]. The continuous L 1 norm on the
    manifold is often replaced by the vector ℓ 1 norm applied to sampled functions.
    We show that such an approach is incorrect in the sense that it does not consistently
    discretize the continuous norm and warn against its sensitivity to the specific
    sampling. We propose two alternative discretizations resulting in an iteratively-reweighed
    ℓ 2 norm. We demonstrate the proposed strategy on the compressed modes problem,
    which reduces to a sequence of simple eigendecomposition problems not requiring
    non-convex optimization on Stiefel manifolds and producing more stable and accurate
    results.
article_number: '7785118'
article_processing_charge: No
arxiv: 1
author:
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Yoni
  full_name: Choukroun, Yoni
  last_name: Choukroun
- first_name: Ron
  full_name: Kimmel, Ron
  last_name: Kimmel
- first_name: Matan
  full_name: Sela, Matan
  last_name: Sela
citation:
  ama: 'Bronstein AM, Choukroun Y, Kimmel R, Sela M. Consistent discretization and
    minimization of the L1 norm on manifolds. In: <i>2016 Fourth International Conference
    on 3D Vision (3DV)</i>. IEEE; 2016. doi:<a href="https://doi.org/10.1109/3dv.2016.53">10.1109/3dv.2016.53</a>'
  apa: 'Bronstein, A. M., Choukroun, Y., Kimmel, R., &#38; Sela, M. (2016). Consistent
    discretization and minimization of the L1 norm on manifolds. In <i>2016 Fourth
    International Conference on 3D Vision (3DV)</i>.  Stanford, CA, United States:
    IEEE. <a href="https://doi.org/10.1109/3dv.2016.53">https://doi.org/10.1109/3dv.2016.53</a>'
  chicago: Bronstein, Alex M., Yoni Choukroun, Ron Kimmel, and Matan Sela. “Consistent
    Discretization and Minimization of the L1 Norm on Manifolds.” In <i>2016 Fourth
    International Conference on 3D Vision (3DV)</i>. IEEE, 2016. <a href="https://doi.org/10.1109/3dv.2016.53">https://doi.org/10.1109/3dv.2016.53</a>.
  ieee: A. M. Bronstein, Y. Choukroun, R. Kimmel, and M. Sela, “Consistent discretization
    and minimization of the L1 norm on manifolds,” in <i>2016 Fourth International
    Conference on 3D Vision (3DV)</i>,  Stanford, CA, United States, 2016.
  ista: Bronstein AM, Choukroun Y, Kimmel R, Sela M. 2016. Consistent discretization
    and minimization of the L1 norm on manifolds. 2016 Fourth International Conference
    on 3D Vision (3DV). 4th International Conference on 3D Vision, 7785118.
  mla: Bronstein, Alex M., et al. “Consistent Discretization and Minimization of the
    L1 Norm on Manifolds.” <i>2016 Fourth International Conference on 3D Vision (3DV)</i>,
    7785118, IEEE, 2016, doi:<a href="https://doi.org/10.1109/3dv.2016.53">10.1109/3dv.2016.53</a>.
  short: A.M. Bronstein, Y. Choukroun, R. Kimmel, M. Sela, in:, 2016 Fourth International
    Conference on 3D Vision (3DV), IEEE, 2016.
conference:
  end_date: 2016-10-28
  location: ' Stanford, CA, United States'
  name: 4th International Conference on 3D Vision
  start_date: 2016-10-25
date_created: 2024-10-15T11:20:54Z
date_published: 2016-12-19T00:00:00Z
date_updated: 2024-12-05T14:19:34Z
day: '19'
doi: 10.1109/3dv.2016.53
extern: '1'
external_id:
  arxiv:
  - '1609.05434'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1609.05434
month: '12'
oa: 1
oa_version: Preprint
publication: 2016 Fourth International Conference on 3D Vision (3DV)
publication_identifier:
  isbn:
  - '9781509054084'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Consistent discretization and minimization of the L1 norm on manifolds
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
_id: '18375'
abstract:
- lang: eng
  text: We present a method to approximate pairwise distance on a graph, having an
    amortized sub-linear complexity in its size. The proposed method follows the so
    called heat method due to Crane et al. The only additional input are the values
    of the eigenfunctions of the graph Laplacian at a subset of the vertices. Using
    these values we estimate a random walk from the source points, and normalize the
    result into a unit gradient function. The eigenfunctions are then used to synthesize
    distance values abiding by these constraints at desired locations. We show that
    this method works in practice on different types of inputs ranging from triangular
    meshes to general graphs. We also demonstrate that the resulting approximate distance
    is accurate enough to be used as the input to a recent method for intrinsic shape
    correspondence computation.
article_number: '7785125'
article_processing_charge: No
arxiv: 1
author:
- first_name: Roee
  full_name: Litman, Roee
  last_name: Litman
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Litman R, Bronstein AM. SpectroMeter: Amortized sublinear spectral approximation
    of distance on graphs. In: <i>2016 Fourth International Conference on 3D Vision
    (3DV)</i>. IEEE; 2016. doi:<a href="https://doi.org/10.1109/3dv.2016.60">10.1109/3dv.2016.60</a>'
  apa: 'Litman, R., &#38; Bronstein, A. M. (2016). SpectroMeter: Amortized sublinear
    spectral approximation of distance on graphs. In <i>2016 Fourth International
    Conference on 3D Vision (3DV)</i>. Stanford, CA, United States: IEEE. <a href="https://doi.org/10.1109/3dv.2016.60">https://doi.org/10.1109/3dv.2016.60</a>'
  chicago: 'Litman, Roee, and Alex M. Bronstein. “SpectroMeter: Amortized Sublinear
    Spectral Approximation of Distance on Graphs.” In <i>2016 Fourth International
    Conference on 3D Vision (3DV)</i>. IEEE, 2016. <a href="https://doi.org/10.1109/3dv.2016.60">https://doi.org/10.1109/3dv.2016.60</a>.'
  ieee: 'R. Litman and A. M. Bronstein, “SpectroMeter: Amortized sublinear spectral
    approximation of distance on graphs,” in <i>2016 Fourth International Conference
    on 3D Vision (3DV)</i>, Stanford, CA, United States, 2016.'
  ista: 'Litman R, Bronstein AM. 2016. SpectroMeter: Amortized sublinear spectral
    approximation of distance on graphs. 2016 Fourth International Conference on 3D
    Vision (3DV). 4th International Conference on 3D Vision, 7785125.'
  mla: 'Litman, Roee, and Alex M. Bronstein. “SpectroMeter: Amortized Sublinear Spectral
    Approximation of Distance on Graphs.” <i>2016 Fourth International Conference
    on 3D Vision (3DV)</i>, 7785125, IEEE, 2016, doi:<a href="https://doi.org/10.1109/3dv.2016.60">10.1109/3dv.2016.60</a>.'
  short: R. Litman, A.M. Bronstein, in:, 2016 Fourth International Conference on 3D
    Vision (3DV), IEEE, 2016.
conference:
  end_date: 2016-10-28
  location: Stanford, CA, United States
  name: 4th International Conference on 3D Vision
  start_date: 2016-10-25
date_created: 2024-10-15T11:20:54Z
date_published: 2016-12-19T00:00:00Z
date_updated: 2024-12-05T14:17:16Z
day: '19'
doi: 10.1109/3dv.2016.60
extern: '1'
external_id:
  arxiv:
  - '1609.05715'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1609.05715
month: '12'
oa: 1
oa_version: Preprint
publication: 2016 Fourth International Conference on 3D Vision (3DV)
publication_identifier:
  isbn:
  - '9781509054084'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'SpectroMeter: Amortized sublinear spectral approximation of distance on graphs'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
_id: '18388'
abstract:
- lang: eng
  text: The pursuit of smaller pixel sizes at ever increasing resolution in digital
    image sensors is mainly driven by the stringent price and form-factor requirements
    of sensors and optics in the cellular phone market. Recently, Eric Fossum proposed
    a novel concept of an image sensor with dense sub-diffraction limit one-bit pixels
    (jots), which can be considered a digital emulation of silver halide photographic
    film. This idea has been recently embodied as the EPFL Gigavision camera. A major
    bottleneck in the design of such sensors is the image reconstruction process,
    producing a continuous high dynamic range image from oversampled binary measurements.
    The extreme quantization of the Poisson statistics is incompatible with the assumptions
    of most standard image processing and enhancement frameworks. The recently proposed
    maximum-likelihood (ML) approach addresses this difficulty, but suffers from image
    artefacts and has impractically high computational complexity. In this work, we
    study a variant of a sensor with binary threshold pixels and propose a reconstruction
    algorithm combining an ML data fitting term with a sparse synthesis prior. We
    also show an efficient hardware-friendly real-time approximation of this inverse
    operator. Promising results are shown on synthetic data as well as on HDR data
    emulated using multiple exposures of a regular CMOS sensor.
article_number: '7492874'
article_processing_charge: No
arxiv: 1
author:
- first_name: Tal
  full_name: Remez, Tal
  last_name: Remez
- first_name: Or
  full_name: Litany, Or
  last_name: Litany
- 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, Bronstein AM. A picture is worth a billion bits: Real-time
    image reconstruction from dense binary threshold pixels. In: <i>2016 IEEE International
    Conference on Computational Photography (ICCP)</i>. IEEE; 2016. doi:<a href="https://doi.org/10.1109/iccphot.2016.7492874">10.1109/iccphot.2016.7492874</a>'
  apa: 'Remez, T., Litany, O., &#38; Bronstein, A. M. (2016). A picture is worth a
    billion bits: Real-time image reconstruction from dense binary threshold pixels.
    In <i>2016 IEEE International Conference on Computational Photography (ICCP)</i>.
    Evanston, IL, United States: IEEE. <a href="https://doi.org/10.1109/iccphot.2016.7492874">https://doi.org/10.1109/iccphot.2016.7492874</a>'
  chicago: 'Remez, Tal, Or Litany, and Alex M. Bronstein. “A Picture Is Worth a Billion
    Bits: Real-Time Image Reconstruction from Dense Binary Threshold Pixels.” In <i>2016
    IEEE International Conference on Computational Photography (ICCP)</i>. IEEE, 2016.
    <a href="https://doi.org/10.1109/iccphot.2016.7492874">https://doi.org/10.1109/iccphot.2016.7492874</a>.'
  ieee: 'T. Remez, O. Litany, and A. M. Bronstein, “A picture is worth a billion bits:
    Real-time image reconstruction from dense binary threshold pixels,” in <i>2016
    IEEE International Conference on Computational Photography (ICCP)</i>, Evanston,
    IL, United States, 2016.'
  ista: 'Remez T, Litany O, Bronstein AM. 2016. A picture is worth a billion bits:
    Real-time image reconstruction from dense binary threshold pixels. 2016 IEEE International
    Conference on Computational Photography (ICCP). IEEE International Conference
    on Computational Photography, 7492874.'
  mla: 'Remez, Tal, et al. “A Picture Is Worth a Billion Bits: Real-Time Image Reconstruction
    from Dense Binary Threshold Pixels.” <i>2016 IEEE International Conference on
    Computational Photography (ICCP)</i>, 7492874, IEEE, 2016, doi:<a href="https://doi.org/10.1109/iccphot.2016.7492874">10.1109/iccphot.2016.7492874</a>.'
  short: T. Remez, O. Litany, A.M. Bronstein, in:, 2016 IEEE International Conference
    on Computational Photography (ICCP), IEEE, 2016.
conference:
  end_date: 2016-05-15
  location: Evanston, IL, United States
  name: IEEE International Conference on Computational Photography
  start_date: 2016-05-13
date_created: 2024-10-15T11:20:54Z
date_published: 2016-06-16T00:00:00Z
date_updated: 2024-12-05T14:16:11Z
day: '16'
doi: 10.1109/iccphot.2016.7492874
extern: '1'
external_id:
  arxiv:
  - '1510.04601'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1510.04601
month: '06'
oa: 1
oa_version: Preprint
publication: 2016 IEEE International Conference on Computational Photography (ICCP)
publication_identifier:
  eisbn:
  - '9781467386234'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'A picture is worth a billion bits: Real-time image reconstruction from dense
  binary threshold pixels'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
_id: '18419'
abstract:
- lang: eng
  text: Three important properties of a classification machinery are i) the system
    preserves the core information of the input data; ii) the training examples convey
    information about unseen data; and iii) the system is able to treat differently
    points from different classes. In this paper, we show that these fundamental properties
    are satisfied by the architecture of deep neural networks. We formally prove that
    these networks with random Gaussian weights perform a distance-preserving embedding
    of the data, with a special treatment for in-class and out-of-class data. Similar
    points at the input of the network are likely to have a similar output. The theoretical
    analysis of deep networks here presented exploits tools used in the compressed
    sensing and dictionary learning literature, thereby making a formal connection
    between these important topics. The derived results allow drawing conclusions
    on the metric learning properties of the network and their relation to its structure,
    as well as providing bounds on the required size of the training set such that
    the training examples would represent faithfully the unseen data. The results
    are validated with state-of-the-art trained networks.
article_processing_charge: No
arxiv: 1
author:
- first_name: Raja
  full_name: Giryes, Raja
  last_name: Giryes
- first_name: Guillermo
  full_name: Sapiro, Guillermo
  last_name: Sapiro
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Giryes R, Sapiro G, Bronstein AM. Deep neural networks with random Gaussian
    weights: A universal classification strategy? <i>IEEE Transactions on Signal Processing</i>.
    2016;64(13):3444-3457. doi:<a href="https://doi.org/10.1109/tsp.2016.2546221">10.1109/tsp.2016.2546221</a>'
  apa: 'Giryes, R., Sapiro, G., &#38; Bronstein, A. M. (2016). Deep neural networks
    with random Gaussian weights: A universal classification strategy? <i>IEEE Transactions
    on Signal Processing</i>. IEEE. <a href="https://doi.org/10.1109/tsp.2016.2546221">https://doi.org/10.1109/tsp.2016.2546221</a>'
  chicago: 'Giryes, Raja, Guillermo Sapiro, and Alex M. Bronstein. “Deep Neural Networks
    with Random Gaussian Weights: A Universal Classification Strategy?” <i>IEEE Transactions
    on Signal Processing</i>. IEEE, 2016. <a href="https://doi.org/10.1109/tsp.2016.2546221">https://doi.org/10.1109/tsp.2016.2546221</a>.'
  ieee: 'R. Giryes, G. Sapiro, and A. M. Bronstein, “Deep neural networks with random
    Gaussian weights: A universal classification strategy?,” <i>IEEE Transactions
    on Signal Processing</i>, vol. 64, no. 13. IEEE, pp. 3444–3457, 2016.'
  ista: 'Giryes R, Sapiro G, Bronstein AM. 2016. Deep neural networks with random
    Gaussian weights: A universal classification strategy? IEEE Transactions on Signal
    Processing. 64(13), 3444–3457.'
  mla: 'Giryes, Raja, et al. “Deep Neural Networks with Random Gaussian Weights: A
    Universal Classification Strategy?” <i>IEEE Transactions on Signal Processing</i>,
    vol. 64, no. 13, IEEE, 2016, pp. 3444–57, doi:<a href="https://doi.org/10.1109/tsp.2016.2546221">10.1109/tsp.2016.2546221</a>.'
  short: R. Giryes, G. Sapiro, A.M. Bronstein, IEEE Transactions on Signal Processing
    64 (2016) 3444–3457.
date_created: 2024-10-15T11:20:55Z
date_published: 2016-07-01T00:00:00Z
date_updated: 2024-12-18T11:49:18Z
day: '01'
doi: 10.1109/tsp.2016.2546221
extern: '1'
external_id:
  arxiv:
  - '1504.08291'
intvolume: '        64'
issue: '13'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1504.08291
month: '07'
oa: 1
oa_version: Preprint
page: 3444-3457
publication: IEEE Transactions on Signal Processing
publication_identifier:
  eissn:
  - 1941-0476
  issn:
  - 1053-587X
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
  link:
  - relation: erratum
    url: https://doi.org/10.1109/TSP.2019.2961228
scopus_import: '1'
status: public
title: 'Deep neural networks with random Gaussian weights: A universal classification
  strategy?'
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 64
year: '2016'
...
---
_id: '18426'
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 non-rigid deformations and only partial views are available,
    the problem becomes very challenging. To this end, we present a non-rigid multi-part
    shape matching algorithm. We assume to be given a reference shape and its multiple
    parts undergoing a non-rigid deformation. Each of these query parts can be additionally
    contaminated by clutter, may overlap with other parts, and there might be missing
    parts or redundant ones. Our method simultaneously solves for the segmentation
    of the reference model, and for a dense correspondence to (subsets of) the parts.
    Experimental results on synthetic as well as real scans demonstrate the effectiveness
    of our method in dealing with this challenging matching scenario.
article_processing_charge: No
author:
- first_name: O.
  full_name: Litany, O.
  last_name: Litany
- first_name: E.
  full_name: Rodolà, E.
  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: M. M.
  full_name: Bronstein, M. M.
  last_name: Bronstein
- first_name: D.
  full_name: Cremers, D.
  last_name: Cremers
citation:
  ama: Litany O, Rodolà E, Bronstein AM, Bronstein MM, Cremers D. Non‐rigid puzzles.
    <i>Computer Graphics Forum</i>. 2016;35(5):135-143. doi:<a href="https://doi.org/10.1111/cgf.12970">10.1111/cgf.12970</a>
  apa: Litany, O., Rodolà, E., Bronstein, A. M., Bronstein, M. M., &#38; Cremers,
    D. (2016). Non‐rigid puzzles. <i>Computer Graphics Forum</i>. Wiley. <a href="https://doi.org/10.1111/cgf.12970">https://doi.org/10.1111/cgf.12970</a>
  chicago: Litany, O., E. Rodolà, Alex M. Bronstein, M. M. Bronstein, and D. Cremers.
    “Non‐rigid Puzzles.” <i>Computer Graphics Forum</i>. Wiley, 2016. <a href="https://doi.org/10.1111/cgf.12970">https://doi.org/10.1111/cgf.12970</a>.
  ieee: O. Litany, E. Rodolà, A. M. Bronstein, M. M. Bronstein, and D. Cremers, “Non‐rigid
    puzzles,” <i>Computer Graphics Forum</i>, vol. 35, no. 5. Wiley, pp. 135–143,
    2016.
  ista: Litany O, Rodolà E, Bronstein AM, Bronstein MM, Cremers D. 2016. Non‐rigid
    puzzles. Computer Graphics Forum. 35(5), 135–143.
  mla: Litany, O., et al. “Non‐rigid Puzzles.” <i>Computer Graphics Forum</i>, vol.
    35, no. 5, Wiley, 2016, pp. 135–43, doi:<a href="https://doi.org/10.1111/cgf.12970">10.1111/cgf.12970</a>.
  short: O. Litany, E. Rodolà, A.M. Bronstein, M.M. Bronstein, D. Cremers, Computer
    Graphics Forum 35 (2016) 135–143.
date_created: 2024-10-15T11:20:55Z
date_published: 2016-08-01T00:00:00Z
date_updated: 2024-12-19T14:29:56Z
day: '01'
doi: 10.1111/cgf.12970
extern: '1'
intvolume: '        35'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2011.13076
month: '08'
oa: 1
oa_version: Preprint
page: 135-143
publication: Computer Graphics Forum
publication_identifier:
  eissn:
  - 1467-8659
  issn:
  - 0167-7055
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Non‐rigid puzzles
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2016'
...
---
_id: '18430'
abstract:
- lang: eng
  text: Sparse models in dictionary learning have been successfully applied in a wide
    variety of machine learning and computer vision problems, and as a result have
    recently attracted increased research interest. Another interesting related problem
    based on linear equality constraints, namely the sparse null space (SNS) problem,
    first appeared in 1986 and has since inspired results on sparse basis pursuit.
    In this paper, we investigate the relation between the SNS problem and the analysis
    dictionary learning (ADL) problem, and show that the SNS problem plays a central
    role, and may be utilized to solve dictionary learning problems. Moreover, we
    propose an efficient algorithm of sparse null space basis pursuit (SNS-BP) and
    extend it to a solution of ADL. Experimental results on numerical synthetic data
    and real-world data are further presented to validate the performance of our method.
article_processing_charge: No
author:
- first_name: Xiao
  full_name: Bian, Xiao
  last_name: Bian
- first_name: Hamid
  full_name: Krim, Hamid
  last_name: Krim
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Liyi
  full_name: Dai, Liyi
  last_name: Dai
citation:
  ama: 'Bian X, Krim H, Bronstein AM, Dai L. Sparsity and nullity: Paradigms for analysis
    dictionary learning. <i>SIAM Journal on Imaging Sciences</i>. 2016;9(3):1107-1126.
    doi:<a href="https://doi.org/10.1137/15m1030376">10.1137/15m1030376</a>'
  apa: 'Bian, X., Krim, H., Bronstein, A. M., &#38; Dai, L. (2016). Sparsity and nullity:
    Paradigms for analysis dictionary learning. <i>SIAM Journal on Imaging Sciences</i>.
    Society for Industrial &#38; Applied Mathematics. <a href="https://doi.org/10.1137/15m1030376">https://doi.org/10.1137/15m1030376</a>'
  chicago: 'Bian, Xiao, Hamid Krim, Alex M. Bronstein, and Liyi Dai. “Sparsity and
    Nullity: Paradigms for Analysis Dictionary Learning.” <i>SIAM Journal on Imaging
    Sciences</i>. Society for Industrial &#38; Applied Mathematics, 2016. <a href="https://doi.org/10.1137/15m1030376">https://doi.org/10.1137/15m1030376</a>.'
  ieee: 'X. Bian, H. Krim, A. M. Bronstein, and L. Dai, “Sparsity and nullity: Paradigms
    for analysis dictionary learning,” <i>SIAM Journal on Imaging Sciences</i>, vol.
    9, no. 3. Society for Industrial &#38; Applied Mathematics, pp. 1107–1126, 2016.'
  ista: 'Bian X, Krim H, Bronstein AM, Dai L. 2016. Sparsity and nullity: Paradigms
    for analysis dictionary learning. SIAM Journal on Imaging Sciences. 9(3), 1107–1126.'
  mla: 'Bian, Xiao, et al. “Sparsity and Nullity: Paradigms for Analysis Dictionary
    Learning.” <i>SIAM Journal on Imaging Sciences</i>, vol. 9, no. 3, Society for
    Industrial &#38; Applied Mathematics, 2016, pp. 1107–26, doi:<a href="https://doi.org/10.1137/15m1030376">10.1137/15m1030376</a>.'
  short: X. Bian, H. Krim, A.M. Bronstein, L. Dai, SIAM Journal on Imaging Sciences
    9 (2016) 1107–1126.
date_created: 2024-10-15T11:20:55Z
date_published: 2016-08-09T00:00:00Z
date_updated: 2024-12-19T13:05:21Z
day: '09'
doi: 10.1137/15m1030376
extern: '1'
intvolume: '         9'
issue: '3'
language:
- iso: eng
month: '08'
oa_version: None
page: 1107-1126
publication: SIAM Journal on Imaging Sciences
publication_identifier:
  eissn:
  - 1936-4954
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Sparsity and nullity: Paradigms for analysis dictionary learning'
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2016'
...
---
OA_place: repository
OA_type: green
_id: '18434'
abstract:
- lang: eng
  text: "Notions of similarity and correspondence between geometric shapes and images
    are central to many tasks in geometry processing, computer vision, and computer
    graphics. The goal of this course is to familiarize the audience with a set of
    recent techniques that greatly facilitate the computation of mappings or correspondences
    between geometric datasets, such as 3D shapes or 2D images by formulating them
    as mappings between functions rather than points or triangles.\r\nMethods based
    on the functional map framework have recently led to state-of-the-art results
    in problems as diverse as non-rigid shape matching, image co-segmentation and
    even some aspects of tangent vector field design. One challenge in adopting these
    methods in practice, however, is that their exposition often assumes a significant
    amount of background in geometry processing, spectral methods and functional analysis,
    which can make it difficult to gain an intuition about their performance or about
    their applicability to real-life problems. In this course, we try to provide all
    the tools necessary to appreciate and use these techniques, while assuming very
    little background knowledge. We also give a unifying treatment of these techniques,
    which may be difficult to extract from the individual publications and, at the
    same time, hint at the generality of this point of view, which can help tackle
    many problems in the analysis and creation of visual content.\r\nThis course is
    structured as a half day course. We will assume that the participants have knowledge
    of basic linear algebra and some knowledge of differential geometry, to the extent
    of being familiar with the concepts of a manifold and a tangent vector space.
    We will discuss in detail the functional approach to finding correspondences between
    non-rigid shapes, the design and analysis of tangent vector fields on surfaces,
    consistent map estimation in networks of shapes and applications to shape and
    image segmentation, shape variability analysis, and other areas."
article_number: '9'
article_processing_charge: No
author:
- first_name: Maks
  full_name: Ovsjanikov, Maks
  last_name: Ovsjanikov
- first_name: Etienne
  full_name: Corman, Etienne
  last_name: Corman
- first_name: Michael
  full_name: Bronstein, Michael
  last_name: Bronstein
- first_name: Emanuele
  full_name: Rodolà, Emanuele
  last_name: Rodolà
- first_name: Mirela
  full_name: Ben-Chen, Mirela
  last_name: Ben-Chen
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: Frederic
  full_name: Chazal, Frederic
  last_name: Chazal
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Ovsjanikov M, Corman E, Bronstein M, et al. Computing and processing correspondences
    with functional maps. In: <i>SIGGRAPH ASIA 2016 Courses</i>. ACM; 2016. doi:<a
    href="https://doi.org/10.1145/2988458.2988494">10.1145/2988458.2988494</a>'
  apa: 'Ovsjanikov, M., Corman, E., Bronstein, M., Rodolà, E., Ben-Chen, M., Guibas,
    L., … Bronstein, A. M. (2016). Computing and processing correspondences with functional
    maps. In <i>SIGGRAPH ASIA 2016 Courses</i>. Macau: ACM. <a href="https://doi.org/10.1145/2988458.2988494">https://doi.org/10.1145/2988458.2988494</a>'
  chicago: Ovsjanikov, Maks, Etienne Corman, Michael Bronstein, Emanuele Rodolà, Mirela
    Ben-Chen, Leonidas Guibas, Frederic Chazal, and Alex M. Bronstein. “Computing
    and Processing Correspondences with Functional Maps.” In <i>SIGGRAPH ASIA 2016
    Courses</i>. ACM, 2016. <a href="https://doi.org/10.1145/2988458.2988494">https://doi.org/10.1145/2988458.2988494</a>.
  ieee: M. Ovsjanikov <i>et al.</i>, “Computing and processing correspondences with
    functional maps,” in <i>SIGGRAPH ASIA 2016 Courses</i>, Macau, 2016.
  ista: 'Ovsjanikov M, Corman E, Bronstein M, Rodolà E, Ben-Chen M, Guibas L, Chazal
    F, Bronstein AM. 2016. Computing and processing correspondences with functional
    maps. SIGGRAPH ASIA 2016 Courses. SA ’16: SIGGRAPH ASIA 2016 Courses, 9.'
  mla: Ovsjanikov, Maks, et al. “Computing and Processing Correspondences with Functional
    Maps.” <i>SIGGRAPH ASIA 2016 Courses</i>, 9, ACM, 2016, doi:<a href="https://doi.org/10.1145/2988458.2988494">10.1145/2988458.2988494</a>.
  short: M. Ovsjanikov, E. Corman, M. Bronstein, E. Rodolà, M. Ben-Chen, L. Guibas,
    F. Chazal, A.M. Bronstein, in:, SIGGRAPH ASIA 2016 Courses, ACM, 2016.
conference:
  end_date: 2016-12-08
  location: Macau
  name: 'SA ''16: SIGGRAPH ASIA 2016 Courses'
  start_date: 2016-12-05
date_created: 2024-10-15T11:20:55Z
date_published: 2016-11-28T00:00:00Z
date_updated: 2025-02-04T15:03:47Z
day: '28'
doi: 10.1145/2988458.2988494
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://inria.hal.science/hal-01664767/
month: '11'
oa: 1
oa_version: Preprint
publication: SIGGRAPH ASIA 2016 Courses
publication_identifier:
  isbn:
  - '9781450345385'
publication_status: published
publisher: ACM
quality_controlled: '1'
scopus_import: '1'
status: public
title: Computing and processing correspondences with functional maps
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
OA_place: repository
OA_type: green
_id: '22051'
abstract:
- lang: eng
  text: "We construct solutions with prescribed scattering state to the cubic-quintic
    NLS (mathematical formular)in three spatial dimensions in the class of solutions
    with (mathematical formular). This models disturbances in an infinite expanse
    of (quantum) fluid in its quiescent state— the limiting modulus c corresponds
    to a local minimum in the energy density.\r\nOur arguments build on work of Gustafson,
    Nakanishi, and Tsai on the (defocusing) Gross–Pitaevskii equation. The presence
    of an energy-critical nonlinearity and changes in the geometry of the energy\r\nfunctional
    add several new complexities. One new ingredient in our argument is a demonstration
    that\r\nsolutions of such (perturbed) energy-critical equations exhibit continuous
    dependence on the initial data\r\nwith respect to the weak topology on H1/x."
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 final-state problem for the cubic-quintic
    NLS with nonvanishing boundary conditions. <i>Analysis &#38; PDE</i>. 2016;9(7):1523-1574.
    doi:<a href="https://doi.org/10.2140/apde.2016.9.1523">10.2140/apde.2016.9.1523</a>
  apa: Killip, R., Murphy, J., &#38; Vişan, M. (2016). The final-state problem for
    the cubic-quintic NLS with nonvanishing boundary conditions. <i>Analysis &#38;
    PDE</i>. Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/apde.2016.9.1523">https://doi.org/10.2140/apde.2016.9.1523</a>
  chicago: Killip, Rowan, Jason Murphy, and Monica Vişan. “The Final-State Problem
    for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions.” <i>Analysis
    &#38; PDE</i>. Mathematical Sciences Publishers, 2016. <a href="https://doi.org/10.2140/apde.2016.9.1523">https://doi.org/10.2140/apde.2016.9.1523</a>.
  ieee: R. Killip, J. Murphy, and M. Vişan, “The final-state problem for the cubic-quintic
    NLS with nonvanishing boundary conditions,” <i>Analysis &#38; PDE</i>, vol. 9,
    no. 7. Mathematical Sciences Publishers, pp. 1523–1574, 2016.
  ista: Killip R, Murphy J, Vişan M. 2016. The final-state problem for the cubic-quintic
    NLS with nonvanishing boundary conditions. Analysis &#38; PDE. 9(7), 1523–1574.
  mla: Killip, Rowan, et al. “The Final-State Problem for the Cubic-Quintic NLS with
    Nonvanishing Boundary Conditions.” <i>Analysis &#38; PDE</i>, vol. 9, no. 7, Mathematical
    Sciences Publishers, 2016, pp. 1523–74, doi:<a href="https://doi.org/10.2140/apde.2016.9.1523">10.2140/apde.2016.9.1523</a>.
  short: R. Killip, J. Murphy, M. Vişan, Analysis &#38; PDE 9 (2016) 1523–1574.
das_tickbox: '1'
date_created: 2026-06-19T07:54:01Z
date_published: 2016-11-07T00:00:00Z
date_updated: 2026-06-25T08:23:10Z
day: '07'
doi: 10.2140/apde.2016.9.1523
extern: '1'
external_id:
  arxiv:
  - '1506.06151'
intvolume: '         9'
issue: '7'
keyword:
- final-state problem
- wave operators
- cubic-quintic NLS
- nonvanishing boundary conditions
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1506.06151
mathsc:
- 35Q55
month: '11'
oa: 1
oa_version: Preprint
page: 1523-1574
publication: Analysis & PDE
publication_identifier:
  eissn:
  - 1948-206X
  issn:
  - 2157-5045
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: The final-state problem for the cubic-quintic NLS with nonvanishing boundary
  conditions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2016'
...
---
OA_place: repository
OA_type: green
_id: '22052'
abstract:
- lang: eng
  text: 'We consider the focusing cubic nonlinear Schrödinger equation (NLS) in the
    exterior Ω of a smooth, compact, strictly convex obstacle in three dimensions.
    We prove that the threshold for global existence and scattering is the same as
    for the problem posed on Euclidean space. Specifically, we prove that if E(u0)M(u0)<E(Q)M(Q)
    and ||u0||2||u0||2<\|\nabla Q||2||Q||2, the corresponding solution to the initial
    value problem with Dirichlet boundary conditions exists globally and scatters
    to linear evolutions asymptotically in the future and in the past. Here, Q(x)
    denotes the ground state for the focusing cubic NLS in ℝ3. '
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. The focusing cubic NLS on exterior domains in three
    dimensions. <i>Applied Mathematics Research eXpress</i>. 2016;2016(1):146-180.
    doi:<a href="https://doi.org/10.1093/amrx/abv012">10.1093/amrx/abv012</a>
  apa: Killip, R., Vişan, M., &#38; Zhang, X. (2016). The focusing cubic NLS on exterior
    domains in three dimensions. <i>Applied Mathematics Research EXpress</i>. Oxford
    University Press. <a href="https://doi.org/10.1093/amrx/abv012">https://doi.org/10.1093/amrx/abv012</a>
  chicago: Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “The Focusing Cubic NLS
    on Exterior Domains in Three Dimensions.” <i>Applied Mathematics Research EXpress</i>.
    Oxford University Press, 2016. <a href="https://doi.org/10.1093/amrx/abv012">https://doi.org/10.1093/amrx/abv012</a>.
  ieee: R. Killip, M. Vişan, and X. Zhang, “The focusing cubic NLS on exterior domains
    in three dimensions,” <i>Applied Mathematics Research eXpress</i>, vol. 2016,
    no. 1. Oxford University Press, pp. 146–180, 2016.
  ista: Killip R, Vişan M, Zhang X. 2016. The focusing cubic NLS on exterior domains
    in three dimensions. Applied Mathematics Research eXpress. 2016(1), 146–180.
  mla: Killip, Rowan, et al. “The Focusing Cubic NLS on Exterior Domains in Three
    Dimensions.” <i>Applied Mathematics Research EXpress</i>, vol. 2016, no. 1, Oxford
    University Press, 2016, pp. 146–80, doi:<a href="https://doi.org/10.1093/amrx/abv012">10.1093/amrx/abv012</a>.
  short: R. Killip, M. Vişan, X. Zhang, Applied Mathematics Research EXpress 2016
    (2016) 146–180.
das_tickbox: '1'
date_created: 2026-06-19T07:54:24Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2026-06-25T08:30:19Z
day: '01'
doi: 10.1093/amrx/abv012
extern: '1'
external_id:
  arxiv:
  - '1501.05062'
intvolume: '      2016'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1501.05062
month: '01'
oa: 1
oa_version: Preprint
page: 146-180
publication: Applied Mathematics Research eXpress
publication_identifier:
  eissn:
  - 1687-1197
  issn:
  - 1687-1200
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: The focusing cubic NLS on exterior domains in three dimensions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2016
year: '2016'
...
---
OA_place: repository
OA_type: green
_id: '22073'
abstract:
- lang: eng
  text: We prove scale-invariant Strichartz inequalities for the Schrödinger equation
    on rectangular tori (rational or irrational) in all dimensions. We use these estimates
    to give a simpler treatment of local well-posedness of the energy-critical nonlinear
    Schrödinger equation in dimensions three and four.
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
citation:
  ama: Killip R, Vişan M. Scale-invariant Strichartz estimates on tori and applications.
    <i>Mathematical Research Letters</i>. 2016;23(2):445-472. doi:<a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">10.4310/mrl.2016.v23.n2.a8</a>
  apa: Killip, R., &#38; Vişan, M. (2016). Scale-invariant Strichartz estimates on
    tori and applications. <i>Mathematical Research Letters</i>. International Press.
    <a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">https://doi.org/10.4310/mrl.2016.v23.n2.a8</a>
  chicago: Killip, Rowan, and Monica Vişan. “Scale-Invariant Strichartz Estimates
    on Tori and Applications.” <i>Mathematical Research Letters</i>. International
    Press, 2016. <a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">https://doi.org/10.4310/mrl.2016.v23.n2.a8</a>.
  ieee: R. Killip and M. Vişan, “Scale-invariant Strichartz estimates on tori and
    applications,” <i>Mathematical Research Letters</i>, vol. 23, no. 2. International
    Press, pp. 445–472, 2016.
  ista: Killip R, Vişan M. 2016. Scale-invariant Strichartz estimates on tori and
    applications. Mathematical Research Letters. 23(2), 445–472.
  mla: Killip, Rowan, and Monica Vişan. “Scale-Invariant Strichartz Estimates on Tori
    and Applications.” <i>Mathematical Research Letters</i>, vol. 23, no. 2, International
    Press, 2016, pp. 445–72, doi:<a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">10.4310/mrl.2016.v23.n2.a8</a>.
  short: R. Killip, M. Vişan, Mathematical Research Letters 23 (2016) 445–472.
das_tickbox: '1'
date_created: 2026-06-19T08:22:27Z
date_published: 2016-06-06T00:00:00Z
date_updated: 2026-06-30T10:59:10Z
day: '06'
doi: 10.4310/mrl.2016.v23.n2.a8
extern: '1'
external_id:
  arxiv:
  - '1409.3603'
intvolume: '        23'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: 'https://doi.org/10.48550/arXiv.1409.3603 '
month: '06'
oa: 1
oa_version: Preprint
page: 445-472
publication: Mathematical Research Letters
publication_identifier:
  eissn:
  - 1945-001X
  issn:
  - 1073-2780
publication_status: published
publisher: International Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Scale-invariant Strichartz estimates on tori and applications
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2016'
...
---
_id: '1223'
abstract:
- lang: eng
  text: We consider a random Schrödinger operator on the binary tree with a random
    potential which is the sum of a random radially symmetric potential, Qr, and a
    random transversally periodic potential, κQt, with coupling constant κ. Using
    a new one-dimensional dynamical systems approach combined with Jensen's inequality
    in hyperbolic space (our key estimate) we obtain a fractional moment estimate
    proving localization for small and large κ. Together with a previous result we
    therefore obtain a model with two Anderson transitions, from localization to delocalization
    and back to localization, when increasing κ. As a by-product we also have a partially
    new proof of one-dimensional Anderson localization at any disorder.
article_processing_charge: No
arxiv: 1
author:
- first_name: Richard
  full_name: Froese, Richard
  last_name: Froese
- first_name: Darrick
  full_name: Lee, Darrick
  last_name: Lee
- first_name: Christian
  full_name: Sadel, Christian
  id: 4760E9F8-F248-11E8-B48F-1D18A9856A87
  last_name: Sadel
  orcid: 0000-0001-8255-3968
- first_name: Wolfgang
  full_name: Spitzer, Wolfgang
  last_name: Spitzer
- first_name: Günter
  full_name: Stolz, Günter
  last_name: Stolz
citation:
  ama: Froese R, Lee D, Sadel C, Spitzer W, Stolz G. Localization for transversally
    periodic random potentials on binary trees. <i>Journal of Spectral Theory</i>.
    2016;6(3):557-600. doi:<a href="https://doi.org/10.4171/JST/132">10.4171/JST/132</a>
  apa: Froese, R., Lee, D., Sadel, C., Spitzer, W., &#38; Stolz, G. (2016). Localization
    for transversally periodic random potentials on binary trees. <i>Journal of Spectral
    Theory</i>. EMS Press. <a href="https://doi.org/10.4171/JST/132">https://doi.org/10.4171/JST/132</a>
  chicago: Froese, Richard, Darrick Lee, Christian Sadel, Wolfgang Spitzer, and Günter
    Stolz. “Localization for Transversally Periodic Random Potentials on Binary Trees.”
    <i>Journal of Spectral Theory</i>. EMS Press, 2016. <a href="https://doi.org/10.4171/JST/132">https://doi.org/10.4171/JST/132</a>.
  ieee: R. Froese, D. Lee, C. Sadel, W. Spitzer, and G. Stolz, “Localization for transversally
    periodic random potentials on binary trees,” <i>Journal of Spectral Theory</i>,
    vol. 6, no. 3. EMS Press, pp. 557–600, 2016.
  ista: Froese R, Lee D, Sadel C, Spitzer W, Stolz G. 2016. Localization for transversally
    periodic random potentials on binary trees. Journal of Spectral Theory. 6(3),
    557–600.
  mla: Froese, Richard, et al. “Localization for Transversally Periodic Random Potentials
    on Binary Trees.” <i>Journal of Spectral Theory</i>, vol. 6, no. 3, EMS Press,
    2016, pp. 557–600, doi:<a href="https://doi.org/10.4171/JST/132">10.4171/JST/132</a>.
  short: R. Froese, D. Lee, C. Sadel, W. Spitzer, G. Stolz, Journal of Spectral Theory
    6 (2016) 557–600.
das_tickbox: '1'
date_created: 2018-12-11T11:50:48Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2026-07-06T11:55:04Z
day: '01'
department:
- _id: LaEr
doi: 10.4171/JST/132
external_id:
  arxiv:
  - '1408.3961'
  isi:
  - '000388627000004'
intvolume: '         6'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1408.3961
month: '01'
oa: 1
oa_version: Preprint
page: 557 - 600
publication: Journal of Spectral Theory
publication_status: published
publisher: EMS Press
publist_id: '6112'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Localization for transversally periodic random potentials on binary trees
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2016'
...
---
OA_place: repository
OA_type: green
_id: '1170'
abstract:
- lang: eng
  text: The increasing complexity of dynamic models in systems and synthetic biology
    poses computational challenges especially for the identification of model parameters.
    While modularization of the corresponding optimization problems could help reduce
    the “curse of dimensionality,” abundant feedback and crosstalk mechanisms prohibit
    a simple decomposition of most biomolecular networks into subnetworks, or modules.
    Drawing on ideas from network modularization and multiple-shooting optimization,
    we present here a modular parameter identification approach that explicitly allows
    for such interdependencies. Interfaces between our modules are given by the experimentally
    measured molecular species. This definition allows deriving good (initial) estimates
    for the inter-module communication directly from the experimental data. Given
    these estimates, the states and parameter sensitivities of different modules can
    be integrated independently. To achieve consistency between modules, we iteratively
    adjust the estimates for inter-module communication while optimizing the parameters.
    After convergence to an optimal parameter set---but not during earlier iterations---the
    intermodule communication as well as the individual modules\' state dynamics agree
    with the dynamics of the nonmodularized network. Our modular parameter identification
    approach allows for easy parallelization; it can reduce the computational complexity
    for larger networks and decrease the probability to converge to suboptimal local
    minima. We demonstrate the algorithm\'s performance in parameter estimation for
    two biomolecular networks, a synthetic genetic oscillator and a mammalian signaling
    pathway.
article_processing_charge: No
article_type: original
author:
- first_name: Moritz
  full_name: Lang, Moritz
  id: 29E0800A-F248-11E8-B48F-1D18A9856A87
  last_name: Lang
- first_name: Jörg
  full_name: Stelling, Jörg
  last_name: Stelling
citation:
  ama: Lang M, Stelling J. Modular parameter identification of biomolecular networks.
    <i>SIAM Journal on Scientific Computing</i>. 2016;38(6):B988-B1008. doi:<a href="https://doi.org/10.1137/15M103306X">10.1137/15M103306X</a>
  apa: Lang, M., &#38; Stelling, J. (2016). Modular parameter identification of biomolecular
    networks. <i>SIAM Journal on Scientific Computing</i>. Society for Industrial
    and Applied Mathematics. <a href="https://doi.org/10.1137/15M103306X">https://doi.org/10.1137/15M103306X</a>
  chicago: Lang, Moritz, and Jörg Stelling. “Modular Parameter Identification of Biomolecular
    Networks.” <i>SIAM Journal on Scientific Computing</i>. Society for Industrial
    and Applied Mathematics, 2016. <a href="https://doi.org/10.1137/15M103306X">https://doi.org/10.1137/15M103306X</a>.
  ieee: M. Lang and J. Stelling, “Modular parameter identification of biomolecular
    networks,” <i>SIAM Journal on Scientific Computing</i>, vol. 38, no. 6. Society
    for Industrial and Applied Mathematics, pp. B988–B1008, 2016.
  ista: Lang M, Stelling J. 2016. Modular parameter identification of biomolecular
    networks. SIAM Journal on Scientific Computing. 38(6), B988–B1008.
  mla: Lang, Moritz, and Jörg Stelling. “Modular Parameter Identification of Biomolecular
    Networks.” <i>SIAM Journal on Scientific Computing</i>, vol. 38, no. 6, Society
    for Industrial and Applied Mathematics, 2016, pp. B988–1008, doi:<a href="https://doi.org/10.1137/15M103306X">10.1137/15M103306X</a>.
  short: M. Lang, J. Stelling, SIAM Journal on Scientific Computing 38 (2016) B988–B1008.
corr_author: '1'
das_tickbox: '1'
date_created: 2018-12-11T11:50:31Z
date_published: 2016-11-15T00:00:00Z
date_updated: 2026-07-06T14:00:20Z
day: '15'
ddc:
- '003'
- '518'
- '570'
- '621'
department:
- _id: CaGu
- _id: GaTk
doi: 10.1137/15M103306X
external_id:
  isi:
  - '000391853100010'
file:
- access_level: open_access
  checksum: 781bc3ffd30b2dd65b7727c5a285fc78
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:41Z
  date_updated: 2025-06-25T11:26:45Z
  file_id: '5095'
  file_name: IST-2017-811-v1+1_modular_parameter_identification.pdf
  file_size: 871964
  relation: main_file
file_date_updated: 2025-06-25T11:26:45Z
has_accepted_license: '1'
intvolume: '        38'
isi: 1
issue: '6'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
page: B988 - B1008
publication: SIAM Journal on Scientific Computing
publication_status: published
publisher: Society for Industrial and Applied Mathematics
publist_id: '6186'
pubrep_id: '811'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Modular parameter identification of biomolecular networks
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 38
year: '2016'
...
---
_id: '1377'
abstract:
- lang: eng
  text: We consider the problem of minimizing the continuous valued total variation
    subject to different unary terms on trees and propose fast direct algorithms based
    on dynamic programming to solve these problems. We treat both the convex and the
    nonconvex case and derive worst-case complexities that are equal to or better
    than existing methods. We show applications to total variation based two dimensional
    image processing and computer vision problems based on a Lagrangian decomposition
    approach. The resulting algorithms are very effcient, offer a high degree of parallelism,
    and come along with memory requirements which are only in the order of the number
    of image pixels.
article_processing_charge: No
arxiv: 1
author:
- first_name: Vladimir
  full_name: Kolmogorov, Vladimir
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Thomas
  full_name: Pock, Thomas
  last_name: Pock
- first_name: Michal
  full_name: Rolinek, Michal
  id: 3CB3BC06-F248-11E8-B48F-1D18A9856A87
  last_name: Rolinek
citation:
  ama: Kolmogorov V, Pock T, Rolinek M. Total variation on a tree. <i>SIAM Journal
    on Imaging Sciences</i>. 2016;9(2):605-636. doi:<a href="https://doi.org/10.1137/15M1010257">10.1137/15M1010257</a>
  apa: Kolmogorov, V., Pock, T., &#38; Rolinek, M. (2016). Total variation on a tree.
    <i>SIAM Journal on Imaging Sciences</i>. Society for Industrial and Applied Mathematics.
    <a href="https://doi.org/10.1137/15M1010257">https://doi.org/10.1137/15M1010257</a>
  chicago: Kolmogorov, Vladimir, Thomas Pock, and Michal Rolinek. “Total Variation
    on a Tree.” <i>SIAM Journal on Imaging Sciences</i>. Society for Industrial and
    Applied Mathematics, 2016. <a href="https://doi.org/10.1137/15M1010257">https://doi.org/10.1137/15M1010257</a>.
  ieee: V. Kolmogorov, T. Pock, and M. Rolinek, “Total variation on a tree,” <i>SIAM
    Journal on Imaging Sciences</i>, vol. 9, no. 2. Society for Industrial and Applied
    Mathematics, pp. 605–636, 2016.
  ista: Kolmogorov V, Pock T, Rolinek M. 2016. Total variation on a tree. SIAM Journal
    on Imaging Sciences. 9(2), 605–636.
  mla: Kolmogorov, Vladimir, et al. “Total Variation on a Tree.” <i>SIAM Journal on
    Imaging Sciences</i>, vol. 9, no. 2, Society for Industrial and Applied Mathematics,
    2016, pp. 605–36, doi:<a href="https://doi.org/10.1137/15M1010257">10.1137/15M1010257</a>.
  short: V. Kolmogorov, T. Pock, M. Rolinek, SIAM Journal on Imaging Sciences 9 (2016)
    605–636.
das_tickbox: '1'
date_created: 2018-12-11T11:51:40Z
date_published: 2016-05-03T00:00:00Z
date_updated: 2026-07-06T13:59:54Z
day: '03'
department:
- _id: VlKo
doi: 10.1137/15M1010257
ec_funded: 1
external_id:
  arxiv:
  - '1502.07770'
  isi:
  - '000385275400005'
intvolume: '         9'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1502.07770
month: '05'
oa: 1
oa_version: Preprint
page: 605 - 636
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: SIAM Journal on Imaging Sciences
publication_status: published
publisher: Society for Industrial and Applied Mathematics
publist_id: '5834'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Total variation on a tree
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2016'
...
---
_id: '1272'
abstract:
- lang: eng
  text: We study different means to extend offsetting based on skeletal structures
    beyond the well-known constant-radius and mitered offsets supported by Voronoi
    diagrams and straight skeletons, for which the orthogonal distance of offset elements
    to their respective input elements is constant and uniform over all input elements.
    Our main contribution is a new geometric structure, called variable-radius Voronoi
    diagram, which supports the computation of variable-radius offsets, i.e., offsets
    whose distance to the input is allowed to vary along the input. We discuss properties
    of this structure and sketch a prototype implementation that supports the computation
    of variable-radius offsets based on this new variant of Voronoi diagrams.
acknowledgement: 'This work was supported by Austrian Science Fund (FWF): P25816-N15.'
article_processing_charge: No
author:
- first_name: Martin
  full_name: Held, Martin
  last_name: Held
- first_name: Stefan
  full_name: Huber, Stefan
  id: 4700A070-F248-11E8-B48F-1D18A9856A87
  last_name: Huber
  orcid: 0000-0002-8871-5814
- first_name: Peter
  full_name: Palfrader, Peter
  last_name: Palfrader
citation:
  ama: Held M, Huber S, Palfrader P. Generalized offsetting of planar structures using
    skeletons. <i>Computer-Aided Design and Applications</i>. 2016;13(5):712-721.
    doi:<a href="https://doi.org/10.1080/16864360.2016.1150718">10.1080/16864360.2016.1150718</a>
  apa: Held, M., Huber, S., &#38; Palfrader, P. (2016). Generalized offsetting of
    planar structures using skeletons. <i>Computer-Aided Design and Applications</i>.
    Taylor &#38; Francis. <a href="https://doi.org/10.1080/16864360.2016.1150718">https://doi.org/10.1080/16864360.2016.1150718</a>
  chicago: Held, Martin, Stefan Huber, and Peter Palfrader. “Generalized Offsetting
    of Planar Structures Using Skeletons.” <i>Computer-Aided Design and Applications</i>.
    Taylor &#38; Francis, 2016. <a href="https://doi.org/10.1080/16864360.2016.1150718">https://doi.org/10.1080/16864360.2016.1150718</a>.
  ieee: M. Held, S. Huber, and P. Palfrader, “Generalized offsetting of planar structures
    using skeletons,” <i>Computer-Aided Design and Applications</i>, vol. 13, no.
    5. Taylor &#38; Francis, pp. 712–721, 2016.
  ista: Held M, Huber S, Palfrader P. 2016. Generalized offsetting of planar structures
    using skeletons. Computer-Aided Design and Applications. 13(5), 712–721.
  mla: Held, Martin, et al. “Generalized Offsetting of Planar Structures Using Skeletons.”
    <i>Computer-Aided Design and Applications</i>, vol. 13, no. 5, Taylor &#38; Francis,
    2016, pp. 712–21, doi:<a href="https://doi.org/10.1080/16864360.2016.1150718">10.1080/16864360.2016.1150718</a>.
  short: M. Held, S. Huber, P. Palfrader, Computer-Aided Design and Applications 13
    (2016) 712–721.
das_tickbox: '1'
date_created: 2018-12-11T11:51:04Z
date_published: 2016-09-02T00:00:00Z
date_updated: 2026-07-07T05:34:31Z
day: '02'
ddc:
- '004'
- '516'
department:
- _id: HeEd
doi: 10.1080/16864360.2016.1150718
file:
- access_level: open_access
  checksum: c746f3a48edb62b588d92ea5d0fd2c0e
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:16:20Z
  date_updated: 2020-07-14T12:44:42Z
  file_id: '5206'
  file_name: IST-2016-694-v1+1_Generalized_offsetting_of_planar_structures_using_skeletons.pdf
  file_size: 1678369
  relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: '        13'
issue: '5'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 712 - 721
publication: Computer-Aided Design and Applications
publication_status: published
publisher: Taylor & Francis
publist_id: '6048'
pubrep_id: '694'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalized offsetting of planar structures using skeletons
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2016'
...
