---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '17899'
abstract:
- lang: eng
  text: Designing highly insulating sub-nanometer molecules is difficult because tunneling
    conductance increases exponentially with decreasing molecular length. This challenge
    is further enhanced by the fact that most molecules cannot achieve full conductance
    suppression with destructive quantum interference. Here, we present results for
    a series of small saturated heterocyclic alkanes where we show that conductance
    is suppressed due to destructive interference. Using the STM-BJ technique and
    density functional theory calculations, we confirm that their single-molecule
    junction conductance is lower than analogous alkanes of similar length. We rationalize
    the suppression of conductance in the junctions through analysis of the computed
    ballistic current density. We find there are highly symmetric ring currents, which
    reverse direction at the antiresonance in the Landauer transmission near the Fermi
    energy. This pattern has not been seen in earlier studies of larger bicyclic systems
    exhibiting interference effects and constitutes clear-cut evidence of destructive
    σ-interference. The finding of heterocyclic alkanes with destructive quantum interference
    charts a pathway for chemical design of short molecular insulators using organic
    molecules.
article_processing_charge: Yes
article_type: original
author:
- first_name: Boyuan
  full_name: Zhang, Boyuan
  last_name: Zhang
- first_name: Marc H.
  full_name: Garner, Marc H.
  last_name: Garner
- first_name: Liang
  full_name: Li, Liang
  last_name: Li
- first_name: Luis M.
  full_name: Campos, Luis M.
  last_name: Campos
- 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: 'Zhang B, Garner MH, Li L, Campos LM, Solomon GC, Venkataraman L. Destructive
    quantum interference in heterocyclic alkanes: The search for ultra-short molecular
    insulators. <i>Chemical Science</i>. 2021;12(30):10299-10305. doi:<a href="https://doi.org/10.1039/d1sc02287c">10.1039/d1sc02287c</a>'
  apa: 'Zhang, B., Garner, M. H., Li, L., Campos, L. M., Solomon, G. C., &#38; Venkataraman,
    L. (2021). Destructive quantum interference in heterocyclic alkanes: The search
    for ultra-short molecular insulators. <i>Chemical Science</i>. Royal Society of
    Chemistry. <a href="https://doi.org/10.1039/d1sc02287c">https://doi.org/10.1039/d1sc02287c</a>'
  chicago: 'Zhang, Boyuan, Marc H. Garner, Liang Li, Luis M. Campos, Gemma C. Solomon,
    and Latha Venkataraman. “Destructive Quantum Interference in Heterocyclic Alkanes:
    The Search for Ultra-Short Molecular Insulators.” <i>Chemical Science</i>. Royal
    Society of Chemistry, 2021. <a href="https://doi.org/10.1039/d1sc02287c">https://doi.org/10.1039/d1sc02287c</a>.'
  ieee: 'B. Zhang, M. H. Garner, L. Li, L. M. Campos, G. C. Solomon, and L. Venkataraman,
    “Destructive quantum interference in heterocyclic alkanes: The search for ultra-short
    molecular insulators,” <i>Chemical Science</i>, vol. 12, no. 30. Royal Society
    of Chemistry, pp. 10299–10305, 2021.'
  ista: 'Zhang B, Garner MH, Li L, Campos LM, Solomon GC, Venkataraman L. 2021. Destructive
    quantum interference in heterocyclic alkanes: The search for ultra-short molecular
    insulators. Chemical Science. 12(30), 10299–10305.'
  mla: 'Zhang, Boyuan, et al. “Destructive Quantum Interference in Heterocyclic Alkanes:
    The Search for Ultra-Short Molecular Insulators.” <i>Chemical Science</i>, vol.
    12, no. 30, Royal Society of Chemistry, 2021, pp. 10299–305, doi:<a href="https://doi.org/10.1039/d1sc02287c">10.1039/d1sc02287c</a>.'
  short: B. Zhang, M.H. Garner, L. Li, L.M. Campos, G.C. Solomon, L. Venkataraman,
    Chemical Science 12 (2021) 10299–10305.
date_created: 2024-09-09T06:42:54Z
date_published: 2021-06-30T00:00:00Z
date_updated: 2024-12-10T10:11:16Z
day: '30'
doi: 10.1039/d1sc02287c
extern: '1'
external_id:
  pmid:
  - '34476051'
intvolume: '        12'
issue: '30'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1039/D1SC02287C
month: '06'
oa: 1
oa_version: Published Version
page: 10299-10305
pmid: 1
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: 'Destructive quantum interference in heterocyclic alkanes: The search for ultra-short
  molecular insulators'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2021'
...
---
OA_type: closed access
_id: '17900'
abstract:
- lang: eng
  text: To rival the performance of modern integrated circuits, single-molecule devices
    must be designed to exhibit extremely nonlinear current–voltage (I–V) characteristics1,2,3,4.
    A common approach is to design molecular backbones where destructive quantum interference
    (QI) between the highest occupied molecular orbital (HOMO) and the lowest unoccupied
    molecular orbital (LUMO) produces a nonlinear energy-dependent tunnelling probability
    near the electrode Fermi energy (EF)5,6,7,8. However, tuning such systems is not
    straightforward, as aligning the frontier orbitals to EF is hard to control9.
    Here, we instead create a molecular system where constructive QI between the HOMO
    and LUMO is suppressed and destructive QI between the HOMO and strongly coupled
    occupied orbitals of opposite phase is enhanced. We use a series of fluorene oligomers
    containing a central benzothiadiazole10 unit to demonstrate that this strategy
    can be used to create highly nonlinear single-molecule circuits. Notably, we are
    able to reproducibly modulate the conductance of a 6-nm molecule by a factor of
    more than 10^4.
article_processing_charge: No
author:
- first_name: Julia E.
  full_name: Greenwald, Julia E.
  last_name: Greenwald
- first_name: Joseph
  full_name: Cameron, Joseph
  last_name: Cameron
- first_name: Neil J.
  full_name: Findlay, Neil J.
  last_name: Findlay
- first_name: Tianren
  full_name: Fu, Tianren
  last_name: Fu
- first_name: Suman
  full_name: Gunasekaran, Suman
  last_name: Gunasekaran
- first_name: Peter J.
  full_name: Skabara, Peter J.
  last_name: Skabara
- first_name: Latha
  full_name: Venkataraman, Latha
  id: 9ebb78a5-cc0d-11ee-8322-fae086a32caf
  last_name: Venkataraman
  orcid: 0000-0002-6957-6089
citation:
  ama: Greenwald JE, Cameron J, Findlay NJ, et al. Highly nonlinear transport across
    single-molecule junctions via destructive quantum interference. <i>Nature Nanotechnology</i>.
    2021;16(3):313-317. doi:<a href="https://doi.org/10.1038/s41565-020-00807-x">10.1038/s41565-020-00807-x</a>
  apa: Greenwald, J. E., Cameron, J., Findlay, N. J., Fu, T., Gunasekaran, S., Skabara,
    P. J., &#38; Venkataraman, L. (2021). Highly nonlinear transport across single-molecule
    junctions via destructive quantum interference. <i>Nature Nanotechnology</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s41565-020-00807-x">https://doi.org/10.1038/s41565-020-00807-x</a>
  chicago: Greenwald, Julia E., Joseph Cameron, Neil J. Findlay, Tianren Fu, Suman
    Gunasekaran, Peter J. Skabara, and Latha Venkataraman. “Highly Nonlinear Transport
    across Single-Molecule Junctions via Destructive Quantum Interference.” <i>Nature
    Nanotechnology</i>. Springer Nature, 2021. <a href="https://doi.org/10.1038/s41565-020-00807-x">https://doi.org/10.1038/s41565-020-00807-x</a>.
  ieee: J. E. Greenwald <i>et al.</i>, “Highly nonlinear transport across single-molecule
    junctions via destructive quantum interference,” <i>Nature Nanotechnology</i>,
    vol. 16, no. 3. Springer Nature, pp. 313–317, 2021.
  ista: Greenwald JE, Cameron J, Findlay NJ, Fu T, Gunasekaran S, Skabara PJ, Venkataraman
    L. 2021. Highly nonlinear transport across single-molecule junctions via destructive
    quantum interference. Nature Nanotechnology. 16(3), 313–317.
  mla: Greenwald, Julia E., et al. “Highly Nonlinear Transport across Single-Molecule
    Junctions via Destructive Quantum Interference.” <i>Nature Nanotechnology</i>,
    vol. 16, no. 3, Springer Nature, 2021, pp. 313–17, doi:<a href="https://doi.org/10.1038/s41565-020-00807-x">10.1038/s41565-020-00807-x</a>.
  short: J.E. Greenwald, J. Cameron, N.J. Findlay, T. Fu, S. Gunasekaran, P.J. Skabara,
    L. Venkataraman, Nature Nanotechnology 16 (2021) 313–317.
date_created: 2024-09-09T06:43:51Z
date_published: 2021-03-01T00:00:00Z
date_updated: 2024-12-10T10:20:32Z
day: '01'
doi: 10.1038/s41565-020-00807-x
extern: '1'
external_id:
  pmid:
  - '33288949'
intvolume: '        16'
issue: '3'
language:
- iso: eng
month: '03'
oa_version: None
page: 313-317
pmid: 1
publication: Nature Nanotechnology
publication_identifier:
  eissn:
  - 1748-3395
  issn:
  - 1748-3387
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Highly nonlinear transport across single-molecule junctions via destructive
  quantum interference
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2021'
...
---
OA_type: closed access
_id: '17901'
abstract:
- lang: eng
  text: A 1,1,2,2-tetrakis(4-aminophenyl)ethene with three paths of π-conjugation,
    linear-cis, linear-trans and a cross-conjugation, has been prepared. The molecule
    is able to bind to gold electrodes forming molecular junctions for single-molecule
    conductance measurements. Only two regimes of conduction are found experimentally.
    The modelling of the conductance allows to assign them to through-bond transmission
    in the linear case, while the cross-conjugated channel is further assisted by
    through-space transmission, partially alleviating the destructive quantum interference.
article_processing_charge: No
article_type: original
author:
- first_name: Samara
  full_name: Medina Rivero, Samara
  last_name: Medina Rivero
- first_name: Paloma
  full_name: García Arroyo, Paloma
  last_name: García Arroyo
- first_name: Liang
  full_name: Li, Liang
  last_name: Li
- first_name: Suman
  full_name: Gunasekaran, Suman
  last_name: Gunasekaran
- first_name: Thijs
  full_name: Stuyver, Thijs
  last_name: Stuyver
- first_name: María José
  full_name: Mancheño, María José
  last_name: Mancheño
- first_name: Mercedes
  full_name: Alonso, Mercedes
  last_name: Alonso
- first_name: Latha
  full_name: Venkataraman, Latha
  id: 9ebb78a5-cc0d-11ee-8322-fae086a32caf
  last_name: Venkataraman
  orcid: 0000-0002-6957-6089
- first_name: José L.
  full_name: Segura, José L.
  last_name: Segura
- first_name: Juan
  full_name: Casado, Juan
  last_name: Casado
citation:
  ama: Medina Rivero S, García Arroyo P, Li L, et al. Single-molecule conductance
    in a unique cross-conjugated tetra(aminoaryl)ethene. <i>Chemical Communications</i>.
    2021;57(5):591-594. doi:<a href="https://doi.org/10.1039/d0cc07124b">10.1039/d0cc07124b</a>
  apa: Medina Rivero, S., García Arroyo, P., Li, L., Gunasekaran, S., Stuyver, T.,
    Mancheño, M. J., … Casado, J. (2021). Single-molecule conductance in a unique
    cross-conjugated tetra(aminoaryl)ethene. <i>Chemical Communications</i>. Royal
    Society of Chemistry. <a href="https://doi.org/10.1039/d0cc07124b">https://doi.org/10.1039/d0cc07124b</a>
  chicago: Medina Rivero, Samara, Paloma García Arroyo, Liang Li, Suman Gunasekaran,
    Thijs Stuyver, María José Mancheño, Mercedes Alonso, Latha Venkataraman, José
    L. Segura, and Juan Casado. “Single-Molecule Conductance in a Unique Cross-Conjugated
    Tetra(Aminoaryl)Ethene.” <i>Chemical Communications</i>. Royal Society of Chemistry,
    2021. <a href="https://doi.org/10.1039/d0cc07124b">https://doi.org/10.1039/d0cc07124b</a>.
  ieee: S. Medina Rivero <i>et al.</i>, “Single-molecule conductance in a unique cross-conjugated
    tetra(aminoaryl)ethene,” <i>Chemical Communications</i>, vol. 57, no. 5. Royal
    Society of Chemistry, pp. 591–594, 2021.
  ista: Medina Rivero S, García Arroyo P, Li L, Gunasekaran S, Stuyver T, Mancheño
    MJ, Alonso M, Venkataraman L, Segura JL, Casado J. 2021. Single-molecule conductance
    in a unique cross-conjugated tetra(aminoaryl)ethene. Chemical Communications.
    57(5), 591–594.
  mla: Medina Rivero, Samara, et al. “Single-Molecule Conductance in a Unique Cross-Conjugated
    Tetra(Aminoaryl)Ethene.” <i>Chemical Communications</i>, vol. 57, no. 5, Royal
    Society of Chemistry, 2021, pp. 591–94, doi:<a href="https://doi.org/10.1039/d0cc07124b">10.1039/d0cc07124b</a>.
  short: S. Medina Rivero, P. García Arroyo, L. Li, S. Gunasekaran, T. Stuyver, M.J.
    Mancheño, M. Alonso, L. Venkataraman, J.L. Segura, J. Casado, Chemical Communications
    57 (2021) 591–594.
date_created: 2024-09-09T06:44:58Z
date_published: 2021-05-01T00:00:00Z
date_updated: 2024-12-10T10:23:49Z
day: '01'
doi: 10.1039/d0cc07124b
extern: '1'
external_id:
  pmid:
  - '33325935'
intvolume: '        57'
issue: '5'
language:
- iso: eng
month: '05'
oa_version: None
page: 591-594
pmid: 1
publication: Chemical Communications
publication_identifier:
  eissn:
  - 1364-548X
  issn:
  - 1359-7345
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Single-molecule conductance in a unique cross-conjugated tetra(aminoaryl)ethene
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2021'
...
---
_id: '18192'
abstract:
- lang: eng
  text: Current quantum simulation experiments are starting to explore nonequilibrium
    many-body dynamics in previously inaccessible regimes in terms of system sizes
    and timescales. Therefore, the question emerges as to which observables are best
    suited to study the dynamics in such quantum many-body systems. Using machine
    learning techniques, we investigate the dynamics and, in particular, the thermalization
    behavior of an interacting quantum system that undergoes a nonequilibrium phase
    transition from an ergodic to a many-body localized phase. We employ supervised
    and unsupervised training methods to distinguish nonequilibrium from equilibrium
    data, using the network performance as a probe for the thermalization behavior
    of the system. We test our methods with experimental snapshots of ultracold atoms
    taken with a quantum gas microscope. Our results provide a path to analyze highly
    entangled large-scale quantum states for system sizes where numerical calculations
    of conventional observables become challenging.
article_number: '150504'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: A.
  full_name: Bohrdt, A.
  last_name: Bohrdt
- first_name: S.
  full_name: Kim, S.
  last_name: Kim
- first_name: A.
  full_name: Lukin, A.
  last_name: Lukin
- first_name: M.
  full_name: Rispoli, M.
  last_name: Rispoli
- first_name: R.
  full_name: Schittko, R.
  last_name: Schittko
- first_name: M.
  full_name: Knap, M.
  last_name: Knap
- first_name: M.
  full_name: Greiner, M.
  last_name: Greiner
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
citation:
  ama: Bohrdt A, Kim S, Lukin A, et al. Analyzing nonequilibrium quantum states through
    snapshots with artificial neural networks. <i>Physical Review Letters</i>. 2021;127(15).
    doi:<a href="https://doi.org/10.1103/physrevlett.127.150504">10.1103/physrevlett.127.150504</a>
  apa: Bohrdt, A., Kim, S., Lukin, A., Rispoli, M., Schittko, R., Knap, M., … Leonard,
    J. (2021). Analyzing nonequilibrium quantum states through snapshots with artificial
    neural networks. <i>Physical Review Letters</i>. American Physical Society. <a
    href="https://doi.org/10.1103/physrevlett.127.150504">https://doi.org/10.1103/physrevlett.127.150504</a>
  chicago: Bohrdt, A., S. Kim, A. Lukin, M. Rispoli, R. Schittko, M. Knap, M. Greiner,
    and Julian Leonard. “Analyzing Nonequilibrium Quantum States through Snapshots
    with Artificial Neural Networks.” <i>Physical Review Letters</i>. American Physical
    Society, 2021. <a href="https://doi.org/10.1103/physrevlett.127.150504">https://doi.org/10.1103/physrevlett.127.150504</a>.
  ieee: A. Bohrdt <i>et al.</i>, “Analyzing nonequilibrium quantum states through
    snapshots with artificial neural networks,” <i>Physical Review Letters</i>, vol.
    127, no. 15. American Physical Society, 2021.
  ista: Bohrdt A, Kim S, Lukin A, Rispoli M, Schittko R, Knap M, Greiner M, Leonard
    J. 2021. Analyzing nonequilibrium quantum states through snapshots with artificial
    neural networks. Physical Review Letters. 127(15), 150504.
  mla: Bohrdt, A., et al. “Analyzing Nonequilibrium Quantum States through Snapshots
    with Artificial Neural Networks.” <i>Physical Review Letters</i>, vol. 127, no.
    15, 150504, American Physical Society, 2021, doi:<a href="https://doi.org/10.1103/physrevlett.127.150504">10.1103/physrevlett.127.150504</a>.
  short: A. Bohrdt, S. Kim, A. Lukin, M. Rispoli, R. Schittko, M. Knap, M. Greiner,
    J. Leonard, Physical Review Letters 127 (2021).
date_created: 2024-10-07T11:47:11Z
date_published: 2021-10-08T00:00:00Z
date_updated: 2024-10-08T09:58:03Z
day: '08'
doi: 10.1103/physrevlett.127.150504
extern: '1'
external_id:
  arxiv:
  - '2012.11586'
intvolume: '       127'
issue: '15'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2012.11586
month: '10'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_identifier:
  issn:
  - 0031-9007
  - 1079-7114
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Analyzing nonequilibrium quantum states through snapshots with artificial neural
  networks
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 127
year: '2021'
...
---
_id: '18193'
abstract:
- lang: eng
  text: "Topological states of matter, such as fractional quantum Hall states, are
    an active field of research due to their exotic excitations. In particular, ultracold
    atoms in optical lattices provide a highly controllable and adaptable platform
    to study such new types of quantum matter. However, finding a clear route to realize
    non-Abelian quantum Hall states in these systems remains challenging. Here we
    use the density-matrix renormalization-group (DMRG) method to study the Hofstadter-Bose-Hubbard
    model at filling factor \U0001D708=1 and find strong indications that at \U0001D6FC=1/6
    magnetic flux quanta per plaquette the ground state is a lattice analog of the
    continuum non-Abelian Pfaffian. We study the on-site correlations of the ground
    state, which indicate its paired nature at \U0001D708=1, and find an incompressible
    state characterized by a charge gap in the bulk. We argue that the emergence of
    a charge density wave on thin cylinders and the behavior of the two- and three-particle
    correlation functions at short distances provide evidence for the state being
    closely related to the continuum Pfaffian. The signatures discussed in this letter
    are accessible in current cold atom experiments and we show that the Pfaffian-like
    state is readily realizable in few-body systems using adiabatic preparation schemes."
article_number: L161101
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: F. A.
  full_name: Palm, F. A.
  last_name: Palm
- first_name: M.
  full_name: Buser, M.
  last_name: Buser
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: M.
  full_name: Aidelsburger, M.
  last_name: Aidelsburger
- first_name: U.
  full_name: Schollwöck, U.
  last_name: Schollwöck
- first_name: F.
  full_name: Grusdt, F.
  last_name: Grusdt
citation:
  ama: Palm FA, Buser M, Leonard J, Aidelsburger M, Schollwöck U, Grusdt F. Bosonic
    Pfaffian state in the Hofstadter-Bose-Hubbard model. <i>Physical Review B</i>.
    2021;103(16). doi:<a href="https://doi.org/10.1103/physrevb.103.l161101">10.1103/physrevb.103.l161101</a>
  apa: Palm, F. A., Buser, M., Leonard, J., Aidelsburger, M., Schollwöck, U., &#38;
    Grusdt, F. (2021). Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model.
    <i>Physical Review B</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevb.103.l161101">https://doi.org/10.1103/physrevb.103.l161101</a>
  chicago: Palm, F. A., M. Buser, Julian Leonard, M. Aidelsburger, U. Schollwöck,
    and F. Grusdt. “Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model.”
    <i>Physical Review B</i>. American Physical Society, 2021. <a href="https://doi.org/10.1103/physrevb.103.l161101">https://doi.org/10.1103/physrevb.103.l161101</a>.
  ieee: F. A. Palm, M. Buser, J. Leonard, M. Aidelsburger, U. Schollwöck, and F. Grusdt,
    “Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model,” <i>Physical Review
    B</i>, vol. 103, no. 16. American Physical Society, 2021.
  ista: Palm FA, Buser M, Leonard J, Aidelsburger M, Schollwöck U, Grusdt F. 2021.
    Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model. Physical Review B.
    103(16), L161101.
  mla: Palm, F. A., et al. “Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard
    Model.” <i>Physical Review B</i>, vol. 103, no. 16, L161101, American Physical
    Society, 2021, doi:<a href="https://doi.org/10.1103/physrevb.103.l161101">10.1103/physrevb.103.l161101</a>.
  short: F.A. Palm, M. Buser, J. Leonard, M. Aidelsburger, U. Schollwöck, F. Grusdt,
    Physical Review B 103 (2021).
date_created: 2024-10-07T11:47:51Z
date_published: 2021-04-15T00:00:00Z
date_updated: 2024-10-08T09:55:46Z
day: '15'
doi: 10.1103/physrevb.103.l161101
extern: '1'
external_id:
  arxiv:
  - '2011.02477'
intvolume: '       103'
issue: '16'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2011.02477
month: '04'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
  eissn:
  - 2469-9969
  issn:
  - 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 103
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '18233'
abstract:
- lang: eng
  text: Neural network quantization enables the deployment of large models on resource-constrained
    devices. Current post-training quantization methods fall short in terms of accuracy
    for INT4 (or lower) but provide reasonable accuracy for INT8 (or above). In this
    work, we study the effect of quantization on the structure of the loss landscape.
    We show that the structure is flat and separable for mild quantization, enabling
    straightforward post-training quantization methods to achieve good results. We
    show that with more aggressive quantization, the loss landscape becomes highly
    non-separable with steep curvature, making the selection of quantization parameters
    more challenging. Armed with this understanding, we design a method that quantizes
    the layer parameters jointly, enabling significant accuracy improvement over current
    post-training quantization methods. Reference implementation is available at https://github.com/ynahshan/nn-quantization-pytorch/tree/master/lapq.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yury
  full_name: Nahshan, Yury
  last_name: Nahshan
- first_name: Brian
  full_name: Chmiel, Brian
  last_name: Chmiel
- first_name: Chaim
  full_name: Baskin, Chaim
  last_name: Baskin
- first_name: Evgenii
  full_name: Zheltonozhskii, Evgenii
  last_name: Zheltonozhskii
- first_name: Ron
  full_name: Banner, Ron
  last_name: Banner
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Avi
  full_name: Mendelson, Avi
  last_name: Mendelson
citation:
  ama: Nahshan Y, Chmiel B, Baskin C, et al. Loss aware post-training quantization.
    <i>Machine Learning</i>. 2021;110(11-12):3245-3262. doi:<a href="https://doi.org/10.1007/s10994-021-06053-z">10.1007/s10994-021-06053-z</a>
  apa: Nahshan, Y., Chmiel, B., Baskin, C., Zheltonozhskii, E., Banner, R., Bronstein,
    A. M., &#38; Mendelson, A. (2021). Loss aware post-training quantization. <i>Machine
    Learning</i>. Springer Nature. <a href="https://doi.org/10.1007/s10994-021-06053-z">https://doi.org/10.1007/s10994-021-06053-z</a>
  chicago: Nahshan, Yury, Brian Chmiel, Chaim Baskin, Evgenii Zheltonozhskii, Ron
    Banner, Alex M. Bronstein, and Avi Mendelson. “Loss Aware Post-Training Quantization.”
    <i>Machine Learning</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s10994-021-06053-z">https://doi.org/10.1007/s10994-021-06053-z</a>.
  ieee: Y. Nahshan <i>et al.</i>, “Loss aware post-training quantization,” <i>Machine
    Learning</i>, vol. 110, no. 11–12. Springer Nature, pp. 3245–3262, 2021.
  ista: Nahshan Y, Chmiel B, Baskin C, Zheltonozhskii E, Banner R, Bronstein AM, Mendelson
    A. 2021. Loss aware post-training quantization. Machine Learning. 110(11–12),
    3245–3262.
  mla: Nahshan, Yury, et al. “Loss Aware Post-Training Quantization.” <i>Machine Learning</i>,
    vol. 110, no. 11–12, Springer Nature, 2021, pp. 3245–62, doi:<a href="https://doi.org/10.1007/s10994-021-06053-z">10.1007/s10994-021-06053-z</a>.
  short: Y. Nahshan, B. Chmiel, C. Baskin, E. Zheltonozhskii, R. Banner, A.M. Bronstein,
    A. Mendelson, Machine Learning 110 (2021) 3245–3262.
date_created: 2024-10-08T12:57:05Z
date_published: 2021-12-01T00:00:00Z
date_updated: 2024-10-15T07:33:28Z
day: '01'
doi: 10.1007/s10994-021-06053-z
extern: '1'
external_id:
  arxiv:
  - '1911.07190'
intvolume: '       110'
issue: 11-12
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1911.07190
month: '12'
oa: 1
oa_version: Preprint
page: 3245-3262
publication: Machine Learning
publication_identifier:
  eissn:
  - 1573-0565
  issn:
  - 0885-6125
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/ynahshan/nn-quantization-pytorch/tree/master/lapq
scopus_import: '1'
status: public
title: Loss aware post-training quantization
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 110
year: '2021'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '18234'
abstract:
- lang: eng
  text: Convolutional Neural Networks (CNNs) are very popular in many fields including
    computer vision, speech recognition, natural language processing, etc. Though
    deep learning leads to groundbreaking performance in those domains, the networks
    used are very computationally demanding and are far from being able to perform
    in real-time applications even on a GPU, which is not power efficient and therefore
    does not suit low power systems such as mobile devices. To overcome this challenge,
    some solutions have been proposed for quantizing the weights and activations of
    these networks, which accelerate the runtime significantly. Yet, this acceleration
    comes at the cost of a larger error unless spatial adjustments are carried out.
    The method proposed in this work trains quantized neural networks by noise injection
    and a learned clamping, which improve accuracy. This leads to state-of-the-art
    results on various regression and classification tasks, e.g., ImageNet classification
    with architectures such as ResNet-18/34/50 with as low as 3 bit weights and activations.
    We implement the proposed solution on an FPGA to demonstrate its applicability
    for low-power real-time applications. The quantization code will become publicly
    available upon acceptance.
article_number: '2144'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chaim
  full_name: Baskin, Chaim
  last_name: Baskin
- first_name: Evgenii
  full_name: Zheltonozhkii, Evgenii
  last_name: Zheltonozhkii
- first_name: Tal
  full_name: Rozen, Tal
  last_name: Rozen
- first_name: Natan
  full_name: Liss, Natan
  last_name: Liss
- first_name: Yoav
  full_name: Chai, Yoav
  last_name: Chai
- first_name: Eli
  full_name: Schwartz, Eli
  last_name: Schwartz
- 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: Avi
  full_name: Mendelson, Avi
  last_name: Mendelson
citation:
  ama: 'Baskin C, Zheltonozhkii E, Rozen T, et al. NICE: Noise Injection and Clamping
    Estimation for neural network quantization. <i>Mathematics</i>. 2021;9(17). doi:<a
    href="https://doi.org/10.3390/math9172144">10.3390/math9172144</a>'
  apa: 'Baskin, C., Zheltonozhkii, E., Rozen, T., Liss, N., Chai, Y., Schwartz, E.,
    … Mendelson, A. (2021). NICE: Noise Injection and Clamping Estimation for neural
    network quantization. <i>Mathematics</i>. MDPI. <a href="https://doi.org/10.3390/math9172144">https://doi.org/10.3390/math9172144</a>'
  chicago: 'Baskin, Chaim, Evgenii Zheltonozhkii, Tal Rozen, Natan Liss, Yoav Chai,
    Eli Schwartz, Raja Giryes, Alex M. Bronstein, and Avi Mendelson. “NICE: Noise
    Injection and Clamping Estimation for Neural Network Quantization.” <i>Mathematics</i>.
    MDPI, 2021. <a href="https://doi.org/10.3390/math9172144">https://doi.org/10.3390/math9172144</a>.'
  ieee: 'C. Baskin <i>et al.</i>, “NICE: Noise Injection and Clamping Estimation for
    neural network quantization,” <i>Mathematics</i>, vol. 9, no. 17. MDPI, 2021.'
  ista: 'Baskin C, Zheltonozhkii E, Rozen T, Liss N, Chai Y, Schwartz E, Giryes R,
    Bronstein AM, Mendelson A. 2021. NICE: Noise Injection and Clamping Estimation
    for neural network quantization. Mathematics. 9(17), 2144.'
  mla: 'Baskin, Chaim, et al. “NICE: Noise Injection and Clamping Estimation for Neural
    Network Quantization.” <i>Mathematics</i>, vol. 9, no. 17, 2144, MDPI, 2021, doi:<a
    href="https://doi.org/10.3390/math9172144">10.3390/math9172144</a>.'
  short: C. Baskin, E. Zheltonozhkii, T. Rozen, N. Liss, Y. Chai, E. Schwartz, R.
    Giryes, A.M. Bronstein, A. Mendelson, Mathematics 9 (2021).
date_created: 2024-10-08T12:57:24Z
date_published: 2021-09-02T00:00:00Z
date_updated: 2024-10-15T07:37:39Z
day: '02'
doi: 10.3390/math9172144
extern: '1'
external_id:
  arxiv:
  - '1810.00162'
intvolume: '         9'
issue: '17'
language:
- iso: eng
month: '09'
oa_version: Published Version
publication: Mathematics
publication_identifier:
  issn:
  - 2227-7390
publication_status: published
publisher: MDPI
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'NICE: Noise Injection and Clamping Estimation for neural network quantization'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '18235'
abstract:
- lang: eng
  text: 'Recently, great progress has been made in the field of Few-Shot Learning
    (FSL). While many different methods have been proposed, one of the key factors
    leading to higher FSL performance is surprisingly simple. It is the backbone network
    architecture used to embed the images of the few-shot tasks. While first works
    on FSL resorted to small architectures with just a few convolution layers, recent
    works show that large architectures pre-trained on the training portion of FSL
    datasets produce strong features that are more easily transferable to novel few-shot
    tasks, thus attaining significant gains to methods using them. Despite these observations,
    little to no work has been done towards finding the right backbone for FSL. In
    this paper we propose MetAdapt that not only meta-searches for an optimized architecture
    for FSL using Network Architecture Search (NAS), but also results in a model that
    can adaptively ‘re-wire’ itself predicting the better architecture for a given
    novel few-shot task. Using the proposed approach we observe strong results on
    two popular few-shot benchmarks: miniImageNet and FC100.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sivan
  full_name: Doveh, Sivan
  last_name: Doveh
- first_name: Eli
  full_name: Schwartz, Eli
  last_name: Schwartz
- first_name: Chao
  full_name: Xue, Chao
  last_name: Xue
- first_name: Rogerio
  full_name: Feris, Rogerio
  last_name: Feris
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Raja
  full_name: Giryes, Raja
  last_name: Giryes
- first_name: Leonid
  full_name: Karlinsky, Leonid
  last_name: Karlinsky
citation:
  ama: 'Doveh S, Schwartz E, Xue C, et al. MetAdapt: Meta-learned task-adaptive architecture
    for few-shot classification. <i>Pattern Recognition Letters</i>. 2021;149:130-136.
    doi:<a href="https://doi.org/10.1016/j.patrec.2021.05.010">10.1016/j.patrec.2021.05.010</a>'
  apa: 'Doveh, S., Schwartz, E., Xue, C., Feris, R., Bronstein, A. M., Giryes, R.,
    &#38; Karlinsky, L. (2021). MetAdapt: Meta-learned task-adaptive architecture
    for few-shot classification. <i>Pattern Recognition Letters</i>. Elsevier. <a
    href="https://doi.org/10.1016/j.patrec.2021.05.010">https://doi.org/10.1016/j.patrec.2021.05.010</a>'
  chicago: 'Doveh, Sivan, Eli Schwartz, Chao Xue, Rogerio Feris, Alex M. Bronstein,
    Raja Giryes, and Leonid Karlinsky. “MetAdapt: Meta-Learned Task-Adaptive Architecture
    for Few-Shot Classification.” <i>Pattern Recognition Letters</i>. Elsevier, 2021.
    <a href="https://doi.org/10.1016/j.patrec.2021.05.010">https://doi.org/10.1016/j.patrec.2021.05.010</a>.'
  ieee: 'S. Doveh <i>et al.</i>, “MetAdapt: Meta-learned task-adaptive architecture
    for few-shot classification,” <i>Pattern Recognition Letters</i>, vol. 149. Elsevier,
    pp. 130–136, 2021.'
  ista: 'Doveh S, Schwartz E, Xue C, Feris R, Bronstein AM, Giryes R, Karlinsky L.
    2021. MetAdapt: Meta-learned task-adaptive architecture for few-shot classification.
    Pattern Recognition Letters. 149, 130–136.'
  mla: 'Doveh, Sivan, et al. “MetAdapt: Meta-Learned Task-Adaptive Architecture for
    Few-Shot Classification.” <i>Pattern Recognition Letters</i>, vol. 149, Elsevier,
    2021, pp. 130–36, doi:<a href="https://doi.org/10.1016/j.patrec.2021.05.010">10.1016/j.patrec.2021.05.010</a>.'
  short: S. Doveh, E. Schwartz, C. Xue, R. Feris, A.M. Bronstein, R. Giryes, L. Karlinsky,
    Pattern Recognition Letters 149 (2021) 130–136.
date_created: 2024-10-08T12:57:53Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2024-10-15T07:39:56Z
day: '01'
doi: 10.1016/j.patrec.2021.05.010
extern: '1'
external_id:
  arxiv:
  - '1912.00412'
intvolume: '       149'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1912.00412
month: '09'
oa: 1
oa_version: Preprint
page: 130-136
publication: Pattern Recognition Letters
publication_identifier:
  issn:
  - 0167-8655
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'MetAdapt: Meta-learned task-adaptive architecture for few-shot classification'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 149
year: '2021'
...
---
OA_place: publisher
OA_type: free access
_id: '18236'
abstract:
- lang: eng
  text: 'Despite their great promise, artificial intelligence (AI) systems have yet
    to become ubiquitous in the daily practice of medicine largely due to several
    crucial unmet needs of healthcare practitioners. These include lack of explanations
    in clinically meaningful terms, handling the presence of unknown medical conditions,
    and transparency regarding the system’s limitations, both in terms of statistical
    performance as well as recognizing situations for which the system’s predictions
    are irrelevant. We articulate these unmet clinical needs as machine-learning (ML)
    problems and systematically address them with cutting-edge ML techniques. We focus
    on electrocardiogram (ECG) analysis as an example domain in which AI has great
    potential and tackle two challenging tasks: the detection of a heterogeneous mix
    of known and unknown arrhythmias from ECG and the identification of underlying
    cardio-pathology from segments annotated as normal sinus rhythm recorded in patients
    with an intermittent arrhythmia. We validate our methods by simulating a screening
    for arrhythmias in a large-scale population while adhering to statistical significance
    requirements. Specifically, our system 1) visualizes the relative importance of
    each part of an ECG segment for the final model decision; 2) upholds specified
    statistical constraints on its out-of-sample performance and provides uncertainty
    estimation for its predictions; 3) handles inputs containing unknown rhythm types;
    and 4) handles data from unseen patients while also flagging cases in which the
    model’s outputs are not usable for a specific patient. This work represents a
    significant step toward overcoming the limitations currently impeding the integration
    of AI into clinical practice in cardiology and medicine in general.'
article_number: e2020620118
article_processing_charge: No
article_type: original
author:
- first_name: Yonatan
  full_name: Elul, Yonatan
  last_name: Elul
- first_name: Aviv A.
  full_name: Rosenberg, Aviv A.
  last_name: Rosenberg
- first_name: Assaf
  full_name: Schuster, Assaf
  last_name: Schuster
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Yael
  full_name: Yaniv, Yael
  last_name: Yaniv
citation:
  ama: Elul Y, Rosenberg AA, Schuster A, Bronstein AM, Yaniv Y. Meeting the unmet
    needs of clinicians from AI systems showcased for cardiology with deep-learning–based
    ECG analysis. <i>Proceedings of the National Academy of Sciences</i>. 2021;118(24).
    doi:<a href="https://doi.org/10.1073/pnas.2020620118">10.1073/pnas.2020620118</a>
  apa: Elul, Y., Rosenberg, A. A., Schuster, A., Bronstein, A. M., &#38; Yaniv, Y.
    (2021). Meeting the unmet needs of clinicians from AI systems showcased for cardiology
    with deep-learning–based ECG analysis. <i>Proceedings of the National Academy
    of Sciences</i>. National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.2020620118">https://doi.org/10.1073/pnas.2020620118</a>
  chicago: Elul, Yonatan, Aviv A. Rosenberg, Assaf Schuster, Alex M. Bronstein, and
    Yael Yaniv. “Meeting the Unmet Needs of Clinicians from AI Systems Showcased for
    Cardiology with Deep-Learning–Based ECG Analysis.” <i>Proceedings of the National
    Academy of Sciences</i>. National Academy of Sciences, 2021. <a href="https://doi.org/10.1073/pnas.2020620118">https://doi.org/10.1073/pnas.2020620118</a>.
  ieee: Y. Elul, A. A. Rosenberg, A. Schuster, A. M. Bronstein, and Y. Yaniv, “Meeting
    the unmet needs of clinicians from AI systems showcased for cardiology with deep-learning–based
    ECG analysis,” <i>Proceedings of the National Academy of Sciences</i>, vol. 118,
    no. 24. National Academy of Sciences, 2021.
  ista: Elul Y, Rosenberg AA, Schuster A, Bronstein AM, Yaniv Y. 2021. Meeting the
    unmet needs of clinicians from AI systems showcased for cardiology with deep-learning–based
    ECG analysis. Proceedings of the National Academy of Sciences. 118(24), e2020620118.
  mla: Elul, Yonatan, et al. “Meeting the Unmet Needs of Clinicians from AI Systems
    Showcased for Cardiology with Deep-Learning–Based ECG Analysis.” <i>Proceedings
    of the National Academy of Sciences</i>, vol. 118, no. 24, e2020620118, National
    Academy of Sciences, 2021, doi:<a href="https://doi.org/10.1073/pnas.2020620118">10.1073/pnas.2020620118</a>.
  short: Y. Elul, A.A. Rosenberg, A. Schuster, A.M. Bronstein, Y. Yaniv, Proceedings
    of the National Academy of Sciences 118 (2021).
date_created: 2024-10-08T12:58:09Z
date_published: 2021-06-07T00:00:00Z
date_updated: 2024-10-15T07:43:01Z
day: '07'
doi: 10.1073/pnas.2020620118
extern: '1'
external_id:
  pmid:
  - '34099565'
intvolume: '       118'
issue: '24'
language:
- iso: eng
month: '06'
oa_version: Published Version
pmid: 1
publication: Proceedings of the National Academy of Sciences
publication_identifier:
  eissn:
  - 1091-6490
  issn:
  - 0027-8424
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Meeting the unmet needs of clinicians from AI systems showcased for cardiology
  with deep-learning–based ECG analysis
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 118
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '18237'
abstract:
- lang: eng
  text: We present a novel method for neural network quantization. Our method, named
    UNIQ, emulates a non-uniform k-quantile quantizer and adapts the model to perform
    well with quantized weights by injecting noise to the weights at training time.
    As a by-product of injecting noise to weights, we find that activations can also
    be quantized to as low as 8-bit with only a minor accuracy degradation. Our non-uniform
    quantization approach provides a novel alternative to the existing uniform quantization
    techniques for neural networks. We further propose a novel complexity metric of
    number of bit operations performed (BOPs), and we show that this metric has a
    linear relation with logic utilization and power. We suggest evaluating the trade-off
    of accuracy vs. complexity (BOPs). The proposed method, when evaluated on ResNet18/34/50
    and MobileNet on ImageNet, outperforms the prior state of the art both in the
    low-complexity regime and the high accuracy regime. We demonstrate the practical
    applicability of this approach, by implementing our non-uniformly quantized CNN
    on FPGA.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chaim
  full_name: Baskin, Chaim
  last_name: Baskin
- first_name: Natan
  full_name: Liss, Natan
  last_name: Liss
- first_name: Eli
  full_name: Schwartz, Eli
  last_name: Schwartz
- first_name: Evgenii
  full_name: Zheltonozhskii, Evgenii
  last_name: Zheltonozhskii
- 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: Avi
  full_name: Mendelson, Avi
  last_name: Mendelson
citation:
  ama: 'Baskin C, Liss N, Schwartz E, et al. UNIQ: Uniform Noise Injection for Non-Uniform
    Quantization of neural networks. <i>ACM Transactions on Computer Systems</i>.
    2021;37(1-4):1-15. doi:<a href="https://doi.org/10.1145/3444943">10.1145/3444943</a>'
  apa: 'Baskin, C., Liss, N., Schwartz, E., Zheltonozhskii, E., Giryes, R., Bronstein,
    A. M., &#38; Mendelson, A. (2021). UNIQ: Uniform Noise Injection for Non-Uniform
    Quantization of neural networks. <i>ACM Transactions on Computer Systems</i>.
    Association for Computing Machinery. <a href="https://doi.org/10.1145/3444943">https://doi.org/10.1145/3444943</a>'
  chicago: 'Baskin, Chaim, Natan Liss, Eli Schwartz, Evgenii Zheltonozhskii, Raja
    Giryes, Alex M. Bronstein, and Avi Mendelson. “UNIQ: Uniform Noise Injection for
    Non-Uniform Quantization of Neural Networks.” <i>ACM Transactions on Computer
    Systems</i>. Association for Computing Machinery, 2021. <a href="https://doi.org/10.1145/3444943">https://doi.org/10.1145/3444943</a>.'
  ieee: 'C. Baskin <i>et al.</i>, “UNIQ: Uniform Noise Injection for Non-Uniform Quantization
    of neural networks,” <i>ACM Transactions on Computer Systems</i>, vol. 37, no.
    1–4. Association for Computing Machinery, pp. 1–15, 2021.'
  ista: 'Baskin C, Liss N, Schwartz E, Zheltonozhskii E, Giryes R, Bronstein AM, Mendelson
    A. 2021. UNIQ: Uniform Noise Injection for Non-Uniform Quantization of neural
    networks. ACM Transactions on Computer Systems. 37(1–4), 1–15.'
  mla: 'Baskin, Chaim, et al. “UNIQ: Uniform Noise Injection for Non-Uniform Quantization
    of Neural Networks.” <i>ACM Transactions on Computer Systems</i>, vol. 37, no.
    1–4, Association for Computing Machinery, 2021, pp. 1–15, doi:<a href="https://doi.org/10.1145/3444943">10.1145/3444943</a>.'
  short: C. Baskin, N. Liss, E. Schwartz, E. Zheltonozhskii, R. Giryes, A.M. Bronstein,
    A. Mendelson, ACM Transactions on Computer Systems 37 (2021) 1–15.
date_created: 2024-10-08T12:58:26Z
date_published: 2021-03-26T00:00:00Z
date_updated: 2024-10-15T07:47:22Z
day: '26'
doi: 10.1145/3444943
extern: '1'
external_id:
  arxiv:
  - '1804.10969'
intvolume: '        37'
issue: 1-4
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1804.10969
month: '03'
oa: 1
oa_version: Preprint
page: 1-15
publication: ACM Transactions on Computer Systems
publication_identifier:
  eissn:
  - 1557-7333
  issn:
  - 0734-2071
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'UNIQ: Uniform Noise Injection for Non-Uniform Quantization of neural networks'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2021'
...
---
OA_place: publisher
OA_type: gold
_id: '18238'
abstract:
- lang: eng
  text: The demand for running NNs in embedded environments has increased significantly
    in recent years due to the significant success of convolutional neural network
    (CNN) approaches in various tasks, including image recognition and generation.
    The task of achieving high accuracy on resource-restricted devices, however, is
    still considered to be challenging, which is mainly due to the vast number of
    design parameters that need to be balanced. While the quantization of CNN parameters
    leads to a reduction of power and area, it can also generate unexpected changes
    in the balance between communication and computation. This change is hard to evaluate,
    and the lack of balance may lead to lower utilization of either memory bandwidth
    or computational resources, thereby reducing performance. This paper introduces
    a hardware performance analysis framework for identifying bottlenecks in the early
    stages of CNN hardware design. We demonstrate how the proposed method can help
    in evaluating different architecture alternatives of resource-restricted CNN accelerators
    (e.g., part of real-time embedded systems) early in design stages and, thus, prevent
    making design mistakes.
article_number: '717'
article_processing_charge: No
article_type: original
author:
- first_name: Alex
  full_name: Karbachevsky, Alex
  last_name: Karbachevsky
- first_name: Chaim
  full_name: Baskin, Chaim
  last_name: Baskin
- first_name: Evgenii
  full_name: Zheltonozhskii, Evgenii
  last_name: Zheltonozhskii
- first_name: Yevgeny
  full_name: Yermolin, Yevgeny
  last_name: Yermolin
- first_name: Freddy
  full_name: Gabbay, Freddy
  last_name: Gabbay
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Avi
  full_name: Mendelson, Avi
  last_name: Mendelson
citation:
  ama: Karbachevsky A, Baskin C, Zheltonozhskii E, et al. Early-stage neural network
    hardware performance analysis. <i>Sustainability</i>. 2021;13(2). doi:<a href="https://doi.org/10.3390/su13020717">10.3390/su13020717</a>
  apa: Karbachevsky, A., Baskin, C., Zheltonozhskii, E., Yermolin, Y., Gabbay, F.,
    Bronstein, A. M., &#38; Mendelson, A. (2021). Early-stage neural network hardware
    performance analysis. <i>Sustainability</i>. MDPI. <a href="https://doi.org/10.3390/su13020717">https://doi.org/10.3390/su13020717</a>
  chicago: Karbachevsky, Alex, Chaim Baskin, Evgenii Zheltonozhskii, Yevgeny Yermolin,
    Freddy Gabbay, Alex M. Bronstein, and Avi Mendelson. “Early-Stage Neural Network
    Hardware Performance Analysis.” <i>Sustainability</i>. MDPI, 2021. <a href="https://doi.org/10.3390/su13020717">https://doi.org/10.3390/su13020717</a>.
  ieee: A. Karbachevsky <i>et al.</i>, “Early-stage neural network hardware performance
    analysis,” <i>Sustainability</i>, vol. 13, no. 2. MDPI, 2021.
  ista: Karbachevsky A, Baskin C, Zheltonozhskii E, Yermolin Y, Gabbay F, Bronstein
    AM, Mendelson A. 2021. Early-stage neural network hardware performance analysis.
    Sustainability. 13(2), 717.
  mla: Karbachevsky, Alex, et al. “Early-Stage Neural Network Hardware Performance
    Analysis.” <i>Sustainability</i>, vol. 13, no. 2, 717, MDPI, 2021, doi:<a href="https://doi.org/10.3390/su13020717">10.3390/su13020717</a>.
  short: A. Karbachevsky, C. Baskin, E. Zheltonozhskii, Y. Yermolin, F. Gabbay, A.M.
    Bronstein, A. Mendelson, Sustainability 13 (2021).
date_created: 2024-10-08T12:58:47Z
date_published: 2021-01-13T00:00:00Z
date_updated: 2024-10-15T08:17:49Z
day: '13'
doi: 10.3390/su13020717
extern: '1'
intvolume: '        13'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.3390/su13020717
month: '01'
oa: 1
oa_version: Published Version
publication: Sustainability
publication_identifier:
  issn:
  - 2071-1050
publication_status: published
publisher: MDPI
quality_controlled: '1'
scopus_import: '1'
status: public
title: Early-stage neural network hardware performance analysis
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '18239'
abstract:
- lang: eng
  text: Nowadays, there is an abundance of data involving images and surrounding free-form
    text weakly corresponding to those images. Weakly Supervised phrase-Grounding
    (WSG) deals with the task of using this data to learn to localize (or to ground)
    arbitrary text phrases in images without any additional annotations. However,
    most recent SotA methods for WSG assume an existence of a pre-trained object detector,
    relying on it to produce the ROIs for localization. In this work, we focus on
    the task of Detector-Free WSG (DF-WSG) to solve WSG without relying on a pre-trained
    detector. The key idea behind our proposed Grounding by Separation (GbS) method
    is synthesizing ‘text to image-regions’ associations by random alpha-blending
    of arbitrary image pairs and using the corresponding texts of the pair as conditions
    to recover the alpha map from the blended image via a segmentation network. At
    test time, this allows using the query phrase as a condition for a non-blended
    query image, thus interpreting the test image as a composition of a region corresponding
    to the phrase and the complement region. Our GbS shows an 8.5% accuracy improvement
    over previous DF-WSG SotA, for a range of benchmarks including Flickr30K, Visual
    Genome, and ReferIt, as well as a complementary improvement (above 7%) over the
    detector-based approaches for WSG.
article_processing_charge: No
arxiv: 1
author:
- first_name: Assaf
  full_name: Arbelle, Assaf
  last_name: Arbelle
- first_name: Sivan
  full_name: Doveh, Sivan
  last_name: Doveh
- first_name: Amit
  full_name: Alfassy, Amit
  last_name: Alfassy
- first_name: Joseph
  full_name: Shtok, Joseph
  last_name: Shtok
- first_name: Guy
  full_name: Lev, Guy
  last_name: Lev
- first_name: Eli
  full_name: Schwartz, Eli
  last_name: Schwartz
- first_name: Hilde
  full_name: Kuehne, Hilde
  last_name: Kuehne
- first_name: Hila Barak
  full_name: Levi, Hila Barak
  last_name: Levi
- first_name: Prasanna
  full_name: Sattigeri, Prasanna
  last_name: Sattigeri
- first_name: Rameswar
  full_name: Panda, Rameswar
  last_name: Panda
- first_name: Chun-Fu
  full_name: Chen, Chun-Fu
  last_name: Chen
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Kate
  full_name: Saenko, Kate
  last_name: Saenko
- first_name: Shimon
  full_name: Ullman, Shimon
  last_name: Ullman
- first_name: Raja
  full_name: Giryes, Raja
  last_name: Giryes
- first_name: Rogerio
  full_name: Feris, Rogerio
  last_name: Feris
- first_name: Leonid
  full_name: Karlinsky, Leonid
  last_name: Karlinsky
citation:
  ama: 'Arbelle A, Doveh S, Alfassy A, et al. Detector-free weakly supervised grounding
    by separation. In: <i>IEEE/CVF International Conference on Computer Vision</i>.
    Vol 15. Institute of Electrical and Electronics Engineers; 2021. doi:<a href="https://doi.org/10.1109/iccv48922.2021.00182">10.1109/iccv48922.2021.00182</a>'
  apa: 'Arbelle, A., Doveh, S., Alfassy, A., Shtok, J., Lev, G., Schwartz, E., … Karlinsky,
    L. (2021). Detector-free weakly supervised grounding by separation. In <i>IEEE/CVF
    International Conference on Computer Vision</i> (Vol. 15). Montreal, Canada: Institute
    of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/iccv48922.2021.00182">https://doi.org/10.1109/iccv48922.2021.00182</a>'
  chicago: Arbelle, Assaf, Sivan Doveh, Amit Alfassy, Joseph Shtok, Guy Lev, Eli Schwartz,
    Hilde Kuehne, et al. “Detector-Free Weakly Supervised Grounding by Separation.”
    In <i>IEEE/CVF International Conference on Computer Vision</i>, Vol. 15. Institute
    of Electrical and Electronics Engineers, 2021. <a href="https://doi.org/10.1109/iccv48922.2021.00182">https://doi.org/10.1109/iccv48922.2021.00182</a>.
  ieee: A. Arbelle <i>et al.</i>, “Detector-free weakly supervised grounding by separation,”
    in <i>IEEE/CVF International Conference on Computer Vision</i>, Montreal, Canada,
    2021, vol. 15.
  ista: 'Arbelle A, Doveh S, Alfassy A, Shtok J, Lev G, Schwartz E, Kuehne H, Levi
    HB, Sattigeri P, Panda R, Chen C-F, Bronstein AM, Saenko K, Ullman S, Giryes R,
    Feris R, Karlinsky L. 2021. Detector-free weakly supervised grounding by separation.
    IEEE/CVF International Conference on Computer Vision. ICCV: International Conference
    on Computer Vision vol. 15.'
  mla: Arbelle, Assaf, et al. “Detector-Free Weakly Supervised Grounding by Separation.”
    <i>IEEE/CVF International Conference on Computer Vision</i>, vol. 15, Institute
    of Electrical and Electronics Engineers, 2021, doi:<a href="https://doi.org/10.1109/iccv48922.2021.00182">10.1109/iccv48922.2021.00182</a>.
  short: A. Arbelle, S. Doveh, A. Alfassy, J. Shtok, G. Lev, E. Schwartz, H. Kuehne,
    H.B. Levi, P. Sattigeri, R. Panda, C.-F. Chen, A.M. Bronstein, K. Saenko, S. Ullman,
    R. Giryes, R. Feris, L. Karlinsky, in:, IEEE/CVF International Conference on Computer
    Vision, Institute of Electrical and Electronics Engineers, 2021.
conference:
  end_date: 2021-10-17
  location: Montreal, Canada
  name: 'ICCV: International Conference on Computer Vision'
  start_date: 2021-10-10
date_created: 2024-10-08T13:02:34Z
date_published: 2021-10-20T00:00:00Z
date_updated: 2024-10-15T08:22:47Z
day: '20'
doi: 10.1109/iccv48922.2021.00182
extern: '1'
external_id:
  arxiv:
  - '2104.09829'
intvolume: '        15'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2104.09829
month: '10'
oa: 1
oa_version: Preprint
publication: IEEE/CVF International Conference on Computer Vision
publication_identifier:
  eisbn:
  - '9781665428125'
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Detector-free weakly supervised grounding by separation
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '18240'
abstract:
- lang: eng
  text: Mechanical image stabilization using actuated gimbals enables capturing long-exposure
    shots without suffering from blur due to camera motion. These devices, however,
    are often physically cumbersome and expensive, limiting their widespread use.
    In this work, we propose to digitally emulate a mechanically stabilized system
    from the input of a fast unstabilized camera. To exploit the trade-off between
    motion blur at long exposures and low SNR at short exposures, we train a CNN that
    estimates a sharp high-SNR image by aggregating a burst of noisy short-exposure
    frames, related by unknown motion. We further suggest learning the burst’s exposure
    times in an end-to-end manner, thus balancing the noise and blur across the frames.
    We demonstrate this method’s advantage over the traditional approach of deblurring
    a single image or denoising a fixed-exposure burst on both synthetic and real
    data.
article_processing_charge: No
arxiv: 1
author:
- first_name: Omer
  full_name: Dahary, Omer
  last_name: Dahary
- first_name: Matan
  full_name: Jacoby, Matan
  last_name: Jacoby
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Dahary O, Jacoby M, Bronstein AM. Digital gimbal: End-to-end deep image stabilization
    with learnable exposure times. In: <i>IEEE/CVF Conference on Computer Vision and
    Pattern Recognition</i>. Vol 38. Institute of Electrical and Electronics Engineers;
    2021. doi:<a href="https://doi.org/10.1109/cvpr46437.2021.01176">10.1109/cvpr46437.2021.01176</a>'
  apa: 'Dahary, O., Jacoby, M., &#38; Bronstein, A. M. (2021). Digital gimbal: End-to-end
    deep image stabilization with learnable exposure times. In <i>IEEE/CVF Conference
    on Computer Vision and Pattern Recognition</i> (Vol. 38). Nashville, TN, United
    States: Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/cvpr46437.2021.01176">https://doi.org/10.1109/cvpr46437.2021.01176</a>'
  chicago: 'Dahary, Omer, Matan Jacoby, and Alex M. Bronstein. “Digital Gimbal: End-to-End
    Deep Image Stabilization with Learnable Exposure Times.” In <i>IEEE/CVF Conference
    on Computer Vision and Pattern Recognition</i>, Vol. 38. Institute of Electrical
    and Electronics Engineers, 2021. <a href="https://doi.org/10.1109/cvpr46437.2021.01176">https://doi.org/10.1109/cvpr46437.2021.01176</a>.'
  ieee: 'O. Dahary, M. Jacoby, and A. M. Bronstein, “Digital gimbal: End-to-end deep
    image stabilization with learnable exposure times,” in <i>IEEE/CVF Conference
    on Computer Vision and Pattern Recognition</i>, Nashville, TN, United States,
    2021, vol. 38.'
  ista: 'Dahary O, Jacoby M, Bronstein AM. 2021. Digital gimbal: End-to-end deep image
    stabilization with learnable exposure times. IEEE/CVF Conference on Computer Vision
    and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition
    vol. 38.'
  mla: 'Dahary, Omer, et al. “Digital Gimbal: End-to-End Deep Image Stabilization
    with Learnable Exposure Times.” <i>IEEE/CVF Conference on Computer Vision and
    Pattern Recognition</i>, vol. 38, Institute of Electrical and Electronics Engineers,
    2021, doi:<a href="https://doi.org/10.1109/cvpr46437.2021.01176">10.1109/cvpr46437.2021.01176</a>.'
  short: O. Dahary, M. Jacoby, A.M. Bronstein, in:, IEEE/CVF Conference on Computer
    Vision and Pattern Recognition, Institute of Electrical and Electronics Engineers,
    2021.
conference:
  end_date: 2021-06-25
  location: Nashville, TN, United States
  name: 'CVPR: Conference on Computer Vision and Pattern Recognition'
  start_date: 2021-06-20
date_created: 2024-10-08T13:02:53Z
date_published: 2021-06-30T00:00:00Z
date_updated: 2024-10-15T08:42:37Z
day: '30'
doi: 10.1109/cvpr46437.2021.01176
extern: '1'
external_id:
  arxiv:
  - '2012.04515'
intvolume: '        38'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2012.04515
month: '06'
oa: 1
oa_version: Preprint
publication: IEEE/CVF Conference on Computer Vision and Pattern Recognition
publication_identifier:
  eisbn:
  - '9781665445092'
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Digital gimbal: End-to-end deep image stabilization with learnable exposure
  times'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 38
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '18241'
abstract:
- lang: eng
  text: Multiple-input multiple-output (MIMO) radar is one of the leading depth sensing
    modalities. However, the usage of multiple receive channels lead to relative high
    costs and prevent the penetration of MIMOs in many areas such as the automotive
    industry. Over the last years, few studies concentrated on designing reduced measurement
    schemes and image reconstruction schemes for MIMO radars, however these problems
    have been so far addressed separately. On the other hand, recent works in optical
    computational imaging have demonstrated growing success of simultaneous learning-based
    design of the acquisition and reconstruction schemes, manifesting significant
    improvement in the reconstruction quality. Inspired by these successes, in this
    work, we propose to learn MIMO acquisition parameters in the form of receive (Rx)
    antenna elements locations jointly with an image neural-network based reconstruction.
    To this end, we propose an algorithm for training the combined acquisition-reconstruction
    pipeline end-to-end in a differentiable way. We demonstrate the significance of
    using our learned acquisition parameters with and without the neural-network reconstruction.
    Code and datasets will be released upon publication.
article_processing_charge: No
arxiv: 1
author:
- first_name: Tomer
  full_name: Weiss, Tomer
  last_name: Weiss
- first_name: Nissim
  full_name: Peretz, Nissim
  last_name: Peretz
- first_name: Sanketh
  full_name: Vedula, Sanketh
  last_name: Vedula
- first_name: Arie
  full_name: Feuer, Arie
  last_name: Feuer
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Weiss T, Peretz N, Vedula S, Feuer A, Bronstein AM. Joint optimization of
    system design and reconstruction in MIMO radar imaging. In: <i>31st International
    Workshop on Machine Learning for Signal Processing</i>. Vol 4. Institute of Electrical
    and Electronics Engineers; 2021. doi:<a href="https://doi.org/10.1109/mlsp52302.2021.9596168">10.1109/mlsp52302.2021.9596168</a>'
  apa: 'Weiss, T., Peretz, N., Vedula, S., Feuer, A., &#38; Bronstein, A. M. (2021).
    Joint optimization of system design and reconstruction in MIMO radar imaging.
    In <i>31st International Workshop on Machine Learning for Signal Processing</i>
    (Vol. 4). Gold Coast, Australia: Institute of Electrical and Electronics Engineers.
    <a href="https://doi.org/10.1109/mlsp52302.2021.9596168">https://doi.org/10.1109/mlsp52302.2021.9596168</a>'
  chicago: Weiss, Tomer, Nissim Peretz, Sanketh Vedula, Arie Feuer, and Alex M. Bronstein.
    “Joint Optimization of System Design and Reconstruction in MIMO Radar Imaging.”
    In <i>31st International Workshop on Machine Learning for Signal Processing</i>,
    Vol. 4. Institute of Electrical and Electronics Engineers, 2021. <a href="https://doi.org/10.1109/mlsp52302.2021.9596168">https://doi.org/10.1109/mlsp52302.2021.9596168</a>.
  ieee: T. Weiss, N. Peretz, S. Vedula, A. Feuer, and A. M. Bronstein, “Joint optimization
    of system design and reconstruction in MIMO radar imaging,” in <i>31st International
    Workshop on Machine Learning for Signal Processing</i>, Gold Coast, Australia,
    2021, vol. 4.
  ista: 'Weiss T, Peretz N, Vedula S, Feuer A, Bronstein AM. 2021. Joint optimization
    of system design and reconstruction in MIMO radar imaging. 31st International
    Workshop on Machine Learning for Signal Processing. MLSP: Machine Learning for
    Signal Processing vol. 4.'
  mla: Weiss, Tomer, et al. “Joint Optimization of System Design and Reconstruction
    in MIMO Radar Imaging.” <i>31st International Workshop on Machine Learning for
    Signal Processing</i>, vol. 4, Institute of Electrical and Electronics Engineers,
    2021, doi:<a href="https://doi.org/10.1109/mlsp52302.2021.9596168">10.1109/mlsp52302.2021.9596168</a>.
  short: T. Weiss, N. Peretz, S. Vedula, A. Feuer, A.M. Bronstein, in:, 31st International
    Workshop on Machine Learning for Signal Processing, Institute of Electrical and
    Electronics Engineers, 2021.
conference:
  end_date: 2021-10-28
  location: Gold Coast, Australia
  name: 'MLSP: Machine Learning for Signal Processing'
  start_date: 2021-10-25
date_created: 2024-10-08T13:03:09Z
date_published: 2021-10-01T00:00:00Z
date_updated: 2024-10-16T09:41:11Z
day: '01'
doi: 10.1109/mlsp52302.2021.9596168
extern: '1'
external_id:
  arxiv:
  - '2110.03218'
intvolume: '         4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2110.03218
month: '10'
oa: 1
oa_version: Preprint
publication: 31st International Workshop on Machine Learning for Signal Processing
publication_identifier:
  eisbn:
  - '9781728163383'
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Joint optimization of system design and reconstruction in MIMO radar imaging
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 4
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '18242'
abstract:
- lang: eng
  text: Fiber tractography is an important tool of computational neuroscience that
    enables reconstructing the spatial connectivity and organization of white matter
    of the brain. Fiber tractography takes advantage of diffusion Magnetic Resonance
    Imaging (dMRI) which allows measuring the apparent diffusivity of cerebral water
    along different spatial directions. Unfortunately, collecting such data comes
    at the price of reduced spatial resolution and substantially elevated acquisition
    times, which limits the clinical applicability of dMRI. This problem has been
    thus far addressed using two principal strategies. Most of the efforts have been
    extended towards improving the quality of signal estimation for any, yet fixed
    sampling scheme (defined through the choice of diffusion-encoding gradients).
    On the other hand, optimization over the sampling scheme has also proven to be
    effective. Inspired by the previous results, the present work consolidates the
    above strategies into a unified estimation framework, in which the optimization
    is carried out with respect to both estimation model and sampling design concurrently.
    The proposed solution offers substantial improvements in the quality of signal
    estimation as well as the accuracy of ensuing analysis by means of fiber tractography.
    While proving the optimality of the learned estimation models would probably need
    more extensive evaluation, we nevertheless claim that the learned sampling schemes
    can be of immediate use, offering a way to improve the dMRI analysis without the
    necessity of deploying the neural network used for their estimation. We present
    a comprehensive comparative analysis based on the Human Connectome Project data.
    Code and learned sampling designs available at https://github.com/tomer196/Learned_dMRI.
alternative_title:
- Mathematics and Visualization
article_processing_charge: No
arxiv: 1
author:
- first_name: Tomer
  full_name: Weiss, Tomer
  last_name: Weiss
- first_name: Sanketh
  full_name: Vedula, Sanketh
  last_name: Vedula
- first_name: Ortal
  full_name: Senouf, Ortal
  last_name: Senouf
- first_name: Oleg
  full_name: Michailovich, Oleg
  last_name: Michailovich
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Weiss T, Vedula S, Senouf O, Michailovich O, Bronstein AM. Towards learned
    optimal q-space sampling in diffusion MRI. In: Gyori N, Hutter J, Nath V, Palombo
    M, Pizzolato M, Zhang F, eds. <i>Computational Diffusion MRI</i>. Cham: Springer
    Nature; 2021:13-28. doi:<a href="https://doi.org/10.1007/978-3-030-73018-5_2">10.1007/978-3-030-73018-5_2</a>'
  apa: 'Weiss, T., Vedula, S., Senouf, O., Michailovich, O., &#38; Bronstein, A. M.
    (2021). Towards learned optimal q-space sampling in diffusion MRI. In N. Gyori,
    J. Hutter, V. Nath, M. Palombo, M. Pizzolato, &#38; F. Zhang (Eds.), <i>Computational
    Diffusion MRI</i> (pp. 13–28). Cham: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-73018-5_2">https://doi.org/10.1007/978-3-030-73018-5_2</a>'
  chicago: 'Weiss, Tomer, Sanketh Vedula, Ortal Senouf, Oleg Michailovich, and Alex
    M. Bronstein. “Towards Learned Optimal Q-Space Sampling in Diffusion MRI.” In
    <i>Computational Diffusion MRI</i>, edited by Noemi Gyori, Jana Hutter, Vishwesh
    Nath, Marco Palombo, Marco Pizzolato, and Fan Zhang, 13–28. Cham: Springer Nature,
    2021. <a href="https://doi.org/10.1007/978-3-030-73018-5_2">https://doi.org/10.1007/978-3-030-73018-5_2</a>.'
  ieee: 'T. Weiss, S. Vedula, O. Senouf, O. Michailovich, and A. M. Bronstein, “Towards
    learned optimal q-space sampling in diffusion MRI,” in <i>Computational Diffusion
    MRI</i>, N. Gyori, J. Hutter, V. Nath, M. Palombo, M. Pizzolato, and F. Zhang,
    Eds. Cham: Springer Nature, 2021, pp. 13–28.'
  ista: 'Weiss T, Vedula S, Senouf O, Michailovich O, Bronstein AM. 2021.Towards learned
    optimal q-space sampling in diffusion MRI. In: Computational Diffusion MRI. Mathematics
    and Visualization, , 13–28.'
  mla: Weiss, Tomer, et al. “Towards Learned Optimal Q-Space Sampling in Diffusion
    MRI.” <i>Computational Diffusion MRI</i>, edited by Noemi Gyori et al., Springer
    Nature, 2021, pp. 13–28, doi:<a href="https://doi.org/10.1007/978-3-030-73018-5_2">10.1007/978-3-030-73018-5_2</a>.
  short: T. Weiss, S. Vedula, O. Senouf, O. Michailovich, A.M. Bronstein, in:, N.
    Gyori, J. Hutter, V. Nath, M. Palombo, M. Pizzolato, F. Zhang (Eds.), Computational
    Diffusion MRI, Springer Nature, Cham, 2021, pp. 13–28.
conference:
  end_date: 2020-10-08
  location: Lima, Peru/Virtual
  name: 'MICCAI: Conference on Medical Image Computing and Computer-Assisted Intervention'
  start_date: 2020-10-08
date_created: 2024-10-08T13:03:26Z
date_published: 2021-09-30T00:00:00Z
date_updated: 2024-10-16T09:51:45Z
day: '30'
doi: 10.1007/978-3-030-73018-5_2
editor:
- first_name: Noemi
  full_name: Gyori, Noemi
  last_name: Gyori
- first_name: Jana
  full_name: Hutter, Jana
  last_name: Hutter
- first_name: Vishwesh
  full_name: Nath, Vishwesh
  last_name: Nath
- first_name: Marco
  full_name: Palombo, Marco
  last_name: Palombo
- first_name: Marco
  full_name: Pizzolato, Marco
  last_name: Pizzolato
- first_name: Fan
  full_name: Zhang, Fan
  last_name: Zhang
extern: '1'
external_id:
  arxiv:
  - '2009.03008'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2009.03008
month: '09'
oa: 1
oa_version: Preprint
page: 13-28
place: Cham
publication: Computational Diffusion MRI
publication_identifier:
  eisbn:
  - '9783030730185'
  isbn:
  - '9783030730178'
  issn:
  - 1612-3786
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/tomer196/Learned_dMRI
scopus_import: '1'
status: public
title: Towards learned optimal q-space sampling in diffusion MRI
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '18243'
abstract:
- lang: eng
  text: "What is the best way to match the nodes of two graphs? This graph alignment
    problem generalizes graph isomorphism and arises in applications from social network
    analysis to bioinformatics. Existing solutions either require auxiliary information
    such as node attributes, or provide a single-scale view of the graph by translating
    the problem into aligning node embeddings.\r\n\r\nIn this paper, we transfer the
    shape-analysis concept of functional maps from the continuous to the discrete
    case, and treat the graph alignment problem as a special case of the problem of
    finding a mapping between functions on graphs. We present GRASP, a method that
    captures multiscale structural characteristics from the eigenvectors of the graph’s
    Laplacian and uses this information to align two graphs.Our experimental study,
    featuring noise levels higher than anything used in previous studies, shows that
    GRASP outperforms state-of-the-art methods for graph alignment across noise levels
    and graph types."
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Judith
  full_name: Hermanns, Judith
  last_name: Hermanns
- first_name: Anton
  full_name: Tsitsulin, Anton
  last_name: Tsitsulin
- first_name: Marina
  full_name: Munkhoeva, Marina
  last_name: Munkhoeva
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Davide
  full_name: Mottin, Davide
  last_name: Mottin
- first_name: Panagiotis
  full_name: Karras, Panagiotis
  last_name: Karras
citation:
  ama: 'Hermanns J, Tsitsulin A, Munkhoeva M, Bronstein AM, Mottin D, Karras P. GRASP:
    Graph alignment through spectral signatures. In: <i>International Joint Conference
    on Asia-Paciﬁc Web and Web-Age Information Management</i>. Vol 12858. Springer
    Nature; 2021:44-52. doi:<a href="https://doi.org/10.1007/978-3-030-85896-4_4">10.1007/978-3-030-85896-4_4</a>'
  apa: 'Hermanns, J., Tsitsulin, A., Munkhoeva, M., Bronstein, A. M., Mottin, D.,
    &#38; Karras, P. (2021). GRASP: Graph alignment through spectral signatures. In
    <i>International Joint Conference on Asia-Paciﬁc Web and Web-Age Information Management</i>
    (Vol. 12858, pp. 44–52). Guangzhou, China: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-85896-4_4">https://doi.org/10.1007/978-3-030-85896-4_4</a>'
  chicago: 'Hermanns, Judith, Anton Tsitsulin, Marina Munkhoeva, Alex M. Bronstein,
    Davide Mottin, and Panagiotis Karras. “GRASP: Graph Alignment through Spectral
    Signatures.” In <i>International Joint Conference on Asia-Paciﬁc Web and Web-Age
    Information Management</i>, 12858:44–52. Springer Nature, 2021. <a href="https://doi.org/10.1007/978-3-030-85896-4_4">https://doi.org/10.1007/978-3-030-85896-4_4</a>.'
  ieee: 'J. Hermanns, A. Tsitsulin, M. Munkhoeva, A. M. Bronstein, D. Mottin, and
    P. Karras, “GRASP: Graph alignment through spectral signatures,” in <i>International
    Joint Conference on Asia-Paciﬁc Web and Web-Age Information Management</i>, Guangzhou,
    China, 2021, vol. 12858, no. Part I, pp. 44–52.'
  ista: 'Hermanns J, Tsitsulin A, Munkhoeva M, Bronstein AM, Mottin D, Karras P. 2021.
    GRASP: Graph alignment through spectral signatures. International Joint Conference
    on Asia-Paciﬁc Web and Web-Age Information Management. APWeb-WAIM: International
    Joint Conference on Asia-Paciﬁc Web and Web-Age Information Management, LNCS,
    vol. 12858, 44–52.'
  mla: 'Hermanns, Judith, et al. “GRASP: Graph Alignment through Spectral Signatures.”
    <i>International Joint Conference on Asia-Paciﬁc Web and Web-Age Information Management</i>,
    vol. 12858, no. Part I, Springer Nature, 2021, pp. 44–52, doi:<a href="https://doi.org/10.1007/978-3-030-85896-4_4">10.1007/978-3-030-85896-4_4</a>.'
  short: J. Hermanns, A. Tsitsulin, M. Munkhoeva, A.M. Bronstein, D. Mottin, P. Karras,
    in:, International Joint Conference on Asia-Paciﬁc Web and Web-Age Information
    Management, Springer Nature, 2021, pp. 44–52.
conference:
  end_date: 2021-08-25
  location: Guangzhou, China
  name: 'APWeb-WAIM: International Joint Conference on Asia-Paciﬁc Web and Web-Age
    Information Management'
  start_date: 2021-08-23
date_created: 2024-10-08T13:03:44Z
date_published: 2021-08-19T00:00:00Z
date_updated: 2025-01-29T09:57:31Z
day: '19'
doi: 10.1007/978-3-030-85896-4_4
extern: '1'
intvolume: '     12858'
issue: Part I
language:
- iso: eng
month: '08'
oa_version: None
page: 44 - 52
publication: International Joint Conference on Asia-Paciﬁc Web and Web-Age Information
  Management
publication_identifier:
  isbn:
  - '9783030858957'
  - '9783030858964'
  issn:
  - 0302-9743
  - 1611-3349
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'GRASP: Graph alignment through spectral signatures'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 12858
year: '2021'
...
---
_id: '18244'
abstract:
- lang: eng
  text: Some face recognition methods are designed to utilize geometric information
    extracted from depth sensors to overcome the weaknesses of single-image based
    recognition technologies. However, the accurate acquisition of the depth profile
    is an expensive and challenging process. Here, we introduce a novel method that
    learns to recognize faces from stereo camera systems without the need to explicitly
    compute the facial surface or depth map. The raw face stereo images along with
    the location in the image from which the face is extracted allow the proposed
    CNN to improve the recognition task while avoiding the need to explicitly handle
    the geometric structure of the face. This way, we keep the simplicity and cost
    efficiency of identity authentication from a single image, while enjoying the
    benefits of geometric data without explicitly reconstructing it. We demonstrate
    that the suggested method outperforms both existing single-image and explicit
    depth based methods on largescale benchmarks, and even capable of recognize spoofing
    attacks. We also provide an ablation study that shows that the suggested method
    uses the face locations in the left and right images to encode informative features
    that improve the overall performance.
article_number: '9320359'
article_processing_charge: No
arxiv: 1
author:
- first_name: Amir
  full_name: Livne, Amir
  last_name: Livne
- first_name: Ziv
  full_name: Aviv, Ziv
  last_name: Aviv
- first_name: Shahaf
  full_name: Grofit, Shahaf
  last_name: Grofit
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Ron
  full_name: Kimmel, Ron
  last_name: Kimmel
citation:
  ama: 'Livne A, Aviv Z, Grofit S, Bronstein AM, Kimmel R. Do we need depth in state-uf-the-art
    face authentication? In: <i>2020 International Conference on 3D Vision (3DV)</i>.
    IEEE; 2021. doi:<a href="https://doi.org/10.1109/3dv50981.2020.00099">10.1109/3dv50981.2020.00099</a>'
  apa: 'Livne, A., Aviv, Z., Grofit, S., Bronstein, A. M., &#38; Kimmel, R. (2021).
    Do we need depth in state-uf-the-art face authentication? In <i>2020 International
    Conference on 3D Vision (3DV)</i>. Fukuoka, Japan: IEEE. <a href="https://doi.org/10.1109/3dv50981.2020.00099">https://doi.org/10.1109/3dv50981.2020.00099</a>'
  chicago: Livne, Amir, Ziv Aviv, Shahaf Grofit, Alex M. Bronstein, and Ron Kimmel.
    “Do We Need Depth in State-Uf-the-Art Face Authentication?” In <i>2020 International
    Conference on 3D Vision (3DV)</i>. IEEE, 2021. <a href="https://doi.org/10.1109/3dv50981.2020.00099">https://doi.org/10.1109/3dv50981.2020.00099</a>.
  ieee: A. Livne, Z. Aviv, S. Grofit, A. M. Bronstein, and R. Kimmel, “Do we need
    depth in state-uf-the-art face authentication?,” in <i>2020 International Conference
    on 3D Vision (3DV)</i>, Fukuoka, Japan, 2021.
  ista: Livne A, Aviv Z, Grofit S, Bronstein AM, Kimmel R. 2021. Do we need depth
    in state-uf-the-art face authentication? 2020 International Conference on 3D Vision
    (3DV). 8th International Conference on 3D Vision, 9320359.
  mla: Livne, Amir, et al. “Do We Need Depth in State-Uf-the-Art Face Authentication?”
    <i>2020 International Conference on 3D Vision (3DV)</i>, 9320359, IEEE, 2021,
    doi:<a href="https://doi.org/10.1109/3dv50981.2020.00099">10.1109/3dv50981.2020.00099</a>.
  short: A. Livne, Z. Aviv, S. Grofit, A.M. Bronstein, R. Kimmel, in:, 2020 International
    Conference on 3D Vision (3DV), IEEE, 2021.
conference:
  end_date: 2020-11-28
  location: Fukuoka, Japan
  name: 8th International Conference on 3D Vision
  start_date: 2020-11-25
date_created: 2024-10-08T13:04:02Z
date_published: 2021-01-19T00:00:00Z
date_updated: 2024-12-12T10:10:29Z
day: '19'
doi: 10.1109/3dv50981.2020.00099
extern: '1'
external_id:
  arxiv:
  - '2003.10895'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2003.10895
month: '01'
oa: 1
oa_version: Preprint
publication: 2020 International Conference on 3D Vision (3DV)
publication_identifier:
  eissn:
  - 2475-7888
  isbn:
  - '9781728181295'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Do we need depth in state-uf-the-art face authentication?
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '22063'
abstract:
- lang: eng
  text: 'We consider two discrete completely integrable evolutions: the Toda Lattice
    and the Ablowitz–Ladik system. The principal thrust of the paper is the development
    of microscopic conservation laws that witness the conservation of the perturbation
    determinant under these dynamics. In this way, we obtain discrete analogues of
    objects that we found essential in our recent analyses of KdV, NLS, and mKdV.
    In concert with this, we revisit the classical topic of microscopic conservation
    laws attendant to the (renormalized) trace of the Green’s function.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Benjamin
  full_name: Harrop-Griffiths, Benjamin
  last_name: Harrop-Griffiths
- 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: Harrop-Griffiths B, Killip R, Vişan M. Microscopic conservation laws for integrable
    lattice models. <i>Monatshefte für Mathematik</i>. 2021;196(3):477-504. doi:<a
    href="https://doi.org/10.1007/s00605-021-01529-5">10.1007/s00605-021-01529-5</a>
  apa: Harrop-Griffiths, B., Killip, R., &#38; Vişan, M. (2021). Microscopic conservation
    laws for integrable lattice models. <i>Monatshefte Für Mathematik</i>. Springer
    Nature. <a href="https://doi.org/10.1007/s00605-021-01529-5">https://doi.org/10.1007/s00605-021-01529-5</a>
  chicago: Harrop-Griffiths, Benjamin, Rowan Killip, and Monica Vişan. “Microscopic
    Conservation Laws for Integrable Lattice Models.” <i>Monatshefte Für Mathematik</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s00605-021-01529-5">https://doi.org/10.1007/s00605-021-01529-5</a>.
  ieee: B. Harrop-Griffiths, R. Killip, and M. Vişan, “Microscopic conservation laws
    for integrable lattice models,” <i>Monatshefte für Mathematik</i>, vol. 196, no.
    3. Springer Nature, pp. 477–504, 2021.
  ista: Harrop-Griffiths B, Killip R, Vişan M. 2021. Microscopic conservation laws
    for integrable lattice models. Monatshefte für Mathematik. 196(3), 477–504.
  mla: Harrop-Griffiths, Benjamin, et al. “Microscopic Conservation Laws for Integrable
    Lattice Models.” <i>Monatshefte Für Mathematik</i>, vol. 196, no. 3, Springer
    Nature, 2021, pp. 477–504, doi:<a href="https://doi.org/10.1007/s00605-021-01529-5">10.1007/s00605-021-01529-5</a>.
  short: B. Harrop-Griffiths, R. Killip, M. Vişan, Monatshefte Für Mathematik 196
    (2021) 477–504.
das_tickbox: '1'
date_created: 2026-06-19T08:12:18Z
date_published: 2021-11-01T00:00:00Z
date_updated: 2026-06-30T07:03:12Z
day: '01'
doi: 10.1007/s00605-021-01529-5
extern: '1'
external_id:
  arxiv:
  - '2012.04782'
intvolume: '       196'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2012.04782
month: '11'
oa: 1
oa_version: Preprint
page: 477-504
publication: Monatshefte für Mathematik
publication_identifier:
  eissn:
  - 1436-5081
  issn:
  - 0026-9255
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Microscopic conservation laws for integrable lattice models
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 196
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '22084'
abstract:
- lang: eng
  text: We consider the nonlinear Schrödinger equation in three space dimensions
    with combined focusing cubic and defocusing quintic nonlinearity. This problem
    was considered previously by Killip et al. [Arch. Ration. Mech. Anal., 225 (2017),
    pp. 469--548], who proved scattering for the whole region of the mass/energy plane
    where the virial quantity is guaranteed to be positive. In this paper, we prove
    scattering in a slightly larger region where, in particular, the virial quantity
    is no longer guaranteed to be sign definite.
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. Scattering for the cubic-quintic NLS: Crossing
    the virial threshold. <i>SIAM Journal on Mathematical Analysis</i>. 2021;53(5):5803-5812.
    doi:<a href="https://doi.org/10.1137/20m1381824">10.1137/20m1381824</a>'
  apa: 'Killip, R., Murphy, J., &#38; Vişan, M. (2021). Scattering for the cubic-quintic
    NLS: Crossing the virial threshold. <i>SIAM Journal on Mathematical Analysis</i>.
    Society for Industrial &#38; Applied Mathematics. <a href="https://doi.org/10.1137/20m1381824">https://doi.org/10.1137/20m1381824</a>'
  chicago: 'Killip, Rowan, Jason Murphy, and Monica Vişan. “Scattering for the Cubic-Quintic
    NLS: Crossing the Virial Threshold.” <i>SIAM Journal on Mathematical Analysis</i>.
    Society for Industrial &#38; Applied Mathematics, 2021. <a href="https://doi.org/10.1137/20m1381824">https://doi.org/10.1137/20m1381824</a>.'
  ieee: 'R. Killip, J. Murphy, and M. Vişan, “Scattering for the cubic-quintic NLS:
    Crossing the virial threshold,” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 53, no. 5. Society for Industrial &#38; Applied Mathematics, pp. 5803–5812,
    2021.'
  ista: 'Killip R, Murphy J, Vişan M. 2021. Scattering for the cubic-quintic NLS:
    Crossing the virial threshold. SIAM Journal on Mathematical Analysis. 53(5), 5803–5812.'
  mla: 'Killip, Rowan, et al. “Scattering for the Cubic-Quintic NLS: Crossing the
    Virial Threshold.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 53, no.
    5, Society for Industrial &#38; Applied Mathematics, 2021, pp. 5803–12, doi:<a
    href="https://doi.org/10.1137/20m1381824">10.1137/20m1381824</a>.'
  short: R. Killip, J. Murphy, M. Vişan, SIAM Journal on Mathematical Analysis 53
    (2021) 5803–5812.
das_tickbox: '1'
date_created: 2026-06-19T08:28:23Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2026-07-01T07:37:46Z
day: '01'
doi: 10.1137/20m1381824
extern: '1'
external_id:
  arxiv:
  - '2007.07406'
intvolume: '        53'
issue: '5'
keyword:
- NLS
- scattering
- viral
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2007.07406
mathsc:
- 35Q55
month: '01'
oa: 1
oa_version: Preprint
page: 5803-5812
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
  eissn:
  - 1095-7154
  issn:
  - 0036-1410
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Scattering for the cubic-quintic NLS: Crossing the virial threshold'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 53
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '22087'
abstract:
- lang: eng
  text: "We prove that solutions of the cubic nonlinear Schrödinger equation on $\\Bbb{R}^2$
    can be approximated by a finite-dimensional Hamiltonian system, uniformly on bounded
    sets of initial data. This is despite the wealth of non-compact symmetries: scaling,
    translation, and Galilei boosts.\r\n\r\nComplementing this approximation result,
    we show that all solutions of the finite-dimensional Hamiltonian system we use
    can be approximated by the full PDE.\r\n\r\nA key ingredient in these results
    is the development of a general methodology for transfering uniform global space-time
    bounds to suitable Fourier truncations of dispersive PDE models.\r\n\r\nAs an
    application, we prove symplectic non-squeezing (in the sense of Gromov) for the
    cubic NLS on $\\Bbb{R}^2$. This is the first symplectic non-squeezing result for
    a Hamiltonian PDE in infinite volume. It is also the first unconditional symplectic
    non-squeezing result in a scaling-critical setting.\r\n\r\nFinally, we discuss
    implications of non-squeezing on the nature of scattering."
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. Finite-dimensional approximation and non-squeezing
    for the cubic nonlinear Schrödinger equation on ℝ2. <i>American Journal of Mathematics</i>.
    2021;143(2):613-680. doi:<a href="https://doi.org/10.1353/ajm.2021.0014">10.1353/ajm.2021.0014</a>
  apa: Killip, R., Vişan, M., &#38; Zhang, X. (2021). Finite-dimensional approximation
    and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2. <i>American
    Journal of Mathematics</i>. Johns Hopkins University Press. <a href="https://doi.org/10.1353/ajm.2021.0014">https://doi.org/10.1353/ajm.2021.0014</a>
  chicago: Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Finite-Dimensional Approximation
    and Non-Squeezing for the Cubic Nonlinear Schrödinger Equation on ℝ2.” <i>American
    Journal of Mathematics</i>. Johns Hopkins University Press, 2021. <a href="https://doi.org/10.1353/ajm.2021.0014">https://doi.org/10.1353/ajm.2021.0014</a>.
  ieee: R. Killip, M. Vişan, and X. Zhang, “Finite-dimensional approximation and non-squeezing
    for the cubic nonlinear Schrödinger equation on ℝ2,” <i>American Journal of Mathematics</i>,
    vol. 143, no. 2. Johns Hopkins University Press, pp. 613–680, 2021.
  ista: Killip R, Vişan M, Zhang X. 2021. Finite-dimensional approximation and non-squeezing
    for the cubic nonlinear Schrödinger equation on ℝ2. American Journal of Mathematics.
    143(2), 613–680.
  mla: Killip, Rowan, et al. “Finite-Dimensional Approximation and Non-Squeezing for
    the Cubic Nonlinear Schrödinger Equation on ℝ2.” <i>American Journal of Mathematics</i>,
    vol. 143, no. 2, Johns Hopkins University Press, 2021, pp. 613–80, doi:<a href="https://doi.org/10.1353/ajm.2021.0014">10.1353/ajm.2021.0014</a>.
  short: R. Killip, M. Vişan, X. Zhang, American Journal of Mathematics 143 (2021)
    613–680.
das_tickbox: '1'
date_created: 2026-06-19T08:46:12Z
date_published: 2021-04-01T00:00:00Z
date_updated: 2026-07-01T12:38:11Z
day: '01'
doi: 10.1353/ajm.2021.0014
extern: '1'
external_id:
  arxiv:
  - '1606.07738'
intvolume: '       143'
issue: '2'
language:
- iso: eng
main_file_link:
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  url: https://doi.org/10.48550/arXiv.1606.07738
month: '04'
oa: 1
oa_version: Preprint
page: 613-680
publication: American Journal of Mathematics
publication_identifier:
  eissn:
  - 1080-6377
publication_status: published
publisher: Johns Hopkins University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finite-dimensional approximation and non-squeezing for the cubic nonlinear
  Schrödinger equation on ℝ2
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 143
year: '2021'
...
