---
_id: '915'
abstract:
- lang: eng
  text: We propose a dual decomposition and linear program relaxation of the NP-hard
    minimum cost multicut problem. Unlike other polyhedral relaxations of the multicut
    polytope, it is amenable to efficient optimization by message passing. Like other
    polyhedral relaxations, it can be tightened efficiently by cutting planes.  We
    define an algorithm that alternates between message passing and efficient separation
    of cycle- and odd-wheel inequalities. This algorithm is more efficient than state-of-the-art
    algorithms based on linear programming, including algorithms written in the framework
    of leading commercial software, as we show in experiments with large instances
    of the problem from applications in computer vision, biomedical image analysis
    and data mining.
article_processing_charge: No
author:
- first_name: Paul
  full_name: Swoboda, Paul
  id: 446560C6-F248-11E8-B48F-1D18A9856A87
  last_name: Swoboda
- first_name: Bjoern
  full_name: Andres, Bjoern
  last_name: Andres
citation:
  ama: 'Swoboda P, Andres B. A message passing algorithm for the minimum cost multicut
    problem. In: Vol 2017. IEEE; 2017:4990-4999. doi:<a href="https://doi.org/10.1109/CVPR.2017.530">10.1109/CVPR.2017.530</a>'
  apa: 'Swoboda, P., &#38; Andres, B. (2017). A message passing algorithm for the
    minimum cost multicut problem (Vol. 2017, pp. 4990–4999). Presented at the CVPR:
    Computer Vision and Pattern Recognition, Honolulu, HA, United States: IEEE. <a
    href="https://doi.org/10.1109/CVPR.2017.530">https://doi.org/10.1109/CVPR.2017.530</a>'
  chicago: Swoboda, Paul, and Bjoern Andres. “A Message Passing Algorithm for the
    Minimum Cost Multicut Problem,” 2017:4990–99. IEEE, 2017. <a href="https://doi.org/10.1109/CVPR.2017.530">https://doi.org/10.1109/CVPR.2017.530</a>.
  ieee: 'P. Swoboda and B. Andres, “A message passing algorithm for the minimum cost
    multicut problem,” presented at the CVPR: Computer Vision and Pattern Recognition,
    Honolulu, HA, United States, 2017, vol. 2017, pp. 4990–4999.'
  ista: 'Swoboda P, Andres B. 2017. A message passing algorithm for the minimum cost
    multicut problem. CVPR: Computer Vision and Pattern Recognition vol. 2017, 4990–4999.'
  mla: Swoboda, Paul, and Bjoern Andres. <i>A Message Passing Algorithm for the Minimum
    Cost Multicut Problem</i>. Vol. 2017, IEEE, 2017, pp. 4990–99, doi:<a href="https://doi.org/10.1109/CVPR.2017.530">10.1109/CVPR.2017.530</a>.
  short: P. Swoboda, B. Andres, in:, IEEE, 2017, pp. 4990–4999.
conference:
  end_date: 2017-07-26
  location: Honolulu, HA, United States
  name: 'CVPR: Computer Vision and Pattern Recognition'
  start_date: 2017-07-21
date_created: 2018-12-11T11:49:11Z
date_published: 2017-07-01T00:00:00Z
date_updated: 2023-09-26T15:43:27Z
day: '01'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.1109/CVPR.2017.530
ec_funded: 1
external_id:
  isi:
  - '000418371405009'
file:
- access_level: open_access
  checksum: 7e51dacefa693574581a32da3eff63dc
  content_type: application/pdf
  creator: dernst
  date_created: 2019-01-18T12:52:46Z
  date_updated: 2020-07-14T12:48:15Z
  file_id: '5849'
  file_name: Swoboda_A_Message_Passing_CVPR_2017_paper.pdf
  file_size: 883264
  relation: main_file
file_date_updated: 2020-07-14T12:48:15Z
has_accepted_license: '1'
intvolume: '      2017'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 4990-4999
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_identifier:
  isbn:
  - 978-153860457-1
publication_status: published
publisher: IEEE
publist_id: '6526'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A message passing algorithm for the minimum cost multicut problem
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2017
year: '2017'
...
---
_id: '916'
abstract:
- lang: eng
  text: We study the quadratic assignment problem, in computer vision also known as
    graph matching. Two leading solvers for this problem optimize the Lagrange decomposition
    duals with sub-gradient and dual ascent (also known as message passing) updates.
    We explore this direction further and propose several additional Lagrangean relaxations
    of the graph matching problem along with corresponding algorithms, which are all
    based on a common dual ascent framework. Our extensive empirical evaluation gives
    several theoretical insights and suggests a new state-of-the-art anytime solver
    for the considered problem. Our improvement over state-of-the-art is particularly
    visible on a new dataset with large-scale sparse problem instances containing
    more than 500 graph nodes each.
article_processing_charge: No
author:
- first_name: Paul
  full_name: Swoboda, Paul
  id: 446560C6-F248-11E8-B48F-1D18A9856A87
  last_name: Swoboda
- first_name: Carsten
  full_name: Rother, Carsten
  last_name: Rother
- first_name: Carsten
  full_name: Abu Alhaija, Carsten
  last_name: Abu Alhaija
- first_name: Dagmar
  full_name: Kainmueller, Dagmar
  last_name: Kainmueller
- first_name: Bogdan
  full_name: Savchynskyy, Bogdan
  last_name: Savchynskyy
citation:
  ama: 'Swoboda P, Rother C, Abu Alhaija C, Kainmueller D, Savchynskyy B. A study
    of lagrangean decompositions and dual ascent solvers for graph matching. In: Vol
    2017. IEEE; 2017:7062-7071. doi:<a href="https://doi.org/10.1109/CVPR.2017.747">10.1109/CVPR.2017.747</a>'
  apa: 'Swoboda, P., Rother, C., Abu Alhaija, C., Kainmueller, D., &#38; Savchynskyy,
    B. (2017). A study of lagrangean decompositions and dual ascent solvers for graph
    matching (Vol. 2017, pp. 7062–7071). Presented at the CVPR: Computer Vision and
    Pattern Recognition, Honolulu, HA, United States: IEEE. <a href="https://doi.org/10.1109/CVPR.2017.747">https://doi.org/10.1109/CVPR.2017.747</a>'
  chicago: Swoboda, Paul, Carsten Rother, Carsten Abu Alhaija, Dagmar Kainmueller,
    and Bogdan Savchynskyy. “A Study of Lagrangean Decompositions and Dual Ascent
    Solvers for Graph Matching,” 2017:7062–71. IEEE, 2017. <a href="https://doi.org/10.1109/CVPR.2017.747">https://doi.org/10.1109/CVPR.2017.747</a>.
  ieee: 'P. Swoboda, C. Rother, C. Abu Alhaija, D. Kainmueller, and B. Savchynskyy,
    “A study of lagrangean decompositions and dual ascent solvers for graph matching,”
    presented at the CVPR: Computer Vision and Pattern Recognition, Honolulu, HA,
    United States, 2017, vol. 2017, pp. 7062–7071.'
  ista: 'Swoboda P, Rother C, Abu Alhaija C, Kainmueller D, Savchynskyy B. 2017. A
    study of lagrangean decompositions and dual ascent solvers for graph matching.
    CVPR: Computer Vision and Pattern Recognition vol. 2017, 7062–7071.'
  mla: Swoboda, Paul, et al. <i>A Study of Lagrangean Decompositions and Dual Ascent
    Solvers for Graph Matching</i>. Vol. 2017, IEEE, 2017, pp. 7062–71, doi:<a href="https://doi.org/10.1109/CVPR.2017.747">10.1109/CVPR.2017.747</a>.
  short: P. Swoboda, C. Rother, C. Abu Alhaija, D. Kainmueller, B. Savchynskyy, in:,
    IEEE, 2017, pp. 7062–7071.
conference:
  end_date: 2017-07-26
  location: Honolulu, HA, United States
  name: 'CVPR: Computer Vision and Pattern Recognition'
  start_date: 2017-07-21
date_created: 2018-12-11T11:49:11Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2023-09-26T15:41:40Z
day: '01'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.1109/CVPR.2017.747
ec_funded: 1
external_id:
  isi:
  - '000418371407018'
file:
- access_level: open_access
  checksum: e38a2740daad1ea178465843b5072906
  content_type: application/pdf
  creator: dernst
  date_created: 2019-01-18T12:49:38Z
  date_updated: 2020-07-14T12:48:15Z
  file_id: '5848'
  file_name: 2017_CVPR_Swoboda2.pdf
  file_size: 944332
  relation: main_file
file_date_updated: 2020-07-14T12:48:15Z
has_accepted_license: '1'
intvolume: '      2017'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 7062-7071
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_identifier:
  isbn:
  - 978-153860457-1
publication_status: published
publisher: IEEE
publist_id: '6525'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A study of lagrangean decompositions and dual ascent solvers for graph matching
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2017
year: '2017'
...
---
_id: '917'
abstract:
- lang: eng
  text: We  propose  a  general  dual  ascent  framework  for  Lagrangean decomposition
    of combinatorial problems.  Although methods of this type have shown their efficiency
    for a number of problems, so far there was no general algorithm applicable to
    multiple problem types. In this work, we propose such a general algorithm. It
    depends on several parameters, which can be used to optimize its performance in
    each particular setting. We demonstrate efficacy of our method on graph matching
    and multicut problems, where it outperforms state-of-the-art solvers including
    those based on subgradient optimization and off-the-shelf linear programming solvers.
article_processing_charge: No
author:
- first_name: Paul
  full_name: Swoboda, Paul
  id: 446560C6-F248-11E8-B48F-1D18A9856A87
  last_name: Swoboda
- first_name: Jan
  full_name: Kuske, Jan
  last_name: Kuske
- first_name: Bogdan
  full_name: Savchynskyy, Bogdan
  last_name: Savchynskyy
citation:
  ama: 'Swoboda P, Kuske J, Savchynskyy B. A dual ascent framework for Lagrangean
    decomposition of combinatorial problems. In: Vol 2017. IEEE; 2017:4950-4960. doi:<a
    href="https://doi.org/10.1109/CVPR.2017.526">10.1109/CVPR.2017.526</a>'
  apa: 'Swoboda, P., Kuske, J., &#38; Savchynskyy, B. (2017). A dual ascent framework
    for Lagrangean decomposition of combinatorial problems (Vol. 2017, pp. 4950–4960).
    Presented at the CVPR: Computer Vision and Pattern Recognition, Honolulu, HA,
    United States: IEEE. <a href="https://doi.org/10.1109/CVPR.2017.526">https://doi.org/10.1109/CVPR.2017.526</a>'
  chicago: Swoboda, Paul, Jan Kuske, and Bogdan Savchynskyy. “A Dual Ascent Framework
    for Lagrangean Decomposition of Combinatorial Problems,” 2017:4950–60. IEEE, 2017.
    <a href="https://doi.org/10.1109/CVPR.2017.526">https://doi.org/10.1109/CVPR.2017.526</a>.
  ieee: 'P. Swoboda, J. Kuske, and B. Savchynskyy, “A dual ascent framework for Lagrangean
    decomposition of combinatorial problems,” presented at the CVPR: Computer Vision
    and Pattern Recognition, Honolulu, HA, United States, 2017, vol. 2017, pp. 4950–4960.'
  ista: 'Swoboda P, Kuske J, Savchynskyy B. 2017. A dual ascent framework for Lagrangean
    decomposition of combinatorial problems. CVPR: Computer Vision and Pattern Recognition
    vol. 2017, 4950–4960.'
  mla: Swoboda, Paul, et al. <i>A Dual Ascent Framework for Lagrangean Decomposition
    of Combinatorial Problems</i>. Vol. 2017, IEEE, 2017, pp. 4950–60, doi:<a href="https://doi.org/10.1109/CVPR.2017.526">10.1109/CVPR.2017.526</a>.
  short: P. Swoboda, J. Kuske, B. Savchynskyy, in:, IEEE, 2017, pp. 4950–4960.
conference:
  end_date: 2017-07-26
  location: Honolulu, HA, United States
  name: 'CVPR: Computer Vision and Pattern Recognition'
  start_date: 2017-07-21
date_created: 2018-12-11T11:49:11Z
date_published: 2017-07-01T00:00:00Z
date_updated: 2023-09-26T15:41:11Z
day: '01'
ddc:
- '000'
department:
- _id: VlKo
doi: 10.1109/CVPR.2017.526
ec_funded: 1
external_id:
  isi:
  - '000418371405005'
file:
- access_level: open_access
  checksum: 72fd291046bd8e5717961bd68f6b6f03
  content_type: application/pdf
  creator: dernst
  date_created: 2019-01-18T12:45:55Z
  date_updated: 2020-07-14T12:48:15Z
  file_id: '5847'
  file_name: 2017_CVPR_Swoboda.pdf
  file_size: 898652
  relation: main_file
file_date_updated: 2020-07-14T12:48:15Z
has_accepted_license: '1'
intvolume: '      2017'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 4950-4960
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_identifier:
  isbn:
  - 978-153860457-1
publication_status: published
publisher: IEEE
publist_id: '6524'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A dual ascent framework for Lagrangean decomposition of combinatorial problems
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2017
year: '2017'
...
---
_id: '998'
abstract:
- lang: eng
  text: 'A major open problem on the road to artificial intelligence is the development
    of incrementally learning systems that learn about more and more concepts over
    time from a stream of data. In this work, we introduce a new training strategy,
    iCaRL, that allows learning in such a class-incremental way: only the training
    data for a small number of classes has to be present at the same time and new
    classes can be added progressively. iCaRL learns strong classifiers and a data
    representation simultaneously. This distinguishes it from earlier works that were
    fundamentally limited to fixed data representations and therefore incompatible
    with deep learning architectures. We show by experiments on CIFAR-100 and ImageNet
    ILSVRC 2012 data that iCaRL can learn many classes incrementally over a long period
    of time where other strategies quickly fail. '
article_processing_charge: No
author:
- first_name: Sylvestre Alvise
  full_name: Rebuffi, Sylvestre Alvise
  last_name: Rebuffi
- first_name: Alexander
  full_name: Kolesnikov, Alexander
  id: 2D157DB6-F248-11E8-B48F-1D18A9856A87
  last_name: Kolesnikov
- first_name: Georg
  full_name: Sperl, Georg
  id: 4DD40360-F248-11E8-B48F-1D18A9856A87
  last_name: Sperl
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: 'Rebuffi SA, Kolesnikov A, Sperl G, Lampert C. iCaRL: Incremental classifier
    and representation learning. In: Vol 2017. IEEE; 2017:5533-5542. doi:<a href="https://doi.org/10.1109/CVPR.2017.587">10.1109/CVPR.2017.587</a>'
  apa: 'Rebuffi, S. A., Kolesnikov, A., Sperl, G., &#38; Lampert, C. (2017). iCaRL:
    Incremental classifier and representation learning (Vol. 2017, pp. 5533–5542).
    Presented at the CVPR: Computer Vision and Pattern Recognition, Honolulu, HA,
    United States: IEEE. <a href="https://doi.org/10.1109/CVPR.2017.587">https://doi.org/10.1109/CVPR.2017.587</a>'
  chicago: 'Rebuffi, Sylvestre Alvise, Alexander Kolesnikov, Georg Sperl, and Christoph
    Lampert. “ICaRL: Incremental Classifier and Representation Learning,” 2017:5533–42.
    IEEE, 2017. <a href="https://doi.org/10.1109/CVPR.2017.587">https://doi.org/10.1109/CVPR.2017.587</a>.'
  ieee: 'S. A. Rebuffi, A. Kolesnikov, G. Sperl, and C. Lampert, “iCaRL: Incremental
    classifier and representation learning,” presented at the CVPR: Computer Vision
    and Pattern Recognition, Honolulu, HA, United States, 2017, vol. 2017, pp. 5533–5542.'
  ista: 'Rebuffi SA, Kolesnikov A, Sperl G, Lampert C. 2017. iCaRL: Incremental classifier
    and representation learning. CVPR: Computer Vision and Pattern Recognition vol.
    2017, 5533–5542.'
  mla: 'Rebuffi, Sylvestre Alvise, et al. <i>ICaRL: Incremental Classifier and Representation
    Learning</i>. Vol. 2017, IEEE, 2017, pp. 5533–42, doi:<a href="https://doi.org/10.1109/CVPR.2017.587">10.1109/CVPR.2017.587</a>.'
  short: S.A. Rebuffi, A. Kolesnikov, G. Sperl, C. Lampert, in:, IEEE, 2017, pp. 5533–5542.
conference:
  end_date: 2017-07-26
  location: Honolulu, HA, United States
  name: 'CVPR: Computer Vision and Pattern Recognition'
  start_date: 2017-07-21
date_created: 2018-12-11T11:49:37Z
date_published: 2017-04-14T00:00:00Z
date_updated: 2023-09-22T09:51:58Z
day: '14'
department:
- _id: ChLa
- _id: ChWo
doi: 10.1109/CVPR.2017.587
ec_funded: 1
external_id:
  isi:
  - '000418371405066'
intvolume: '      2017'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1611.07725
month: '04'
oa: 1
oa_version: Submitted Version
page: 5533 - 5542
project:
- _id: 2532554C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '308036'
  name: Lifelong Learning of Visual Scene Understanding
publication_identifier:
  isbn:
  - 978-153860457-1
publication_status: published
publisher: IEEE
publist_id: '6400'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'iCaRL: Incremental classifier and representation learning'
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2017
year: '2017'
...
