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LiftMatch SIGNED

Lifting Methods for Global Matching Problems

Total Cost €

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EC-Contrib. €

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Partnership

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Project "LiftMatch" data sheet

The following table provides information about the project.

Coordinator
WEIZMANN INSTITUTE OF SCIENCE 

Organization address
address: HERZL STREET 234
city: REHOVOT
postcode: 7610001
website: www.weizmann.ac.il

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Total cost 1˙675˙640 €
 EC max contribution 1˙675˙640 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2017-COG
 Funding Scheme ERC-COG
 Starting year 2018
 Duration (year-month-day) from 2018-03-01   to  2023-02-28

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    WEIZMANN INSTITUTE OF SCIENCE IL (REHOVOT) coordinator 1˙675˙640.00

Map

 Project objective

'This proposal presents a research program aimed at breaking new ground in theoretical, algorithmic and practical aspects of the notoriously difficult matching problems. The main goal is developing a unified algorithmic framework for matching problems that enjoys theoretical guarantees and high practical value for ``real-life' applications.

The core methodological aspect is the modelling of matching problems as high-dimensional, lifted convex problems that can be efficiently approximated. We present several case-studies of this methodology, constructing efficient algorithms for approximating the solutions of important instances of the matching problem. The results already demonstrate state of the art performance and are backed-up with novel theoretical analysis proving tightness and correctness of the suggested convexifications for certain classes of non-trivial input.

This proposal has ``high risk - high impact' profile: The ``high-risk' aspect of this proposal comes from the hardness of general matching problems which, when faithfully represented, are NP-hard. However, as we demonstrate, combining convex optimization tools in a careful way, that takes into account computational complexity, is likely to push forward the limits of current algorithmic solutions. The ``High-impact' will be immediate: As matching problems exist in almost every aspect of scientific research, practical generic algorithms for matching problems are likely to have a significant influence.

We believe that the inroads and preliminary results presented in this proposal already provide strong evidence for the potential success of the suggested research program.'

 Publications

year authors and title journal last update
List of publications.
2018 Haggai Maron, Yaron Lipman
(Probably) concave graph matching
published pages: 408--418, ISSN: , DOI:
Advances in Neural Information Processing Systems 2019-11-07
2018 Matan Atzmon, Haggai Maron, Yaron Lipman
Point convolutional neural networks by extension operators
published pages: 1-12, ISSN: 0730-0301, DOI: 10.1145/3197517.3201301
ACM Transactions on Graphics 37/4 2019-11-07
2019 Haggai Maron, Ethan Fetaya, Nimrod Segol, Yaron Lipman
On the Universality of Invariant Networks
published pages: , ISSN: , DOI:
International Conference on Machine Learning (ICML) 2019 2019-11-07
2019 Nadav Dym, Raz Slutsky, Yaron Lipman
Linear variational principle for Riemann mappings and discrete conformality
published pages: 732-737, ISSN: 0027-8424, DOI: 10.1073/pnas.1809731116
Proceedings of the National Academy of Sciences 116/3 2019-11-07
2019 Niv Haim*, Nimrod Segol*, Heli Ben-Hamu, Haggai Maron, Yaron Lipman
Surface Networks via General Covers
published pages: , ISSN: , DOI:
International Conference on Computer Vision (ICCV) 2019 2019-11-07
2019 Heli Ben-Hamu, Haggai Maron, Itay Kezurer, Gal Avineri, Yaron Lipman
Multi-chart generative surface modeling
published pages: 1-15, ISSN: 0730-0301, DOI: 10.1145/3272127.3275052
ACM Transactions on Graphics 37/6 2019-11-07
2018 Roee Lazar, Nadav Dym, Yam Kushinsky, Zhiyang Huang, Tao Ju, Yaron Lipman
Robust optimization for topological surface reconstruction
published pages: 1-10, ISSN: 0730-0301, DOI: 10.1145/3197517.3201348
ACM Transactions on Graphics 37/4 2019-11-07
2019 Haggai Maron and Heli Ben{-}Hamu and Nadav Shamir and Yaron Lipman
Invariant and Equivariant Graph Networks
published pages: , ISSN: , DOI:
7th International Conference on Learning Representations, {ICLR} 2019, New Orleans, LA, USA, May 6-9, 2019 2019-11-07
2019 Yam Kushinsky, Haggai Maron, Nadav Dym, Yaron Lipman
Sinkhorn Algorithm for Lifted Assignment Problems
published pages: 716-735, ISSN: 1936-4954, DOI: 10.1137/18m1196480
SIAM Journal on Imaging Sciences 12/2 2019-11-07

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