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SO-ReCoDi SIGNED

Spectral and Optimization Techniques for Robust Recovery, Combinatorial Constructions, and Distributed Algorithms

Total Cost €

0

EC-Contrib. €

0

Partnership

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 SO-ReCoDi project word cloud

Explore the words cloud of the SO-ReCoDi project. It provides you a very rough idea of what is the project "SO-ReCoDi" about.

marcus    construction    adversarial    representations    made    spectral    optimization    computer    deep    learning    machine    connection    combinatorial    technique    conceptually    noise    mss    community    recovery    ways    sparsifiers    mentioned    matrix    proof    lemma    conjecture    unexpected    random    distributed    sensor    speed    convex    contains    largely    domains    computed    structure    breakthrough    recovering    unsupervised    model    contain    translate    mix    faults    goals    ing    underpinning    shows    led    explicit    szemeredi    protocols    semidefinite    context    spielman    computing    science    singer    motivated    graphs    regularity    dynamics    chances    unification    theory    perturbations    exist    srivastava    constructions    lightweight    technically    certain    naturally    tools    theoretical    compressed    data    networks    deal    programming    population    series    robust    algorithms    models    kinds    detection    unifying    pursuing    occurring    natural    kadison    idea   

Project "SO-ReCoDi" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITA COMMERCIALE LUIGI BOCCONI 

Organization address
address: VIA SARFATTI 25
city: MILANO
postcode: 20136
website: www.unibocconi.it

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 Italy [IT]
 Total cost 1˙971˙805 €
 EC max contribution 1˙971˙805 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2018-ADG
 Funding Scheme ERC-ADG
 Starting year 2019
 Duration (year-month-day) from 2019-09-01   to  2024-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITA COMMERCIALE LUIGI BOCCONI IT (MILANO) coordinator 1˙971˙805.00

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 Project objective

In a recovery problem, we are interested in recovering structure from data that contains a mix of combinatorial structure and random noise. In a robust recovery problem, the data may contain adversarial perturbations as well. A series of recent results in theoretical computer science has led to algorithms based on the convex optimization technique of Semidefinite Programming for several recovery problems motivated by unsupervised machine learning. Can those algorithms be made robust? Sparsifiers are compressed representations of graphs that speed up certain algorithms. The recent proof of the Kadison-Singer conjecture by Marcus, Spielman and Srivastava (MSS) shows that certain kinds of sparsifiers exist, but the proof does not provide an explicit construction. Dynamics and population protocols are simple models of distributed computing that were introduced to study sensor networks and other lightweight distributed systems, and have also been used to model naturally occurring networks. What can and cannot be computed in such models is largely open. We propose an ambitious unifying approach to go beyond the state of the art in these three domains, and provide: robust recovery algorithms for the problems mentioned above; a new connection between sparsifiers and the Szemeredi Regularity Lemma and explicit constructions of the sparsifiers resulting from the MSS work; and an understanding of the ability of simple distributed algorithms to solve community detection problems and to deal with noise and faults. The unification is provided by a common underpinning of spectral methods, random matrix theory, and convex optimization. Such tools are used in technically similar but conceptually very different ways in the three domains. By pursuing these goals together, we will make it more likely that an idea that is natural and simple in one context will translate to an idea that is deep and unexpected in another, increasing the chances of a breakthrough.

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