Correlation clustering with sherali-adams

V Cohen-Addad, E Lee… - 2022 IEEE 63rd Annual …, 2022 - ieeexplore.ieee.org
Given a complete graph G=(V, E) where each edge is labeled+ or−, the CORRELATION
CLUSTERING problem asks to partition V into clusters to minimize the number of+ edges …

Grothendieck's theorem, past and present

G Pisier - Bulletin of the American Mathematical Society, 2012 - ams.org
Probably the most famous of Grothendieck's contributions to Banach space theory is the
result that he himself described as “the fundamental theorem in the metric theory of tensor …

Semidefinite programs on sparse random graphs and their application to community detection

A Montanari, S Sen - Proceedings of the forty-eighth annual ACM …, 2016 - dl.acm.org
Denote by A the adjacency matrix of an Erdos-Renyi graph with bounded average degree.
We consider the problem of maximizing< A-EA, X> over the set of positive semidefinite …

Parallel correlation clustering on big graphs

X Pan, D Papailiopoulos, S Oymak… - Advances in …, 2015 - proceedings.neurips.cc
Given a similarity graph between items, correlation clustering (CC) groups similar items
together and dissimilar ones apart. One of the most popular CC algorithms is KwikCluster …

On differentially private graph sparsification and applications

R Arora, J Upadhyay - Advances in neural information …, 2019 - proceedings.neurips.cc
In this paper, we study private sparsification of graphs. In particular, we give an algorithm
that given an input graph, returns a sparse graph which approximates the spectrum of the …

On robustness to adversarial examples and polynomial optimization

P Awasthi, A Dutta… - Advances in Neural …, 2019 - proceedings.neurips.cc
We study the design of computationally efficient algorithms with provable guarantees, that
are robust to adversarial (test time) perturbations. While there has been an explosion of …

Learning-theoretic foundations of algorithm configuration for combinatorial partitioning problems

MF Balcan, V Nagarajan, E Vitercik… - … on Learning Theory, 2017 - proceedings.mlr.press
Max-cut, clustering, and many other partitioning problems that are of significant importance
to machine learning and other scientific fields are NP-hard, a reality that has motivated …

Optimizing sparse fermionic hamiltonians

Y Herasymenko, M Stroeks, J Helsen, B Terhal - Quantum, 2023 - quantum-journal.org
We consider the problem of approximating the ground state energy of a fermionic
Hamiltonian using a Gaussian state. In sharp contrast to the dense case [1, 2], we prove that …

[PDF][PDF] Grothendieck-type inequalities in combinatorial optimization

S Khot, A Naor - arxiv preprint arxiv:1108.2464, 2011 - arxiv.org
arxiv:1108.2464v1 [cs.DS] 11 Aug 2011 Page 1 GROTHENDIECK-TYPE INEQUALITIES IN
COMBINATORIAL OPTIMIZATION SUBHASH KHOT AND ASSAF NAOR Abstract. We …

Differentially private analysis on graph streams

J Upadhyay, S Upadhyay… - … Conference on Artificial …, 2021 - proceedings.mlr.press
In this paper, we focus on answering queries, in a differentially private manner, on graph
streams. We adopt the sliding window model of privacy, where we wish to perform analysis …