Spectral independence in high-dimensional expanders and applications to the hardcore model

N Anari, K Liu, SO Gharan - SIAM Journal on Computing, 2021 - SIAM
We say a probability distribution μ is spectrally independent if an associated pairwise
influence matrix has a bounded largest eigenvalue for the distribution and all of its …

[LIBRO][B] Network analysis: methodological foundations

U Brandes - 2005 - books.google.com
'Network'is a heavily overloaded term, so that 'network analysis' means different things to
different people. Specific forms of network analysis are used in the study of diverse …

Real time localization and 3d reconstruction

E Mouragnon, M Lhuillier, M Dhome… - 2006 IEEE Computer …, 2006 - ieeexplore.ieee.org
In this paper we describe a method that estimates the motion of a calibrated camera (settled
on an experimental vehicle) and the tridimensional geometry of the environment. The only …

Set partitioning via inclusion-exclusion

A Björklund, T Husfeldt, M Koivisto - SIAM Journal on Computing, 2009 - SIAM
Given a set N with n elements and a family F of subsets, we show how to partition N into k
such subsets in 2^nn^O(1) time. We also consider variations of this problem where the …

Holographic algorithms

LG Valiant - SIAM Journal on Computing, 2008 - SIAM
Complexity theory is built fundamentally on the notion of efficient reduction among
computational problems. Classical reductions involve gadgets that map solution fragments …

The complexity of counting graph homomorphisms

M Dyer, C Greenhill - Random Structures & Algorithms, 2000 - Wiley Online Library
The problem of counting homomorphisms from a general graph G to a fixed graph H is a
natural generalization of graph coloring, with important applications in statistical physics …

The complexity of mining maximal frequent itemsets and maximal frequent patterns

G Yang - Proceedings of the tenth ACM SIGKDD international …, 2004 - dl.acm.org
Mining maximal frequent itemsets is one of the most fundamental problems in data mining.
In this paper we study the complexity-theoretic aspects of maximal frequent itemset mining …

The complexity of the counting constraint satisfaction problem

AA Bulatov - Journal of the ACM (JACM), 2013 - dl.acm.org
The Counting Constraint Satisfaction Problem (# CSP (H)) over a finite relational structure H
can be expressed as follows: given a relational structure G over the same vocabulary …

Complexity of inference in graphical models

V Chandrasekaran, N Srebro, P Harsha - arxiv preprint arxiv:1206.3240, 2012 - arxiv.org
It is well-known that inference in graphical models is hard in the worst case, but tractable for
models with bounded treewidth. We ask whether treewidth is the only structural criterion of …

On Markov chains for independent sets

M Dyer, C Greenhill - Journal of Algorithms, 2000 - Elsevier
Random independent sets in graphs arise, for example, in statistical physics, in the hardcore
model of a gas. In 1997, Luby and Vigoda described a rapidly mixing Markov chain for …