Statistical physics of inference: Thresholds and algorithms

L Zdeborová, F Krzakala - Advances in Physics, 2016 - Taylor & Francis
Many questions of fundamental interest in today's science can be formulated as inference
problems: some partial, or noisy, observations are performed over a set of variables and the …

Recent advances in percolation theory and its applications

AA Saberi - Physics Reports, 2015 - Elsevier
Percolation is the simplest fundamental model in statistical mechanics that exhibits phase
transitions signaled by the emergence of a giant connected component. Despite its very …

[图书][B] High-dimensional probability: An introduction with applications in data science

R Vershynin - 2018 - books.google.com
High-dimensional probability offers insight into the behavior of random vectors, random
matrices, random subspaces, and objects used to quantify uncertainty in high dimensions …

[图书][B] Stochastic geometry for wireless networks

M Haenggi - 2012 - books.google.com
Covering point process theory, random geometric graphs and coverage processes, this
rigorous introduction to stochastic geometry will enable you to obtain powerful, general …

[图书][B] Foundations of data science

A Blum, J Hopcroft, R Kannan - 2020 - books.google.com
This book provides an introduction to the mathematical and algorithmic foundations of data
science, including machine learning, high-dimensional geometry, and analysis of large …

A weighted and directed interareal connectivity matrix for macaque cerebral cortex

NT Markov, MM Ercsey-Ravasz… - Cerebral …, 2014 - academic.oup.com
Retrograde tracer injections in 29 of the 91 areas of the macaque cerebral cortex revealed
1,615 interareal pathways, a third of which have not previously been reported. A weight …

Graph theoretic methods in multiagent networks

M Mesbahi - 2010 - torrossa.com
“I don't want to achieve immortality through my work... I want to achieve it through not dying.”—
Woody Allen The emergence of (relatively) cheap sensing and actuation nodes, capable of …

[图书][B] The probabilistic method

N Alon, JH Spencer - 2016 - books.google.com
Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical
computer science will welcome the new edition of this book.”-MAA Reviews Maintaining a …

[图书][B] Random graphs

B Bollobás, B Bollobás - 1998 - Springer
Although the theory of random graphs is one of the youngest branches of graph theory, in
importance it is second to none. It began with some sporadic papers of Erdős in the 1940s …

The structure and function of complex networks

MEJ Newman - SIAM review, 2003 - SIAM
Inspired by empirical studies of networked systems such as the Internet, social networks,
and biological networks, researchers have in recent years developed a variety of techniques …