Inverse statistical problems: from the inverse Ising problem to data science

HC Nguyen, R Zecchina, J Berg - Advances in Physics, 2017 - Taylor & Francis
Inverse problems in statistical physics are motivated by the challenges of 'big data'in
different fields, in particular high-throughput experiments in biology. In inverse problems, the …

Data based identification and prediction of nonlinear and complex dynamical systems

WX Wang, YC Lai, C Grebogi - Physics Reports, 2016 - Elsevier
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

Inverse statistical physics of protein sequences: a key issues review

S Cocco, C Feinauer, M Figliuzzi… - Reports on Progress …, 2018 - iopscience.iop.org
In the course of evolution, proteins undergo important changes in their amino acid
sequences, while their three-dimensional folded structure and their biological function …

Network reconstruction and community detection from dynamics

TP Peixoto - Physical review letters, 2019 - APS
We present a scalable nonparametric Bayesian method to perform network reconstruction
from observed functional behavior that at the same time infers the communities present in …

Efficiently learning Ising models on arbitrary graphs

G Bresler - Proceedings of the forty-seventh annual ACM …, 2015 - dl.acm.org
graph underlying an Ising model from iid samples. Over the last fifteen years this problem
has been of significant interest in the statistics, machine learning, and statistical physics …

Sparse modeling approach to analytical continuation of imaginary-time quantum Monte Carlo data

J Otsuki, M Ohzeki, H Shinaoka, K Yoshimi - Physical Review E, 2017 - APS
A data-science approach to solving the ill-conditioned inverse problem for analytical
continuation is proposed. The root of the problem lies in the fact that even tiny noise of …

Optimal structure and parameter learning of Ising models

AY Lokhov, M Vuffray, S Misra, M Chertkov - Science advances, 2018 - science.org
Reconstruction of the structure and parameters of an Ising model from binary samples is a
problem of practical importance in a variety of disciplines, ranging from statistical physics …

Improving contact prediction along three dimensions

C Feinauer, MJ Skwark, A Pagnani… - PLoS computational …, 2014 - journals.plos.org
Correlation patterns in multiple sequence alignments of homologous proteins can be
exploited to infer information on the three-dimensional structure of their members. The …

Parallel learning by multitasking neural networks

E Agliari, A Alessandrelli, A Barra… - Journal of Statistical …, 2023 - iopscience.iop.org
Parallel learning, namely the simultaneous learning of multiple patterns, constitutes a
modern challenge for neural networks. While this cannot be accomplished by standard …

Sparse generative modeling via parameter reduction of Boltzmann machines: application to protein-sequence families

P Barrat-Charlaix, AP Muntoni, K Shimagaki, M Weigt… - Physical Review E, 2021 - APS
Boltzmann machines (BMs) are widely used as generative models. For example, pairwise
Potts models (PMs), which are instances of the BM class, provide accurate statistical models …