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 …

Causal inference under interference and network uncertainty

R Bhattacharya, D Malinsky… - Uncertainty in Artificial …, 2020 - proceedings.mlr.press
Classical causal and statistical inference methods typically assume the observed data
consists of independent realizations. However, in many applications this assumption is …

The maximum entropy principle for compositional data

C Weistuch, J Zhu, JO Deasy, AR Tannenbaum - BMC bioinformatics, 2022 - Springer
Background Compositional systems, represented as parts of some whole, are ubiquitous.
They encompass the abundances of proteins in a cell, the distribution of organisms in …

Consistent estimation of functions of data missing non-monotonically and not at random

I Shpitser - Advances in Neural Information Processing …, 2016 - proceedings.neurips.cc
Missing records are a perennial problem in analysis of complex data of all types, when the
target of inference is some function of the full data law. In simple cases, where data is …

[图书][B] From Statistical Physics to Data-driven Modelling: With Applications to Quantitative Biology

S Cocco, R Monasson, F Zamponi - 2022 - books.google.com
" Today's science is characterised by an ever-increasing amount of data, due to instru-
mental and experimental progress in monitoring and manipulating complex systems made …

Network reconstruction via the minimum description length principle

TP Peixoto - arXiv preprint arXiv:2405.01015, 2024 - arxiv.org
A fundamental problem associated with the task of network reconstruction from dynamical or
behavioral data consists in determining the most appropriate model complexity in a manner …

A statistical physics approach to learning curves for the inverse Ising problem

L Bachschmid-Romano, M Opper - Journal of Statistical …, 2017 - iopscience.iop.org
Using methods of statistical physics, we analyse the error of learning couplings in large Ising
models from independent data (the inverse Ising problem). We concentrate on learning …

Pairwise sparse+ low-rank models for variables of mixed type

F Nussbaum, J Giesen - Journal of Multivariate Analysis, 2020 - Elsevier
Factor models have been proposed for a broad range of observed variables such as binary,
Gaussian, and variables of mixed types. They typically model a pairwise interaction …

Structure learning in inverse Ising problems using ℓ 2-regularized linear estimator

X Meng, T Obuchi, Y Kabashima - Journal of Statistical …, 2021 - iopscience.iop.org
The inference performance of the pseudolikelihood method is discussed in the framework of
the inverse Ising problem when the ℓ 2-regularized (ridge) linear regression is adopted. This …

Reconstruction of pairwise interactions using energy-based models

C Feinauer, C Lucibello - Mathematical and Scientific …, 2022 - proceedings.mlr.press
Pairwise models like the Ising model or the generalized Potts model have found many
successful applications in fields like physics, biology, and economics. Closely connected is …