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 …

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 …

Improved contact prediction in proteins: using pseudolikelihoods to infer Potts models

M Ekeberg, C Lövkvist, Y Lan, M Weigt, E Aurell - Physical Review E …, 2013 - APS
Spatially proximate amino acids in a protein tend to coevolve. A protein's three-dimensional
(3D) structure hence leaves an echo of correlations in the evolutionary record. Reverse …

A generative modeling approach for benchmarking and training shallow quantum circuits

M Benedetti, D Garcia-Pintos, O Perdomo… - npj Quantum …, 2019 - nature.com
Hybrid quantum-classical algorithms provide ways to use noisy intermediate-scale quantum
computers for practical applications. Expanding the portfolio of such techniques, we propose …

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 …

Estimation of effective temperatures in quantum annealers for sampling applications: A case study with possible applications in deep learning

M Benedetti, J Realpe-Gómez, R Biswas… - Physical Review A, 2016 - APS
An increase in the efficiency of sampling from Boltzmann distributions would have a
significant impact on deep learning and other machine-learning applications. Recently …

Systematic errors in connectivity inferred from activity in strongly recurrent networks

A Das, IR Fiete - Nature Neuroscience, 2020 - nature.com
Understanding the mechanisms of neural computation and learning will require knowledge
of the underlying circuitry. Because it is difficult to directly measure the wiring diagrams of …

Solving statistical mechanics using variational autoregressive networks

D Wu, L Wang, P Zhang - Physical review letters, 2019 - APS
We propose a general framework for solving statistical mechanics of systems with finite size.
The approach extends the celebrated variational mean-field approaches using …

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 …

Quantum-assisted learning of hardware-embedded probabilistic graphical models

M Benedetti, J Realpe-Gómez, R Biswas… - Physical Review X, 2017 - APS
Mainstream machine-learning techniques such as deep learning and probabilistic
programming rely heavily on sampling from generally intractable probability distributions …