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Recent advances at the intersection of control theory, neuroscience, and machine learning have revealed novel mechanisms by which dynamical systems perform computation. These advances encompass a wide range of conceptual, mathematical, and…

Machine Learning · Computer Science 2026-04-10 Arthur N. Montanari , Francesco Bullo , Dmitry Krotov , Adilson E. Motter

Autonomous physical learning systems modify their internal parameters and solve computational tasks without relying on external computation. Compared to traditional computers, they enjoy distributed and energy-efficient learning due to…

Disordered Systems and Neural Networks · Physics 2025-09-22 Marcelo Guzman , Simone Ciarella , Andrea J. Liu

Unsupervised machine learning via a restricted Boltzmann machine is an useful tool in distinguishing an ordered phase from a disordered phase. Here we study its application on the two-dimensional Ashkin-Teller model, which features a…

Disordered Systems and Neural Networks · Physics 2018-04-03 Wen-Jia Rao , Zhenyu Li , Qiong Zhu , Mingxing Luo , Xin Wan

In this paper, we quantify the impact of using non-convergent Markov chains to train Energy-Based models (EBMs). In particular, we show analytically that EBMs trained with non-persistent short runs to estimate the gradient can perfectly…

Machine Learning · Computer Science 2026-05-07 Elisabeth Agoritsas , Giovanni Catania , Aurélien Decelle , Beatriz Seoane

We show that the bias of the approximate maximum-likelihood estimation (MLE) objective of a persistent chain energy-based model (EBM) is precisely equal to the thermodynamic excess work of an overdamped Langevin dynamical system. We then…

Statistical Mechanics · Physics 2025-10-06 Jeff Hnybida , Simon Verret

Explainable boosting machines (EBMs) are popular "glass-box" models that learn a set of univariate functions using boosting trees. These achieve explainability through visualizations of each feature's effect. However, unlike linear model…

Machine Learning · Statistics 2026-03-31 Haimo Fang , Kevin Tan , Jonathan Pipping-Gamon , Giles Hooker

A Boltzmann machine is a stochastic neural network that has been extensively used in the layers of deep architectures for modern machine learning applications. In this paper, we develop a Boltzmann machine that is capable of modelling…

Statistical Mechanics · Physics 2016-10-18 Giacomo Torlai , Roger G. Melko

Binarized Neural Networks, a recently discovered class of neural networks with minimal memory requirements and no reliance on multiplication, are a fantastic opportunity for the realization of compact and energy efficient inference…

Emerging Technologies · Computer Science 2019-06-04 Tifenn Hirtzlin , Bogdan Penkovsky , Marc Bocquet , Jacques-Olivier Klein , Jean-Michel Portal , Damien Querlioz

We study the inverse optimal control problem in social sciences: we aim at learning a user's true cost function from the observed temporal behavior. In contrast to traditional phenomenological works that aim to learn a generative model to…

Machine Learning · Computer Science 2018-05-23 Yichen Wang , Le Song , Hongyuan Zha

Existing neural active learning algorithms have aimed to optimize the predictive performance of neural networks (NNs) by selecting data for labelling. However, other than a good predictive performance, being robust against random parameter…

Machine Learning · Computer Science 2023-06-08 Apivich Hemachandra , Zhongxiang Dai , Jasraj Singh , See-Kiong Ng , Bryan Kian Hsiang Low

Model-based reinforcement learning could enable sample-efficient learning by quickly acquiring rich knowledge about the world and using it to improve behaviour without additional data. Learned dynamics models can be directly used for…

Machine Learning · Computer Science 2019-10-15 Rinu Boney , Juho Kannala , Alexander Ilin

Inspired by coarse-graining approaches used in physics, we show how similar algorithms can be adapted for data. The resulting algorithms are based on layered tree tensor networks and scale linearly with both the dimension of the input and…

Machine Learning · Statistics 2018-05-01 E. M. Stoudenmire

This study introduces a novel supervised learning approach for spiking neural networks that does not rely on traditional backpropagation. Instead, it employs spike-timing-dependent plasticity (STDP) within a supervised framework for image…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Wei Xie

Estimating free energy is a fundamental problem in statistical mechanics. Recently, machine-learning-based methods, particularly the variational autoregressive networks (VANs) have been proposed to minimize variational free energy and to…

Statistical Mechanics · Physics 2025-02-12 Jing Liu , Ying Tang , Pan Zhang

Machine learning plays an increasingly important role in computational chemistry and materials science, complementing computationally intensive ab initio and first-principles methods. Despite their utility, machine-learning models often…

Chemical Physics · Physics 2025-05-06 Makoto Takamoto , Viktor Zaverkin , Mathias Niepert

Statistical mechanics has made significant contributions to the study of biological neural systems by modeling them as recurrent networks of interconnected units with adjustable interactions. Several algorithms have been proposed to…

Disordered Systems and Neural Networks · Physics 2024-03-06 Enrico Ventura

Metallic spin glass systems, such as dilute magnetic alloys, are characterized by randomly distributed local moments coupled to each other through a long-range electron-mediated effective interaction. We present a scalable machine learning…

Disordered Systems and Neural Networks · Physics 2023-11-29 Menglin Shi , Sheng Zhang , Gia-Wei Chern

Autoregressive generative models are commonly used, especially for those tasks involving sequential data. They have, however, been plagued by a slew of inherent flaws due to the intrinsic characteristics of chain-style conditional modeling…

Machine Learning · Computer Science 2022-06-28 Yezhen Wang , Tong Che , Bo Li , Kaitao Song , Hengzhi Pei , Yoshua Bengio , Dongsheng Li

A data-efficient learning-based control design method is proposed in this paper. It is based on learning a system dynamics model that is then leveraged in a two-level procedure. On the higher level, a simple but powerful optimization…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Ludvig Svedlund , Constantin Cronrath , Jonas Fredriksson , Bengt Lennartson

We investigate the impact of limited data on training pairwise energy-based models for inverse problems aimed at identifying interaction networks. Utilizing the Gaussian model as testbed, we dissect training trajectories across the…

Machine Learning · Computer Science 2025-06-06 Giovanni Catania , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane