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Energy-based models (EBMs) are flexible generative architectures inspired by statistical physics, but their learning and generative properties remain poorly understood. Here, we analyze a solvable EBM in the high-dimensional limit: the…

Machine Learning · Computer Science 2026-05-12 Thomas Tulinski , Simona Cocco , Rémi Monasson , Jorge Fernandez-De-Cossio-Diaz

We study Generalised Restricted Boltzmann Machines with generic priors for units and weights, interpolating between Boolean and Gaussian variables. We present a complete analysis of the replica symmetric phase diagram of these systems,…

Disordered Systems and Neural Networks · Physics 2017-11-01 Adriano Barra , Giuseppe Genovese , Peter Sollich , Daniele Tantari

Conditional generative models are capable of using contextual information as input to create new imaginative outputs. Conditional Restricted Boltzmann Machines (CRBMs) are one class of conditional generative models that have proven to be…

Machine Learning · Computer Science 2023-05-16 Alex H. Lang , Anton D. Loukianov , Charles K. Fisher

We introduce Thurstonian Boltzmann Machines (TBM), a unified architecture that can naturally incorporate a wide range of data inputs at the same time. Our motivation rests in the Thurstonian view that many discrete data types can be…

Machine Learning · Statistics 2014-08-04 Truyen Tran , Dinh Phung , Svetha Venkatesh

Machine learning algorithms often take inspiration from established results and knowledge from statistical physics. A prototypical example is the Boltzmann machine algorithm for supervised learning, which utilizes knowledge of classical…

Statistical Mechanics · Physics 2018-12-04 Tatjana Puskarov , Axel Cortes Cubero

Recent works have demonstrated the effectiveness of self-alignment in which a large language model is aligned to follow general instructions using instructional data generated from the model itself starting from a handful of human-written…

Computation and Language · Computer Science 2024-06-07 Junmo Kang , Hongyin Luo , Yada Zhu , Jacob Hansen , James Glass , David Cox , Alan Ritter , Rogerio Feris , Leonid Karlinsky

In many real-world scenarios, data to train machine learning models becomes available over time. Unfortunately, these models struggle to continually learn new concepts without forgetting what has been learnt in the past. This phenomenon is…

Computation and Language · Computer Science 2023-01-16 Beyza Ermis , Giovanni Zappella , Martin Wistuba , Aditya Rawal , Cedric Archambeau

Theoretical understanding of how deep neural network (DNN) extracts features from input images is still unclear, but it is widely believed that the extraction is performed hierarchically through a process of coarse-graining. It reminds us…

High Energy Physics - Theory · Physics 2018-05-16 Satoshi Iso , Shotaro Shiba , Sumito Yokoo

In this study, a novel machine learning algorithm, restricted Boltzmann machine (RBM), is introduced. The algorithm is applied for the spectral classification in astronomy. RBM is a bipartite generative graphical model with two separate…

Machine Learning · Computer Science 2013-10-15 Fuqiang Chen , Yan Wu , Yude Bu , Guodong Zhao

We develop a regularization of the quantum microcanonical ensemble, called a Gaussian ensemble, which can be used for derivation of the canonical ensemble from microcanonical principles. The derivation differs from the usual methods by…

Statistical Mechanics · Physics 2008-11-26 Jani Lukkarinen

We study the free energy of a most used deep architecture for restricted Boltzmann machines, where the layers are disposed in series. Assuming independent Gaussian distributed random weights, we show that the error term in the so-called…

Disordered Systems and Neural Networks · Physics 2022-07-08 Giuseppe Genovese

Disentangled generative models map a latent code vector to a target space, while enforcing that a subset of the learned latent codes are interpretable and associated with distinct properties of the target distribution. Recent advances have…

Machine Learning · Computer Science 2020-08-10 Zinan Lin , Kiran Koshy Thekumparampil , Giulia Fanti , Sewoong Oh

One of the central challenges in modern machine learning is understanding how neural networks generalize knowledge learned from training data to unseen test data. While numerous empirical techniques have been proposed to improve…

Machine Learning · Computer Science 2025-04-18 Entao Yang , Xiaotian Zhang , Yue Shang , Ge Zhang

Restricted Boltzmann Machines are simple and powerful generative models that can encode any complex dataset. Despite all their advantages, in practice the trainings are often unstable and it is difficult to assess their quality because the…

Machine Learning · Computer Science 2023-03-16 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane

A computationally efficient protocol for machine learning in chemical space using Boltzmann ensembles of conformers as input is proposed; the method is based on rewriting Kernel Ridge Regression expressions in terms of Structured Orthogonal…

Chemical Physics · Physics 2025-07-11 Konstantin Karandashev

Fully resolving dynamics of materials with rapidly-varying features involves expensive fine-scale computations which need to be conducted on macroscopic scales. The theory of homogenization provides an approach to derive effective…

Numerical Analysis · Mathematics 2022-06-07 Kaushik Bhattacharya , Burigede Liu , Andrew M. Stuart , Margaret Trautner

We have designed a machine that becomes increasingly better at behaving in underspecified circumstances, in a goal-directed way, on the job, by modeling itself and its environment as experience accumulates. Based on principles of…

This paper proposes a novel approach to pattern classification using a probabilistic neural network model. The strategy is based on a compact-sized probabilistic neural network capable of continuous incremental learning and unlearning…

Machine Learning · Computer Science 2026-03-24 Tetsuya Hoya , Shunpei Morita

Sampling lattice field theories near criticality is severely hindered by critical slowing down, which makes standard Markov chain methods increasingly inefficient at large lattice volumes. We introduce a multiscale generative sampler,…

High Energy Physics - Lattice · Physics 2026-04-14 A. Singha , J. Kauffmann , E. Cellini , K. Jansen , S. Nakajima

The restricted Boltzmann machine (RBM) is a two-layer energy-based model that uses its hidden-visible connections to learn the underlying distribution of visible units, whose interactions are often complicated by high-order correlations.…

Statistical Mechanics · Physics 2022-12-07 Jing Gu , Kai Zhang