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The generation of equilibrium samples of molecular systems has been a long-standing problem in statistical physics. Boltzmann Generators are a generative machine learning method that addresses this issue by learning a transformation via a…

Machine Learning · Statistics 2025-02-04 Leon Klein , Frank Noé

We present transductive Boltzmann machines (TBMs), which firstly achieve transductive learning of the Gibbs distribution. While exact learning of the Gibbs distribution is impossible by the family of existing Boltzmann machines due to…

Machine Learning · Statistics 2018-05-22 Mahito Sugiyama , Koji Tsuda , Hiroyuki Nakahara

Nucleic acid sequence design via codon optimization is a fundamental task with applications across synthetic biology, mRNA therapeutics, and vaccine design. Given a target protein, it is a major open challenge to navigate the…

Quantitative Methods · Quantitative Biology 2026-04-22 Mark Fornace , Christina Wuyan Wang , Michael Lindsey

Restricted Boltzmann Machines (RBMs) are generative models which can learn useful representations from samples of a dataset in an unsupervised fashion. They have been widely employed as an unsupervised pre-training method in machine…

Machine Learning · Statistics 2013-09-13 Chris Häusler , Alex Susemihl , Martin P Nawrot , Manfred Opper

A method to control results of gradient descent unsupervised learning in a deep neural network by using evolutionary algorithm is proposed. To process crossover of unsupervisedly trained models, the algorithm evaluates pointwise fitness of…

Machine Learning · Statistics 2018-03-29 Takeshi Inagaki

Protein dynamics underlie many biological functions, yet remain difficult to characterize due to the high computational cost of molecular dynamics simulations and the scarcity of dynamic structural data. This survey reviews recent advances…

Biomolecules · Quantitative Biology 2026-04-29 Haocheng Tang , Liang Shi , Ya-Shi Zhang , Xixian Liu , Jian Tang , Jiarui Lu

Biological AI models increasingly predict complex cellular responses, yet their learned representations remain disconnected from the molecular processes they aim to capture. We present CDT-III, which extends mechanism-oriented AI across the…

Machine Learning · Computer Science 2026-03-27 Nobuyuki Ota

Identifying and characterizing mutational paths is an important issue in evolutionary biology and in bioengineering. We here introduce a generic description of mutational paths in terms of the goodness of sequences and of the mutational…

Biomolecules · Quantitative Biology 2023-03-29 Eugenio Mauri , Simona Cocco , Rémi Monasson

This paper develops a methodology for adaptive data-driven Model Predictive Control (MPC) using Koopman operators. While MPC is ubiquitous in various fields of engineering, the controller performance can deteriorate if the modeling error…

Optimization and Control · Mathematics 2024-12-05 Daisuke Uchida , Karthik Duraisamy

Deep generative models have recently been proposed for sampling protein conformations from the Boltzmann distribution, as an alternative to often prohibitively expensive Molecular Dynamics simulations. However, current state-of-the-art…

Biomolecules · Quantitative Biology 2025-11-13 Nicolas Wolf , Leif Seute , Vsevolod Viliuga , Simon Wagner , Jan Stühmer , Frauke Gräter

Unsupervised domain adaptation (UDA) aims to learn transferable knowledge from a labeled source domain and adapts a trained model to an unlabeled target domain. To bridge the gap between source and target domains, one prevailing strategy is…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Xu Ma , Junkun Yuan , Yen-wei Chen , Ruofeng Tong , Lanfen Lin

Protein language models have excelled in a variety of tasks, ranging from structure prediction to protein engineering. However, proteins are highly diverse in functions and structures, and current state-of-the-art models including the…

Biomolecules · Quantitative Biology 2023-02-27 Chang Ma , Haiteng Zhao , Lin Zheng , Jiayi Xin , Qintong Li , Lijun Wu , Zhihong Deng , Yang Lu , Qi Liu , Lingpeng Kong

Most protein families have fewer than 100 known members, a regime where deep generative models overfit or collapse. We propose stochastic attention (SA), a training-free sampler that treats the modern Hopfield energy over a protein…

Machine Learning · Computer Science 2026-03-17 Jeffrey D. Varner

We theorize that phylogenetic profiles provide a quantitative method that can relate the structural and functional properties of proteins, as well as their evolutionary relationships. A key feature of phylogenetic profiles is the…

Quantitative Methods · Quantitative Biology 2009-11-04 Yoojin Hong , Jaewoo Kang , Dongwon Lee , Randen L. Patterson , Damian B. van Rossum

Accurate long-term time series forecasting (LTSF) requires the capture of complex long-range dependencies and dynamic periodic patterns. Recent advances in frequency-domain analysis offer a global perspective for uncovering temporal…

Artificial Intelligence · Computer Science 2026-04-28 Xudong Jiang , Mingshan Loo , Hanchen Yang , Wengen Li , Mingrui Zhang , Yichao Zhang , Jihong Guan , Shuigeng Zhou

We present a mathematical construction for the restricted Boltzmann machine (RBM) that doesn't require specifying the number of hidden units. In fact, the hidden layer size is adaptive and can grow during training. This is obtained by first…

Machine Learning · Computer Science 2016-03-21 Marc-Alexandre Côté , Hugo Larochelle

Finding suitable features has been an essential problem in computer vision. We focus on Restricted Boltzmann Machines (RBMs), which, despite their versatility, cannot accommodate transformations that may occur in the scene. As a result,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Mario Valerio Giuffrida , Sotirios A. Tsaftaris

Conditional Restricted Boltzmann Machines (CRBMs) are rich probabilistic models that have recently been applied to a wide range of problems, including collaborative filtering, classification, and modeling motion capture data. While much…

Machine Learning · Computer Science 2012-02-20 Volodymyr Mnih , Hugo Larochelle , Geoffrey E. Hinton

Distributions of data or sensory stimuli often enjoy underlying invariances. How and to what extent those symmetries are captured by unsupervised learning methods is a relevant question in machine learning and in computational neuroscience.…

Disordered Systems and Neural Networks · Physics 2020-06-24 Moshir Harsh , Jérôme Tubiana , Simona Cocco , Remi Monasson

Since the 1960s I proposed that we could understand and replicate the highest level of intelligence seen in the brain, by building ever more capable and general systems for adaptive dynamic programming (ADP), which is like reinforcement…

Neurons and Cognition · Quantitative Biology 2007-05-23 Paul J. Werbos
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