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Variational autoencoders (VAEs) combine latent variables with amortized variational inference, whose optimization usually converges into a trivial local optimum termed posterior collapse, especially in text modeling. By tracking the…

Computation and Language · Computer Science 2020-04-21 Chen Wu , Prince Zizhuang Wang , William Yang Wang

Monte Carlo simulations are widely used to simulate complex molecular systems, but standard approaches suffer from metastability. Lately, the use of non-local proposal updates in a collective-variable (CV) space has been proposed in several…

Statistical Mechanics · Physics 2026-04-20 Christoph Schönle , Davide Carbone , Marylou Gabrié , Tony Lelièvre , Gabriel Stoltz

While the beta-VAE family is aiming to find disentangled representations and acquire human-interpretable generative factors, like what an ICA (from the linear domain) does, we propose Full Encoder, a novel unified autoencoder framework as a…

Machine Learning · Computer Science 2021-07-14 Zhouzheng Li , Kun Feng

Conventional magneto-static finite element analysis of electrical machine design is time-consuming and computationally expensive. Since each machine topology has a distinct set of parameters, design optimization is commonly performed…

Machine Learning · Computer Science 2022-10-05 Vivek Parekh , Dominik Flore , Sebastian Schöps

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

Machine Learning · Statistics 2018-04-04 Christoph Wehmeyer , Frank Noé

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

AlphaFold is a neural-network-based tool for the prediction of 3D structures of protein. In CASP14, a blind structure prediction challenge, it performed significantly better than other competitors, which makes it the best available…

Biomolecules · Quantitative Biology 2022-06-22 Vojtěch Spiwok , Martin Kurečka , Aleš Křenek

The study of the rare transitions that take place between long lived metastable states is a major challenge in molecular dynamics simulations. Many of the methods suggested to address this problem rely on the identification of the slow…

Chemical Physics · Physics 2023-06-07 Dhiman Ray , Enrico Trizio , Michele Parrinello

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

Designing an appropriate set of collective variables is crucial to the success of several enhanced sampling methods. Here we focus on how to obtain such variables from information limited to the metastable states. We characterize these…

Chemical Physics · Physics 2020-04-08 Luigi Bonati , Valerio Rizzi , Michele Parrinello

Conformational sampling of biomolecules using molecular dynamics simulations often produces large amount of high dimensional data that makes it difficult to interpret using conventional analysis techniques. Dimensionality reduction methods…

Biomolecules · Quantitative Biology 2021-12-08 Mahdi Ghorbani , Samarjeet Prasad , Jeffery B. Klauda , Bernard R. Brooks

Deep learning approaches process data in a layer-by-layer way with intermediate (or latent) features. We aim at designing a general solution to optimize the latent manifolds to improve the performance on classification, segmentation,…

Machine Learning · Computer Science 2025-06-03 Yida Wang , David Joseph Tan , Nassir Navab , Federico Tombari

Conformal Autoencoders are a neural network architecture that imposes orthogonality conditions between the gradients of latent variables to obtain disentangled representations of data. In this work we show that orthogonality relations…

Machine Learning · Computer Science 2025-07-14 George A. Kevrekidis , Zan Ahmad , Mauro Maggioni , Soledad Villar , Yannis G. Kevrekidis

Understanding kinetics and thermodynamics profile of biomolecules is necessary to understand their functional roles which has a major impact in mechanism driven drug discovery. Molecular dynamics simulation has been routinely used to…

Biomolecules · Quantitative Biology 2021-12-07 Soumendranath Bhakat

Enhanced sampling methods are indispensable in computational physics and chemistry, where atomistic simulations cannot exhaustively sample the high-dimensional configuration space of dynamical systems due to the sampling problem. A class of…

Chemical Physics · Physics 2024-04-04 Jakub Rydzewski , Ming Chen , Tushar K. Ghosh , Omar Valsson

Generating a data set that is representative of the accessible configuration space of a molecular system is crucial for the robustness of machine learned interatomic potentials (MLIP). However, the complexity of molecular systems,…

Machine Learning · Computer Science 2025-01-28 Aik Rui Tan , Johannes C. B. Dietschreit , Rafael Gomez-Bombarelli

Free energy biasing methods have proven to be powerful tools to accelerate the simulation of important conformational changes of molecules by modifying the sampling measure. However, most of these methods rely on the prior knowledge of…

Biological Physics · Physics 2021-10-20 Zineb Belkacemi , Paraskevi Gkeka , Tony Lelièvre , Gabriel Stoltz

Elucidating the functional mechanisms of the primary visual cortex (V1) remains a fundamental challenge in systems neuroscience. Current computational models face two critical limitations, namely the challenge of cross-modal integration…

Neurons and Cognition · Quantitative Biology 2024-12-20 Yu Zhu , Bo Lei , Chunfeng Song , Wanli Ouyang , Shan Yu , Tiejun Huang

Characterizing the relationship between neural population activity and behavioral data is a central goal of neuroscience. While latent variable models (LVMs) are successful in describing high-dimensional time-series data, they are typically…

Machine Learning · Computer Science 2026-02-12 Rabia Gondur , Usama Bin Sikandar , Evan Schaffer , Mikio Christian Aoi , Stephen L Keeley

We present an algorithm to learn the relevant latent variables of a large-scale discretized physical system and predict its time evolution using thermodynamically-consistent deep neural networks. Our method relies on sparse autoencoders,…

Computational Engineering, Finance, and Science · Computer Science 2021-03-25 Quercus Hernandez , Alberto Badias , David Gonzalez , Francisco Chinesta , Elias Cueto