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In this paper, we propose a novel generative model that utilizes a conditional Energy-Based Model (EBM) for enhancing Variational Autoencoder (VAE), termed Energy-Calibrated VAE (EC-VAE). Specifically, VAEs often suffer from blurry…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Yihong Luo , Siya Qiu , Xingjian Tao , Yujun Cai , Jing Tang

In recent years, the Edge Computing (EC) paradigm has emerged as an enabling factor for developing technologies like the Internet of Things (IoT) and 5G networks, bridging the gap between Cloud Computing services and end-users, supporting…

Machine Learning · Computer Science 2022-01-19 Guilherme Cassales , Heitor Gomes , Albert Bifet , Bernhard Pfahringer , Hermes Senger

Extracting equilibrium information from nonequilibrium measurements is a challenge task of great importance in understanding the thermodynamic properties of physical, chemical, and biological systems. The discovery of the Jarzynski equality…

Statistical Mechanics · Physics 2021-03-29 Geng Li , Z. C. Tu

Coarse-graining (CG) enables molecular dynamics (MD) simulations of larger systems and longer timescales that are otherwise infeasible with atomistic models. Machine learning potentials (MLPs), with their capacity to capture many-body…

Chemical Physics · Physics 2025-12-01 Weilong Chen , Franz Görlich , Paul Fuchs , Julija Zavadlav

We investigate the convergence properties of the EM algorithm when applied to overspecified Gaussian mixture models -- that is, when the number of components in the fitted model exceeds that of the true underlying distribution. Focusing on…

Machine Learning · Statistics 2025-06-16 Zhenisbek Assylbekov , Alan Legg , Artur Pak

This paper studies a training method to jointly estimate an energy-based model and a flow-based model, in which the two models are iteratively updated based on a shared adversarial value function. This joint training method has the…

Machine Learning · Statistics 2020-04-02 Ruiqi Gao , Erik Nijkamp , Diederik P. Kingma , Zhen Xu , Andrew M. Dai , Ying Nian Wu

Latent Gaussian models have a rich history in statistics and machine learning, with applications ranging from factor analysis to compressed sensing to time series analysis. The classical method for maximizing the likelihood of these models…

Machine Learning · Computer Science 2023-06-07 Alexander Lin , Bahareh Tolooshams , Yves Atchadé , Demba Ba

Exponentiated gradient descent (EGD), a biologically motivated optimisation algorithm that respects Dale's law, produces log-normally distributed synaptic weights at convergence, in alignment with experimental observations in neuroscience.…

Machine Learning · Computer Science 2026-05-26 Nishanth Shetty , Madhava Prasath , Chandra Sekhar Seelamantula

Learning energy-based model (EBM) requires MCMC sampling of the learned model as an inner loop of the learning algorithm. However, MCMC sampling of EBMs in high-dimensional data space is generally not mixing, because the energy function,…

Machine Learning · Statistics 2022-03-17 Erik Nijkamp , Ruiqi Gao , Pavel Sountsov , Srinivas Vasudevan , Bo Pang , Song-Chun Zhu , Ying Nian Wu

Evidence accumulation models (EAMs) are an important class of cognitive models used to analyze both response time and response choice data recorded from decision-making tasks. Developments in estimation procedures have helped EAMs become…

Methodology · Statistics 2023-06-01 Viet Hung Dao , David Gunawan , Robert Kohn , Minh-Ngoc Tran , Guy E. Hawkins , Scott D. Brown

Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential…

Social and Information Networks · Computer Science 2025-02-05 Angelo Mele

Retrosynthesis -- the process of identifying a set of reactants to synthesize a target molecule -- is of vital importance to material design and drug discovery. Existing machine learning approaches based on language models and graph neural…

Chemical Physics · Physics 2021-12-10 Ruoxi Sun , Hanjun Dai , Li Li , Steven Kearnes , Bo Dai

Jarzynski Equality (JE) and the thermodynamic integration method are conventional methods to calculate free energy difference (FED) between two equilibrium states with constant temperature of a system. However, a number of ensemble samples…

Statistical Mechanics · Physics 2020-09-01 Weitao Chen

Joint Energy-based Model (JEM) is a recently proposed hybrid model that retains strong discriminative power of modern CNN classifiers, while generating samples rivaling the quality of GAN-based approaches. In this paper, we propose a…

Machine Learning · Computer Science 2021-09-22 Xiulong Yang , Shihao Ji

Energy-based learning algorithms are alternatives to backpropagation and are well-suited to distributed implementations in analog electronic devices. However, a rigorous theory of convergence is lacking. We make a first step in this…

Optimization and Control · Mathematics 2026-01-28 Anne-Men Huijzer , Thomas Chaffey , Bart Besselink , Henk J. van Waarde

Equality-constrained models naturally arise in problems in which measurements are taken at different levels of resolution. The challenge in this setting is that the models usually induce a joint distribution which is intractable. Resorting…

Computation · Statistics 2025-04-28 Shenggang Hu , Hongsheng Dai , Fanlin Meng , Louis Aslett , Murray Pollock , Gareth O. Roberts

Conditional Neural Processes~(CNPs) formulate distributions over functions and generate function observations with exact conditional likelihoods. CNPs, however, have limited expressivity for high-dimensional observations, since their…

Machine Learning · Computer Science 2023-03-24 Zesheng Ye , Jing Du , Lina Yao

Current state-of-the-art model-based reinforcement learning algorithms use trajectory sampling methods, such as the Cross-Entropy Method (CEM), for planning in continuous control settings. These zeroth-order optimizers require sampling a…

Machine Learning · Computer Science 2021-12-16 Kevin Huang , Sahin Lale , Ugo Rosolia , Yuanyuan Shi , Anima Anandkumar

State-of-the-art pre-trained image models predominantly adopt a two-stage approach: initial unsupervised pre-training on large-scale datasets followed by task-specific fine-tuning using Cross-Entropy loss~(CE). However, it has been…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Zijun Long , George Killick , Lipeng Zhuang , Gerardo Aragon-Camarasa , Zaiqiao Meng , Richard Mccreadie

The Jarzynski equality allows the calculation of free-energy differences using values of work measured from nonequilibrium trajectories. The number of trajectories required to accurately estimate free-energy differences in this way grows…

Statistical Mechanics · Physics 2025-05-13 Stephen Whitelam