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In machine learning energy potentials for atomic systems, forces are commonly obtained as the negative derivative of the energy function with respect to atomic positions. To quantify aleatoric uncertainty in the predicted energies, a widely…

Machine Learning · Statistics 2023-12-08 Peter Bjørn Jørgensen , Jonas Busk , Ole Winther , Mikkel N. Schmidt

We present unbiased, finite--variance estimators of energy derivatives for real--space diffusion Monte Carlo calculations within the fixed--node approximation. The derivative $d_\lambda E$ is fully consistent with the dependence…

Materials Science · Physics 2021-05-20 Jesse van Rhijn , Claudia Filippi , Stefania De Palo , Saverio Moroni

Energy-based models (EBMs) estimate unnormalized densities in an elegant framework, but they are generally difficult to train. Recent work has linked EBMs to generative adversarial networks, by noting that they can be trained through a…

Machine Learning · Computer Science 2025-06-06 Cong Geng , Jia Wang , Li Chen , Zhiyong Gao , Jes Frellsen , Søren Hauberg

This paper proposes the divergence triangle as a framework for joint training of generator model, energy-based model and inference model. The divergence triangle is a compact and symmetric (anti-symmetric) objective function that seamlessly…

Machine Learning · Statistics 2019-02-01 Tian Han , Erik Nijkamp , Xiaolin Fang , Mitch Hill , Song-Chun Zhu , Ying Nian Wu

Anomaly detection aims at identifying deviant instances from the normal data distribution. Many advances have been made in the field, including the innovative use of unsupervised contrastive learning. However, existing methods generally…

Computer Vision and Pattern Recognition · Computer Science 2022-01-04 Sungwon Han , Hyeonho Song , Seungeon Lee , Sungwon Park , Meeyoung Cha

Over the last two decades, Electron Energy Loss Spectroscopy (EELS) imaging with a scanning transmission electron microscope (STEM) has emerged as a technique of choice for visualizing complex chemical, electronic, plasmonic, and phononic…

The performance of energy detection (ED) for independent and identically distribution (i.i.d.) signal models is analyzed over generalized composite non-linear line-of-sight (LOS) and non-line-of-sight (NLOS) shadowed fading scenarios. The…

Information Theory · Computer Science 2018-01-03 He Huang

Modern deep-learning training is not memoryless. Updates depend on optimizer moments and averaging, data-order policies (random reshuffling vs with-replacement, staged augmentations and replay), the nonconvex path, and auxiliary state…

Machine Learning · Computer Science 2026-01-30 Vasileios Sevetlidis , George Pavlidis

Solving partial differential equations (PDEs) using neural networks has become a central focus in scientific machine learning. Training neural networks for singularly perturbed problems is particularly challenging due to certain parameters…

Machine Learning · Computer Science 2025-05-30 Chuqi Chen , Yahong Yang , Yang Xiang , Wenrui Hao

Energy-based models are popular in machine learning due to the elegance of their formulation and their relationship to statistical physics. Among these, the Restricted Boltzmann Machine (RBM), and its staple training algorithm contrastive…

Machine Learning · Computer Science 2015-04-09 Daniel Jiwoong Im , Ethan Buchman , Graham W. Taylor

Predictive models are highly advanced in understanding the mechanisms of brain function. Recent advances in machine learning further underscore the power of prediction for optimal representation in learning. However, there remains a gap in…

Machine Learning · Computer Science 2025-05-22 Xingsi Dong , Xiangyuan Peng , Si Wu

We propose self-adaptive training---a new training algorithm that dynamically corrects problematic training labels by model predictions without incurring extra computational cost---to improve generalization of deep learning for potentially…

Machine Learning · Computer Science 2020-10-01 Lang Huang , Chao Zhang , Hongyang Zhang

We investigate the resolution of parabolic PDEs via Extreme Learning Machine (ELMs) Neural Networks, which have a single hidden layer and can be trained at a modest computational cost as compared with Deep Learning Neural Networks. Our…

Numerical Analysis · Mathematics 2022-06-02 Francesco Calabrò , Salvatore Cuomo , Daniela di Serafino , Giuseppe Izzo , Eleonora Messina

This brief sketches initial progress towards a unified energy-based solution for the semi-supervised visual anomaly detection and localization problem. In this setup, we have access to only anomaly-free training data and want to detect and…

Machine Learning · Computer Science 2021-05-10 Ergin Utku Genc , Nilesh Ahuja , Ibrahima J Ndiour , Omesh Tickoo

Cross-entropy (CE) training provides dense and scalable supervision for language models, but it optimizes next-token prediction under teacher forcing rather than sequence-level behavior under model rollouts. We introduce a feature-matching…

Machine Learning · Computer Science 2026-03-17 Samy Jelassi , Mujin Kwun , Rosie Zhao , Yuanzhi Li , Nicolo Fusi , Yilun Du , Sham M. Kakade , Carles Domingo-Enrich

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

This paper presents an approach to trajectory-centric learning control based on contraction metrics and disturbance estimation for nonlinear systems subject to matched uncertainties. The approach uses deep neural networks to learn uncertain…

Systems and Control · Electrical Eng. & Systems 2024-07-25 Pan Zhao , Ziyao Guo , Yikun Cheng , Aditya Gahlawat , Hyungsoo Kang , Naira Hovakimyan

Fitness functions map large combinatorial spaces of biological sequences to properties of interest. Inferring these multimodal functions from experimental data is a central task in modern protein engineering. Global epistasis models are an…

Populations and Evolution · Quantitative Biology 2024-10-17 David H. Brookes , Jakub Otwinowski , Sam Sinai

We propose Evolutionary Dynamic Loss (EDL), a framework that learns a transferable classification loss in the probability space using unlimited synthetic prediction-label pairs, without accessing real samples during the main loss…

Machine Learning · Computer Science 2026-05-06 Meng Xiang , Yan Pei

We introduce the first learning-based dense matching algorithm, termed Equirectangular Projection-Oriented Dense Kernelized Feature Matching (EDM), specifically designed for omnidirectional images. Equirectangular projection (ERP) images,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Dongki Jung , Jaehoon Choi , Yonghan Lee , Somi Jeong , Taejae Lee , Dinesh Manocha , Suyong Yeon