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Emulator embedded neural networks, which are a type of physics informed neural network, leverage multi-fidelity data sources for efficient design exploration of aerospace engineering systems. Multiple realizations of the neural network…

Machine Learning · Computer Science 2023-09-14 Atticus Beachy , Harok Bae , Jose Camberos , Ramana Grandhi

Training an energy-based model (EBM) with maximum likelihood is challenging due to the intractable normalisation constant. Traditional methods rely on expensive Markov chain Monte Carlo (MCMC) sampling to estimate the gradient of logartihm…

Machine Learning · Computer Science 2025-03-11 Hugo Senetaire , Paul Jeha , Pierre-Alexandre Mattei , Jes Frellsen

We present E NERGY N ET , a new framework for analyzing and building artificial neural network architectures. Our approach adaptively learns the structure of the networks in an unsupervised manner. The methodology is based upon the…

Machine Learning · Computer Science 2017-11-10 Gus Kristiansen , Xavi Gonzalvo

The geometric structure of an optimization landscape is argued to be fundamentally important to support the success of deep neural network learning. A direct computation of the landscape beyond two layers is hard. Therefore, to capture the…

Machine Learning · Computer Science 2021-10-04 Wenxuan Zou , Haiping Huang

With electric power systems becoming more compact and increasingly powerful, the relevance of thermal stress especially during overload operation is expected to increase ceaselessly. Whenever critical temperatures cannot be measured…

Machine Learning · Computer Science 2022-11-03 Wilhelm Kirchgässner , Oliver Wallscheid , Joachim Böcker

Multi-task learning for molecular property prediction is becoming increasingly important in drug discovery. However, in contrast to other domains, the performance of multi-task learning in drug discovery is still not satisfying as the…

Biomolecules · Quantitative Biology 2022-10-07 Shengchao Liu , Meng Qu , Zuobai Zhang , Huiyu Cai , Jian Tang

Energy-based latent variable models (EBLVMs) are more expressive than conventional energy-based models. However, its potential on visual tasks are limited by its training process based on maximum likelihood estimate that requires sampling…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Ge Kan , Jinhu Lü , Tian Wang , Baochang Zhang , Aichun Zhu , Lei Huang , Guodong Guo , Hichem Snoussi

Traditional energy-based learning models associate a single energy metric to each configuration of variables involved in the underlying optimization process. Such models associate the lowest energy state to the optimal configuration of…

Machine Learning · Computer Science 2020-04-10 Oindrila Chatterjee , Shantanu Chakrabartty

Undirected graphical models are compact representations of joint probability distributions over random variables. To solve inference tasks of interest, graphical models of arbitrary topology can be trained using empirical risk minimization.…

Machine Learning · Computer Science 2020-10-23 Adarsh K. Jeewajee , Leslie P. Kaelbling

Structural equation models (SEMs) are widely used in sciences, ranging from economics to psychology, to uncover causal relationships underlying a complex system under consideration and estimate structural parameters of interest. We study…

Machine Learning · Statistics 2020-10-21 Luofeng Liao , You-Lin Chen , Zhuoran Yang , Bo Dai , Zhaoran Wang , Mladen Kolar

We refine the OrbNet model to accurately predict energy, forces, and other response properties for molecules using a graph neural-network architecture based on features from low-cost approximated quantum operators in the symmetry-adapted…

We introduce estimatable variation neural networks (EVNNs), a class of neural networks that allow a computationally cheap estimate on the $BV$ norm motivated by the space $BMV$ of functions with bounded M-variation. We prove a universal…

Numerical Analysis · Mathematics 2025-11-14 Mária Lukáčová-Medviďová , Simon Schneider

Energy-based models for discrete domains, such as graphs, explicitly capture relative likelihoods, naturally enabling composable probabilistic inference tasks like conditional generation or enforcing constraints at test-time. However,…

Deep generative models (DGMs) are data-eager because learning a complex model on limited data suffers from a large variance and easily overfits. Inspired by the classical perspective of the bias-variance tradeoff, we propose regularized…

Machine Learning · Computer Science 2023-04-11 Yong Zhong , Hongtao Liu , Xiaodong Liu , Fan Bao , Weiran Shen , Chongxuan Li

Low-order functional ANOVA (fANOVA) models have been rediscovered in the machine learning (ML) community under the guise of inherently interpretable machine learning. Explainable Boosting Machines or EBM (Lou et al. 2013) and GAMI-Net (Yang…

Machine Learning · Statistics 2023-12-19 Linwei Hu , Jie Chen , Vijayan N. Nair

Most techniques for explainable machine learning focus on feature attribution, i.e., values are assigned to the features such that their sum equals the prediction. Example attribution is another form of explanation that assigns weights to…

Machine Learning · Computer Science 2025-02-28 Genghua Dong , Henrik Boström , Michalis Vazirgiannis , Roman Bresson

This paper studies the fundamental problem of multi-layer generator models in learning hierarchical representations. The multi-layer generator model that consists of multiple layers of latent variables organized in a top-down architecture…

Machine Learning · Computer Science 2023-10-17 Jiali Cui , Ying Nian Wu , Tian Han

The phenomena of Spectral Bias, where the higher frequency components of a function being learnt in a feedforward Artificial Neural Network (ANN) are seen to converge more slowly than the lower frequencies, is observed ubiquitously across…

Machine Learning · Computer Science 2023-07-20 Kaumudi Joshi , Vukka Snigdha , Arya Kumar Bhattacharya

Many modern neural network architectures are trained in an overparameterized regime where the parameters of the model exceed the size of the training dataset. Sufficiently overparameterized neural network architectures in principle have the…

Machine Learning · Computer Science 2019-02-14 Samet Oymak , Mahdi Soltanolkotabi

IoT devices are increasingly being implemented with neural network models to enable smart applications. Energy harvesting (EH) technology that harvests energy from ambient environment is a promising alternative to batteries for powering…

Machine Learning · Computer Science 2022-09-28 Sahidul Islam , Shanglin Zhou , Ran Ran , Yufang Jin , Wujie Wen , Caiwen Ding , Mimi Xie