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We propose to employ the hierarchical coarse-grained structure in the artificial neural networks explicitly to improve the interpretability without degrading performance. The idea has been applied in two situations. One is a neural network…

Machine Learning · Computer Science 2024-06-19 Xi-Ci Yang , Z. Y. Xie , Xiao-Tao Yang

Computing atomic-scale properties of chemically disordered materials requires an efficient exploration of their vast configuration space. Traditional approaches such as Monte Carlo or Special Quasirandom Structures either entail sampling an…

Materials Science · Physics 2026-03-17 Maciej J. Karcz , Luca Messina , Eiji Kawasaki , Emeric Bourasseau

Deep learning is a broad set of techniques that uses multiple layers of representation to automatically learn relevant features directly from structured data. Recently, such techniques have yielded record-breaking results on a diverse set…

Machine Learning · Statistics 2014-10-16 Pankaj Mehta , David J. Schwab

We present a real-space formulation for coarse-graining Kohn-Sham Density Functional Theory that significantly speeds up the analysis of material defects without appreciable loss of accuracy. The approximation scheme consists of two steps.…

Computational Physics · Physics 2015-06-11 Phanish Suryanarayana , Kaushik Bhattacharya , Michael Ortiz

Coarse-grained (CG) molecular dynamics enables the study of biological processes at temporal and spatial scales that would be intractable at an atomistic resolution. However, accurately learning a CG force field remains a challenge. In this…

Recent improvements in generative adversarial visual synthesis incorporate real and fake image transformation in a self-supervised setting, leading to increased stability and perceptual fidelity. However, these approaches typically involve…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Neel Dey , Antong Chen , Soheil Ghafurian

In recent times, many of the breakthroughs in various vision-related tasks have revolved around improving learning of deep models; these methods have ranged from network architectural improvements such as Residual Networks, to various forms…

Machine Learning · Statistics 2018-05-15 Yan Zuo , Gil Avraham , Tom Drummond

Generative Adversarial Networks are becoming a fundamental tool in Machine Learning, in particular in the context of improving the stability of deep neural networks. At the same time, recent advances in Quantum Computing have shown that,…

Quantum Physics · Physics 2021-10-07 Amine Assouel , Antoine Jacquier , Alexei Kondratyev

Generative adversarial nets (GANs) have become a preferred tool for tasks involving complicated distributions. To stabilise the training and reduce the mode collapse of GANs, one of their main variants employs the integral probability…

Machine Learning · Computer Science 2020-10-27 Shengxi Li , Zeyang Yu , Min Xiang , Danilo Mandic

One of the most significant challenges in statistical signal processing and machine learning is how to obtain a generative model that can produce samples of large-scale data distribution, such as images and speeches. Generative Adversarial…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Pegah Salehi , Abdolah Chalechale , Maryam Taghizadeh

We introduce Kernel Density Discrimination GAN (KDD GAN), a novel method for generative adversarial learning. KDD GAN formulates the training as a likelihood ratio optimization problem where the data distributions are written explicitly via…

Machine Learning · Computer Science 2021-07-14 Abdelhak Lemkhenter , Adam Bielski , Alp Eren Sari , Paolo Favaro

Since its invention, Generative adversarial networks (GANs) have shown outstanding results in many applications. Generative Adversarial Networks are powerful yet, resource-hungry deep-learning models. Their main difference from ordinary…

Machine Learning · Computer Science 2021-08-17 Dina Tantawy , Mohamed Zahran , Amr Wassal

Quantum Generative Adversarial Networks (QGANs) have emerged as a promising direction in quantum machine learning, combining the strengths of quantum computing and adversarial training to enable efficient and expressive generative modeling.…

Quantum Physics · Physics 2025-06-24 Mujahidul Islam , Serkan Turkeli , Fatih Ozaydin

In this paper, we propose to equip Generative Adversarial Networks with the ability to produce direct energy estimates for samples.Specifically, we propose a flexible adversarial training framework, and prove this framework not only ensures…

Machine Learning · Computer Science 2017-02-27 Zihang Dai , Amjad Almahairi , Philip Bachman , Eduard Hovy , Aaron Courville

This paper explores the application of kernel learning methods for parameter prediction and evaluation in the Algebraic Multigrid Method (AMG), focusing on several Partial Differential Equation (PDE) problems. AMG is an efficient iterative…

Numerical Analysis · Mathematics 2025-10-31 Junyue Luo , Xiaoqiang Yue , Fangfang Zhang , Juan Zhang

Molecular dynamics (MD) simulations provide detailed insight into atomic-scale mechanisms but are inherently restricted to small spatio-temporal scales. Coarse-grained molecular dynamics (CGMD) techniques allow simulations of much larger…

Computational Physics · Physics 2025-02-10 Yangshuai Wang , Gabor Csanyi , Christoph Ortner

The properties of soft electronic materials depend on the coupling of electronic and conformational degrees of freedom over a wide range of spatiotemporal scales. Description of such properties requires multiscale approaches capable of, at…

Soft Condensed Matter · Physics 2023-07-19 Riccardo Alessandri , Juan J. de Pablo

Multiscale simulations facilitate the efficient exploration of large spatiotemporal scales in chemical and physical systems, yet particle-based simulations become prohibitively expensive at time and length scales beyond the molecular level.…

Chemical Physics · Physics 2026-02-25 Jaehyeok Jin , Yining Han , Gregory A. Voth

Conditional Gaussian graphical models (cGGM) are a recent reparametrization of the multivariate linear regression model which explicitly exhibits $i)$ the partial covariances between the predictors and the responses, and $ii)$ the partial…

Methodology · Statistics 2014-09-26 Julien Chiquet , Tristan Mary-Huard , Stéphane Robin

Generative adversarial networks (GANs) have an enormous potential impact on digital content creation, e.g., photo-realistic digital avatars, semantic content editing, and quality enhancement of speech and images. However, the performance of…

Artificial Intelligence · Computer Science 2021-09-01 Pavel Andreev , Alexander Fritzler , Dmitry Vetrov