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Sampling the phase space of molecular systems -- and, more generally, of complex systems effectively modeled by stochastic differential equations -- is a crucial modeling step in many fields, from protein folding to materials discovery.…

Machine Learning · Computer Science 2023-12-12 Ellis R. Crabtree , Juan M. Bello-Rivas , Andrew L. Ferguson , Ioannis G. Kevrekidis

Deep learning has emerged as a transformative tool for the neural surrogate modeling of partial differential equations (PDEs), known as neural PDE solvers. However, scaling these solvers to industrial-scale geometries with over $10^8$ cells…

Machine Learning · Computer Science 2026-02-06 Hang Zhou , Haixu Wu , Haonan Shangguan , Yuezhou Ma , Huikun Weng , Jianmin Wang , Mingsheng Long

With the development of deep learning, Deep Metric Learning (DML) has achieved great improvements in face recognition. Specifically, the widely used softmax loss in the training process often bring large intra-class variations, and feature…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Bowen Wu , Huaming Wu , Monica M. Y. Zhang

Contact-assisted protein folding has made very good progress, but two challenges remain. One is accurate contact prediction for proteins lack of many sequence homologs and the other is that time-consuming folding simulation is often needed…

Biomolecules · Quantitative Biology 2022-10-12 Jinbo Xu

We develop in this paper a multi-grade deep learning method for solving nonlinear partial differential equations (PDEs). Deep neural networks (DNNs) have received super performance in solving PDEs in addition to their outstanding success in…

Numerical Analysis · Mathematics 2023-09-15 Yuesheng Xu , Taishan Zeng

Solving partial differential equations (PDEs) with machine learning typically requires training a new neural network for every new equation. This optimization is slow. We introduce MetaColloc. It is an optimization-free and data-free…

Machine Learning · Computer Science 2026-05-13 Zichuan Yang

Deep Learning (DL) , a variant of the neural network algorithms originally proposed in the 1980s, has made surprising progress in Artificial Intelligence (AI), ranging from language translation, protein folding, autonomous cars, and more…

Artificial Intelligence · Computer Science 2023-07-24 Stephen Josè Hanson , Vivek Yadav , Catherine Hanson

The landscape of condensed matter physics is facing an unprecedented data surge driven by high-throughput ab initio workflows and rapidly expanding experimental datasets. Traditional first-principles methods such as Density Functional…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 Mahyar Hassani-Vasmejani , Hosein Alavi-Rad , Meysam Bagheri Tagani

This Special Report summarizes the 2022 AAPM Grand Challenge on Deep-Learning spectral Computed Tomography (DL-spectral CT) image reconstruction. The purpose of the challenge is to develop the most accurate image reconstruction algorithm…

Medical Physics · Physics 2022-12-23 Emil Y. Sidky , Xiaochuan Pan

We demonstrate that an important class of nonlinear stationary solutions of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) exhibiting nontrivial transversal configurations can be found and characterized in terms of an effective…

Quantum Gases · Physics 2014-03-19 A. Muñoz Mateo , V. Delgado

We introduce a deep neural network (DNN) framework called the \textbf{r}eal-space \textbf{a}tomic \textbf{d}ecomposition \textbf{net}work (\textsc{radnet}), which is capable of making accurate polarization and static dielectric function…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Kevin Ryczko , Olivier Malenfant-Thuot , Michel Côté , Isaac Tamblyn

Modeling of turbulent flows is still challenging. One way to deal with the large scale separation due to turbulence is to simulate only the large scales and model the unresolved contributions as done in large-eddy simulation (LES). This…

Computational Physics · Physics 2019-10-03 Mathis Bode , Michael Gauding , Konstantin Kleinheinz , Heinz Pitsch

The assessment of left atrial appendage (LAA) thrombogenesis has experienced major advances with the adoption of patient-specific computational fluid dynamics (CFD) simulations. Nonetheless, due to the vast computational resources and long…

Machine Learning · Computer Science 2022-10-20 Xabier Morales , Jordi Mill , Guillem Simeon , Kristine A. Juhl , Ole De Backer , Rasmus R. Paulsen , Oscar Camara

We investigate five different models to reconstruct the 3D $\gamma$-ray hit coordinates in five large \lacls monolithic crystals optically coupled to pixelated silicon photomultipliers. These scintillators have a base surface of 50 $\times$…

Autoregressive next-step prediction models have become the de-facto standard for building data-driven neural solvers to forecast time-dependent partial differential equations (PDEs). Denoise training that is closely related to diffusion…

Machine Learning · Computer Science 2025-03-31 Zijie Li , Anthony Zhou , Amir Barati Farimani

Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets. A deep neural network is…

Machine Learning · Computer Science 2019-11-22 Jonathan B. Freund , Jonathan F. MacArt , Justin Sirignano

Three-dimensional face dense alignment and reconstruction in the wild is a challenging problem as partial facial information is commonly missing in occluded and large pose face images. Large head pose variations also increase the solution…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Zeyu Ruan , Changqing Zou , Longhai Wu , Gangshan Wu , Limin Wang

We present a three-dimensional graph convolutional network (3DGCN), which predicts molecular properties and biochemical activities, based on 3D molecular graph. In the 3DGCN, graph convolution is unified with learning operations on the…

Machine Learning · Computer Science 2019-08-08 Hyeoncheol Cho , Insung S. Choi

Deep learning (DL) models for tabular data problems (e.g. classification, regression) are currently receiving increasingly more attention from researchers. However, despite the recent efforts, the non-DL algorithms based on gradient-boosted…

Machine Learning · Computer Science 2023-10-27 Yury Gorishniy , Ivan Rubachev , Nikolay Kartashev , Daniil Shlenskii , Akim Kotelnikov , Artem Babenko

Machine learning models for the potential energy of multi-atomic systems, such as the deep potential (DP) model, make possible molecular simulations with the accuracy of quantum mechanical density functional theory, at a cost only…