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Thermal radiative transfer (TRT) is an essential piece of physics in inertial confinement fusion, high-energy density physics, astrophysics etc. The physical models of this type of problem are defined by strongly coupled differential…

Numerical Analysis · Mathematics 2025-08-06 Dmitriy Y. Anistratov , Terry S. Haut

The Gray Radiative Transfer Equations (GRTEs) are high-dimensional, multiscale problems that pose significant computational challenges for traditional numerical methods. Current deep learning approaches, including Physics-Informed Neural…

Computational Physics · Physics 2025-05-21 Xizhe Xie , Wengu Chen , Zheng Ma , Han Wang

Deep learning is having a tremendous impact in many areas of computer science and engineering. Motivated by this success, deep neural networks are attracting an increasing attention in many other disciplines, including physical sciences. In…

In this work, we prove rigorous error estimates for a hybrid method introduced in [15] for solving the time-dependent radiation transport equation (RTE). The method relies on a splitting of the kinetic distribution function for the…

Numerical Analysis · Mathematics 2023-06-09 Andrés Galindo-Olarte , Victor P. DeCaria , Cory D. Hauck

Integro-differential equations arise in a wide range of applications, including transport, kinetic theory, radiative transfer, and multiphysics modeling, where nonlocal integral operators couple the solution across phase space. Such…

Numerical Analysis · Mathematics 2026-04-16 Haoning Dang , Fei Wang , Yifan Chen , Zhouyu Liu , Dong Liu , Hongchun Wu

Decentralized learning strategies allow a collection of agents to learn efficiently from local data sets without the need for central aggregation or orchestration. Current decentralized learning paradigms typically rely on an averaging…

Machine Learning · Computer Science 2025-01-24 Muyun Li , Aaron Fainman , Stefan Vlaski

The Radiative Transfer Equations (RTEs) exhibit high dimensionality and multiscale characteristics, rendering conventional numerical methods computationally intensive. Existing deep learning methods perform well in low-dimensional or linear…

Computational Physics · Physics 2026-01-01 Xizhe Xie , Wengu Chen , Weiming Li , Peng Song , Han Wang

This study presents a novel state estimation approach integrating Deep Neural Networks (DNNs) into Moving Horizon Estimation (MHE). This is a shift from using traditional physics-based models within MHE towards data-driven techniques.…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Alexander Winkler , Pranav Shah , Katrin Baumgärtner , Vasu Sharma , David Gordon , Jakob Andert

A resistive memory device-based computing architecture is one of the promising platforms for energy-efficient Deep Neural Network (DNN) training accelerators. The key technical challenge in realizing such accelerators is to accumulate the…

Emerging Technologies · Computer Science 2019-08-05 Hyungjun Kim , Malte Rasch , Tayfun Gokmen , Takashi Ando , Hiroyuki Miyazoe , Jae-Joon Kim , John Rozen , Seyoung Kim

We solve the radiative transfer equation (RTE) in anisotropically scattering media as an infinite series. Each series term represents a distinct number of scattering events, with analytical solutions derived for zero and single scattering.…

High Energy Physics - Phenomenology · Physics 2024-07-25 Vladimir Allakhverdian , Dmitry V. Naumov

We propose DeepGRU, a novel end-to-end deep network model informed by recent developments in deep learning for gesture and action recognition, that is streamlined and device-agnostic. DeepGRU, which uses only raw skeleton, pose or vector…

Computer Vision and Pattern Recognition · Computer Science 2019-10-11 Mehran Maghoumi , Joseph J. LaViola

Deep learning has emerged as a compelling framework for scientific and engineering computing, motivating growing interest in neural network-based solvers for partial differential equations (PDEs). Within this landscape, network…

Numerical Analysis · Mathematics 2026-04-06 Tao Cheng , Lili Ju , Zhonghua Qiao , Xiaoping Zhang

Conventional numerical solvers for the radiative transfer equation (RTE) exhibit severe sensitivity to medium parameters. To address this, we propose an operator learning framework that approximates the RTE solution map as a function of…

Numerical Analysis · Mathematics 2026-04-28 Qinchen Song , Xinliang Liu , Lei Zhang

We introduce DeepDFT, a deep learning model for predicting the electronic charge density around atoms, the fundamental variable in electronic structure simulations from which all ground state properties can be calculated. The model is…

Computational Physics · Physics 2020-11-09 Peter Bjørn Jørgensen , Arghya Bhowmik

In neural network surrogate solvers for electromagnetic simulations, accurately modeling resonant phenomena remains a central challenge. High-amplitude resonances generate strongly localized field patterns that deviate significantly from…

Optics · Physics 2026-05-19 Sunghyun Nam , Chan Y. Park , Min Seok Jang

A new second order form of radiative transfer equation (named MSORTE) is proposed, which overcomes the singularity problem of a previously proposed second order radiative transfer equation [J. Comput. Phys. 214 (2006) 12-40 (where it was…

Computational Physics · Physics 2012-09-03 J. M. Zhao , J. Y. Tan , L. H. Liu

We introduce Differentiable Neural Radiosity, a novel method of representing the solution of the differential rendering equation using a neural network. Inspired by neural radiosity techniques, we minimize the norm of the residual of the…

Graphics · Computer Science 2022-02-01 Saeed Hadadan , Matthias Zwicker

Traditional radio map estimation (RME) techniques fail to capture multi-dimensional and dynamic characteristics of complex spectrum environments. Recent data-driven methods achieve accurate RME in spatial domain, but ignore physical prior…

Signal Processing · Electrical Eng. & Systems 2026-02-27 Dong Yang , Yue Wang , Songyang Zhang , Yingshu Li , Zhipeng Cai , Zhi Tian

Neural ray tracing (RT) has emerged as a promising paradigm for channel modeling by combining physical propagation principles with neural networks. It enables high modeling accuracy and efficiency. However, current neural RT methods face…

Machine Learning · Computer Science 2025-06-24 Kejia Bian , Meixia Tao , Shu Sun , Jun Yu

Modern communication networks have become very complicated and highly dynamic, which makes them hard to model, predict and control. In this paper, we develop a novel experience-driven approach that can learn to well control a communication…

Networking and Internet Architecture · Computer Science 2018-01-18 Zhiyuan Xu , Jian Tang , Jingsong Meng , Weiyi Zhang , Yanzhi Wang , Chi Harold Liu , Dejun Yang
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