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Many real-world machine learning tasks require outputs that satisfy hard constraints, such as physical conservation laws, structured dependencies in graphs, or column-level relationships in tabular data. Existing approaches rely either on…

Artificial Intelligence · Computer Science 2025-11-21 Pantelis Dogoulis , Fabien Bernier , Félix Fourreau , Karim Tit , Maxime Cordy

We consider the problem of optimizing time averages in systems with independent and identically distributed behavior over renewal frames. This includes scheduling and task processing to maximize utility in stochastic networks with variable…

Optimization and Control · Mathematics 2010-11-30 Michael J. Neely

Multi-agent collaboration has emerged as a powerful paradigm for enhancing the reasoning capabilities of large language models, yet it suffers from interaction-level ambiguity that blurs generation, critique, and revision, making credit…

Artificial Intelligence · Computer Science 2026-03-24 Zhongyi Li , Wan Tian , Jingyu Chen , Kangyao Huang , Huiming Zhang , Hui Yang , Tao Ren , Jinyang Jiang , Yijie Peng , Yikun Ban , Fuzhen Zhuang

Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving physical systems described by partial differential equations (PDEs). However, their accuracy in dynamical systems, particularly those involving sharp…

Computational Physics · Physics 2026-03-03 Wei Wang , Tang Paai Wong , Haihui Ruan , Somdatta Goswami

Adaptive spatial meshing has proven invaluable for the accurate, efficient computation of solutions of time dependent partial differential equations. In a DA context the use of adaptive spatial meshes addresses several factors that place…

Numerical Analysis · Mathematics 2025-02-17 Jeremiah Buenger , Weizhang Huang , Erik Van Vleck

Meshing is a critical, but user-intensive process necessary for stable and accurate simulations in computational fluid dynamics (CFD). Mesh generation is often a bottleneck in CFD pipelines. Adaptive meshing techniques allow the mesh to be…

Machine Learning · Computer Science 2022-12-06 Cooper Lorsung , Amir Barati Farimani

This work introduces a time-adaptive strategy that uses a refinement estimator based on the first Frenet curvature. In dynamics, a time-adaptive strategy is a mechanism that interactively proposes changes to the time step used in iterative…

Numerical Analysis · Computer Science 2013-05-30 E. N. Lages , E. S. S. Silveira , D. T. Cintra , A. C. Frery

Instability and slowness are two main problems in deep reinforcement learning. Even if proximal policy optimization (PPO) is the state of the art, it still suffers from these two problems. We introduce an improved algorithm based on…

Machine Learning · Computer Science 2019-10-01 Zhenyu Zhang , Xiangfeng Luo , Tong Liu , Shaorong Xie , Jianshu Wang , Wei Wang , Yang Li , Yan Peng

We introduce Discrete flow Matching policy Optimization (DoMinO), a unified framework for Reinforcement Learning (RL) fine-tuning Discrete Flow Matching (DFM) models under a broad class of policy gradient methods. Our key idea is to view…

Machine Learning · Computer Science 2026-04-09 Maojiang Su , Po-Chung Hsieh , Weimin Wu , Mingcheng Lu , Jiunhau Chen , Jerry Yao-Chieh Hu , Han Liu

One difficulty in developing numerical methods for hyperbolic systems of conservation laws is the fact that solutions often contain regions where much higher resolution is required than elsewhere in the domain, particularly since the…

Numerical Analysis · Mathematics 2015-11-12 Brisa N. Davis , Randall J. LeVeque

Deep or reinforcement learning (RL) approaches have been adapted as reactive agents to quickly learn and respond with new investment strategies for portfolio management under the highly turbulent financial market environments in recent…

Portfolio Management · Quantitative Finance 2024-09-11 Zhenglong Li , Vincent Tam , Kwan L. Yeung

Collaborative autonomous multi-agent systems covering a specified area have many potential applications, such as UAV search and rescue, forest fire fighting, and real-time high-resolution monitoring. Traditional approaches for such coverage…

Robotics · Computer Science 2023-10-17 Xinyu Zhao , Razvan C. Fetecau , Mo Chen

In this paper we present a full-fledged scheme for the second order accurate, divergence-free evolution of vector fields on an adaptive mesh refinement (AMR) hierarchy. We focus here on adaptive mesh MHD. The scheme is based on making a…

Astrophysics · Physics 2009-11-07 Dinshaw Balsara

The cost and accuracy of simulating complex physical systems using the Finite Element Method (FEM) scales with the resolution of the underlying mesh. Adaptive meshes improve computational efficiency by refining resolution in critical…

Multiphase flows are an important class of fluid flow and their study facilitates the development of diverse applications in industrial, natural, and biomedical systems. We consider a model that uses a continuum description of both phases…

Fluid Dynamics · Physics 2025-08-04 Bindi M. Nagda , Aaron Barrett , Boyce E. Griffith , Aaron L. Fogelson , Jian Du

Diffusion policies have recently emerged as a powerful class of visuomotor controllers for robot manipulation, offering stable training and expressive multi-modal action modeling. However, existing approaches typically treat action…

Robotics · Computer Science 2025-10-01 Zezeng Li , Rui Yang , Ruochen Chen , ZhongXuan Luo , Liming Chen

Highly accurate simulation of plasma transport is needed for the successful design and operation of magnetically confined fusion reactors. Unfortunately, the extreme anisotropy present in magnetized plasmas results in thin boundary layers…

Numerical Analysis · Mathematics 2023-06-30 Christopher J. Vogl , Ilon Joseph , Milan Holec

The main challenge of multiagent reinforcement learning is the difficulty of learning useful policies in the presence of other simultaneously learning agents whose changing behaviors jointly affect the environment's transition and reward…

We study dendritic microstructure evolution using an adaptive grid, finite element method applied to a phase-field model. The computational complexity of our algorithm, per unit time, scales linearly with system size, rather than the…

Materials Science · Physics 2009-10-30 Nikolas Provatas , Nigel Goldenfeld , Jonathan Dantzig

When developing reinforcement learning agents, the standard approach is to train an agent to converge to a fixed policy that is as close to optimal as possible for a single fixed reward function. If different agent behaviour is required in…

Multiagent Systems · Computer Science 2021-01-29 David O'Callaghan , Patrick Mannion
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