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Convergence failure and slow convergence rates are among the biggest challenges with solving the system of non-linear equations numerically. Although mitigated, such issues still linger when using strictly small time steps and…

Numerical Analysis · Mathematics 2019-12-05 Hanyu Li , Wing Tat Leung , Mary F. Wheeler

Clawpack is a library for solving nonlinear hyperbolic partial differential equations using high-resolution finite volume methods based on Riemann solvers and limiters. It supports Adaptive Mesh Refinement (AMR), which is essential in…

Mathematical Software · Computer Science 2018-08-09 Xinsheng Qin , Randall J. LeVeque , Michael R. Motley

Large Language Models (LLMs) have demonstrated impressive quality when applied to predictive tasks such as relevance ranking and semantic search. However, deployment of such LLMs remains prohibitively expensive for industry applications…

Domain decomposition has been shown to be a computationally efficient distributed method for solving large scale entropic optimal transport problems. However, a naive implementation of the algorithm can freeze in the limit of very fine…

Numerical Analysis · Mathematics 2025-03-28 Ismael Medina , Bernhard Schmitzer

In this paper, we develop an $O((m \log k) {\rm MSF} (n,m,1))$-time algorithm to find a half-integral node-capacitated multiflow of the maximum total flow-value in a network with $n$ nodes, $m$ edges, and $k$ terminals, where ${\rm MSF}…

Data Structures and Algorithms · Computer Science 2018-10-30 Hiroshi Hirai

We study the acceleration of steady-state computation for microflow, which is modeled by the high-order moment models derived recently from the steady-state Boltzmann equation with BGK-type collision term. By using the lower-order model…

Numerical Analysis · Mathematics 2016-11-23 Zhicheng Hu , Ruo Li , Zhonghua Qiao

This work considers multiple agents traversing a network from a source node to the goal node. The cost to an agent for traveling a link has a private as well as a congestion component. The agent's objective is to find a path to the goal…

Machine Learning · Computer Science 2023-02-24 Prashant Trivedi , Nandyala Hemachandra

In distributed storage systems reliability is achieved through redundancy stored at different nodes in the network. Then a data collector can reconstruct source information even though some nodes fail. To maintain reliability, an autonomous…

Information Theory · Computer Science 2013-03-26 Majid Gerami , Ming Xiao , Mikael Skoglund , Kenneth W. Shum , Dengsheng Lin

The purpose of this work is to develop an algorithmic optimization approach for a capacitated Multi-Commodity flow problem, where the objective is to minimize the total link costs, where the cost of each arc increases convexly with its…

Networking and Internet Architecture · Computer Science 2026-03-11 Guillaume Beraud-Sudreau , Lucas Létocart , Youcef Magnouche , Sébastien Martin

Modern deep learning systems require huge data sets to achieve impressive performance, but there is little guidance on how much or what kind of data to collect. Over-collecting data incurs unnecessary present costs, while under-collecting…

Machine Learning · Computer Science 2022-10-05 Rafid Mahmood , James Lucas , Jose M. Alvarez , Sanja Fidler , Marc T. Law

We propose ReinFlow, a simple yet effective online reinforcement learning (RL) framework that fine-tunes a family of flow matching policies for continuous robotic control. Derived from rigorous RL theory, ReinFlow injects learnable noise…

Robotics · Computer Science 2026-01-09 Tonghe Zhang , Chao Yu , Sichang Su , Yu Wang

In this paper we consider the problem of distributed nonlinear optimisation of a separable convex cost function over a graph subject to cone constraints. We show how to generalise, using convex analysis, monotone operator theory and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-16 Richard Heusdens , Guoqiang Zhang

In this paper, we discuss our approach and algorithmic framework for solving large-scale security constrained optimal power flow (SCOPF) problems. SCOPF is a mixed integer non-convex optimization problem that aims to obtain the minimum…

Optimization and Control · Mathematics 2020-06-02 Mohammadhafez Bazrafshan , Kyri Baker , Javad Mohammadi

The numerical flow iteration method has recently been proposed as a memory-slim solution method for the Vlasov--Poisson system. It stores the temporal evolution of the electric field and reconstructs the solution in each time step by…

Numerical Analysis · Mathematics 2025-10-13 Rostislav-Paul Wilhelm , Katharina Kormann

We consider the CONGEST model on a network with $n$ nodes, $m$ edges, diameter $D$, and integer costs and capacities bounded by $\text{poly} n$. In this paper, we show how to find an exact solution to the minimum cost flow problem in…

Data Structures and Algorithms · Computer Science 2023-04-05 Tijn de Vos

Uniform flow distribution across parallel channels directly impacts the performance and efficiency of many fluid and energy systems. However, designing efficient flow manifolds that ensure uniform flow distribution remains a challenge. This…

Fluid Dynamics · Physics 2025-10-06 Sanjay Vermani , Nitish Anand

Reinforcement learning (RL) has emerged as a promising strategy for finetuning small language models (SLMs) to solve targeted tasks such as math and coding. However, RL algorithms tend to be resource-intensive, taking a significant amount…

Machine Learning · Computer Science 2025-10-07 Lianghuan Huang , Sagnik Anupam , Insup Lee , Shuo Li , Osbert Bastani

Efficient LLM inference research has largely focused on reducing the cost of each decoding step (e.g., using quantization, pruning, or sparse attention), typically applying a uniform computation budget to every generated token. In practice,…

Machine Learning · Computer Science 2026-05-12 Yash Akhauri , Mohamed S. Abdelfattah

We simplify the proof of the optimality of the Shortest Lower-Bound First (SLF) algorithm, introduced by Gupta, Kaplan, Lindermayr, Schl\"oter, and Yingchareonthawornchai [FOCS'25], for minimizing the total flow time in the…

Data Structures and Algorithms · Computer Science 2026-03-19 Anupam Gupta , Haim Kaplan , Alexander Lindermayr , Jens Schlöter , Sorrachai Yingchareonthawornchai

The recent introduction of machine learning techniques, especially normalizing flows, for the sampling of lattice gauge theories has shed some hope on improving the sampling efficiency of the traditional HMC algorithm. Naive use of…

High Energy Physics - Lattice · Physics 2022-12-06 David Albandea , Luigi Del Debbio , Pilar Hernández , Richard Kenway , Joe Marsh Rossney , Alberto Ramos
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