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We developed and applied a machine-learned discretization for one-dimensional (1-D) horizontal passive scalar advection, which is an operator component common to all chemical transport models (CTMs). Our learned advection scheme resembles a…

Atmospheric and Oceanic Physics · Physics 2023-09-21 Manho Park , Zhonghua Zheng , Nicole Riemer , Christopher W. Tessum

We prove convergence of the proximal policy gradient method for a class of constrained stochastic control problems with control in both the drift and diffusion of the state process. The problem requires either the running or terminal cost…

Optimization and Control · Mathematics 2025-05-27 Ashley Davey , Harry Zheng

This paper presents a particle-based optimization method designed for addressing minimization problems with equality constraints, particularly in cases where the loss function exhibits non-differentiability or non-convexity. The proposed…

Optimization and Control · Mathematics 2026-03-31 José A. Carrillo , Shi Jin , Haoyu Zhang , Yuhua Zhu

The dynamic load balancing algorithm based on the monitoring server load, self-similar characteristics of passing traffic have to provide a statistically uniform load distribution on servers, high performance, fault tolerance and capacity,…

Networking and Internet Architecture · Computer Science 2019-04-22 Lyudmila Kirichenko , Igor Ivanisenko , Tamara Radivilova

We describe an algorithm for dynamic load balancing of geometrically parallelized synchronous Monte Carlo simulations of physical models. This algorithm is designed for a (heterogeneous) multiprocessor system of the MIMD type with…

High Energy Physics - Lattice · Physics 2009-10-22 P. Altevogt , A. Linke

Particle flow (PFL) is an effective method for overcoming particle degeneracy, the main limitation of particle filtering. In PFL, particles are migrated towards regions of high likelihood based on the solution of a partial differential…

Signal Processing · Electrical Eng. & Systems 2024-12-16 Wenyu Zhang , Mohammad J. Khojasteh , Nikolay A. Atanasov , Florian Meyer

Load balancing arises as a fundamental problem, underlying the dimensioning and operation of many computing and communication systems, such as job routing in data center clusters, multipath communication, Big Data and queueing systems. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-12 Anam Tahir , Bastian Alt , Amr Rizk , Heinz Koeppl

Particle probability hypothesis density filtering has become a promising means for multi-target tracking due to its capability of handling an unknown and time-varying number of targets in non-linear non-Gaussian system. However, its…

Computation · Statistics 2015-03-13 Wang Junjie , Zhao Lingling , Su Xiaohong , Ma Peijun

We propose a GPU fine-grained load-balancing abstraction that decouples load balancing from work processing and aims to support both static and dynamic schedules with a programmable interface to implement new load-balancing schedules. Prior…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Muhammad Osama , Serban D. Porumbescu , John D. Owens

We present a robust computational framework for advective-diffusive-reactive systems that satisfies maximum principles, the non-negative constraint, and element-wise species balance property. The proposed methodology is valid on general…

Numerical Analysis · Mathematics 2015-11-10 M. K. Mudunuru , K. B. Nakshatrala

Parallel iterative applications often suffer from load imbalance, one of the most critical performance degradation factors. Hence, load balancing techniques are used to distribute the workload evenly to maximize performance. A key challenge…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-06 Anthony Boulmier , Nabil Abdennadher , Bastien Chopard

Particle methods play an important role in computational fluid dynamics, but they are among the most difficult to implement and solve. The most common method is smoothed particle hydrodynamics, which is suitable for problem settings that…

Fluid Dynamics · Physics 2025-08-26 Masato Shibukawa , Naoya Ozaki , Maximilien Berthet

In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman

In this work we develop a novel domain splitting strategy for the solution of partial differential equations. Focusing on a uniform discretization of the $d$-dimensional advection-diffusion equation, our proposal is a two-level algorithm…

Numerical Analysis · Mathematics 2023-03-03 Ken Trotti

Coordinated multi-arm manipulation requires satisfying multiple simultaneous geometric constraints across high-dimensional configuration spaces, which poses a significant challenge for traditional planning and control methods. In this work,…

Robotics · Computer Science 2026-02-26 Haolei Tong , Yuezhe Zhang , Sophie Lueth , Georgia Chalvatzaki

Explicit numerical finite difference schemes for partial differential equations are well known to be easy to implement but they are particularly problematic for solving equations whose solutions admit shocks, blowups and discontinuities.…

Numerical Analysis · Mathematics 2016-10-19 Christopher. N. Angstmann , Bruce I. Henry , Byron A. Jacobs , Anna V. McGann

Particulate flows have been largely studied under the simplifying assumptions of one-way coupling regime where the disperse phase do not react-back on the carrier fluid. In the context of turbulent flows, many non trivial phenomena such as…

Chaotic Dynamics · Physics 2023-07-19 P. Gualtieri , F. Picano , G. Sardina , C. M. Casciola

We introduce the Projected Push-Pull algorithm that enables multiple agents to solve a distributed constrained optimization problem with private cost functions and global constraints, in a collaborative manner. Our algorithm employs…

Optimization and Control · Mathematics 2023-10-11 Orhan Eren Akgün , Arif Kerem Dayı , Stephanie Gil , Angelia Nedić

This paper presents a characteristic-based flux partitioning for the semi-implicit time integration of atmospheric flows. Nonhydrostatic models require the solution of the compressible Euler equations. The acoustic time-scale is…

Computational Engineering, Finance, and Science · Computer Science 2018-03-21 Debojyoti Ghosh , Emil M. Constantinescu

We propose an adaptive diffusion mechanism to optimize a global cost function in a distributed manner over a network of nodes. The cost function is assumed to consist of a collection of individual components. Diffusion adaptation allows the…

Optimization and Control · Mathematics 2015-06-03 Jianshu Chen , Ali H. Sayed