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Recent advances in machine learning (ML) have spotlighted the pressing need for computing architectures that bridge the gap between memory bandwidth and processing power. The advent of deep neural networks has pushed traditional Von Neumann…

Hardware Architecture · Computer Science 2024-07-12 Febin Sunny , Amin Shafiee , Abhishek Balasubramaniam , Mahdi Nikdast , Sudeep Pasricha

We present GFORS, a GPU-accelerated framework for large binary integer programs. It couples a first-order (PDHG-style) routine that guides the search in the continuous relaxation with a randomized, feasibility-aware sampling module that…

Optimization and Control · Mathematics 2025-11-03 Ningji Wei , Jiaming Liang

Ordinary state-based peridynamic (OSB-PD) models have an unparalleled capability to simulate crack propagation phenomena in solids with arbitrary Poisson's ratio. However, their non-locality also leads to prohibitively high computational…

Numerical Analysis · Mathematics 2023-09-21 Tao Ni , Mirco Zaccariotto , Qizhi Zhu , Ugo Galvanetto

In this paper, we show the effectiveness of a pipeline implementation of Dynamic Programming (DP) on GPU. As an example, we explain how to solve a matrix-chain multiplication (MCM) problem by DP on GPU. This problem can be sequentially…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-06 Susumu Matsumae , Makoto Miyazaki

Recently several gain-dissipative platforms based on the networks of optical parametric oscillators, lasers, and various non-equilibrium Bose-Einstein condensates have been proposed and realised as analogue Hamiltonian simulators for…

Classical Physics · Physics 2018-11-16 Kirill P. Kalinin , Natalia G. Berloff

The increasing adoption of large language models (LLMs) on heterogeneous computing platforms poses significant challenges to achieving high inference efficiency. To address these efficiency bottlenecks across diverse platforms, this paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-06 Yaozheng Zhang , Wei Wang , Jie Kong , Jiehan Zhou , Xianwei Zhang , Huanqing Cui , Han Bao , Yuhai Liu

Modern Machine Learning (ML) training on large-scale datasets is a very time-consuming workload. It relies on the optimization algorithm Stochastic Gradient Descent (SGD) due to its effectiveness, simplicity, and generalization performance.…

Hardware Architecture · Computer Science 2024-09-30 Steve Rhyner , Haocong Luo , Juan Gómez-Luna , Mohammad Sadrosadati , Jiawei Jiang , Ataberk Olgun , Harshita Gupta , Ce Zhang , Onur Mutlu

A degenerate optical parametric oscillator network is proposed to solve the NP-hard problem of finding a ground state of the Ising model. The underlying operating mechanism originates from the bistable output phase of each oscillator and…

Quantum Physics · Physics 2015-06-17 Zhe Wang , Alireza Marandi , Kai Wen , Robert L. Byer , Yoshihisa Yamamoto

Linear system solving is a key tool for computational power system studies, e.g., optimal power flow, transmission switching, or unit commitment. CPU-based linear system solver speeds, however, have saturated in recent years. Emerging…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Samuel Chevalier , Robert Parker

A novel Gibbs Markov random field for spatial data on Cartesian grids based on the modified planar rotator (MPR) model of statistical physics has been recently introduced for efficient and automatic interpolation of big data sets, such as…

Computational Physics · Physics 2019-10-21 Milan Žukovič , Michal Borovský , Matúš Lach , Dionissios T. Hristopulos

We report numerical results on solving constrained linear-quadratic model predictive control (MPC) problems by exploiting graphics processing units (GPUs). The presented method reduces the MPC problem by eliminating the state variables and…

Optimization and Control · Mathematics 2026-05-11 David Cole , Sungho Shin , François Pacaud , Victor M. Zavala , Mihai Anitescu

Digital processing-in-memory (PIM) architectures are rapidly emerging to overcome the memory-wall bottleneck by integrating logic within memory elements. Such architectures provide vast computational power within the memory itself in the…

Hardware Architecture · Computer Science 2023-04-18 Orian Leitersdorf , Dean Leitersdorf , Jonathan Gal , Mor Dahan , Ronny Ronen , Shahar Kvatinsky

The emergence of huge-scale, data-intensive linear optimization (LO) problems in applications such as machine learning has driven the need for more computationally efficient interior point methods (IPMs). While conventional IPMs are…

We present a batched first-order method for solving multiple linear programs in parallel on GPUs. Our approach extends the primal-dual hybrid gradient algorithm to efficiently solve batches of related linear programming problems that arise…

Optimization and Control · Mathematics 2026-01-30 Nicolas Blin , Stefano Gualandi , Christopher Maes , Andrea Lodi , Bartolomeo Stellato

This paper demonstrates the scalability of open-source GPU-accelerated nonlinear programming (NLP) frameworks -- ExaModels.jl and MadNLP.jl -- for solving multi-period alternating current (AC) optimal power flow (OPF) problems on GPUs with…

Optimization and Control · Mathematics 2024-05-24 Sungho Shin , Vishwas Rao , Michel Schanen , D. Adrian Maldonado , Mihai Anitescu

The generic matrix multiply (GEMM) function is the core element of high-performance linear algebra libraries used in many computationally-demanding digital signal processing (DSP) systems. We propose an acceleration technique for GEMM based…

Mathematical Software · Computer Science 2015-05-30 Davide Anastasia , Yiannis Andreopoulos

Recent advances in LiDAR technology have opened up new possibilities for robotic navigation. Given the widespread use of occupancy grid maps (OGMs) in robotic motion planning, this paper aims to address the challenges of integrating LiDAR…

Robotics · Computer Science 2023-03-01 Yunfan Ren , Yixi Cai , Fangcheng Zhu , Siqi Liang , Fu Zhang

The graphics processing unit (GPU) has emerged as a powerful and cost effective processor for general performance computing. GPUs are capable of an order of magnitude more floating-point operations per second as compared to modern central…

Computation · Statistics 2012-07-24 Mark Franey , Pritam Ranjan , Hugh Chipman

Gaussian Process (GP) models are widely used for Robotic Information Gathering (RIG) in exploring unknown environments due to their ability to model complex phenomena with non-parametric flexibility and accurately quantify prediction…

Robotics · Computer Science 2024-06-07 Weizhe Chen , Lantao Liu , Roni Khardon

Dynamic simulators are computational models governed by differential equations that evolve over time. They are essential for scientific and engineering applications but remain challenging to emulate because of the unpredictable behavior of…

Computation · Statistics 2025-08-12 Junoh Heo