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Linear recurrent neural networks enable powerful long-range sequence modeling with constant memory usage and time-per-token during inference. These architectures hold promise for streaming applications at the edge, but deployment in…

Machine Learning · Computer Science 2025-08-14 Alessandro Pierro , Steven Abreu , Jonathan Timcheck , Philipp Stratmann , Andreas Wild , Sumit Bam Shrestha

Sparse matrices have recently played a significant and impactful role in scientific computing, including artificial intelligence-related fields. According to historical studies on sparse matrix--vector multiplication (SpMV), Krylov subspace…

Numerical Analysis · Mathematics 2024-12-24 Tomonori Kouya

In engineering applications sorting is an important and widely studied problem where execution speed and resources used for computation are of extreme importance, especially if we think about real time data processing. Most of the…

Hardware Architecture · Computer Science 2012-06-08 Rourab Paul , Suman Sau , Amlan Chakrabarti

Motivated by applications such as sparse PCA, in this paper we present provably-accurate one-pass algorithms for the sparse approximation of the top eigenvectors of extremely massive matrices based on a single compact linear sketch. The…

Information Theory · Computer Science 2026-05-06 Edem Boahen , Simone Brugiapaglia , Hung-Hsu Chou , Mark Iwen , Felix Krahmer

Sparse matrix-matrix multiplication (SpGEMM) is a critical operation in numerous fields, including scientific computing, graph analytics, and deep learning. These applications exploit the sparsity of matrices to reduce storage and…

Machine Learning · Computer Science 2024-08-30 Sanjali Yadav , Bahar Asgari

Electronic devices primarily aim to offer low power consumption, high speed, and a compact area. The performance of very large-scale integration (VLSI) devices is influenced by arithmetic operations, where multiplication is a crucial…

Hardware Architecture · Computer Science 2025-06-16 Ali Ranjbar , Elham Esmaeili , Roghayeh Rafieisangari , Nabiollah Shiri

Reservoir computing is a brain-inspired machine learning framework for processing temporal data by mapping inputs into high-dimensional spaces. Physical reservoir computers (PRCs) leverage native fading memory and nonlinearity in physical…

Emerging Technologies · Computer Science 2024-05-16 Ahmed S. Mohamed , Anurag Dhungel , Md Sakib Hasan , Joseph S. Najem

Sparse tiling is a technique to fuse loops that access common data, thus increasing data locality. Unlike traditional loop fusion or blocking, the loops may have different iteration spaces and access shared datasets through indirect memory…

Computational Engineering, Finance, and Science · Computer Science 2019-06-20 Fabio Luporini , Michael Lange , Christian T. Jacobs , Gerard J. Gorman , J. Ramanujam , Paul H. J. Kelly

We present a parallel hierarchical solver for general sparse linear systems on distributed-memory machines. For large-scale problems, this fully algebraic algorithm is faster and more memory-efficient than sparse direct solvers because it…

Numerical Analysis · Mathematics 2017-12-21 Chao Chen , Hadi Pouransari , Sivasankaran Rajamanickam , Erik G. Boman , Eric Darve

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in scientific computing, graph analytics, and machine learning, whose performance is often constrained by memory bandwidth. In this work, we investigate the applicability…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Matthew Qian , Yahia Ramadan , Suhita Anubha , Ariful Azad

Tasks in which rewards depend upon past information not available in the current observation set can only be solved by agents that are equipped with short-term memory. Usual choices for memory modules include trainable recurrent hidden…

Machine Learning · Computer Science 2024-12-18 Kevin McKee

Path planning is critical for autonomous driving, generating smooth, collision-free, feasible paths based on perception and localization inputs. However, its computationally intensive nature poses significant challenges for…

Hardware Architecture · Computer Science 2025-07-23 Yifan Zhang , Xiaoyu Niu , Hongzheng Tian , Yanjun Zhang , Bo Yu , Shaoshan Liu , Sitao Huang

Reservoir computing is an emerging methodology for neuromorphic computing that is especially well-suited for hardware implementations in size, weight, and power (SWaP) constrained environments. This work proposes a novel hardware…

Neural and Evolutionary Computing · Computer Science 2020-03-25 Peng Zhou , Nathan R. McDonald , Alexander J. Edwards , Lisa Loomis , Clare D. Thiem , Joseph S. Friedman

Square matrices appear in many machine learning problems and models. Optimization over a large square matrix is expensive in memory and in time. Therefore an economic approximation is needed. Conventional approximation approaches factorize…

Machine Learning · Computer Science 2021-09-20 Ruslan Khalitov , Tong Yu , Lei Cheng , Zhirong Yang

Generalized sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. Here we show that SpGEMM also yields efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Aydin Buluc , John Gilbert

General sparse matrix-matrix multiplication (SpGEMM) is a fundamental building block for numerous applications such as algebraic multigrid method (AMG), breadth first search and shortest path problem. Compared to other sparse BLAS routines,…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

This paper presents and demonstrates a stochastic logic time delay reservoir design in FPGA hardware. The reservoir network approach is analyzed using a number of metrics, such as kernel quality, generalization rank, performance on simple…

Neural and Evolutionary Computing · Computer Science 2018-09-17 Lisa Loomis , Nathan McDonald , Cory Merkel

Sparse linear algebra kernels play a critical role in numerous applications, covering from exascale scientific simulation to large-scale data analytics. Offloading linear algebra kernels on one GPU will no longer be viable in these…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-19 Jieyang Chen , Chenhao Xie , Jesun S Firoz , Jiajia Li , Shuaiwen Leon Song , Kevin Barker , Mark Raugas , Ang Li

Matrix-multiply-accumulate (MMA) units, or tensor cores, are now widespread across modern computing architectures. Yet, their use for particle-grid operators remains limited. In implicit particle methods, mass-matrix assembly is a…

Computational Engineering, Finance, and Science · Computer Science 2026-04-22 Luca Pennati , Stefano Markidis

Matrix-matrix multiplication is a key computational kernel for numerous applications in science and engineering, with ample parallelism and data locality that lends itself well to high-performance implementations. Many matrix…

Hardware Architecture · Computer Science 2019-06-12 Yaman Umuroglu , Davide Conficconi , Lahiru Rasnayake , Thomas B. Preusser , Magnus Sjalander