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We introduce a data distribution scheme for $\mathcal{H}$-matrices and a distributed-memory algorithm for $\mathcal{H}$-matrix-vector multiplication. Our data distribution scheme avoids an expensive $\Omega(P^2)$ scheduling procedure used…

Numerical Analysis · Mathematics 2020-09-23 Yingzhou Li , Jack Poulson , Lexing Ying

It is well known that physical phenomena may be of great help in computing some difficult problems efficiently. A typical example is prime factorization that may be solved in polynomial time by exploiting quantum entanglement on a quantum…

Emerging Technologies · Computer Science 2018-05-23 Massimiliano Di Ventra , Fabio L. Traversa

Typical large-scale recommender systems use deep learning models that are stored on a large amount of DRAM. These models often rely on embeddings, which consume most of the required memory. We present Bandana, a storage system that reduces…

Machine Learning · Computer Science 2018-11-16 Assaf Eisenman , Maxim Naumov , Darryl Gardner , Misha Smelyanskiy , Sergey Pupyrev , Kim Hazelwood , Asaf Cidon , Sachin Katti

We present a novel approach for accelerating convolutions during inference for CPU-based architectures. The most common method of computation involves packing the image into the columns of a matrix (im2col) and performing general matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Amir Ofir , Gil Ben-Artzi

Artificial Neural Network computation relies on intensive vector-matrix multiplications. Recently, the emerging nonvolatile memory (NVM) crossbar array showed a feasibility of implementing such operations with high energy efficiency, thus…

Emerging Technologies · Computer Science 2017-04-03 Hyungjun Kim , Taesu Kim , Jinseok Kim , Jae-Joon Kim

We present a new formulation for parallel matrix multiplication (MM) to out-perform the standard row-column code design. This algorithm is formulated in the MoA formalism (A Mathematics of Arrays) and combines an array view of hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Lenore M. R. Mullin

Recent advances in neural-network architecture allow for seamless integration of convex optimization problems as differentiable layers in an end-to-end trainable neural network. Integrating medium and large scale quadratic programs into a…

Optimization and Control · Mathematics 2021-12-15 Andrew Butler , Roy Kwon

The rising computational demand of modern workloads has renewed interest in energy-efficient paradigms such as neuromorphic and analog computing. A fundamental operation in these systems is matrix-vector multiplication (MVM), ubiquitous in…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Caio Silva , Giuseppe Romano

In cloud and edge computing models, it is important that compute devices at the edge be as power efficient as possible. Long short-term memory (LSTM) neural networks have been widely used for natural language processing, time series…

Neural and Evolutionary Computing · Computer Science 2020-02-26 Wen Ma , Pi-Feng Chiu , Won Ho Choi , Minghai Qin , Daniel Bedau , Martin Lueker-Boden

Matrix multiplication is the dominant computation during Machine Learning (ML) inference. To efficiently perform such multiplication operations, Compute-in-memory (CiM) paradigms have emerged as a highly energy efficient solution. However,…

Hardware Architecture · Computer Science 2025-03-03 Tanvi Sharma , Mustafa Ali , Indranil Chakraborty , Kaushik Roy

Several efficient distributed algorithms have been developed for matrix-matrix multiplication: the 3D algorithm, the 2D SUMMA algorithm, and the 2.5D algorithm. Each of these algorithms was independently conceived and they trade-off memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-29 Rui Li , Yufan Xu , Aravind Sukumaran-Rajam , Atanas Rountev , P Sadayappan

Matrix multiplication (hereafter we use the acronym MM) is among the most fundamental operations of modern computations. The efficiency of its performance depends on various factors, in particular vectorization, data movement and arithmetic…

Data Structures and Algorithms · Computer Science 2015-02-09 Victor Y. Pan

Recent studies have demonstrated improved skill in numerical weather prediction via the use of spatially correlated observation error covariance information in data assimilation systems. In this case, the observation weighting matrices…

Numerical Analysis · Mathematics 2022-01-05 Guannan Hu , Sarah L. Dance

Memristor crossbars enable vector-matrix multiplication (VMM), and are promising for low-power applications. However, it can be difficult to write the memristor conductance values exactly. To improve the accuracy of VMM, we propose a scheme…

Signal Processing · Electrical Eng. & Systems 2025-10-07 Binyu Lu , Matthias Frey , Stark Draper , Jingge Zhu

Despite their tremendous success and versatility, Deep Neural Networks (DNNs) such as Large Language Models (LLMs) suffer from inference inefficiency and rely on advanced computational infrastructure. To address these challenges and make…

Machine Learning · Computer Science 2025-05-05 Mohsen Dehghankar , Mahdi Erfanian , Abolfazl Asudeh

The Fast Multipole Method (FMM) computes pairwise interactions between particles with an efficiency that scales linearly with the number of particles. The method works by grouping particles based on their spatial distribution and…

Computational Physics · Physics 2025-08-05 He Zhang

Large-scale artificial neural networks have shown significant promise in addressing a wide range of classification and recognition applications. However, their large computational requirements stretch the capabilities of computing…

Neural and Evolutionary Computing · Computer Science 2017-11-13 Syed Shakib Sarwar , Swagath Venkataramani , Anand Raghunathan , Kaushik Roy

Modern computing systems are embracing hybrid memory comprising of DRAM and non-volatile memory (NVM) to combine the best properties of both memory technologies, achieving low latency, high reliability, and high density. A prominent…

Hardware Architecture · Computer Science 2020-05-12 Shihao Song , Anup Das , Nagarajan Kandasamy

Deep neural networks have become the standard approach to building reliable Natural Language Processing (NLP) applications, ranging from Neural Machine Translation (NMT) to dialogue systems. However, improving accuracy by increasing the…

Computation and Language · Computer Science 2020-10-19 Matthew Khoury , Rumen Dangovski , Longwu Ou , Preslav Nakov , Yichen Shen , Li Jing

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel