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Submodular maximization has been a central topic in theoretical computer science and combinatorial optimization over the last decades. Plenty of well-performed approximation algorithms have been designed for the problem over a variety of…

Data Structures and Algorithms · Computer Science 2023-07-20 Xiaoming Sun , Jialin Zhang , Zhijie Zhang

Low precision data representation is important to reduce storage size and memory access for convolutional neural networks (CNNs). Yet, existing methods have two major limitations: (1) requiring re-training to maintain accuracy for deep…

Signal Processing · Electrical Eng. & Systems 2020-03-10 Chen Wu , Mingyu Wang , Xinyuan Chu , Kun Wang , Lei He

Symmetric nonnegative matrix factorization (SNMF) is equivalent to computing a symmetric nonnegative low rank approximation of a data similarity matrix. It inherits the good data interpretability of the well-known nonnegative matrix…

Numerical Analysis · Computer Science 2017-10-11 Qingjiang Shi , Haoran Sun , Songtao Lu , Mingyi Hong , Meisam Razaviyayn

The state-of-art DNN structures involve intensive computation and high memory storage. To mitigate the challenges, the memristor crossbar array has emerged as an intrinsically suitable matrix computation and low-power acceleration framework…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Xiaolong Ma , Geng Yuan , Sheng Lin , Caiwen Ding , Fuxun Yu , Tao Liu , Wujie Wen , Xiang Chen , Yanzhi Wang

Matrix multiplications between asymmetric bit-width operands, especially between 8- and 4-bit operands are likely to become a fundamental kernel of many important workloads including neural networks and machine learning. While existing SIMD…

Machine Learning · Computer Science 2020-08-04 Dibakar Gope , Jesse Beu , Matthew Mattina

General Matrix Multiplication (GEMM) is a fundamental operation widely used in scientific computations. Its performance and accuracy significantly impact the performance and accuracy of applications that depend on it. One such application…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Fumiya Kono , Naohito Nakasato , Maho Nakata

Recent hardware acceleration advances have enabled powerful specialized accelerators for finite element computations, spiking neural network inference, and sparse tensor operations. However, existing approaches face fundamental limitations:…

Hardware Architecture · Computer Science 2026-01-09 Chuanzhen Wang , Leo Zhang , Eric Liu

Block majorization-minimization (BMM) is a simple iterative algorithm for constrained nonconvex optimization that sequentially minimizes majorizing surrogates of the objective function in each block while the others are held fixed. BMM…

Optimization and Control · Mathematics 2025-01-22 Hanbaek Lyu , Yuchen Li

Coded Distributed Matrix Multiplication (CDMM) is a distributed matrix multiplication (DMM) for large-scale matrices through a coding scheme such that any $R$ worker node among all $N$ worker nodes can recover the final product, where $N$…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-03 Yi Kuang , Jiang Li , Songsong Li , Chaoping Xing

Nonlinearities are crucial for capturing complex input-output relationships especially in deep neural networks. However, nonlinear functions often incur various hardware and compute overheads. Meanwhile, stochastic computing (SC) has…

Machine Learning · Computer Science 2024-05-07 Xincheng Feng , Guodong Shen , Jianhao Hu , Meng Li , Ngai Wong

Dimensionality reduction is a first step of many machine learning pipelines. Two popular approaches are principal component analysis, which projects onto a small number of well chosen but non-interpretable directions, and feature selection,…

Machine Learning · Statistics 2018-12-27 Ayoub Belhadji , Rémi Bardenet , Pierre Chainais

Transformers are at the core of modern AI nowadays. They rely heavily on matrix multiplication and require efficient acceleration due to their substantial memory and computational requirements. Quantization plays a vital role in reducing…

Hardware Architecture · Computer Science 2026-04-03 Ahmed J. Abdelmaksoud , Cristian Sestito , Shiwei Wang , Themis Prodromakis

In this paper, we propose an inexact multi-block ADMM-type first-order method for solving a class of high-dimensional convex composite conic optimization problems to moderate accuracy. The design of this method combines an inexact 2-block…

Optimization and Control · Mathematics 2020-06-09 Liang Chen , Defeng Sun , Kim-Chuan Toh

Several manufacturers have already started to commercialize near-bank Processing-In-Memory (PIM) architectures. Near-bank PIM architectures place simple cores close to DRAM banks and can yield significant performance and energy improvements…

Hardware Architecture · Computer Science 2022-05-24 Christina Giannoula , Ivan Fernandez , Juan Gómez-Luna , Nectarios Koziris , Georgios Goumas , Onur Mutlu

Sparse general matrix-matrix multiplication (SpGEMM) is a critical operation in many applications. Current multithreaded implementations are based on Gustavson's algorithm and often perform poorly on large matrices due to limited cache…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-11 Jordi Wolfson-Pou , Jan Laukemann , Fabrizio Petrini

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

The sparse matrix-vector (SpMV) multiplication is an important computational kernel, but it is notoriously difficult to execute efficiently. This paper investigates algorithm performance for unstructured sparse matrices, which are more…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

As users and developers, we are witnessing the opening of a new computing scenario: the introduction of hybrid processors into a single die, such as an accelerated processing unit (APU) processor, and the plug-and-play of additional…

Mathematical Software · Computer Science 2012-05-15 Paolo D'Alberto

Modern Neural Network (NN) architectures heavily rely on vast numbers of multiply-accumulate arithmetic operations, constituting the predominant computational cost. Therefore, this paper proposes a high-throughput, scalable and energy…

Hardware Architecture · Computer Science 2024-07-09 Xuqi Zhu , Huaizhi Zhang , JunKyu Lee , Jiacheng Zhu , Chandrajit Pal , Sangeet Saha , Klaus D. McDonald-Maier , Xiaojun Zhai

Single-Program-Multiple-Data (SPMD) parallelism has recently been adopted to train large deep neural networks (DNNs). Few studies have explored its applicability on heterogeneous clusters, to fully exploit available resources for large…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Shiwei Zhang , Lansong Diao , Chuan Wu , Zongyan Cao , Siyu Wang , Wei Lin