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Standard numerical algorithms like the fast multipole method or $\mathcal{H}$-matrix schemes rely on low-rank approximations of the underlying kernel function. For high-frequency problems, the ranks grow rapidly as the mesh is refined, and…

数值分析 · 数学 2017-06-20 Steffen Börm

Compressing neural networks is a key step when deploying models for real-time or embedded applications. Factorizing the model's matrices using low-rank approximations is a promising method for achieving compression. While it is possible to…

机器学习 · 计算机科学 2023-10-20 Lucas Maison , Hélion du Mas des Bourboux , Thomas Courtat

We consider the problem of approximating an affinely structured matrix, for example a Hankel matrix, by a low-rank matrix with the same structure. This problem occurs in system identification, signal processing and computer algebra, among…

数值分析 · 数学 2014-06-25 Mariya Ishteva , Konstantin Usevich , Ivan Markovsky

The Hadamard decomposition is a powerful technique for data analysis and matrix compression, which decomposes a given matrix into the element-wise product of two or more low-rank matrices. In this paper, we develop an efficient algorithm to…

机器学习 · 计算机科学 2025-04-23 Samuel Wertz , Arnaud Vandaele , Nicolas Gillis

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. A lot of recent effort has been devoted to developing…

数据结构与算法 · 计算机科学 2016-08-15 Rafael da Ponte Barbosa , Alina Ene , Huy L. Nguyen , Justin Ward

Data movement is the dominating factor affecting performance and energy in modern computing systems. Consequently, many algorithms have been developed to minimize the number of I/O operations for common computing patterns. Matrix…

分布式、并行与集群计算 · 计算机科学 2021-01-26 Johannes de Fine Licht , Grzegorz Kwasniewski , Torsten Hoefler

This work presents a unified framework that combines global approximations with locally built models to handle challenging nonconvex and nonsmooth composite optimization problems, including cases involving extended real-valued functions. We…

最优化与控制 · 数学 2026-02-19 Welington de Oliveira , Johannes O. Royset

The efficient and accurate QR decomposition for matrices with hierarchical low-rank structures, such as HODLR and hierarchical matrices, has been challenging. Existing structure-exploiting algorithms are prone to numerical instability as…

数值分析 · 数学 2018-09-28 Daniel Kressner , Ana Susnjara

Many complex multi-agent systems such as robot swarms control and autonomous vehicle coordination can be modeled as Multi-Agent Reinforcement Learning (MARL) tasks. QMIX, a widely popular MARL algorithm, has been used as a baseline for the…

机器学习 · 计算机科学 2023-06-09 Jian Hu , Siyang Jiang , Seth Austin Harding , Haibin Wu , Shih-wei Liao

We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

最优化与控制 · 数学 2025-12-04 Stefan Clarke , Bartolomeo Stellato

Accelerators for sparse matrix multiplication are important components in emerging systems. In this paper, we study the main challenges of accelerating Sparse Matrix Multiplication (SpMM). For the situations that data is not stored in the…

硬件体系结构 · 计算机科学 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik

Deploying neural networks on edge devices entails a careful balance between the energy required for inference and the accuracy of the resulting classification. One technique for navigating this tradeoff is approximate computing: the process…

Machine learning frameworks adopt iterative optimizers to train neural networks. Conventional eager execution separates the updating of trainable parameters from forward and backward computations. However, this approach introduces…

机器学习 · 计算机科学 2021-04-02 Zixuan Jiang , Jiaqi Gu , Mingjie Liu , Keren Zhu , David Z. Pan

We consider the problem of estimation of a low-rank matrix from a limited number of noisy rank-one projections. In particular, we propose two fast, non-convex \emph{proper} algorithms for matrix recovery and support them with rigorous…

机器学习 · 统计学 2017-05-23 Mohammadreza Soltani , Chinmay Hegde

Hierarchical matrices provide a highly memory-efficient way of storing dense linear operators arising, for example, from boundary element methods, particularly when stored in the H^2 format. In such data-sparse representations, iterative…

数值分析 · 数学 2025-09-23 Sven Christophersen

In this paper, we study the problem of matrix recovery, which aims to restore a target matrix of authentic samples from grossly corrupted observations. Most of the existing methods, such as the well-known Robust Principal Component Analysis…

计算机视觉与模式识别 · 计算机科学 2018-11-12 Xingyu Xie , Jianlong Wu , Guangcan Liu , Jun Wang

In this paper, we propose a methodology for partitioning and mapping computational intensive applications in reconfigurable hardware blocks of different granularity. A generic hybrid reconfigurable architecture is considered so as the…

硬件体系结构 · 计算机科学 2011-11-09 M. D. Galanis , A. Milidonis , G. Theodoridis , D. Soudris , C. E. Goutis

Max Restricted Path Consistency (maxRPC) is a local consistency for binary constraints that can achieve considerably stronger pruning than arc consistency. However, existing maxRRC algorithms suffer from overheads and redundancies as they…

人工智能 · 计算机科学 2010-09-01 Thanasis Balafoutis , Anastasia Paparrizou , Kostas Stergiou , Toby Walsh

Deep Neural Networks have achieved remarkable success relying on the developing high computation capability of GPUs and large-scale datasets with increasing network depth and width in image recognition, object detection and many other…

机器学习 · 计算机科学 2020-01-08 E Zhenqian , Gao Weiguo

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…

分布式、并行与集群计算 · 计算机科学 2025-04-11 Jordi Wolfson-Pou , Jan Laukemann , Fabrizio Petrini