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We present a novel method for approximately equilibrating a matrix $A \in {\bf R}^{m \times n}$ using only multiplication by $A$ and $A^T$. Our method is based on convex optimization and projected stochastic gradient descent, using an…

最优化与控制 · 数学 2016-02-23 Steven Diamond , Stephen Boyd

This paper presents an efficient technique for matrix-vector and vector-transpose-matrix multiplication in distributed-memory parallel computing environments, where the matrices are unstructured, sparse, and have a substantially larger…

数学软件 · 计算机科学 2018-12-04 Jonathan Eckstein , Gyorgy Matyasfalvi

The evolution of Large Language Model (LLM) serving towards complex, distributed architectures--specifically the P/D-separated, large-scale DP+EP paradigm--introduces distinct scheduling challenges. Unlike traditional deployments where…

分布式、并行与集群计算 · 计算机科学 2025-12-19 Jian Tian , Shuailong Li , Yang Cao , Wenbo Cui , Minghan Zhu , Wenkang Wu , Jianming Zhang , Yanpeng Wang , Zhiwen Xiao , Zhenyu Hou , Dou Shen

We introduce a novel approach to endowing neural networks with emergent, long-term, large-scale memory. Distinct from strategies that connect neural networks to external memory banks via intricately crafted controllers and hand-designed…

机器学习 · 计算机科学 2020-08-18 Tri Huynh , Michael Maire , Matthew R. Walter

This work evaluates the impact of sparse matrix reordering on the performance of sparse matrix-vector multiplication across different multicore CPU platforms. Reordering can significantly enhance performance by optimizing the non-zero…

分布式、并行与集群计算 · 计算机科学 2025-09-23 Omid Asudeh , Sina Mahdipour Saravani , Gerald Sabin , Fabrice Rastello , P Sadayappan

In this work, we consider robust submodular maximization with matroid constraints. We give an efficient bi-criteria approximation algorithm that outputs a small family of feasible sets whose union has (nearly) optimal objective value. This…

数据结构与算法 · 计算机科学 2018-07-26 Sebastian Pokutta , Mohit Singh , Alfredo Torrico

Computation of the large sparse matrix exponential has been an important topic in many fields, such as network and finite-element analysis. The existing scaling and squaring algorithm (SSA) is not suitable for the computation of the large…

数值分析 · 数学 2021-10-12 Feng Wu , Kailing Zhang , Li Zhu , Jiayao Hu

There is a high demand of space-efficient algorithms in built-in or embedded softwares. In this paper, we consider the problem of designing space-efficient algorithms for computing the maximum area empty rectangle (MER) among a set of…

计算几何 · 计算机科学 2011-04-18 Minati De , Subhas C. Nandy

Majorization-minimization algorithms consist of iteratively minimizing a majorizing surrogate of an objective function. Because of its simplicity and its wide applicability, this principle has been very popular in statistics and in signal…

机器学习 · 统计学 2013-09-11 Julien Mairal

Matrix-vector multiplication is one of the most fundamental computing primitives. Given a matrix $A\in\mathbb{F}^{N\times N}$ and a vector $b$, it is known that in the worst case $\Theta(N^2)$ operations over $\mathbb{F}$ are needed to…

数据结构与算法 · 计算机科学 2017-11-21 Christopher De Sa , Albert Gu , Rohan Puttagunta , Christopher Ré , Atri Rudra

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…

分布式、并行与集群计算 · 计算机科学 2023-06-21 Lenore M. R. Mullin

We study classical deadline-based preemptive scheduling of tasks in a computing environment equipped with both dynamic speed scaling and sleep state capabilities: Each task is specified by a release time, a deadline and a processing volume,…

数据结构与算法 · 计算机科学 2014-07-04 Antonios Antoniadis , Chien-Chung Huang , Sebastian Ott

We multiply two $n \times n$ matrices $S,T$ over semirings in the Congested Clique model, where $n$ fully connected nodes communicate synchronously using $O(\log n)$-bit messages, within $O(nz(S)^{1/3} nz(T)^{1/3}/n + 1)$ rounds of…

数据结构与算法 · 计算机科学 2019-03-22 Keren Censor-Hillel , Dean Leitersdorf , Elia Turner

The optimization-based meta-learning approach is gaining increased traction because of its unique ability to quickly adapt to a new task using only small amounts of data. However, existing optimization-based meta-learning approaches, such…

机器学习 · 计算机科学 2024-12-17 Honglin Yang , Ji Ma , Xiao Yu

We present new algorithms to detect and correct errors in the product of two matrices, or the inverse of a matrix, over an arbitrary field. Our algorithms do not require any additional information or encoding other than the original inputs…

符号计算 · 计算机科学 2018-02-08 Daniel S. Roche

One approach for reducing run time and improving efficiency of machine learning is to reduce the convergence rate of the optimization algorithm used. Shuffling is an algorithm technique that is widely used in machine learning, but it only…

机器学习 · 计算机科学 2023-06-29 Yuetong Xu , Baharan Mirzasoleiman

Coded computing is an effective technique to mitigate "stragglers" in large-scale and distributed matrix multiplication. In particular, univariate polynomial codes have been shown to be effective in straggler mitigation by making the…

信息论 · 计算机科学 2021-08-19 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

In this paper, we present and analyze a new set of low-rank recovery algorithms for linear inverse problems within the class of hard thresholding methods. We provide strategies on how to set up these algorithms via basic ingredients for…

数值分析 · 计算机科学 2013-01-15 Anastasios Kyrillidis , Volkan Cevher

We consider the classical makespan minimization scheduling problem where $n$ jobs must be scheduled on $m$ identical machines. Using weighted random sampling, we developed two sublinear time approximation schemes: one for the case where $n$…

数据结构与算法 · 计算机科学 2026-05-05 Bin Fu , Yumei Huo , Hairong Zhao

We consider the problem of massive matrix multiplication, which underlies many data analytic applications, in a large-scale distributed system comprising a group of worker nodes. We target the stragglers' delay performance bottleneck, which…

信息论 · 计算机科学 2020-04-10 Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr
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