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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…

最优化与控制 · 数学 2025-01-22 Hanbaek Lyu , Yuchen Li

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

数据结构与算法 · 计算机科学 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

We study the problem of fairness in k-centers clustering on data with disjoint demographic groups. Specifically, this work proposes a variant of fairness which restricts each group's number of centers with both a lower bound…

数据结构与算法 · 计算机科学 2022-07-26 Huy Lê Nguyen , Thy Nguyen , Matthew Jones

A robust algorithm for non-negative matrix factorization (NMF) is presented in this paper with the purpose of dealing with large-scale data, where the separability assumption is satisfied. In particular, we modify the Linear Programming…

机器学习 · 统计学 2014-01-10 Jason Gejie Liu , Shuchin Aeron

A promising approach to optimal control of nonlinear systems involves iteratively linearizing the system and solving an optimization problem at each time instant to determine the optimal control input. Since this approach relies on online…

最优化与控制 · 数学 2025-01-30 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

We address the problem of efficient verification of multi-threaded programs running over Total Store Order (TSO) memory model. It has been shown that even with finite data domain programs, the complexity of control state reachability under…

计算机科学中的逻辑 · 计算机科学 2016-06-20 Chinmay Narayan , Subodh Sharma , S. Arun-Kumar

In the wake of the explosive growth in smartphones and cyberphysical systems, there has been an accelerating shift in how data is generated away from centralised data towards on-device generated data. In response, machine learning…

机器学习 · 计算机科学 2021-12-09 Ross Drummond , Mathew C. Turner , Stephen R. Duncan

We investigate how to train kernel approximation methods that generalize well under a memory budget. Building on recent theoretical work, we define a measure of kernel approximation error which we find to be more predictive of the empirical…

机器学习 · 计算机科学 2019-03-21 Jian Zhang , Avner May , Tri Dao , Christopher Ré

In this work we consider the diversity maximization problem, where given a data set $X$ of $n$ elements, and a parameter $k$, the goal is to pick a subset of $X$ of size $k$ maximizing a certain diversity measure. [CH01] defined a variety…

数据结构与算法 · 计算机科学 2023-07-11 Sepideh Mahabadi , Shyam Narayanan

A prominent problem in scheduling theory is the weighted flow time problem on one machine. We are given a machine and a set of jobs, each of them characterized by a processing time, a release time, and a weight. The goal is to find a…

数据结构与算法 · 计算机科学 2023-08-14 Alexander Armbruster , Lars Rohwedder , Andreas Wiese

Binary quadratic programming problems have attracted much attention in the last few decades due to their potential applications. This type of problems are NP-hard in general, and still considered a challenge in the design of efficient…

数据结构与算法 · 计算机科学 2014-11-20 Khaled Elbassioni , Trung Thanh Nguyen

Speed-robust scheduling is the following two-stage problem of scheduling $n$ jobs on $m$ uniformly related machines. In the first stage, the algorithm receives the value of $m$ and the processing times of $n$ jobs; it has to partition the…

数据结构与算法 · 计算机科学 2024-07-17 Josef Minařík , Jiří Sgall

In this paper, we study the generalized problem that minimizes or maximizes a multi-order complex quadratic form with constant-modulus constraints on all elements of its optimization variable. Such a mathematical problem is commonly…

信号处理 · 电气工程与系统科学 2025-08-28 Chunxuan Shi , Yongzhe Li , Ran Tao

Sorting is one of the most basic primitives in many algorithms and data analysis tasks. Comparison-based sorting algorithms, like quick-sort and merge-sort, are known to be optimal when the outcome of each comparison is error-free. However,…

数据结构与算法 · 计算机科学 2025-05-06 Ragesh Jaiswal , Amit Kumar , Jatin Yadav

An adaptive approach to using reduced-order models as surrogates in PDE-constrained optimization is introduced that breaks the traditional offline-online framework of model order reduction. A sequence of optimization problems constrained by…

最优化与控制 · 数学 2014-07-30 Matthew J. Zahr , Charbel Farhat

We consider a variant of the online buffer management problem in network switches, called the $k$-frame throughput maximization problem ($k$-FTM). This problem models the situation where a large frame is fragmented into $k$ packets and…

数据结构与算法 · 计算机科学 2013-09-23 Jun Kawahara , Koji M. Kobayashi , Shuichi Miyazaki

Order picking and order packing entail retrieving items from storage and packaging them according to customer requests. These activities have always been the main concerns of the companies in reducing warehouse management costs. This paper…

最优化与控制 · 数学 2022-06-24 Sen Xue , Chuanhou Gao

The matrix rank minimization problem has applications in many fields such as system identification, optimal control, low-dimensional embedding, etc. As this problem is NP-hard in general, its convex relaxation, the nuclear norm minimization…

最优化与控制 · 数学 2011-01-04 Donald Goldfarb , Shiqian Ma

Motivated by green manufacturing, this paper investigates a scheduling with rejection problem subject to an energy consumption constraint. Machines are associated with non-uniform energy consumption rates, defined as the energy consumed per…

数据结构与算法 · 计算机科学 2026-01-16 Mingyang Gong , Brendan Mumey

In the study of micro-swimmers, both artificial and biological ones, many-query problems arise naturally. Even with the use of advanced high performance computing (HPC), it is not possible to solve this kind of problems in an acceptable…

数值分析 · 数学 2020-08-04 Nicola Giuliani , Martin W. Hess , Antonio DeSimone , Gianluigi Rozza