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Given a set of $n$ elements separated by a pairwise distance matrix, the minimum differential dispersion problem (Min-Diff DP) aims to identify a subset of m elements (m < n) such that the difference between the maximum sum and the minimum…

离散数学 · 计算机科学 2016-08-16 Yangming Zhou , Jin-Kao Hao

This work focuses on wideband intelligent reflecting surface (IRS)-aided multiuser MIMO systems. One of the major challenges of this scenario is the joint design of the frequency-dependent base station (BS) precoder and user filters, and…

Mobile-edge computing (MEC) is expected to provide low-latency computation service for wireless devices (WDs). However, when WDs are located at cell edge or communication links between base stations (BSs) and WDs are blocked, the offloading…

信息论 · 计算机科学 2022-06-10 Nana Li , Wanming Hao , Fuhui Zhou , Shouyi Yang , Naofal Al-Dhahir

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization and cardinality regularized optimization as special cases. This paper proposes…

最优化与控制 · 数学 2016-12-08 Ganzhao Yuan , Wei-Shi Zheng , Bernard Ghanem

The Majorization-Minimization (MM) framework is widely used to derive efficient algorithms for specific problems that require the optimization of a cost function (which can be convex or not). It is based on a sequential optimization of a…

最优化与控制 · 数学 2024-05-07 Carlos Alejandro Lopez , Jaume Riba

In this paper, we propose a general class of algorithms for optimizing an extensive variety of nonsmoothly penalized objective functions that satisfy certain regularity conditions. The proposed framework utilizes the…

统计计算 · 统计学 2011-01-24 Elizabeth D. Schifano , Robert L. Strawderman , Martin T. Wells

We present a simple distributed $\Delta$-approximation algorithm for maximum weight independent set (MaxIS) in the $\mathsf{CONGEST}$ model which completes in $O(\texttt{MIS}(G)\cdot \log W)$ rounds, where $\Delta$ is the maximum degree,…

分布式、并行与集群计算 · 计算机科学 2017-08-02 Reuven Bar-Yehuda , Keren Censor-Hillel , Mohsen Ghaffari , Gregory Schwartzman

We introduce Multi-Iteration Stochastic Optimizers, a novel class of first-order stochastic methods that control the relative $L^2$ error using successive control variates along the iteration path. By exploiting correlations between…

最优化与控制 · 数学 2026-05-28 Andre Carlon , Luis Espath , Rafael Lopez , Raul Tempone

A framework based on iterative coordinate minimization (CM) is developed for stochastic convex optimization. Given that exact coordinate minimization is impossible due to the unknown stochastic nature of the objective function, the crux of…

机器学习 · 统计学 2020-03-13 Sudeep Salgia , Qing Zhao , Sattar Vakili

We study two fundamental optimization problems: (1) scaling a symmetric positive definite matrix by a positive diagonal matrix so that the resulting matrix has row and column sums equal to 1; and (2) minimizing a quadratic function subject…

数据结构与算法 · 计算机科学 2025-04-30 Adrian Vladu

Min-Hash is a popular technique for efficiently estimating the Jaccard similarity of binary sets. Consistent Weighted Sampling (CWS) generalizes the Min-Hash scheme to sketch weighted sets and has drawn increasing interest from the…

数据结构与算法 · 计算机科学 2017-06-06 Wei Wu , Bin Li , Ling Chen , Chengqi Zhang , Philip S. Yu

Recently, it has been shown that approximations to marginal posterior distributions obtained using a low discrepancy sequence (LDS) can outperform standard grid-based methods with respect to both accuracy and computational efficiency. This…

统计计算 · 统计学 2019-12-05 Paul T. Brown , Chaitanya Joshi , Stephen Joe , Haavard Rue

In this paper, we propose two novel modulation concepts based on a simple maximum distance separable (MDS) code { and show that these concepts can achieve better error performance than index modulation (IM) and related schemes.} In the…

信号处理 · 电气工程与系统科学 2021-08-11 Ferhat Yarkin , Justin P. Coon

Weighted sum-rate (WSR) maximization plays a critical role in communication system design. This paper examines three optimization methods for WSR maximization, which ensure convergence to stationary points: two block coordinate ascent (BCA)…

信号处理 · 电气工程与系统科学 2023-11-09 Zepeng Zhang , Ziping Zhao , Kaiming Shen , Daniel P. Palomar , Wei Yu

Accompanied with the rising popularity of compressed sensing, the Alternating Direction Method of Multipliers (ADMM) has become the most widely used solver for linearly constrained convex problems with separable objectives. In this work, we…

数值分析 · 计算机科学 2016-07-12 Canyi Lu , Jiashi Feng , Shuicheng Yan , Zhouchen Lin

Influence Maximization (IM) is a pivotal concept in social network analysis, involving the identification of influential nodes within a network to maximize the number of influenced nodes, and has a wide variety of applications that range…

社会与信息网络 · 计算机科学 2025-09-10 Matteo Bergamaschi , Sara Venturini , Francesco Tudisco , Francesco Rinaldi

Invariant Coordinate Selection (ICS) is a multivariate data transformation and a dimension reduction method that can be useful in many different contexts. It can be used for outlier detection or cluster identification, and can be seen as an…

统计计算 · 统计学 2023-08-15 Aurore Archimbaud , Zlatko Drmač , Klaus Nordhausen , Una Radojičić , Anne Ruiz-Gazen

In this paper, we propose a majorization-minimization (MM) algorithm for high-dimensional fused lasso regression (FLR) suitable for parallelization using graphics processing units (GPUs). The MM algorithm is stable and flexible as it can…

统计方法学 · 统计学 2013-12-17 Donghyeon Yu , Joong-Ho Won , Taehoon Lee , Johan Lim , Sungroh Yoon

The EM algorithm is a special case of a more general algorithm called the MM algorithm. Specific MM algorithms often have nothing to do with missing data. The first M step of an MM algorithm creates a surrogate function that is optimized in…

统计方法学 · 统计学 2011-04-13 Tong Tong Wu , Kenneth Lange

We propose a new majorization-minimization (MM) method for non-smooth and non-convex programs, which is general enough to include the existing MM methods. Besides the local majorization condition, we only require that the difference between…

最优化与控制 · 数学 2015-11-26 Chen Xu , Zhouchen Lin , Zhenyu Zhao , Hongbin Zha