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Sparsity learning with known grouping structure has received considerable attention due to wide modern applications in high-dimensional data analysis. Although advantages of using group information have been well-studied by shrinkage-based…

机器学习 · 统计学 2018-09-28 Wei Qian , Wending Li , Yasuhiro Sogawa , Ryohei Fujimaki , Xitong Yang , Ji Liu

Greedy Sampling Methods (GSMs) are widely used to construct approximate solutions of Configuration Optimization Problems (COPs), where a loss functional is minimized over finite configurations of points in a compact domain. While effective…

最优化与控制 · 数学 2026-01-09 Evie Nielen , Oliver Tse

This paper investigates a new learning formulation called structured sparsity, which is a natural extension of the standard sparsity concept in statistical learning and compressive sensing. By allowing arbitrary structures on the feature…

统计方法学 · 统计学 2009-05-05 Junzhou Huang , Tong Zhang , Dimitris Metaxas

Learning of low-rank matrices is fundamental to many machine learning applications. A state-of-the-art algorithm is the rank-one matrix pursuit (R1MP). However, it can only be used in matrix completion problems with the square loss. In this…

机器学习 · 计算机科学 2016-07-28 Quanming Yao , James T. Kwok

The problem of optimally placing sensors under a cost constraint arises naturally in the design of industrial and commercial products, as well as in scientific experiments. We consider a relaxation of the full optimization formulation of…

最优化与控制 · 数学 2018-05-11 Emily Clark , Travis Askham , Steven L. Brunton , J. Nathan Kutz

We study a logistic model-based active learning procedure for binary classification problems, in which we adopt a batch subject selection strategy with a modified sequential experimental design method. Moreover, accompanying the proposed…

机器学习 · 统计学 2018-02-02 Hsiang-Ling Hsu , Yuan-Chin Ivan Chang , Ray-Bing Chen

Combining kernel-based collocation methods with time-stepping methods to solve parabolic partial differential equations can potentially introduce challenges in balancing temporal and spatial discretization errors. Typically, using kernels…

数值分析 · 数学 2024-10-25 Yichen Su , Leevan Ling

Makespan minimization on identical machines is a fundamental problem in online scheduling. The goal is to assign a sequence of jobs to $m$ identical parallel machines so as to minimize the maximum completion time of any job. Already in the…

数据结构与算法 · 计算机科学 2021-10-28 Susanne Albers , Maximilian Janke

This work studies online scheduling algorithms for buffer management, develops new algorithms, and analyzes their performances. Packets arrive at a release time r, with a non-negative weight w and an integer deadline d. At each time step,…

数据结构与算法 · 计算机科学 2025-11-21 Nourhan Sakr , Cliff Stein

The paper gives a systematic study of the approximate versions of three greedy-type algorithms that are widely used in convex optimization. By approximate version we mean the one where some of evaluations are made with an error. Importance…

机器学习 · 统计学 2014-12-11 Vladimir Temlyakov

Recent work on exploration in reinforcement learning (RL) has led to a series of increasingly complex solutions to the problem. This increase in complexity often comes at the expense of generality. Recent empirical studies suggest that,…

机器学习 · 计算机科学 2020-06-03 Will Dabney , Georg Ostrovski , André Barreto

It is known that greedy methods perform well for maximizing monotone submodular functions. At the same time, such methods perform poorly in the face of non-monotonicity. In this paper, we show - arguably, surprisingly - that invoking the…

机器学习 · 计算机科学 2017-04-07 Moran Feldman , Christopher Harshaw , Amin Karbasi

The route planning problem based on the greedy algorithm represents a method of identifying the optimal or near-optimal route between a given start point and end point. In this paper, the PCA method is employed initially to downscale the…

人工智能 · 计算机科学 2024-10-23 Yiquan Wang

In the classic sequential testing problem, we are given a system with several components each of which fails with some independent probability. The goal is to identify whether or not some component has failed. When the test costs are…

数据结构与算法 · 计算机科学 2025-01-31 Blake Harris , Viswanath Nagarajan , Rayen Tan

We expand the item response theory to study the case of "cheating students" for a set of exams, trying to detect them by applying a greedy algorithm of inference. This extended model is closely related to the Boltzmann machine learning. In…

机器学习 · 统计学 2015-06-23 Shogo Yamanaka , Masayuki Ohzeki , Aurelien Decelle

The randomized group-greedy method and its customized method for large-scale sensor selection problems are proposed. The randomized greedy sensor selection algorithm is applied straightforwardly to the group-greedy method, and a customized…

信号处理 · 电气工程与系统科学 2023-03-27 Takayuki Nagata , Keigo Yamada , Kumi Nakai , Yuji Saito , Taku Nonomura

*The following abbreviates the abstract. Please refer to the thesis for the full abstract.* After a disaster, locating and extracting victims quickly is critical because mortality rises rapidly after the first two days. To assist search and…

机器人学 · 计算机科学 2021-02-09 Micah Corah

The maximization of submodular functions is an NP-Hard problem for certain subclasses of functions, for which a simple greedy algorithm has been shown to guarantee a solution whose quality is within 1/2 of the optimal. When this algorithm…

数据结构与算法 · 计算机科学 2019-01-11 David Grimsman , Mohd. Shabbir Ali , João P. Hespanha , Jason R. Marden

Optimal selection of a subset of items from a given set is a hard problem that requires combinatorial optimization. In this paper, we propose a subset selection algorithm that is trainable with gradient-based methods yet achieves…

Online learning algorithms, widely used to power search and content optimization on the web, must balance exploration and exploitation, potentially sacrificing the experience of current users in order to gain information that will lead to…

机器学习 · 计算机科学 2021-12-28 Manish Raghavan , Aleksandrs Slivkins , Jennifer Wortman Vaughan , Zhiwei Steven Wu