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This paper considers a discrete-time decision problem wherein a decision maker has to track, on average, a sequence of inputs selected from a convex set $\mathcal X \subset \mathbb{R}^d$ by choosing actions from a possibly non-convex…

Optimization and Control · Mathematics 2018-11-20 Andrey Bernstein , Niek J. Bouman

We study a fundamental problem in Bayesian learning, where the goal is to select a set of data sources with minimum cost while achieving a certain learning performance based on the data streams provided by the selected data sources. First,…

Machine Learning · Computer Science 2021-05-04 Lintao Ye , Aritra Mitra , Shreyas Sundaram

The problem of the distributed recovery of jointly sparse signals has attracted much attention recently. Let us assume that the nodes of a network observe different sparse signals with common support; starting from linear, compressed…

Optimization and Control · Mathematics 2016-11-15 Sophie M. Fosson , Javier Matamoros , Carles Anton-Haro , Enrico Magli

The randomized subspace Newton convex methods for the sensor selection problem are proposed. The randomized subspace Newton algorithm is straightforwardly applied to the convex formulation, and the customized method in which the part of the…

Systems and Control · Electrical Eng. & Systems 2021-05-03 Taku Nonomura , Shunsuke Ono , Kumi Nakai , Yuji Saito

Subset selection, which aims to select a subset from a ground set to maximize some objective function, arises in various applications such as influence maximization and sensor placement. In real-world scenarios, however, one often needs to…

Neural and Evolutionary Computing · Computer Science 2022-05-10 Chao Bian , Yawen Zhou , Chao Qian

We propose a Greedy strategy to solve the problem of Graph Cut, called GGC. It starts from the state where each data sample is regarded as a cluster and dynamically merges the two clusters which reduces the value of the global objective…

Machine Learning · Computer Science 2024-12-31 Feiping Nie , Shenfei Pei , Zengwei Zheng , Rong Wang , Xuelong Li

Centrality measures characterize important nodes in networks. Efficiently computing such nodes has received a lot of attention. When considering the generalization of computing central groups of nodes, challenging optimization problems…

Data Structures and Algorithms · Computer Science 2020-10-30 Eugenio Angriman , Ruben Becker , Gianlorenzo D'Angelo , Hugo Gilbert , Alexander van der Grinten , Henning Meyerhenke

This paper defines a generalized column subset selection problem which is concerned with the selection of a few columns from a source matrix A that best approximate the span of a target matrix B. The paper then proposes a fast greedy…

Data Structures and Algorithms · Computer Science 2013-12-25 Ahmed K. Farahat , Ali Ghodsi , Mohamed S. Kamel

Submodular optimization is a special class of combinatorial optimization arising in several machine learning problems, but also in cooperative control of complex systems. In this paper, we consider agents in an asynchronous, unreliable and…

Systems and Control · Computer Science 2018-12-17 Andrea Testa , Ivano Notarnicola , Giuseppe Notarstefano

In this paper, we present the Monte-Carlo Compressive Optimization algorithm, a new method to solve a combinatorial optimization problem that is assumed compressible. The method relies on random queries to the objective function in order to…

Optimization and Control · Mathematics 2025-10-30 Baptiste Chevalier , Shimpei Yamaguchi , Wojciech Roga , Masahiro Takeoka

The purpose of this article is to examine the greedy adaptive measurement policy in the context of a linear Guassian measurement model with an optimization criterion based on information gain. In the special case of sequential scalar…

Information Theory · Computer Science 2012-08-20 Entao Liu , Edwin K. P. Chong , Louis L. Scharf

A vector-measurement-sensor problem for the least squares estimation is considered, by extending a previous novel approach in this paper. An extension of the vector-measurement-sensor selection of the greedy algorithm is proposed and is…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Yuji Saito , Taku Nonomura , Koki Nankai , Keigo Yamada , Keisuke Asai , Yasuo Sasaki , Daisuke Tsubakino

In this article, we discuss a novel greedy algorithm for the recovery of compressive sampled signals under noisy conditions. Most of the greedy recovery algorithms proposed in the literature require sparsity of the signal to be known or…

Information Theory · Computer Science 2014-12-18 V. Meena , G. Abhilash

Given a linear dynamical system affected by stochastic noise, we consider the problem of selecting an optimal set of sensors (at design-time) to minimize the trace of the steady state a priori or a posteriori error covariance of the Kalman…

Optimization and Control · Mathematics 2020-07-13 Lintao Ye , Nathaniel Woodford , Sandip Roy , Shreyas Sundaram

We study the problem of sampling and reconstructing spectrally sparse graph signals where the objective is to select a subset of nodes of prespecified cardinality that ensures interpolation of the original signal with the lowest possible…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Abolfazl Hashemi , Rasoul Shafipour , Haris Vikalo , Gonzalo Mateos

We empirically analyze a simple heuristic for large sparse set cover problems. It uses the weighted greedy algorithm as a basic building block. By multiplicative updates of the weights attached to the elements, the greedy solution is…

Data Structures and Algorithms · Computer Science 2020-10-30 Marc Alexa

We study the maximum capture problem in facility location under random utility models, i.e., the problem of seeking to locate new facilities in a competitive market such that the captured user demand is maximized, assuming that each…

Optimization and Control · Mathematics 2022-03-29 Tien Thanh Dam , Thuy Anh Ta , Tien Mai

Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

We show how combinatorial optimisation algorithms can be applied to the problem of identifying c-optimal experimental designs when there may be correlation between and within experimental units and evaluate the performance of relevant…

Computation · Statistics 2023-02-24 Samuel I Watson , Yi Pan

Sampling is a fundamental topic in graph signal processing, having found applications in estimation, clustering, and video compression. In contrast to traditional signal processing, the irregularity of the signal domain makes selecting a…

Information Theory · Computer Science 2018-02-14 Luiz F. O. Chamon , Alejandro Ribeiro
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