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Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

Discrete Mathematics · Computer Science 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana

Simultaneous operation of all sensors in a large-scale sensor network is power-consuming and computationally expensive. Hence, it is desirable to select fewer sensors. A greedy algorithm is widely used for sensor selection in homogeneous…

Signal Processing · Electrical Eng. & Systems 2024-05-24 Kaushani Majumder , SibiRaj B. Pillai , Satish Mulleti

We study the problem of optimal traffic prediction and monitoring in large-scale networks. Our goal is to determine which subset of K links to monitor in order to "best" predict the traffic on the remaining links in the network. We consider…

Data Structures and Algorithms · Computer Science 2013-12-04 Michael Kallitsis , Stilian Stoev , George Michailidis

We analyze greedy algorithms for the Hierarchical Aggregation (HAG) problem, a strategy introduced in [Jia et al., KDD 2020] for speeding up learning on Graph Neural Networks (GNNs). The idea of HAG is to identify and remove redundancies in…

Data Structures and Algorithms · Computer Science 2021-02-09 Alexandra Porter , Mary Wootters

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

Finding the optimal embedding of networks into low-dimensional hyperbolic spaces is a challenge that received considerable interest in recent years, with several different approaches proposed in the literature. In general, these methods…

Physics and Society · Physics 2024-01-08 Bendegúz Sulyok , Gergely Palla

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…

Signal Processing · Electrical Eng. & Systems 2023-03-27 Takayuki Nagata , Keigo Yamada , Kumi Nakai , Yuji Saito , Taku Nonomura

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

In this paper, we propose the greedy and random Broyden's method for solving nonlinear equations. Specifically, the greedy method greedily selects the direction to maximize a certain measure of progress for approximating the current…

Numerical Analysis · Mathematics 2021-10-19 Haishan Ye , Dachao Lin , Zhihua Zhang

In this paper, we propose a general framework for the asymptotic analysis of node-based verification-based algorithms. In our analysis we tend the signal length $n$ to infinity. We also let the number of non-zero elements of the signal $k$…

Information Theory · Computer Science 2010-01-14 Yaser Eftekhari , Amir H. Banihashemi , Ioannis Lambadaris

Network inference algorithms are valuable tools for the study of large-scale neuroimaging datasets. Multivariate transfer entropy is well suited for this task, being a model-free measure that captures nonlinear and lagged dependencies…

Neurons and Cognition · Quantitative Biology 2019-07-31 Leonardo Novelli , Patricia Wollstadt , Pedro Mediano , Michael Wibral , Joseph T. Lizier

Given the proximity of many wireless users and their diversity in consuming local resources (e.g., data-plans, computation and even energy resources), device-to-device (D2D) resource sharing is a promising approach towards realizing a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-02 Shuqin Gao , Costas Courcoubetis , Lingjie Duan

Assuming that data are collected sequentially from independent streams, we consider the simultaneous testing of multiple binary hypotheses under two general setups; when the number of signals (correct alternatives) is known in advance, and…

Statistics Theory · Mathematics 2017-02-14 Yanglei Song , Georgios Fellouris

In this paper we present a greedy algorithm for solving the problem of the maximum partitioning of graphs with supply and demand (MPGSD). The goal of the method is to solve the MPGSD for large graphs in a reasonable time limit. This is done…

Artificial Intelligence · Computer Science 2015-07-31 Raka Jovanovic , Abdelkader Bousselham , Stefan Voss

We consider parametrized linear-quadratic optimal control problems and provide their online-efficient solutions by combining greedy reduced basis methods and machine learning algorithms. To this end, we first extend the greedy control…

Optimization and Control · Mathematics 2023-07-31 Hendrik Kleikamp , Martin Lazar , Cesare Molinari

We present an information-theoretic framework for sequential adaptive compressed sensing, Info-Greedy Sensing, where measurements are chosen to maximize the extracted information conditioned on the previous measurements. We show that the…

Information Theory · Computer Science 2023-07-19 Gabor Braun , Sebastian Pokutta , Yao Xie

This paper introduces a quasi-likelihood ratio testing procedure for diffusion processes observed under nonsynchronous sampling schemes. High-frequency data, particularly in financial econometrics, are often recorded at irregular time…

Statistics Theory · Mathematics 2025-03-25 Teppei Ogihara , Futo Ueno

In this study, a nondominated-solution-based multi-objective greedy method is proposed and applied to a sensor selection problem based on the multiple indices of the optimal design of experiments. The proposed method simultaneously…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Kumi Nakai , Yasuo Sasaki , Takayuki Nagata , Keigo Yamada , Yuji Saito , Taku Nonomura

This work analyzes the asymptotic performances of fully distributed sequential hypothesis testing procedures as the type-I and type-II error rates approach zero, in the context of a sensor network without a fusion center. In particular, the…

Applications · Statistics 2018-04-17 Shang Li , Xiaodong Wang

Motivated by sequential budgeted allocation problems, we investigate online matching problems where connections between vertices are not i.i.d., but they have fixed degree distributions -- the so-called configuration model. We estimate the…

Data Structures and Algorithms · Computer Science 2021-07-05 Nathan Noiry , Flore Sentenac , Vianney Perchet