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The problem of column subset selection has recently attracted a large body of research, with feature selection serving as one obvious and important application. Among the techniques that have been applied to solve this problem, the greedy…

Data Structures and Algorithms · Computer Science 2021-11-16 Jason Altschuler , Aditya Bhaskara , Gang Fu , Vahab Mirrokni , Afshin Rostamizadeh , Morteza Zadimoghaddam

We present an analytical method for computing the mean cover time of a random walk process on arbitrary, complex networks. The cover time is defined as the time a random walker requires to visit every node in the network at least once. This…

Statistical Mechanics · Physics 2018-08-02 Benjamin F. Maier , Dirk Brockmann

We propose a new yet natural algorithm for learning the graph structure of general discrete graphical models (a.k.a. Markov random fields) from samples. Our algorithm finds the neighborhood of a node by sequentially adding nodes that…

Machine Learning · Statistics 2012-02-09 Praneeth Netrapalli , Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai

Temporal networks come with a wide variety of heterogeneities, from burstiness of event sequences to correlations between timings of node and link activations. In this paper, we set to explore the latter by using greedy walks as probes of…

Physics and Society · Physics 2016-01-20 Jari Saramaki , Petter Holme

In a standard NP-complete optimization problem we introduce an interpolating algorithm between the quick decrease along the gradient (greedy dynamics) and a slow decrease close to the level curves (reluctant dynamics). We find that for a…

Mathematical Physics · Physics 2007-05-23 P. Contucci , C. Giardina' , C. Giberti , F. Unguendoli , C. Vernia

Random walks can be used to search a complex networks for a desired resource. To reduce the number of hops necessary to find the resource, we propose a search mechanism based on building random walks connecting together partial walks that…

Networking and Internet Architecture · Computer Science 2013-04-19 Víctor López Millán , Vicent Cholvi , Luis López , Antonio Fernández Anta

We study the mean time for a random walk to traverse between two arbitrary sites of the Erdos-Renyi random graph. We develop an effective medium approximation that predicts that the mean first-passage time between pairs of nodes, as well as…

Statistical Mechanics · Physics 2009-11-10 V. Sood , S. Redner , D. ben-Avraham

Many robotic systems deal with uncertainty by performing a sequence of information gathering actions. In this work, we focus on the problem of efficiently constructing such a sequence by drawing an explicit connection to submodularity.…

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

Sampling random nodes is a fundamental algorithmic primitive in the analysis of massive networks, with many modern graph mining algorithms critically relying on it. We consider the task of generating a large collection of random nodes in…

Social and Information Networks · Computer Science 2021-10-27 Omri Ben-Eliezer , Talya Eden , Joel Oren , Dimitris Fotakis

An analytic effective medium theory is constructed to study the mean access times for random walks on hybrid disordered structures formed by embedding complex networks into regular lattices, considering transition rates $F$ that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Paul E. Parris , Julián Candia , V. M. Kenkre

We perform an in-depth study for mean first-passage time (MFPT)---a primary quantity for random walks with numerous applications---of maximal-entropy random walks (MERW) performed in complex networks. For MERW in a general network, we…

Statistical Mechanics · Physics 2014-06-17 Yuan Lin , Zhongzhi Zhang

We propose a greedy algorithm to select $N$ important features among $P$ input features for a non-linear prediction problem. The features are selected one by one sequentially, in an iterative loss minimization procedure. We use neural…

Machine Learning · Computer Science 2023-09-14 Sandipan Das , Alireza M. Javid , Prakash Borpatra Gohain , Yonina C. Eldar , Saikat Chatterjee

Random walks have wide application in real lives, ranging from target search, reaction kinetics, polymer chains, to the forecast of the arrive time of extreme events, diseases or opinions. In this paper, we consider discrete random walks on…

Probability · Mathematics 2020-01-22 Junhao Peng , Renxiang Shao , Huoyun Wang

The identification of vital nodes that maintain the network connectivity is a long-standing challenge in network science. In this paper, we propose a so-called reverse greedy method where the least important nodes are preferentially chosen…

Physics and Society · Physics 2019-07-03 Tao Ren , Zhe Li , Yi Qi , Yixin Zhang , Simiao Liu , Yanjie Xu , Tao Zhou

We consider the leader selection problem in a network with consensus dynamics where both leader and follower agents are subject to stochastic external disturbances. The performance of the system is quantified by the total steady-state…

Optimization and Control · Mathematics 2017-12-25 Erika Mackin , Stacy Patterson

The online weighted matching problem is a fundamental problem in machine learning due to its numerous applications. Despite many efforts in this area, existing algorithms are either too slow or don't take $\mathrm{deadline}$ (the longest…

Data Structures and Algorithms · Computer Science 2025-02-19 Zhao Song , Weixin Wang , Chenbo Yin , Junze Yin

For compressed sensing over arbitrarily connected networks, we consider the problem of estimating underlying sparse signals in a distributed manner. We introduce a new signal model that helps to describe inter-signal correlation among…

Information Theory · Computer Science 2013-10-29 Dennis Sundman , Saikat Chatterjee , Mikael Skoglund

Random walks are gaining much attention from the networks research community. They are the basis of many proposals aimed to solve a variety of network-related problems such as resource location, network construction, nodes sampling, etc.…

Disordered Systems and Neural Networks · Physics 2009-08-06 Luis Rodero-Merino , Antonio Fernandez Anta , Luis Lopez , Vicent Chovi

Active learning is increasingly adopted for expensive multi-objective combinatorial optimization problems, but it involves a challenging subset selection problem, optimizing the batch acquisition score that quantifies the goodness of a…

Machine Learning · Computer Science 2024-06-24 Deokjae Lee , Hyun Oh Song , Kyunghyun Cho