Results 21 to 30 of about 517 (178)
Submodular partition functions
Discrete Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amini, Omid +3 more
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Subquadratic submodular function minimization [PDF]
Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, 2017 Submodular function minimization (SFM) is a fundamental discrete optimization problem which generalizes many well known problems, has applications in various fields, and can be solved in polynomial time. Owing to applications in computer vision and machine learning, fast SFM algorithms are highly desirable. The current fastest algorithms [Lee, Sidford,
Deeparnab Chakrabarty +3 more
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Concave Aspects of Submodular Functions [PDF]
2020 IEEE International Symposium on Information Theory (ISIT), 2020 Submodular Functions are a special class of set functions, which generalize several information-theoretic quantities such as entropy and mutual information [1]. Submodular functions have subgradients and subdifferentials [2] and admit polynomial-time algorithms for minimization, both of which are fundamental characteristics of convex functions ...
Rishabh K. Iyer, Jeff A. Bilmes
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Submodular Functions are Noise Stable [PDF]
Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms, 2012 We show that all non-negative submodular functions have high {\em noise-stability}. As a consequence, we obtain a polynomial-time learning algorithm for this class with respect to any product distribution on $\{-1,1\}^n$ (for any constant accuracy parameter $ε$). Our algorithm also succeeds in the agnostic setting.
Mahdi Cheraghchi +3 more
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A new matroid constructed by the rank function of a matroid
AKCE International Journal of Graphs and Combinatorics, 2020 In this article, we construct a submodular function using the rank function of a matroid and study induced matroid with constructed polymatroid, then we relate some properties of connectivity of new matroid with the main matroid.
Moein Pourbaba +2 more
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Quantitative approximation by nonlinear Angheluta-Choquet singular integrals
Journal of Numerical Analysis and Approximation Theory, 2020 By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
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Mobility-Aware Traffic Offloading via Cooperative Coded Edge Caching
IEEE Access, 2020 With caching popular contents at the small-cell base stations (SBSs), cooperative edge caching has emerged as an effective approach to offload explosively increasing network traffic from a massive number of users in mobile edge networks (MENs).
Dewang Ren +3 more
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Toward Optimal Placement of Spatial Sensors to Detect Poisson-Distributed Targets
IEEE Access, 2023 This paper addresses the challenges of optimally placing a finite number of sensors to detect Poisson-distributed targets in a bounded domain. We seek to rigorously account for uncertainty in the target arrival model throughout the problem.
Mingyu Kim +5 more
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On the Reducibility of Submodular Functions
CoRR, 2016 The scalability of submodular optimization methods is critical for their usability in practice. In this paper, we study the reducibility of submodular functions, a property that enables us to reduce the solution space of submodular optimization problems without performance loss. We introduce the concept of reducibility using marginal gains.
Jincheng Mei, Hao Zhang, Bao-Liang Lu
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Mathematics, 2020 In this paper, we consider the single machine scheduling problem with release dates and nonmonotone submodular rejection penalty. We are given a single machine and multiple jobs with probably different release dates and processing times. For each job, it
Xiaofei Liu, Weidong Li
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