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Related papers: Distributed Submodular Maximization

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In this paper, we study the non-monotone adaptive submodular maximization problem subject to a cardinality constraint. We first revisit the adaptive random greedy algorithm proposed in \citep{gotovos2015non}, where they show that this…

Machine Learning · Computer Science 2020-12-16 Shaojie Tang

Several high-throughput distributed data-processing applications require multi-hop processing of streams of data. These applications include continual processing on data streams originating from a network of sensors, composing a multimedia…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-26 Shah Asaduzzaman , Muthucumaru Maheswaran

Robust Optimization is becoming increasingly important in machine learning applications. This paper studies the problem of robust submodular minimization subject to combinatorial constraints. Constrained Submodular Minimization arises in…

Machine Learning · Computer Science 2020-01-28 Rishabh Iyer

Migration presents sweeping societal challenges that have recently attracted significant attention from the scientific community. One of the prominent approaches that have been suggested employs optimization and machine learning to match…

Computer Science and Game Theory · Computer Science 2019-11-20 Paul Gölz , Ariel D. Procaccia

The submodular function maximization is an attractive optimization model that appears in many real applications. Although a variety of greedy algorithms quickly find good feasible solutions for many instances while guaranteeing…

Data Structures and Algorithms · Computer Science 2018-11-13 Naoya Uematsu , Shunji Umetani , Yoshinobu Kawahara

We consider a class of submodular maximization problems in which decision-makers have limited access to the objective function. We explore scenarios where the decision-maker can observe only pairwise information, i.e., can evaluate the…

Data Structures and Algorithms · Computer Science 2022-02-09 Andrew Downie , Bahman Gharesifard , Stephen L. Smith

We connect high-dimensional subset selection and submodular maximization. Our results extend the work of Das and Kempe (2011) from the setting of linear regression to arbitrary objective functions. For greedy feature selection, this…

Machine Learning · Statistics 2017-10-13 Ethan R. Elenberg , Rajiv Khanna , Alexandros G. Dimakis , Sahand Negahban

Constrained $k$-submodular maximization is a general framework that captures many discrete optimization problems such as ad allocation, influence maximization, personalized recommendation, and many others. In many of these applications,…

Data Structures and Algorithms · Computer Science 2023-05-26 Fabian Spaeh , Alina Ene , Huy L. Nguyen

Malleable scheduling is a model that captures the possibility of parallelization to expedite the completion of time-critical tasks. A malleable job can be allocated and processed simultaneously on multiple machines, occupying the same time…

Discrete Mathematics · Computer Science 2022-03-29 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

We consider robust submodular maximization problems (RSMs), where given a set of $m$ monotone submodular objective functions, the robustness is with respect to the worst-case (scaled) objective function. The model we consider generalizes…

Optimization and Control · Mathematics 2023-06-12 Hsin-Yi Huang , Hao-Hsiang Wu , Simge Kucukyavuz

This paper addresses the problem of sequential submodular maximization: selecting and ranking items in a sequence to optimize some composite submodular function. In contrast to most of the previous works, which assume access to the utility…

Machine Learning · Computer Science 2024-09-10 Jing Yuan , Shaojie Tang

We study the problem of maximizing a monotone submodular set function subject to linear packing constraints. An instance of this problem consists of a matrix $A \in [0,1]^{m \times n}$, a vector $b \in [1,\infty)^m$, and a monotone…

Data Structures and Algorithms · Computer Science 2012-05-01 Yossi Azar , Iftah Gamzu

Submodularity is an important concept in integer and combinatorial optimization. A classical submodular set function models the utility of selecting homogenous items from a single ground set, and such selections can be represented by binary…

Optimization and Control · Mathematics 2023-04-06 Simge Küçükyavuz , Qimeng Yu

Continuous submodular functions are a category of generally non-convex/non-concave functions with a wide spectrum of applications. The celebrated property of this class of functions - continuous submodularity - enables both exact…

Machine Learning · Computer Science 2020-06-25 Yatao Bian , Joachim M. Buhmann , Andreas Krause

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

Submodular function maximization has been studied extensively in recent years under various constraints and models. The problem plays a major role in various disciplines. We study a natural online variant of this problem in which elements…

Data Structures and Algorithms · Computer Science 2015-01-26 Niv Buchbinder , Moran Feldman , Roy Schwartz

In this paper we consider parallelization for applications whose objective can be expressed as maximizing a non-monotone submodular function under a cardinality constraint. Our main result is an algorithm whose approximation is arbitrarily…

Data Structures and Algorithms · Computer Science 2018-07-31 Eric Balkanski , Adam Breuer , Yaron Singer

We study a stochastic variant of monotone submodular maximization problem as follows. We are given a monotone submodular function as an objective function and a feasible domain defined on a finite set, and our goal is to find a feasible…

Data Structures and Algorithms · Computer Science 2020-06-29 Takanori Maehara , Yutaro Yamaguchi

In this paper we deal with a network of computing agents with local processing and neighboring communication capabilities that aim at solving (without any central unit) a submodular optimization problem. The cost function is the sum of many…

Optimization and Control · Mathematics 2020-05-26 Andrea Testa , Francesco Farina , Giuseppe Notarstefano

In this paper, we develop the first one-pass streaming algorithm for submodular maximization that does not evaluate the entire stream even once. By carefully subsampling each element of data stream, our algorithm enjoys the tightest…

Machine Learning · Computer Science 2018-02-21 Moran Feldman , Amin Karbasi , Ehsan Kazemi
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