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Maximizing submodular functions has been increasingly used in many applications of machine learning, such as data summarization, recommendation systems, and feature selection. Moreover, there has been a growing interest in both submodular…

Data Structures and Algorithms · Computer Science 2023-11-08 Kiarash Banihashem , Leyla Biabani , Samira Goudarzi , MohammadTaghi Hajiaghayi , Peyman Jabbarzade , Morteza Monemizadeh

We study dynamic algorithms for the problem of maximizing a monotone submodular function over a stream of $n$ insertions and deletions. We show that any algorithm that maintains a $(0.5+\epsilon)$-approximate solution under a cardinality…

Data Structures and Algorithms · Computer Science 2022-04-19 Xi Chen , Binghui Peng

Maximizing monotone submodular functions under a matroid constraint is a classic algorithmic problem with multiple applications in data mining and machine learning. We study this classic problem in the fully dynamic setting, where elements…

Data Structures and Algorithms · Computer Science 2025-05-26 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Morteza Zadimoghaddam

Maximizing a monotone submodular function under cardinality constraint $k$ is a core problem in machine learning and database with many basic applications, including video and data summarization, recommendation systems, feature extraction,…

Data Structures and Algorithms · Computer Science 2023-05-25 Kiarash Banihashem , Leyla Biabani , Samira Goudarzi , MohammadTaghi Hajiaghayi , Peyman Jabbarzade , Morteza Monemizadeh

Submodular optimization generalizes many classic problems in combinatorial optimization and has recently found a wide range of applications in machine learning (e.g., feature engineering and active learning). For many large-scale…

Data Structures and Algorithms · Computer Science 2023-04-11 Matthew Fahrbach , Vahab Mirrokni , Morteza Zadimoghaddam

Submodular maximization is a general optimization problem with a wide range of applications in machine learning (e.g., active learning, clustering, and feature selection). In large-scale optimization, the parallel running time of an…

Data Structures and Algorithms · Computer Science 2023-04-11 Matthew Fahrbach , Vahab Mirrokni , Morteza Zadimoghaddam

The task of maximizing a monotone submodular function under a cardinality constraint is at the core of many machine learning and data mining applications, including data summarization, sparse regression and coverage problems. We study this…

Data Structures and Algorithms · Computer Science 2023-05-26 Silvio Lattanzi , Slobodan Mitrović , Ashkan Norouzi-Fard , Jakub Tarnawski , Morteza Zadimoghaddam

In this paper, we apply a Threshold-Decreasing Algorithm to maximize $k$-submodular functions under a matroid constraint, which reduces the query complexity of the algorithm compared to the greedy algorithm with little loss in approximation…

Data Structures and Algorithms · Computer Science 2023-07-27 Shuxian Niu , Qian Liu , Yang Zhou , Min Li

In this paper we describe a new algorithm called Fast Adaptive Sequencing Technique (FAST) for maximizing a monotone submodular function under a cardinality constraint $k$ whose approximation ratio is arbitrarily close to $1-1/e$, is…

Machine Learning · Computer Science 2019-07-16 Adam Breuer , Eric Balkanski , Yaron Singer

The problem of monotone submodular maximization has been studied extensively due to its wide range of applications. However, there are cases where one can only access the objective function in a distorted or noisy form because of the…

Data Structures and Algorithms · Computer Science 2022-10-24 Lingxiao Huang , Yuyi Wang , Chunxue Yang , Huanjian Zhou

For the problem of maximizing a monotone, submodular function with respect to a cardinality constraint $k$ on a ground set of size $n$, we provide an algorithm that achieves the state-of-the-art in both its empirical performance and its…

Data Structures and Algorithms · Computer Science 2024-08-20 Yixin Chen , Tonmoy Dey , Alan Kuhnle

In this paper we study submodular maximization under a matroid constraint in the adaptive complexity model. This model was recently introduced in the context of submodular optimization in [BS18a] to quantify the information theoretic…

Data Structures and Algorithms · Computer Science 2018-11-09 Eric Balkanski , Aviad Rubinstein , Yaron Singer

Symmetric submodular maximization is an important class of combinatorial optimization problems, including MAX-CUT on graphs and hyper-graphs. The state-of-the-art algorithm for the problem over general constraints has an approximation ratio…

Data Structures and Algorithms · Computer Science 2024-06-21 Zongqi Wan , Jialin Zhang , Xiaoming Sun , Zhijie Zhang

Non-monotone constrained submodular maximization plays a crucial role in various machine learning applications. However, existing algorithms often struggle with a trade-off between approximation guarantees and practical efficiency. The…

Machine Learning · Computer Science 2024-05-24 Murad Tukan , Loay Mualem , Moran Feldman

We consider the problem of maximizing the multilinear extension of a submodular function subject a single matroid constraint or multiple packing constraints with a small number of adaptive rounds of evaluation queries. We obtain the first…

Data Structures and Algorithms · Computer Science 2018-11-12 Alina Ene , Huy L. Nguyen , Adrian Vladu

Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hypergraphs, certain constraint satisfaction problems, maximum…

Computational Complexity · Computer Science 2009-02-03 Jon Lee , Vahab Mirrokni , Viswanath Nagarjan , Maxim Sviridenko

Submodular maximization is a classic algorithmic problem with multiple applications in data mining and machine learning; there, the growing need to deal with massive instances motivates the design of algorithms balancing the quality of the…

Data Structures and Algorithms · Computer Science 2024-02-20 Georgios Amanatidis , Federico Fusco , Philip Lazos , Stefano Leonardi , Alberto Marchetti Spaccamela , Rebecca Reiffenhäuser

Maximizing a submodular function is a fundamental task in machine learning and in this paper we study the deletion robust version of the problem under the classic matroids constraint. Here the goal is to extract a small size summary of the…

Data Structures and Algorithms · Computer Science 2025-05-26 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Morteza Zadimoghaddam

Submodular maximization has found extensive applications in various domains within the field of artificial intelligence, including but not limited to machine learning, computer vision, and natural language processing. With the increasing…

Data Structures and Algorithms · Computer Science 2024-12-04 Shuang Cui , Kai Han , Jing Tang , Xueying Li , Aakas Zhiyuli , Hanxiao Li

In this work, we study the classical problem of maximizing a submodular function subject to a matroid constraint. We develop deterministic algorithms that are very parsimonious with respect to querying the submodular function, for both the…

Data Structures and Algorithms · Computer Science 2024-08-29 Eric Balkanski , Steven DiSilvio , Alan Kuhnle , ChunLi Peng
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