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We consider the problem of monotone, submodular maximization over a ground set of size $n$ subject to cardinality constraint $k$. For this problem, we introduce the first deterministic algorithms with linear time complexity; these…

Data Structures and Algorithms · Computer Science 2021-03-09 Alan Kuhnle

In this paper we study the extraction of representative elements in the data stream model in the form of submodular maximization. Different from the previous work on streaming submodular maximization, we are interested only in the recent…

Data Structures and Algorithms · Computer Science 2016-11-02 Jiecao Chen , Huy L. Nguyen , Qin Zhang

Sampling methods that choose a subset of the data proportional to its diversity in the feature space are popular for data summarization. However, recent studies have noted the occurrence of bias (under- or over-representation of a certain…

Machine Learning · Computer Science 2018-02-13 L. Elisa Celis , Vijay Keswani , Damian Straszak , Amit Deshpande , Tarun Kathuria , Nisheeth K. Vishnoi

We consider fairness in submodular maximization subject to a knapsack constraint, a fundamental problem with various applications in economics, machine learning, and data mining. In the model, we are given a set of ground elements, each…

Data Structures and Algorithms · Computer Science 2025-05-20 Lijun Li , Chenyang Xu , Liuyi Yang , Ruilong Zhang

Streaming feature selection techniques have become essential in processing real-time data streams, as they facilitate the identification of the most relevant attributes from continuously updating information. Despite their performance,…

Machine Learning · Computer Science 2024-06-21 Zhangling Duan , Tianci Li , Xingyu Wu , Zhaolong Ling , Jingye Yang , Zhaohong Jia

Consensus clustering seeks to combine multiple clusterings of the same dataset, potentially derived by considering various non-sensitive attributes by different agents in a multi-agent environment, into a single partitioning that best…

Machine Learning · Computer Science 2026-02-13 Diptarka Chakraborty , Kushagra Chatterjee , Debarati Das , Tien-Long Nguyen

A variety of large-scale machine learning problems can be cast as instances of constrained submodular maximization. Existing approaches for distributed submodular maximization have a critical drawback: The capacity - number of instances…

Machine Learning · Statistics 2016-06-01 Mario Lucic , Olivier Bachem , Morteza Zadimoghaddam , Andreas Krause

We study streaming algorithms for proportionally fair clustering, a notion originally suggested by Chierichetti et. al. (2017), in the sliding window model. We show that although there exist efficient streaming algorithms in the…

Data Structures and Algorithms · Computer Science 2025-03-10 Vincent Cohen-Addad , Shaofeng H. -C. Jiang , Qiaoyuan Yang , Yubo Zhang , Samson Zhou

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. Unfortunately, the resulting submodular optimization…

Machine Learning · Computer Science 2015-04-23 Rafael da Ponte Barbosa , Alina Ene , Huy L. Nguyen , Justin Ward

In this work, we present a combinatorial, deterministic single-pass streaming algorithm for the problem of maximizing a submodular function, not necessarily monotone, with respect to a cardinality constraint (SMCC). In the case the function…

Data Structures and Algorithms · Computer Science 2020-11-03 Alan Kuhnle

Data summarization has become a valuable tool in understanding even terabytes of data. Due to their compelling theoretical properties, submodular functions have been in the focus of summarization algorithms. These algorithms offer…

Machine Learning · Computer Science 2021-05-11 Sebastian Buschjäger , Philipp-Jan Honysz , Lukas Pfahler , Katharina Morik

We propose subsampling as a unified algorithmic technique for submodular maximization in centralized and online settings. The idea is simple: independently sample elements from the ground set, and use simple combinatorial techniques (such…

Data Structures and Algorithms · Computer Science 2021-04-08 Christopher Harshaw , Ehsan Kazemi , Moran Feldman , Amin Karbasi

Maximizing a single submodular set function subject to a cardinality constraint is a well-studied and central topic in combinatorial optimization. However, finding a set that maximizes multiple functions at the same time is much less…

Data Structures and Algorithms · Computer Science 2025-05-16 Fabian Spaeh , Atsushi Miyauchi

We propose the first adversarially robust algorithm for monotone submodular maximization under single and multiple knapsack constraints with scalable implementations in distributed and streaming settings. For a single knapsack constraint,…

Data Structures and Algorithms · Computer Science 2019-05-08 Dmitrii Avdiukhin , Slobodan Mitrović , Grigory Yaroslavtsev , Samson Zhou

Maximizing submodular functions have been studied extensively for a wide range of subset-selection problems. However, much less attention has been given to the role of submodularity in sequence-selection and ranking problems. A…

Data Structures and Algorithms · Computer Science 2023-01-18 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

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

We explore a novel problem in streaming submodular maximization, inspired by the dynamics of news-recommendation platforms. We consider a setting where users can visit a news website at any time, and upon each visit, the website must…

Data Structures and Algorithms · Computer Science 2026-01-19 Honglian Wang , Sijing Tu , Lutz Oettershagen , Aristides Gionis

As the amount of user-generated textual content grows rapidly, text summarization algorithms are increasingly being used to provide users a quick overview of the information content. Traditionally, summarization algorithms have been…

Information Retrieval · Computer Science 2019-09-04 Abhisek Dash , Anurag Shandilya , Arindam Biswas , Kripabandhu Ghosh , Saptarshi Ghosh , Abhijnan Chakraborty

Streaming algorithms are generally judged by the quality of their solution, memory footprint, and computational complexity. In this paper, we study the problem of maximizing a monotone submodular function in the streaming setting with a…

Machine Learning · Computer Science 2019-05-14 Ehsan Kazemi , Marko Mitrovic , Morteza Zadimoghaddam , Silvio Lattanzi , Amin Karbasi

Cardinality constrained submodular function maximization, which aims to select a subset of size at most $k$ to maximize a monotone submodular utility function, is the key in many data mining and machine learning applications such as data…

Data Structures and Algorithms · Computer Science 2018-11-15 Junzhou Zhao , Shuo Shang , Pinghui Wang , John C. S. Lui , Xiangliang Zhang