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Stochastic optimization is one of the central problems in Machine Learning and Theoretical Computer Science. In the standard model, the algorithm is given a fixed distribution known in advance. In practice though, one may acquire at a cost…

Data Structures and Algorithms · Computer Science 2023-06-07 Mingchen Ma , Christos Tzamos

Submodular function optimization has numerous applications in machine learning and data analysis, including data summarization which aims to identify a concise and diverse set of data points from a large dataset. It is important to…

Data Structures and Algorithms · Computer Science 2023-04-11 Shaojie Tang , Jing Yuan , Twumasi Mensah-Boateng

In this paper, we focus on applications in machine learning, optimization, and control that call for the resilient selection of a few elements, e.g. features, sensors, or leaders, against a number of adversarial denial-of-service attacks or…

Optimization and Control · Mathematics 2017-11-01 Vasileios Tzoumas , Konstantinos Gatsis , Ali Jadbabaie , George J. Pappas

Submodular maximization problems belong to the family of combinatorial optimization problems and enjoy wide applications. In this paper, we focus on the problem of maximizing a monotone submodular function subject to a $d$-knapsack…

Machine Learning · Computer Science 2016-07-06 Qilian Yu , Easton Li Xu , Shuguang Cui

In this work, we study online submodular maximization, and how the requirement of maintaining a stable solution impacts the approximation. In particular, we seek bounds on the best-possible approximation ratio that is attainable when the…

Data Structures and Algorithms · Computer Science 2024-12-04 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Ola Svensson , Morteza Zadimoghaddam

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

Optimization and Control · Mathematics 2021-08-02 Navid Rezazadeh , Solmaz S. Kia

In this paper, we study a fundamental problem in submodular optimization, which is called sequential submodular maximization. Specifically, we aim to select and rank a group of $k$ items from a ground set $V$ such that the weighted…

Machine Learning · Computer Science 2023-12-13 Shaojie Tang , Jing Yuan

Submodular optimization has numerous applications such as crowdsourcing and viral marketing. In this paper, we study the fundamental problem of non-negative submodular function maximization subject to a $k$-system constraint, which…

Data Structures and Algorithms · Computer Science 2021-06-16 Kai Han , Shuang Cui , Tianshuai Zhu , Jing Tang , Benwei Wu , He Huang

In online learning, the data is provided in a sequential order, and the goal of the learner is to make online decisions to minimize overall regrets. This note is concerned with continuous-time models and algorithms for several online…

Machine Learning · Statistics 2024-05-20 Lexing Ying

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

Conventional methods for query autocompletion aim to predict which completed query a user will select from a list. A shortcoming of this approach is that users often do not know which query will provide the best retrieval performance on the…

Information Retrieval · Computer Science 2022-04-26 Adam Block , Rahul Kidambi , Daniel N. Hill , Thorsten Joachims , Inderjit S. Dhillon

Solving stochastic optimization problems under partial observability, where one needs to adaptively make decisions with uncertain outcomes, is a fundamental but notoriously difficult challenge. In this paper, we introduce the concept of…

Machine Learning · Computer Science 2017-12-07 Daniel Golovin , Andreas Krause

We consider the problem of optimal budget allocation for crowdsourcing problems, allocating users to tasks to maximize our final confidence in the crowdsourced answers. Such an optimized worker assignment method allows us to boost the…

Machine Learning · Computer Science 2017-02-28 Angela Zhou , Irineo Cabreros , Karan Singh

Online recommendation and advertising are two major income channels for online recommendation platforms (e.g. e-commerce and news feed site). However, most platforms optimize recommending and advertising strategies by different teams…

Information Retrieval · Computer Science 2020-06-22 Xiangyu Zhao , Xudong Zheng , Xiwang Yang , Xiaobing Liu , Jiliang Tang

We study monotone submodular maximization under general matroid constraints in the online setting. We prove that online optimization of a large class of submodular functions, namely, weighted threshold potential functions, reduces to online…

Machine Learning · Computer Science 2024-01-09 Tareq Si Salem , Gözde Özcan , Iasonas Nikolaou , Evimaria Terzi , Stratis Ioannidis

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

Online advertising in E-commerce platforms provides sellers an opportunity to achieve potential audiences with different target goals. Ad serving systems (like display and search advertising systems) that assign ads to pages should satisfy…

Machine Learning · Computer Science 2019-10-09 Chao Wei , Weiru Zhang , Shengjie Sun , Fei Li , Xiaonan Meng , Yi Hu , Hao Wang

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

Submodular functions are an important class of functions in combinatorial optimization which satisfy the natural properties of decreasing marginal costs. The study of these functions has led to strong structural properties with applications…

Multiagent Systems · Computer Science 2009-11-13 Gagan Goel , Pushkar Tripathi , Lei Wang

Online optimization problems arise in many resource allocation tasks, where the future demands for each resource and the associated utility functions change over time and are not known apriori, yet resources need to be allocated at every…

Optimization and Control · Mathematics 2015-02-06 Reza Eghbali , Jon Swenson , Maryam Fazel