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This article provides a comprehensive exploration of submodular maximization problems, focusing on those subject to uniform and partition matroids. Crucial for a wide array of applications in fields ranging from computer science to systems…

Data Structures and Algorithms · Computer Science 2025-01-03 Solmaz S. Kia

Multimodal learning considers learning from multi-modality data, aiming to fuse heterogeneous sources of information. However, it is not always feasible to leverage all available modalities due to memory constraints. Further, training on…

Machine Learning · Computer Science 2022-10-25 Runxiang Cheng , Gargi Balasubramaniam , Yifei He , Yao-Hung Hubert Tsai , Han Zhao

A major problem in data augmentation is to ensure that the generated new samples cover the search space. This is a challenging problem and requires exploration for data augmentation policies to ensure their effectiveness in covering the…

Machine Learning · Computer Science 2020-10-08 Alireza Naghizadeh , Mohammadsajad Abavisani , Dimitris N. Metaxas

Many problems in Machine Learning can be modeled as submodular optimization problems. Recent work has focused on stochastic or adaptive versions of these problems. We consider the Scenario Submodular Cover problem, which is a counterpart to…

Data Structures and Algorithms · Computer Science 2016-03-11 Nathaniel Grammel , Lisa Hellerstein , Devorah Kletenik , Patrick Lin

We address the problem of efficient and unobstructed surveillance or communication in complex environments. On one hand, one wishes to use a minimal number of sensors to cover the environment. On the other hand, it is often important to…

Machine Learning · Computer Science 2023-09-18 Lukas Taus , Yen-Hsi Richard Tsai

We consider the problem of selecting an optimal subset of information sources for a hypothesis testing/classification task where the goal is to identify the true state of the world from a finite set of hypotheses, based on finite…

Machine Learning · Statistics 2024-07-01 Jayanth Bhargav , Mahsa Ghasemi , Shreyas Sundaram

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

Submodular maximization has been widely studied over the past decades, mostly because of its numerous applications in real-world problems. It is well known that the standard greedy algorithm guarantees a worst-case approximation factor of…

Data Structures and Algorithms · Computer Science 2020-02-12 Alfredo Torrico , Mohit Singh , Sebastian Pokutta

A $k$-submodular function is a generalization of the submodular set function. Many practical applications can be modeled as maximizing a $k$-submodular function, such as multi-cooperative games, sensor placement with $k$ type sensors,…

Combinatorics · Mathematics 2023-12-13 Hongyang Zhang , Wenchang Luo

Motivated by modern applications such as computerized adaptive testing, sequential rank aggregation, and heterogeneous data source selection, we study the problem of active sequential estimation, which involves adaptively selecting…

Statistics Theory · Mathematics 2024-02-14 Xiaoou Li , Hongru Zhao

Weak submodularity is a natural relaxation of the diminishing return property, which is equivalent to submodularity. Weak submodularity has been used to show that many (monotone) functions that arise in practice can be efficiently maximized…

Data Structures and Algorithms · Computer Science 2020-09-24 Richard Santiago , Yuichi Yoshida

Subset selection tasks, arise in recommendation systems and search engines and ask to select a subset of items that maximize the value for the user. The values of subsets often display diminishing returns, and hence, submodular functions…

Machine Learning · Computer Science 2023-05-05 Anay Mehrotra , Nisheeth K. Vishnoi

In model selection problems for machine learning, the desire for a well-performing model with meaningful structure is typically expressed through a regularized optimization problem. In many scenarios, however, the meaningful structure is…

Optimization and Control · Mathematics 2022-11-09 Jonathan Bunton , Paulo Tabuada

Deep networks have produced significant gains for various visual recognition problems, leading to high impact academic and commercial applications. Recent work in deep networks highlighted that it is easy to generate images that humans…

Computer Vision and Pattern Recognition · Computer Science 2015-11-20 Abhijit Bendale , Terrance Boult

Social media data are often modeled as heterogeneous graphs with multiple types of nodes and edges. We present a discovery algorithm that first chooses a "background" graph based on a user's analytical interest and then automatically…

Social and Information Networks · Computer Science 2021-04-23 Subhasis Dasgupta , Amarnath Gupta

We consider the problem of maximizing non-negative non-decreasing set functions. Although most of the recent work focus on exploiting submodularity, it turns out that several objectives we encounter in practice are not submodular.…

Data Structures and Algorithms · Computer Science 2018-06-19 Gaurav Gupta , Sergio Pequito , Paul Bogdan

We provide theoretical bounds on the worst case performance of the greedy algorithm in seeking to maximize a normalized, monotone, but not necessarily submodular objective function under a simple partition matroid constraint. We also…

Systems and Control · Electrical Eng. & Systems 2022-10-19 Benjamin Biggs , James McMahon , Philip Baldoni , Daniel J. Stilwell

Finding diverse solutions to optimization problems has been of practical interest for several decades, and recently enjoyed increasing attention in research. While submodular optimization has been rigorously studied in many fields, its…

Data Structures and Algorithms · Computer Science 2023-07-18 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

We consider active learning under incentive compatibility constraints. The main application of our results is to economic experiments, in which a learner seeks to infer the parameters of a subject's preferences: for example their attitudes…

Computer Science and Game Theory · Computer Science 2019-11-15 Federico Echenique , Siddharth Prasad

Submodular functions are discrete functions that model laws of diminishing returns and enjoy numerous algorithmic applications. They have been used in many areas, including combinatorial optimization, machine learning, and economics. In…

Data Structures and Algorithms · Computer Science 2012-08-24 Maria-Florina Balcan , Nicholas J. A. Harvey
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