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Many robotic systems deal with uncertainty by performing a sequence of information gathering actions. In this work, we focus on the problem of efficiently constructing such a sequence by drawing an explicit connection to submodularity.…

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

Optimal selection of a subset of items from a given set is a hard problem that requires combinatorial optimization. In this paper, we propose a subset selection algorithm that is trainable with gradient-based methods yet achieves…

Machine Learning · Computer Science 2018-10-31 Thomas Powers , Rasool Fakoor , Siamak Shakeri , Abhinav Sethy , Amanjit Kainth , Abdel-rahman Mohamed , Ruhi Sarikaya

We study a problem of optimal information gathering from multiple data providers that need to be incentivized to provide accurate information. This problem arises in many real world applications that rely on crowdsourced data sets, but…

Computer Science and Game Theory · Computer Science 2017-11-27 Goran Radanovic , Adish Singla , Andreas Krause , Boi Faltings

We study the problem of selecting a subset of vectors from a large set, to obtain the best signal representation over a family of functions. Although greedy methods have been widely used for tackling this problem and many of those have been…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Ehsan Tohidi , Mario Coutino , David Gesbert

We analyze greedy algorithms for the Hierarchical Aggregation (HAG) problem, a strategy introduced in [Jia et al., KDD 2020] for speeding up learning on Graph Neural Networks (GNNs). The idea of HAG is to identify and remove redundancies in…

Data Structures and Algorithms · Computer Science 2021-02-09 Alexandra Porter , Mary Wootters

We study the worst-case adaptive optimization problem with budget constraint that is useful for modeling various practical applications in artificial intelligence and machine learning. We investigate the near-optimality of greedy algorithms…

Artificial Intelligence · Computer Science 2017-05-24 Nguyen Viet Cuong , Huan Xu

In this paper, we study the problem of Team Member Replacement: given a team of people embedded in a social network working on the same task, find a good candidate who can fit in the team after one team member becomes unavailable. We…

Social and Information Networks · Computer Science 2014-09-22 Liangyue Li , Hanghang Tong , Nan Cao , Kate Ehrlich , Yu-Ru Lin , Norbou Buchler

Recommender systems are often biased toward popular items. In other words, few items are frequently recommended while the majority of items do not get proportionate attention. That leads to low coverage of items in recommendation lists…

Information Retrieval · Computer Science 2020-05-05 Masoud Mansoury , Himan Abdollahpouri , Mykola Pechenizkiy , Bamshad Mobasher , Robin Burke

We consider a problem of information structure design in team decision problems and team games. We propose simple, scalable greedy algorithms for adding a set of extra information links to optimize team performance and resilience to…

Optimization and Control · Mathematics 2017-06-20 Tyler Summers , Changyuan Li , Maryam Kamgarpour

Submodular functions are a broad class of set functions, which naturally arise in diverse areas. Many algorithms have been suggested for the maximization of these functions. Unfortunately, once the function deviates from submodularity, the…

Discrete Mathematics · Computer Science 2017-07-17 Lin Chen , Moran Feldman , Amin Karbasi

Submodular optimization plays a key role in many real-world problems. In many real-world scenarios, it is also necessary to handle uncertainty, and potentially disruptive events that violate constraints in stochastic settings need to be…

Machine Learning · Computer Science 2019-11-27 Benjamin Doerr , Carola Doerr , Aneta Neumann , Frank Neumann , Andrew M. Sutton

Many information systems use tags and keywords to describe and annotate content. These allow for efficient organization and categorization of items, as well as facilitate relevant search queries. As such, the selected set of tags for an…

Social and Information Networks · Computer Science 2016-05-20 Nir Rosenfeld , Amir Globerson

We analyze the performance of the greedy algorithm, and also a discrete semi-gradient based algorithm, for maximizing the sum of a suBmodular and suPermodular (BP) function (both of which are non-negative monotone non-decreasing) under two…

Discrete Mathematics · Computer Science 2018-01-24 Wenruo Bai , Jeffrey A. Bilmes

As a pivotal tool to alleviate the information overload problem, recommender systems aim to predict user's preferred items from millions of candidates by analyzing observed user-item relations. As for alleviating the sparsity and cold start…

Information Retrieval · Computer Science 2022-05-24 Yue Deng

Machine learning algorithms play an important role in a variety of important decision-making processes, including targeted advertisement displays, home loan approvals, and criminal behavior predictions. Given the far-reaching impact of…

Machine Learning · Computer Science 2023-04-14 Shaojie Tang , Jing Yuan

With the prevalence of social media, there has recently been a proliferation of recommenders that shift their focus from individual modeling to group recommendation. Since the group preference is a mixture of various predilections from…

Information Retrieval · Computer Science 2022-03-22 Junwei Zhang , Min Gao , Junliang Yu , Lei Guo , Jundong Li , Hongzhi Yin

This paper describes a simple greedy D-approximation algorithm for any covering problem whose objective function is submodular and non-decreasing, and whose feasible region can be expressed as the intersection of arbitrary (closed upwards)…

Data Structures and Algorithms · Computer Science 2015-06-02 Christos Koufogiannakis , Neal E. Young

Subset selection is a popular topic in recent years and a number of subset selection methods have been proposed. Among those methods, hypervolume subset selection is widely used. Greedy hypervolume subset selection algorithms can achieve…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Weiyu Chen , Hisao Ishibuhci , Ke Shang

Often times, in many design problems, there is a need to select a small set of informative or representative elements from a large ground set of entities in an optimal fashion. Submodular optimization that provides for a formal way to solve…

Machine Learning · Computer Science 2018-10-09 Arun V Sathanur