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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

Satisficing is a relaxation of maximizing and allows for less risky decision making in the face of uncertainty. We propose two sets of satisficing objectives for the multi-armed bandit problem, where the objective is to achieve reward-based…

Machine Learning · Computer Science 2016-12-20 Paul Reverdy , Vaibhav Srivastava , Naomi Ehrich Leonard

In online algorithm selection (OAS), instances of an algorithmic problem class are presented to an agent one after another, and the agent has to quickly select a presumably best algorithm from a fixed set of candidate algorithms. For…

Machine Learning · Computer Science 2021-09-15 Alexander Tornede , Viktor Bengs , Eyke Hüllermeier

Bayesian optimization (BO) is a widely-used sequential method for zeroth-order optimization of complex and expensive-to-compute black-box functions. The existing BO methods assume that the function evaluation (feedback) is available to the…

Machine Learning · Computer Science 2022-06-22 Arun Verma , Zhongxiang Dai , Bryan Kian Hsiang Low

We introduce the factored bandits model, which is a framework for learning with limited (bandit) feedback, where actions can be decomposed into a Cartesian product of atomic actions. Factored bandits incorporate rank-1 bandits as a special…

Machine Learning · Computer Science 2018-10-30 Julian Zimmert , Yevgeny Seldin

Recently, bandit optimization has received significant attention in real-world safety-critical systems that involve repeated interactions with humans. While there exist various algorithms with performance guarantees in the literature,…

Machine Learning · Computer Science 2023-11-13 Amirhossein Afsharrad , Ahmadreza Moradipari , Sanjay Lall

The bandit paradigm provides a unified modeling framework for problems that require decision-making under uncertainty. Because many business metrics can be viewed as rewards (a.k.a. utilities) that result from actions, bandit algorithms…

Machine Learning · Computer Science 2023-02-03 Bram van den Akker , Olivier Jeunen , Ying Li , Ben London , Zahra Nazari , Devesh Parekh

Many computer vision problems are formulated as the optimization of a cost function. This approach faces two main challenges: (i) designing a cost function with a local optimum at an acceptable solution, and (ii) developing an efficient…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Jayakorn Vongkulbhisal , Fernando De la Torre , João P. Costeira

Bayesian optimization (BO) developed as an approach for the efficient optimization of expensive black-box functions without gradient information. A typical BO paper introduces a new approach and compares it to some alternatives on simulated…

Computation · Statistics 2023-10-17 Jiajie Kong , Tony Pourmohamad , Herbert K. H. Lee

We study the algorithm configuration (AC) problem, in which one seeks to find an optimal parameter configuration of a given target algorithm in an automated way. Recently, there has been significant progress in designing AC approaches that…

Machine Learning · Computer Science 2022-12-02 Jasmin Brandt , Elias Schede , Viktor Bengs , Björn Haddenhorst , Eyke Hüllermeier , Kevin Tierney

Personalization is pervasive in the online space as it leads to higher efficiency and revenue by allowing the most relevant content to be served to each user. However, recent studies suggest that personalization methods can propagate…

Machine Learning · Computer Science 2018-02-26 L. Elisa Celis , Sayash Kapoor , Farnood Salehi , Nisheeth K. Vishnoi

Sequential decision problems are often approximately solvable by simulating possible future action sequences. Metalevel decision procedures have been developed for selecting which action sequences to simulate, based on estimating the…

Artificial Intelligence · Computer Science 2014-08-12 Nicholas Hay , Stuart Russell , David Tolpin , Solomon Eyal Shimony

In this paper, we consider the problem of sleeping bandits with stochastic action sets and adversarial rewards. In this setting, in contrast to most work in bandits, the actions may not be available at all times. For instance, some products…

Machine Learning · Computer Science 2020-08-11 Aadirupa Saha , Pierre Gaillard , Michal Valko

This work considers stochastic optimization problems in which the objective function values can only be computed by a blackbox corrupted by some random noise following an unknown distribution. The proposed method is based on sequential…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Jean Bigeon , Romain Couderc , Michael Kokkolaras

I study adversarial attacks against stochastic bandit algorithms. At each round, the learner chooses an arm, and a stochastic reward is generated. The adversary strategically adds corruption to the reward, and the learner is only able to…

Machine Learning · Computer Science 2024-03-18 Shiliang Zuo

We study the $K$-armed contextual dueling bandit problem, a sequential decision making setting in which the learner uses contextual information to make two decisions, but only observes \emph{preference-based feedback} suggesting that one…

Machine Learning · Computer Science 2021-11-25 Aadirupa Saha , Akshay Krishnamurthy

We derive a stochastic gradient algorithm for semidefinite optimization using randomization techniques. The algorithm uses subsampling to reduce the computational cost of each iteration and the subsampling ratio explicitly controls…

Optimization and Control · Mathematics 2011-08-30 Alexandre d'Aspremont

Multi-armed bandit problems are receiving a great deal of attention because they adequately formalize the exploration-exploitation trade-offs arising in several industrially relevant applications, such as online advertisement and, more…

Machine Learning · Computer Science 2013-11-05 Nicolò Cesa-Bianchi , Claudio Gentile , Giovanni Zappella

Decision-making problems of sequential nature, where decisions made in the past may have an impact on the future, are used to model many practically important applications. In some real-world applications, feedback about a decision is…

Machine Learning · Computer Science 2023-03-02 Ronald C. van den Broek , Rik Litjens , Tobias Sagis , Luc Siecker , Nina Verbeeke , Pratik Gajane

We introduce the model selection problem in pure exploration linear bandits, where the learner needs to adapt to the instance-dependent complexity measure of the smallest hypothesis class containing the true model. We design algorithms in…

Machine Learning · Statistics 2022-03-18 Yinglun Zhu , Julian Katz-Samuels , Robert Nowak
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