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As a popular form of knowledge and experience, patterns and their identification have been critical tasks in most data mining applications. However, as far as we are aware, no study has systematically examined the dynamics of pattern values…

Optimization and Control · Mathematics 2024-09-10 Huayan Zhang , Ruibin Bai , Tie-Yan Liu , Jiawei Li , Bingchen Lin , Jianfeng Ren

Combining query answering and data science workloads has become prevalent. An important class of such workloads is top-k queries with a scoring function implemented as an opaque UDF - a black box whose internal structure and scores on the…

Databases · Computer Science 2025-03-27 Jiwon Chang , Fatemeh Nargesian

This paper explores a theory of generalization for learning problems on product distributions, complementing the existing learning theories in the sense that it does not rely on any complexity measures of the hypothesis classes. The main…

Computer Science and Game Theory · Computer Science 2020-07-28 Chenghao Guo , Zhiyi Huang , Zhihao Gavin Tang , Xinzhi Zhang

We consider an assortment selection and pricing problem in which a seller has $N$ different items available for sale. In each round, the seller observes a $d$-dimensional contextual preference information vector for the user, and offers to…

Machine Learning · Computer Science 2025-03-18 Yigit Efe Erginbas , Thomas A. Courtade , Kannan Ramchandran

We investigate the role of inaccurate priors for the classical Pandora's box problem. In the classical Pandora's box problem we are given a set of boxes each with a known cost and an unknown value sampled from a known distribution. We…

Data Structures and Algorithms · Computer Science 2025-02-07 Kiarash Banihashem , Xiang Chen , MohammadTaghi Hajiaghayi , Sungchul Kim , Kanak Mahadik , Ryan Rossi , Tong Yu

In online combinatorial allocations/auctions, n bidders sequentially arrive, each with a combinatorial valuation (such as submodular/XOS) over subsets of m indivisible items. The aim is to immediately allocate a subset of the remaining…

Computer Science and Game Theory · Computer Science 2024-09-18 Paul Dütting , Thomas Kesselheim , Brendan Lucier , Rebecca Reiffenhäuser , Sahil Singla

In this paper, we study two classic optimization problems: minimum geometric dominating set and set cover. In the dominating-set problem, for a given set of objects in {the} plane as input, the objective is to choose a minimum number of…

Computational Geometry · Computer Science 2022-03-22 Minati De , Abhiruk Lahiri

Many problems in computer vision and recommender systems involve low-rank matrices. In this work, we study the problem of finding the maximum entry of a stochastic low-rank matrix from sequential observations. At each step, a learning agent…

Machine Learning · Computer Science 2017-12-14 Branislav Kveton , Csaba Szepesvari , Anup Rao , Zheng Wen , Yasin Abbasi-Yadkori , S. Muthukrishnan

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

Machine Learning · Computer Science 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

In this paper we examine problems motivated by on-line financial problems and stochastic games. In particular, we consider a sequence of entirely arbitrary distinct values arriving in random order, and must devise strategies for selecting…

Data Structures and Algorithms · Computer Science 2007-05-23 Ming-Yang Kao , Stephen R. Tate

Existing approaches to resource allocation for nowadays stochastic networks are challenged to meet fast convergence and tolerable delay requirements. The present paper leverages online learning advances to facilitate stochastic resource…

Optimization and Control · Mathematics 2017-05-24 Tianyi Chen , Aryan Mokhtari , Xin Wang , Alejandro Ribeiro , Georgios B. Giannakis

We consider a class of assortment optimization problems in an offline data-driven setting. A firm does not know the underlying customer choice model but has access to an offline dataset consisting of the historically offered assortment set,…

Machine Learning · Computer Science 2023-02-09 Juncheng Dong , Weibin Mo , Zhengling Qi , Cong Shi , Ethan X. Fang , Vahid Tarokh

Internet search companies sell advertisement slots based on users' search queries via an auction. Advertisers have to determine how to place bids on the keywords of their interest in order to maximize their return for a given budget: this…

Data Structures and Algorithms · Computer Science 2007-09-24 S. Muthukrishnan , Martin Pal , Zoya Svitkina

This paper studies the Best-of-K Bandit game: At each time the player chooses a subset S among all N-choose-K possible options and observes reward max(X(i) : i in S) where X is a random vector drawn from a joint distribution. The objective…

Machine Learning · Computer Science 2016-03-22 Max Simchowitz , Kevin Jamieson , Benjamin Recht

Algorithm selection is typically based on models of algorithm performance, learned during a separate offline training sequence, which can be prohibitively expensive. In recent work, we adopted an online approach, in which a performance…

Artificial Intelligence · Computer Science 2013-01-31 Matteo Gagliolo , Juergen Schmidhuber

Semantic embeddings to represent objects such as image, text and audio are widely used in machine learning and have spurred the development of vector similarity search methods for retrieving semantically related objects. In this work, we…

Data Structures and Algorithms · Computer Science 2026-01-21 Stephen Mussmann , Mehul Smriti Raje , Kavya Tumkur , Oumayma Messoussi , Cyprien Hachem , Seby Jacob

Online allocation is a broad class of problems where items arriving online have to be allocated to agents who have a fixed utility/cost for each assigned item so to maximize/minimize some objective. This framework captures a broad range of…

Computer Science and Game Theory · Computer Science 2023-05-31 Ilan Reuven Cohen , Debmalya Panigrahi

In this paper, we study the minimum dominating set (MDS) problem and the minimum total dominating set MTDS) problem which have many applications in real world. We propose a new idea to compute approximate MDS and MTDS. Next, we give an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-16 Sharareh Alipour , Mohammadhadi Salari

The knapsack problem is one of the classical problems in combinatorial optimization: Given a set of items, each specified by its size and profit, the goal is to find a maximum profit packing into a knapsack of bounded capacity. In the…

Data Structures and Algorithms · Computer Science 2020-12-02 Susanne Albers , Arindam Khan , Leon Ladewig

Smooth functions on graphs have wide applications in manifold and semi-supervised learning. In this work, we study a bandit problem where the payoffs of arms are smooth on a graph. This framework is suitable for solving online learning…

Machine Learning · Statistics 2026-04-29 Tomáš Kocák , Rémi Munos , Branislav Kveton , Shipra Agrawal , Michal Valko
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