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In a multiobjective optimization problem a solution is called Pareto-optimal if no criterion can be improved without deteriorating at least one of the other criteria. Computing the set of all Pareto-optimal solutions is a common task in…

Data Structures and Algorithms · Computer Science 2020-10-22 Heiko Röglin

A platform commits to a search algorithm that maps prices to search order. Given this algorithm, sellers set prices, and consumers engage in sequential search. This framework generalizes the ordered search literature. We introduce a special…

Theoretical Economics · Economics 2025-03-06 Xiaoyu Chen , Jingmin Huang , Yibo Lian

We initiate the systematic study of decision-theoretic metrics in the design and analysis of algorithms with machine-learned predictions. We introduce approaches based on both deterministic measures such as distance-based evaluation, that…

Data Structures and Algorithms · Computer Science 2025-09-16 Spyros Angelopoulos , Christoph Dürr , Georgii Melidi

In display advertising, a small group of sellers and bidders face each other in up to 10 12 auctions a day. In this context, revenue maximisation via monopoly price learning is a high-value problem for sellers. By nature, these auctions are…

Machine Learning · Computer Science 2020-10-21 Lorenzo Croissant , Marc Abeille , Clément Calauzènes

Learning to bid in repeated first-price auctions is a fundamental problem at the interface of game theory and machine learning, which has seen a recent surge in interest due to the transition of display advertising to first-price auctions.…

Computer Science and Game Theory · Computer Science 2024-07-09 Rachitesh Kumar , Jon Schneider , Balasubramanian Sivan

We consider a seller faced with buyers which have the ability to delay their decision, which we call patience. Each buyer's type is composed of value and patience, and it is sampled i.i.d. from a distribution. The seller, using posted…

Computer Science and Game Theory · Computer Science 2022-06-28 Eitan-Hai Mashiah , Idan Attias , Yishay Mansour

First-price auctions have largely replaced traditional bidding approaches based on Vickrey auctions in programmatic advertising. As far as learning is concerned, first-price auctions are more challenging because the optimal bidding strategy…

Machine Learning · Computer Science 2021-11-23 Juliette Achddou , Olivier Cappé , Aurélien Garivier

We present a general framework for stochastic online maximization problems with combinatorial feasibility constraints. The framework establishes prophet inequalities by constructing price-based online approximation algorithms, a natural…

Computer Science and Game Theory · Computer Science 2017-07-11 Paul Dütting , Michal Feldman , Thomas Kesselheim , Brendan Lucier

Learning-augmented algorithms -- in which, traditional algorithms are augmented with machine-learned predictions -- have emerged as a framework to go beyond worst-case analysis. The overarching goal is to design algorithms that perform…

Data Structures and Algorithms · Computer Science 2022-02-10 Sungjin Im , Ravi Kumar , Aditya Petety , Manish Purohit

We study generalizations of online bipartite matching in which each arriving vertex (customer) views a ranked list of offline vertices (products) and matches to (purchases) the first one they deem acceptable. The number of products that the…

Data Structures and Algorithms · Computer Science 2023-06-27 Brian Brubach , Nathaniel Grammel , Will Ma , Aravind Srinivasan

Buying and selling of data online has increased substantially over the last few years. Several frameworks have already been proposed that study query pricing in theory and practice. The key guiding principle in these works is the notion of…

Databases · Computer Science 2019-09-10 Shuchi Chawla , Shaleen Deep , Paraschos Koutris , Yifeng Teng

We study the secure stochastic convex optimization problem. A learner aims to learn the optimal point of a convex function through sequentially querying a (stochastic) gradient oracle. In the meantime, there exists an adversary who aims to…

Machine Learning · Computer Science 2021-04-06 Wei Tang , Chien-Ju Ho , Yang Liu

The problem of online matching with stochastic rewards is a generalization of the online bipartite matching problem where each edge has a probability of success. When a match is made it succeeds with the probability of the corresponding…

Data Structures and Algorithms · Computer Science 2022-05-12 Vineet Goyal , Rajan Udwani

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

Computer Science and Game Theory · Computer Science 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

Motivated by Internet advertising applications, online allocation problems have been studied extensively in various adversarial and stochastic models. While the adversarial arrival models are too pessimistic, many of the stochastic (such as…

Data Structures and Algorithms · Computer Science 2017-11-17 Hossein Esfandiari , Nitish Korula , Vahab Mirrokni

This paper presents the first convergence result for random search algorithms to a subset of the Pareto set of given maximum size k with bounds on the approximation quality. The core of the algorithm is a new selection criterion based on a…

Optimization and Control · Mathematics 2011-11-10 Marco Laumanns

We examine the problem of smoothed online optimization, where a decision maker must sequentially choose points in a normed vector space to minimize the sum of per-round, non-convex hitting costs and the costs of switching decisions between…

Machine Learning · Computer Science 2022-10-28 Daan Rutten , Nico Christianson , Debankur Mukherjee , Adam Wierman

Inspired by online ad allocation, we study online stochastic packing linear programs from theoretical and practical standpoints. We first present a near-optimal online algorithm for a general class of packing linear programs which model…

Data Structures and Algorithms · Computer Science 2010-02-17 Jon Feldman , Monika Henzinger , Nitish Korula , Vahab S. Mirrokni , Cliff Stein

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

We introduce a novel theoretical framework for Return On Investment (ROI) maximization in repeated decision-making. Our setting is motivated by the use case of companies that regularly receive proposals for technological innovations and…

Machine Learning · Computer Science 2021-12-24 Nicolò Cesa-Bianchi , Tommaso Cesari , Yishay Mansour , Vianney Perchet