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In this paper, we settle the problem of learning optimal linear contracts from data in the offline setting, where agent types are drawn from an unknown distribution and the principal's goal is to design a contract that maximizes her…

Computer Science and Game Theory · Computer Science 2026-05-28 Mikael Møller Høgsgaard

We study the revenue maximization problem of a seller with n heterogeneous items for sale to a single buyer whose valuation function for sets of items is unknown and drawn from some distribution D. We show that if D is a distribution over…

Computer Science and Game Theory · Computer Science 2018-07-05 Aviad Rubinstein , S. Matthew Weinberg

We initiate the study of a quantity that we call coordination complexity. In a distributed optimization problem, the information defining a problem instance is distributed among $n$ parties, who need to each choose an action, which jointly…

Data Structures and Algorithms · Computer Science 2016-01-06 Rachel Cummings , Katrina Ligett , Jaikumar Radhakrishnan , Aaron Roth , Zhiwei Steven Wu

We examine information structure design, also called "persuasion" or "signaling", in the presence of a constraint on the amount of communication. We focus on the fundamental setting of bilateral trade, which in its simplest form involves a…

Computer Science and Game Theory · Computer Science 2020-03-09 Shaddin Dughmi , David Kempe , Ruixin Qiang

Regularization, whether explicit in terms of a penalty in the loss or implicit in the choice of algorithm, is a cornerstone of modern machine learning. Indeed, controlling the complexity of the model class is particularly important when…

Machine Learning · Statistics 2024-10-22 Matteo Vilucchio , Nikolaos Tsilivis , Bruno Loureiro , Julia Kempe

Combinatorial Auctions are a central problem in Algorithmic Mechanism Design: pricing and allocating goods to buyers with complex preferences in order to maximize some desired objective (e.g., social welfare, revenue, or profit). The…

Computer Science and Game Theory · Computer Science 2015-03-19 Avrim Blum , Anupam Gupta , Yishay Mansour , Ankit Sharma

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

The stochastic multi-armed bandit model is a simple abstraction that has proven useful in many different contexts in statistics and machine learning. Whereas the achievable limit in terms of regret minimization is now well known, our aim is…

Machine Learning · Statistics 2016-11-15 Emilie Kaufmann , Olivier Cappé , Aurélien Garivier

We study a type of reverse (procurement) auction problems in the presence of budget constraints. The general algorithmic problem is to purchase a set of resources, which come at a cost, so as not to exceed a given budget and at the same…

Computer Science and Game Theory · Computer Science 2016-10-05 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

We consider two canonical Bayesian mechanism design settings. In the single-item setting, we prove tight approximation ratio for anonymous pricing: compared with Myerson Auction, it extracts at least $\frac{1}{2.62}$-fraction of revenue;…

Computer Science and Game Theory · Computer Science 2018-11-05 Yaonan Jin , Pinyan Lu , Qi Qi , Zhihao Gavin Tang , Tao Xiao

We obtain a tight distribution-specific characterization of the sample complexity of large-margin classification with L2 regularization: We introduce the margin-adapted dimension, which is a simple function of the second order statistics of…

Machine Learning · Statistics 2013-09-19 Sivan Sabato , Nathan Srebro , Naftali Tishby

To solve a real-world problem, the modeler usually needs to make a trade-off between model complexity and usefulness. This is also true for robust optimization, where a wide range of models for uncertainty, so-called uncertainty sets, have…

Optimization and Control · Mathematics 2019-01-14 Francis Garuba , Marc Goerigk , Peter Jacko

This paper discusses the revenue management (RM) problem to maximize revenue by pricing items or services. One challenge in this problem is that the demand distribution is unknown and varies over time in real applications such as airline…

Machine Learning · Computer Science 2024-05-09 Kazuma Shimizu , Junya Honda , Shinji Ito , Shinji Nakadai

We obtain distribution-free bounds for various fundamental quantities used in probability theory by solving optimization problems that search for extreme distributions among all distributions with the same mean and dispersion. These…

Optimization and Control · Mathematics 2024-09-27 Pieter Kleer , Johan S. H. van Leeuwaarden , Bas Verseveldt

We consider the problem of selling perishable items to a stream of buyers in order to maximize social welfare. A seller starts with a set of identical items, and each arriving buyer wants any one item, and has a valuation drawn i.i.d. from…

Computer Science and Game Theory · Computer Science 2020-01-23 Reza Alijani , Siddhartha Banerjee , Sreenivas Gollapudi , Kamesh Munagala , Kangning Wang

We study the communication complexity of linear algebraic problems over finite fields in the multi-player message passing model, proving a number of tight lower bounds. Specifically, for a matrix which is distributed among a number of…

Computational Complexity · Computer Science 2014-07-18 Yi Li , Xiaoming Sun , Chengu Wang , David P. Woodruff

This paper introduces a novel contextual bandit algorithm for personalized pricing under utility fairness constraints in scenarios with uncertain demand, achieving an optimal regret upper bound. Our approach, which incorporates dynamic…

Machine Learning · Statistics 2023-11-29 Xi Chen , David Simchi-Levi , Yining Wang

We study an online learning problem on dynamic pricing and resource allocation, where we make joint pricing and inventory decisions to maximize the overall net profit. We consider the stochastic dependence of demands on the price, which…

Machine Learning · Computer Science 2025-05-23 Jianyu Xu , Xuan Wang , Yu-Xiang Wang , Jiashuo Jiang

We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

Machine Learning · Computer Science 2025-11-11 Peilin Yang , Yu Ma

We investigate revenue guarantees for auction mechanisms in a model where a distribution is specified for each bidder, but only some of the distributions are correct. The subset of bidders whose distribution is correctly specified…

Computer Science and Game Theory · Computer Science 2020-07-22 Makis Arsenis , Odysseas Drosis , Robert Kleinberg
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