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Many problems in machine learning can be solved by rounding the solution of an appropriate linear program (LP). This paper shows that we can recover solutions of comparable quality by rounding an approximate LP solution instead of the ex-…

Numerical Analysis · Computer Science 2013-11-19 Srikrishna Sridhar , Victor Bittorf , Ji Liu , Ce Zhang , Christopher Ré , Stephen J. Wright

We study the pricing query complexity of revenue maximization for a single buyer whose private valuation is drawn from an unknown distribution. In this setting, the seller must learn the optimal monopoly price by posting prices and…

Computer Science and Game Theory · Computer Science 2026-02-12 Wei Tang , Yifan Wang , Mengxiao Zhang

We examine the complexity of computing welfare- and revenue-maximizing equilibria in autobidding second-price auctions subject to return-on-spend (RoS) constraints. We show that computing an autobidding equilibrium that approximates the…

Computer Science and Game Theory · Computer Science 2026-02-11 Ioannis Anagnostides , Ian Gemp , Georgios Piliouras , Kelly Spendlove

The Joint Replenishment Problem (JRP) is a fundamental optimization problem in supply-chain management, concerned with optimizing the flow of goods from a supplier to retailers. Over time, in response to demands at the retailers, the…

Data Structures and Algorithms · Computer Science 2015-12-04 Marcin Bienkowski , Jaroslaw Byrka , Marek Chrobak , Neil Dobbs , Tomasz Nowicki , Maxim Sviridenko , Grzegorz Swirszcz , Neal E. Young

We study the problem of data selling for Retrieval Augmented Generation (RAG) tasks in Generative AI applications. We model each buyer's valuation of a dataset with a natural coverage-based valuation function that increases with the…

Computer Science and Game Theory · Computer Science 2025-10-29 Minbiao Han , Seyed A. Esmaeili , Michael Albert , Haifeng Xu

The display advertising industry has recently transitioned from second- to first-price auctions as its primary mechanism for ad allocation and pricing. In light of this, publishers need to re-evaluate and optimize their auction parameters,…

Computer Science and Game Theory · Computer Science 2020-06-30 Zhe Feng , Sébastien Lahaie , Jon Schneider , Jinchao Ye

Setting an effective reserve price for strategic bidders in repeated auctions is a central question in online advertising. In this paper, we investigate how to set an anonymous reserve price in repeated auctions based on historical bids in…

Computer Science and Game Theory · Computer Science 2021-07-13 Zhe Feng , Sébastien Lahaie

We study the Maximum Budgeted Allocation problem, which is the problem of assigning indivisible items to players with budget constraints. In its most general form, an instance of the MBA problem might include many different prices for the…

Data Structures and Algorithms · Computer Science 2015-12-01 Christos Kalaitzis

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

Data Structures and Algorithms · Computer Science 2021-04-20 Xiaocheng Li , Yinyu Ye

We consider a recently introduced fair repetitive scheduling problem involving a set of clients, each asking for their associated job to be daily scheduled on a single machine across a finite planning horizon. The goal is to determine a job…

Data Structures and Algorithms · Computer Science 2026-01-01 Danny Hermelin , Danny Segev , Dvir Shabtay

In this paper, we study the non-stationary online second price auction problem. We assume that the seller is selling the same type of items in $T$ rounds by the second price auction, and she can set the reserve price in each round. In each…

Machine Learning · Computer Science 2019-11-15 Haoyu Zhao , Wei Chen

We study a setting where agents use no-regret learning algorithms to participate in repeated auctions. \citet{kolumbus2022auctions} showed, rather surprisingly, that when bidders participate in second-price auctions using no-regret bidding…

Computer Science and Game Theory · Computer Science 2024-11-15 Gagan Aggarwal , Anupam Gupta , Andres Perlroth , Grigoris Velegkas

Unlike Business-to-Consumer e-commerce platforms (e.g., Amazon), inexperienced individual sellers on Consumer-to-Consumer platforms (e.g., eBay) often face significant challenges in setting prices for their second-hand products efficiently.…

Computation and Language · Computer Science 2025-10-13 Hairu Wang , Sheng You , Qiheng Zhang , Xike Xie , Shuguang Han , Yuchen Wu , Fei Huang , Jufeng Chen

The Matching Augmentation Problem (MAP) has recently received significant attention as an important step towards better approximation algorithms for finding cheap $2$-edge connected subgraphs. This has culminated in a…

Data Structures and Algorithms · Computer Science 2022-08-25 Etienne Bamas , Marina Drygala , Ola Svensson

We study differentially private approximation algorithms for positive linear programs (LPs with nonnegative coefficients and variables), focusing on the fundamental families of packing, covering, and mixed packing-covering formulations. We…

Data Structures and Algorithms · Computer Science 2026-05-28 Alina Ene , Huy Le Nguyen , Ta Duy Nguyen , Adrian Vladu

In this work, we study spectrum auction problem where each request from secondary users has spatial, temporal, and spectral features. With the requests of secondary users and the reserve price of the primary user, our goal is to design…

Networking and Internet Architecture · Computer Science 2013-05-29 Yu-e Sun , He Huang , Xiang-Yang Li , Zhili Chen , Wei Yang , Hongli Xu , Liusheng Huang

We show that the max entropy algorithm is a randomized 1.49776 approximation for half-integral TSP, improving upon the previous known bound of 1.49993 from Karlin et al. This also improves upon the best-known approximation for half-integral…

Data Structures and Algorithms · Computer Science 2025-07-25 Nathan Klein , Mehrshad Taziki

Approximate linear programming (ALP) is an efficient approach to solving large factored Markov decision processes (MDPs). The main idea of the method is to approximate the optimal value function by a set of basis functions and optimize…

Artificial Intelligence · Computer Science 2012-06-18 Branislav Kveton , Milos Hauskrecht

We study reserve prices in auctions with independent private values when bidders are expectations-based loss averse. We find that the optimal public reserve price excludes fewer bidder types than under risk neutrality. Moreover, we show…

Theoretical Economics · Economics 2023-06-16 Benjamin Balzer , Antonio Rosato

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