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The enhanced competition paradigm is an attempt at bridging the gap between simple and optimal auctions. In this line of work, given an auction setting with $m$ items and $n$ bidders, the goal is to find the smallest $n' \geq n$ such that…

计算机科学与博弈论 · 计算机科学 2021-05-19 Linda Cai , Raghuvansh R. Saxena

We propose a novel method for sampling and optimization tasks based on a stochastic interacting particle system. We explain how this method can be used for the following two goals: (i) generating approximate samples from a given target…

动力系统 · 数学 2021-11-05 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

Core-selecting combinatorial auctions are popular auction designs that constrain prices to eliminate the incentive for any group of bidders -- with the seller -- to renegotiate for a better deal. They help overcome the low-revenue issues of…

计算机科学与博弈论 · 计算机科学 2025-05-21 Siddharth Prasad , Maria-Florina Balcan , Tuomas Sandholm

Designing an incentive compatible auction that maximizes expected revenue is an intricate task. The single-item case was resolved in a seminal piece of work by Myerson in 1981, but more than 40 years later a full analytical understanding of…

计算机科学与博弈论 · 计算机科学 2022-10-17 Paul Dütting , Zhe Feng , Harikrishna Narasimhan , David C. Parkes , Sai Srivatsa Ravindranath

This paper develops the theory of mechanism redesign by which an auctioneer can reoptimize an auction based on bid data collected from previous iterations of the auction on bidders from the same market. We give a direct method for…

计算机科学与博弈论 · 计算机科学 2022-02-15 Shuchi Chawla , Jason D. Hartline , Denis Nekipelov , Anant Shah

We consider the fundamental problem of designing a truthful single-item auction with the challenging objective of extracting a large fraction of the highest agent valuation as revenue. Following a recent trend in algorithm design, we assume…

计算机科学与博弈论 · 计算机科学 2024-01-25 Ioannis Caragiannis , Georgios Kalantzis

Auction theory traditionally assumes that bidders' valuation distributions are known to the auctioneer, such as in the celebrated, revenue-optimal Myerson auction. However, this theory does not describe how the auctioneer comes to possess…

计算机科学与博弈论 · 计算机科学 2014-07-11 Avrim Blum , Yishay Mansour , Jamie Morgenstern

In this paper we consider the problem of learning an $\epsilon$-optimal policy for a discounted Markov Decision Process (MDP). Given an MDP with $S$ states, $A$ actions, the discount factor $\gamma \in (0,1)$, and an approximation threshold…

机器学习 · 计算机科学 2020-12-25 Zihan Zhang , Yuan Zhou , Xiangyang Ji

When, in terms of the number of data points, the size of a dataset exceeds available computing resources, or when labeling is expensive, an attractive solution consists of selecting only some of the data points (subdata) for further…

统计方法学 · 统计学 2026-04-28 Min Yang , Wei Zheng , John Stufken , Ming-Chung Chang , Ting Tian , Xueqin Wang

We study an abstract optimal auction problem for a single good or service. This problem includes environments where agents have budgets, risk preferences, or multi-dimensional preferences over several possible configurations of the good…

计算机科学与博弈论 · 计算机科学 2012-03-23 Saeed Alaei , Hu Fu , Nima Haghpanah , Jason Hartline , Azarakhsh Malekian

Rejection sampling is a common tool for low dimensional problems ($d \leq 2$), often touted as an "easy" way to obtain valid samples from a distribution $f(\cdot)$ of interest. In practice it is non-trivial to apply, often requiring…

统计计算 · 统计学 2023-10-03 Edward Raff , Mark McLean , James Holt

Recent advances have significantly improved our understanding of the sample complexity of learning in average-reward Markov decision processes (AMDPs) under the generative model. However, much less is known about the constrained…

机器学习 · 计算机科学 2025-09-23 Yukuan Wei , Xudong Li , Lin F. Yang

In experimental design, we are given $n$ vectors in $d$ dimensions, and our goal is to select $k\ll n$ of them to perform expensive measurements, e.g., to obtain labels/responses, for a linear regression task. Many statistical criteria have…

机器学习 · 计算机科学 2019-06-11 Michał Dereziński , Feynman Liang , Michael W. Mahoney

We consider a feature-based personalized pricing problem in which the buyer is strategic: given the seller's pricing policy, the buyer can augment the features that they reveal to the seller to obtain a low price for the product. We model…

最优化与控制 · 数学 2024-08-19 Zhi Chen , Bradley Sturt , Weijun Xie

We study the power of price discrimination via an intermediary in bilateral trade, when there is a revenue-maximizing seller selling an item to a buyer with a private value drawn from a prior. Between the seller and the buyer, there is an…

计算机科学与博弈论 · 计算机科学 2023-04-28 Shao-Heng Ko , Kamesh Munagala

We revisit the range sampling problem: the input is a set of points where each point is associated with a real-valued weight. The goal is to store them in a structure such that given a query range and an integer $k$, we can extract $k$…

数据结构与算法 · 计算机科学 2019-03-20 Peyman Afshani , Jeff M. Phillips

In this work, we develop an importance sampling estimator by coupling the reduced-order model and the generative model in a problem setting of uncertainty quantification. The target is to estimate the probability that the quantity of…

机器学习 · 统计学 2024-12-20 Xiaoliang Wan , Shuangqing Wei

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

统计理论 · 数学 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

The literature on bandit learning and regret analysis has focused on contexts where the goal is to converge on an optimal action in a manner that limits exploration costs. One shortcoming imposed by this orientation is that it does not…

机器学习 · 计算机科学 2017-05-01 Daniel Russo , David Tse , Benjamin Van Roy

We study the tradeoff between sample complexity and round complexity in on-demand sampling, where the learning algorithm adaptively samples from $k$ distributions over a limited number of rounds. In the realizable setting of…

机器学习 · 计算机科学 2025-11-20 Nika Haghtalab , Omar Montasser , Mingda Qiao