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We present a deep learning solution to address the challenges of simulating realistic synthetic first-price sealed-bid auction data. The complexities encountered in this type of auction data include high-cardinality discrete feature spaces…

General Economics · Economics 2024-11-13 Igor Sadoune , Andrea Lodi , Marcelin Joanis

In this paper, we study a retailer price optimization problem which includes the practical constraints: maximum number of price changes and minimum amount of price change (if a change is recommended). We provide a closed-form formula for…

Optimization and Control · Mathematics 2021-04-21 Xiaojie Wang , Hsin-Chan Huang , Lanshan Han , Alvin Lim

Consider a database of $n$ people, each represented by a bit-string of length $d$ corresponding to the setting of $d$ binary attributes. A $k$-way marginal query is specified by a subset $S$ of $k$ attributes, and a $|S|$-dimensional binary…

Data Structures and Algorithms · Computer Science 2013-08-07 Cynthia Dwork , Aleksandar Nikolov , Kunal Talwar

Motivated by Carbon Emissions Trading Schemes, Treasury Auctions, Procurement Auctions, and Wholesale Electricity Markets, which all involve the auctioning of homogeneous multiple units, we consider the problem of learning how to bid in…

Computer Science and Game Theory · Computer Science 2024-11-12 Rigel Galgana , Negin Golrezaei

Matching problems under uncertainty arise in applications such as kidney exchange, hiring, and online marketplaces. A decision-maker must sequentially explore potential matches under local exploration constraints, while committing…

Data Structures and Algorithms · Computer Science 2026-03-17 Mahsa Derakhshan , Andisheh Ghasemi , Calum MacRury

We consider the P2P orienteering problem on general metrics and present a (2+{\epsilon}) approximation algorithm. In the stochastic P2P orienteering problem we are given a metric and each node has a fixed reward and random size. The goal is…

Data Structures and Algorithms · Computer Science 2015-01-27 Shalabh Vidyarthi , Kaushal K Shukla

We study the problem of differentially private optimization with linear constraints when the right-hand-side of the constraints depends on private data. This type of problem appears in many applications, especially resource allocation.…

Machine Learning · Computer Science 2020-11-05 Andrés Muñoz Medina , Umar Syed , Sergei Vassilvitskii , Ellen Vitercik

A digital goods auction is a type of auction where potential buyers bid the maximal price that they are willing to pay for a certain item, which a seller can produce at a negligible cost and in unlimited quantity. To maximise her benefits,…

Information Theory · Computer Science 2020-09-22 Patrick Ah-Fat , Michael Huth

Since the elimination algorithm of Fourier and Motzkin, many different methods have been developed for solving linear programs. When analyzing the time complexity of LP algorithms, it is typically either assumed that calculations are…

Optimization and Control · Mathematics 2020-01-01 Ambros Gleixner , Daniel E. Steffy

We consider approximation algorithms for covering integer programs of the form min $\langle c, x \rangle $ over $x \in \mathbb{N}^n $ subject to $A x \geq b $ and $x \leq d$; where $A \in \mathbb{R}_{\geq 0}^{m \times n}$, $b \in…

Data Structures and Algorithms · Computer Science 2018-11-20 Chandra Chekuri , Kent Quanrud

Automated bidding to optimize online advertising with various constraints, e.g. ROI constraints and budget constraints, is widely adopted by advertisers. A key challenge lies in designing algorithms for non-truthful mechanisms with ROI…

Computer Science and Game Theory · Computer Science 2025-10-21 Yuan Deng , Yilin Li , Wei Tang , Hanrui Zhang

Motivated by pricing in ad exchange markets, we consider the problem of robust learning of reserve prices against strategic buyers in repeated contextual second-price auctions. Buyers' valuations for an item depend on the context that…

Machine Learning · Computer Science 2020-02-27 Negin Golrezaei , Adel Javanmard , Vahab Mirrokni

Reinforcement Learning algorithms that learn from human feedback (RLHF) need to be efficient in terms of statistical complexity, computational complexity, and query complexity. In this work, we consider the RLHF setting where the feedback…

Machine Learning · Computer Science 2024-03-14 Runzhe Wu , Wen Sun

Recent work on approximate linear programming (ALP) techniques for first-order Markov Decision Processes (FOMDPs) represents the value function linearly w.r.t. a set of first-order basis functions and uses linear programming techniques to…

Artificial Intelligence · Computer Science 2012-07-02 Scott Sanner , Craig Boutilier

We study regret minimization in repeated first-price auctions (FPAs), where a bidder observes only the realized outcome after each auction -- win or loss. This setup reflects practical scenarios in online display advertising where the…

Machine Learning · Computer Science 2026-03-19 Yuxiao Wen , Yanjun Han , Zhengyuan Zhou

We study \emph{combinatorial procurement auctions}, where a buyer with a valuation function $v$ and budget $B$ wishes to buy a set of items. Each item $i$ has a cost $c_i$ and the buyer is interested in a set $S$ that maximizes $v(S)$…

Computer Science and Game Theory · Computer Science 2015-03-19 Ashwinkumar Badanidiyuru , Shahar Dobzinski , Sigal Oren

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…

Computer Science and Game Theory · Computer Science 2014-07-11 Avrim Blum , Yishay Mansour , Jamie Morgenstern

Single-shot auctions are commonly used as a means to sell goods, for example when selling ad space or allocating radio frequencies, however devising mechanisms for auctions with multiple bidders and multiple items can be complicated. It has…

Machine Learning · Computer Science 2023-03-02 Alex Stein , Avi Schwarzschild , Michael Curry , Tom Goldstein , John Dickerson

We study a structured linear program (LP) that emerges in the need of ranking candidates or items in personalized recommender systems. Since the candidate set is only known in real time, the LP also needs to be formed and solved in real…

Optimization and Control · Mathematics 2022-11-23 Haoyue Wang , Miao Cheng , Kinjal Basu , Aman Gupta , Keerthi Selvaraj , Rahul Mazumder

We consider a multistage framework introduced recently where, given a time horizon t=1,2,...,T, the input is a sequence of instances of a (static) combinatorial optimization problem I_1,I_2,...,I_T, (one for each time step), and the goal is…

Data Structures and Algorithms · Computer Science 2019-09-24 Evripidis Bampis , Bruno Escoffier , Alexander Kononov
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