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In this paper, we consider the linear programming (LP) formulation for deep reinforcement learning. The number of the constraints depends on the size of state and action spaces, which makes the problem intractable in large or continuous…

最优化与控制 · 数学 2021-05-21 Yongfeng Li , Mingming Zhao , Weijie Chen , Zaiwen Wen

There has been a recent surge in development of first-order methods (FOMs) for solving huge-scale linear programming (LP) problems. The attractiveness of FOMs for LP stems in part from the fact that they avoid costly matrix factorization…

最优化与控制 · 数学 2025-06-16 Zikai Xiong , Robert M. Freund

Factor-revealing linear programs (LPs) and policy-revealing LPs arise in various contexts of algorithm design and analysis. They are commonly used techniques for analyzing the performance of approximation and online algorithms, especially…

数据结构与算法 · 计算机科学 2025-03-20 Pan Xu

This paper proposes a new approach for approximate evaluation of #P-hard queries with probabilistic databases. In our approach, every query is evaluated entirely in the database engine by evaluating a fixed number of query plans, each…

数据库 · 计算机科学 2014-12-03 Wolfgang Gatterbauer , Dan Suciu

The max-min fair allocation problem seeks an allocation of resources to players that maximizes the minimum total value obtained by any player. Each player $p$ has a non-negative value $v_{pr}$ on resource $r$. In the restricted case, we…

数据结构与算法 · 计算机科学 2018-07-12 Siu-Wing Cheng , Yuchen Mao

We consider private polynomial computation (PPC) over noncolluding coded databases. In such a setting a user wishes to compute a multivariate polynomial of degree at most $g$ over $f$ variables (or messages) stored in multiple databases…

信息论 · 计算机科学 2021-06-29 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

This paper demonstrates a practical method for computing the solution of an expectation-constrained robust maximization problem with immediate applications to model-free no-arbitrage bounds and super-replication values for many financial…

数理金融 · 定量金融 2016-10-06 Christopher W. Miller

Algorithmic Recourse (AR) is the problem of computing a sequence of actions that -- once performed by a user -- overturns an undesirable machine decision. It is paramount that the sequence of actions does not require too much effort for…

机器学习 · 计算机科学 2024-01-24 Giovanni De Toni , Paolo Viappiani , Stefano Teso , Bruno Lepri , Andrea Passerini

The transition to First-Price Auctions (FPA) in digital advertising has spurred significant research, yet existing work typically assumes access to a valuation oracle, ignoring the reality that values must be inferred from censored data.…

机器学习 · 计算机科学 2026-05-12 Zihao Hu , Yuxiao Wen , Yuan Yao , Jiheng Zhang , Zhengyuan Zhou

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…

机器学习 · 计算机科学 2024-05-09 Kazuma Shimizu , Junya Honda , Shinji Ito , Shinji Nakadai

We study the problem of learning to bid when the bidder's value is dynamic, i.e., when the current value depends on past outcomes. Specifically, we consider a bidder participating in repeated second-price auctions whose value depends on the…

机器学习 · 计算机科学 2026-05-28 Benjamin Heymann , Otmane Sakhi

One of the most important open problems in machine scheduling is the problem of scheduling a set of jobs on unrelated machines to minimize the makespan. The best known approximation algorithm for this problem guarantees an approximation…

离散数学 · 计算机科学 2015-03-17 José Verschae , Andreas Wiese

The Joint Replenishment Problem (JRP) deals with optimizing shipments of goods from a supplier to retailers through a shared warehouse. Each shipment involves transporting goods from the supplier to the warehouse, at a fixed cost C,…

数据结构与算法 · 计算机科学 2013-07-10 Marcin Bienkowski , Jaroslaw Byrka , Marek Chrobak , Łukasz Jeż , Jiří Sgall

Advertisers increasingly use automated bidding to optimize their ad campaigns on online advertising platforms. Autobidding optimizes an advertiser's objective subject to various constraints, e.g. average ROI and budget constraints. In this…

计算机科学与博弈论 · 计算机科学 2024-04-16 Gagan Aggarwal , Giannis Fikioris , Mingfei Zhao

We revisit the deadline version of the discrete time-cost tradeoff problem for the special case of bounded depth. Such instances occur for example in VLSI design. The depth of an instance is the number of jobs in a longest chain and is…

数据结构与算法 · 计算机科学 2021-04-22 Siad Daboul , Stephan Held , Jens Vygen

We study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

计算机科学与博弈论 · 计算机科学 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

The Capacitated Facility Location (CFL), a long-standing classic problem with intriguing approximability and literature dated back to the 90s, is considered. Following the open question posted in [Williamson and Shmoys, 2011] and the…

数据结构与算法 · 计算机科学 2022-03-29 Mong-Jen Kao

Motivated by practical concerns in the online advertising industry, we study a bidder subset selection problem in single-item auctions. In this problem, a large pool of candidate bidders have independent values sampled from known prior…

计算机科学与博弈论 · 计算机科学 2022-11-22 Xiaohui Bei , Nick Gravin , Pinyan Lu , Zhihao Gavin Tang

We consider a natural generalization of the Partial Vertex Cover problem. Here an instance consists of a graph G = (V,E), a positive cost function c: V-> Z^{+}, a partition $P_1,..., P_r$ of the edge set $E$, and a parameter $k_i$ for each…

数据结构与算法 · 计算机科学 2015-03-19 Suman Kalyan Bera , Shalmoli Gupta , Amit Kumar , Sambuddha Roy

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.…

计算机科学与博弈论 · 计算机科学 2024-07-09 Rachitesh Kumar , Jon Schneider , Balasubramanian Sivan