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We consider the problem of dividing limited resources between a set of agents arriving sequentially with unknown (stochastic) utilities. Our goal is to find a fair allocation - one that is simultaneously Pareto-efficient and envy-free. When…

Computer Science and Game Theory · Computer Science 2022-07-12 Sean R. Sinclair , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

Motivated by the dynamic assortment offerings and item pricings occurring in e-commerce, we study a general problem of allocating finite inventories to heterogeneous customers arriving sequentially. We analyze this problem under the…

Data Structures and Algorithms · Computer Science 2019-05-14 Will Ma , David Simchi-Levi

In the classical facility location problem we consider a graph $G$ with fixed weights on the edges of $G$. The goal is then to find an optimal positioning for a set of facilities on the graph with respect to some objective function. We…

Data Structures and Algorithms · Computer Science 2014-06-10 Boaz Ben-Moshe , Michael Elkin , Lee-Ad Gottlieb , Eran Omri

We consider allocation of a resource to multiple interested users with a constraint that if the resource is allocated to user $i$ then it can not be allocated simultaneously to a predefined set of users $\cS_i$ . This scenario arises in…

Computer Science and Game Theory · Computer Science 2018-11-29 Indu Yadav , Prasanna Chaporkar , Abhay Karandikar

Online allocation problems with resource constraints have a rich history in operations research. In this paper, we introduce the \emph{regularized online allocation problem}, a variant that includes a non-linear regularizer acting on the…

Optimization and Control · Mathematics 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

In the past few years, we have envisioned an increasing number of businesses start driving by big data analytics, such as Amazon recommendations and Google Advertisements. At the back-end side, the businesses are powered by big data…

Performance · Computer Science 2021-10-26 Ying Mao , Victoria Green , Jiayin Wang , Haoyi Xiong , Zhishan Guo

We consider the problem of fairly and efficiently allocating indivisible items (goods or bads) under capacity constraints. In this setting, we are given a set of categorized items. Each category has a capacity constraint (the same for all…

Computer Science and Game Theory · Computer Science 2023-03-01 Hila Shoshan , Erel Segal-Halevi , Noam Hazon

We address the problem of active online assortment optimization problem with preference feedback, which is a framework for modeling user choices and subsetwise utility maximization. The framework is useful in various real-world applications…

Machine Learning · Computer Science 2024-03-01 Aadirupa Saha , Pierre Gaillard

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

Probability · Mathematics 2018-08-23 Refael Hassin , Liron Ravner

We present a number of models for the adword auctions used for pricing advertising slots on search engines such as Google, Yahoo! etc. We begin with a general problem formulation which allows the privately known valuation per click to be a…

Computer Science and Game Theory · Computer Science 2007-05-23 Garud Iyengar , Anuj Kumar

The increasing reliance on human preference feedback to judge AI-generated pseudo labels has created a pressing need for principled, budget-conscious data acquisition strategies. We address the crucial question of how to optimally allocate…

Machine Learning · Statistics 2026-02-13 Zihan Dong , Xiaotian Hou , Ruijia Wu , Linjun Zhang

Major Internet advertising platforms offer budget pacing tools as a standard service for advertisers to manage their ad campaigns. Given the inherent non-stationarity in an advertiser's value and also competing advertisers' values over…

Machine Learning · Computer Science 2023-02-07 Santiago Balseiro , Rachitesh Kumar , Vahab Mirrokni , Balasubramanian Sivan , Di Wang

In this paper, we study the problem of allocating ads to users through the viral-marketing lens. Advertisers approach the host with a budget in return for the marketing campaign service provided by the host. We show that allocation that…

Social and Information Networks · Computer Science 2015-08-26 Cigdem Aslay , Wei Lu , Francesco Bonchi , Amit Goyal , Laks V. S. Lakshmanan

Subgraph enumeration is a fundamental problem in graph analytics, which aims to find all instances of a given query graph on a large data graph. In this paper, we propose a system called HUGE to efficiently process subgraph enumeration at…

Databases · Computer Science 2021-03-30 Zhengyi Yang , Longbin Lai , Xuemin Lin , Kongzhang Hao , Wenjie Zhang

We analyze two communication-efficient algorithms for distributed statistical optimization on large-scale data sets. The first algorithm is a standard averaging method that distributes the $N$ data samples evenly to $\nummac$ machines,…

Machine Learning · Statistics 2013-10-14 Yuchen Zhang , John C. Duchi , Martin Wainwright

The ability for an agent to localize itself within an environment is crucial for many real-world applications. For unknown environments, Simultaneous Localization and Mapping (SLAM) enables incremental and concurrent building of and…

Computer Vision and Pattern Recognition · Computer Science 2018-02-21 Emilio Parisotto , Devendra Singh Chaplot , Jian Zhang , Ruslan Salakhutdinov

We study web and mobile applications that are used to schedule advance service, from medical appointments to restaurant reservations. We model them as online weighted bipartite matching problems with non-stationary arrivals. We propose new…

Optimization and Control · Mathematics 2018-05-29 Xinshang Wang , Van-Anh Truong , David Bank

Online advertising platforms must decide how to allocate multiple ads across limited screen real estate, where each ad's effectiveness depends not only on its own placement but also on nearby ads competing for user attention. Such spatial…

Computer Science and Game Theory · Computer Science 2026-02-16 Gagan Aggarwal , Yifan Wang , Mingfei Zhao

As foundation models grow in size, fine-tuning them becomes increasingly expensive. While GPU spot instances offer a low-cost alternative to on-demand resources, their volatile prices and availability make deadline-aware scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-25 Linggao Kong , Yuedong Xu , Lei Jiao , Chuan Xu

We consider the problem of reserving link capacity in a network in such a way that any of a given set of flow scenarios can be supported. In the optimal capacity reservation problem, we choose the reserved link capacities to minimize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-03 Nicholas Moehle , Xinyue Shen , Zhi-Quan Luo , Stephen Boyd
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