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We study the problem of allocating indivisible items on a path among agents. The objective is to find a fair and efficient allocation in which each agent's bundle forms a contiguous block on the line. We say that an instance is \emph{$(a,…

Computer Science and Game Theory · Computer Science 2025-01-14 Yasushi Kawase , Bodhayan Roy , Mohammad Azharuddin Sanpui

Assortment optimization is a critical tool for online retailers aiming to maximize revenue. However, optimizing purely for revenue can lead to unbalanced sales across products, potentially causing a long tail of low-selling products and…

Computer Science and Game Theory · Computer Science 2026-03-16 Omar El Housni , Qing Feng , Huseyin Topaloglu

The knapsack problem is one of the classical problems in combinatorial optimization: Given a set of items, each specified by its size and profit, the goal is to find a maximum profit packing into a knapsack of bounded capacity. In the…

Data Structures and Algorithms · Computer Science 2020-12-02 Susanne Albers , Arindam Khan , Leon Ladewig

We study the problem of learning to partition users into groups, where one must learn the compatibilities between the users to achieve optimal groupings. We define four natural objectives that optimize for average and worst case…

Machine Learning · Computer Science 2017-03-24 Arun Rajkumar , Koyel Mukherjee , Theja Tulabandhula

Algorithmic fairness has become a central concern in computational decision-making systems, where ensuring equitable outcomes is essential for both ethical and legal reasons. Two dominant notions of fairness have emerged in the literature:…

Machine Learning · Computer Science 2026-02-03 Sandra Benítez-Peña , Blas Kolic , Victoria Menendez , Belén Pulido

Recommendation algorithms typically build models based on historical user-item interactions (e.g., clicks, likes, or ratings) to provide a personalized ranked list of items. These interactions are often distributed unevenly over different…

Information Retrieval · Computer Science 2021-03-16 Ziwei Zhu , Jianling Wang , James Caverlee

Many interesting problems in the Internet industry can be framed as a two-sided marketplace problem. Examples include search applications and recommender systems showing people, jobs, movies, products, restaurants, etc. Incorporating…

Artificial Intelligence · Computer Science 2020-06-24 Kinjal Basu , Cyrus DiCiccio , Heloise Logan , Noureddine El Karoui

Correlation clustering is a ubiquitous paradigm in unsupervised machine learning where addressing unfairness is a major challenge. Motivated by this, we study Fair Correlation Clustering where the data points may belong to different…

Machine Learning · Computer Science 2022-06-13 Sara Ahmadian , Maryam Negahbani

Motivated by real-world applications such as the allocation of public housing, we examine the problem of assigning a group of agents to vertices (e.g., spatial locations) of a network so that the diversity level is maximized. Specifically,…

Data Structures and Algorithms · Computer Science 2024-04-02 Zirou Qiu , Andrew Yuan , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

In this paper, we consider an online resource allocation problem where a decision maker accepts or rejects incoming customer requests irrevocably in order to maximize expected reward given limited resources. At each time, a new…

Data Structures and Algorithms · Computer Science 2022-05-03 Guanting Chen , Xiaocheng Li , Yinyu Ye

Machine learning algorithms play an important role in a variety of important decision-making processes, including targeted advertisement displays, home loan approvals, and criminal behavior predictions. Given the far-reaching impact of…

Machine Learning · Computer Science 2023-04-14 Shaojie Tang , Jing Yuan

We study different online optimization problems in the random-order model. There is a finite set of bins with known capacity and a finite set of items arriving in a random order. Upon arrival of an item, its size and its value for each of…

Data Structures and Algorithms · Computer Science 2025-04-03 Max Klimm , Martin Knaack

To address efficiency and design challenges in choice-based matching platforms, we introduce a two-sided assortment optimization framework under general choice preferences. The goal in this problem is to maximize the expected number of…

Optimization and Control · Mathematics 2026-05-08 Omar El Housni , Ulysse Hennebelle , Alfredo Torrico

The most prevalent notions of fairness in machine learning are statistical definitions: they fix a small collection of pre-defined groups, and then ask for parity of some statistic of the classifier across these groups. Constraints of this…

Machine Learning · Computer Science 2018-12-04 Michael Kearns , Seth Neel , Aaron Roth , Zhiwei Steven Wu

Consider a storage area where arriving items are stored temporarily in bounded capacity stacks until their departure. We look into the problem of deciding where to put an arriving item with the objective of minimizing the maximum number of…

Data Structures and Algorithms · Computer Science 2020-06-11 Martin Olsen , Allan Gross

Resource allocation problems are a fundamental domain in which to evaluate the fairness properties of algorithms. The trade-offs between fairness and utilization have a long history in this domain. A recent line of work has considered…

Data Structures and Algorithms · Computer Science 2020-10-20 Kate Donahue , Jon Kleinberg

This paper introduces the Simultaneous assignment problem. Let us given a graph with a weight and a capacity function on its edges, and a set of its subgraphs along with a degree upper bound function for each of them. We are also given a…

Data Structures and Algorithms · Computer Science 2023-01-24 Péter Madarasi

We study the online fair division problem, where indivisible goods arrive sequentially and must be allocated immediately and irrevocably. Prior work establishes strong impossibility results for approximating classic notions such as…

Computer Science and Game Theory · Computer Science 2026-05-29 Davin Choo , Winston Fu , Derek Khu , Tzeh Yuan Neoh , Tze-Yang Poon , Nicholas Teh

Selection under category or diversity constraints is a ubiquitous and widely-applicable problem that is encountered in immigration, school choice, hiring, and healthcare rationing. These diversity constraints are typically represented by…

Computer Science and Game Theory · Computer Science 2023-02-21 Haris Aziz , Sean Morota Chu , Zhaohong Sun

We analyze the run-time complexity of computing allocations that are both fair and maximize the utilitarian social welfare, defined as the sum of agents' utilities. We focus on two tractable fairness concepts: envy-freeness up to one item…

Computer Science and Game Theory · Computer Science 2024-09-23 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi