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Given an undirected graph representing similarities between a set of items and an additive measure evaluating the items, we treat the position of a special subset of items in an ordinal ranking through a collection of combinatorial…

Data Structures and Algorithms · Computer Science 2026-05-05 Samuel Boardman

The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

General Mathematics · Mathematics 2025-08-25 Angshuman Robin Goswami

We study the max-min fair allocation problem in which a set of $m$ indivisible items are to be distributed among $n$ agents such that the minimum utility among all agents is maximized. In the restricted setting, the utility of each item $j$…

Discrete Mathematics · Computer Science 2016-11-28 T-H. Hubert Chan , Zhihao Gavin Tang , Xiaowei Wu

A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the…

Machine Learning · Computer Science 2018-01-08 Reinhard Heckel , Max Simchowitz , Kannan Ramchandran , Martin J. Wainwright

The label shift problem refers to the supervised learning setting where the train and test label distributions do not match. Existing work addressing label shift usually assumes access to an \emph{unlabelled} test sample. This sample may be…

Machine Learning · Computer Science 2021-08-18 Jingzhao Zhang , Aditya Menon , Andreas Veit , Srinadh Bhojanapalli , Sanjiv Kumar , Suvrit Sra

A clustering may be considered as fair on pre-specified sensitive attributes if the proportions of sensitive attribute groups in each cluster reflect that in the dataset. In this paper, we consider the task of fair clustering for scenarios…

Machine Learning · Computer Science 2020-01-27 Savitha Sam Abraham , Deepak P , Sowmya S Sundaram

The performance of a machine learning system is usually evaluated by using i.i.d.\ observations with true labels. However, acquiring ground truth labels is expensive, while obtaining unlabeled samples may be cheaper. Stratified sampling can…

Machine Learning · Computer Science 2019-07-29 Tiancheng Yu , Xiyu Zhai , Suvrit Sra

The need for diversification of recommendation lists manifests in a number of recommender systems use cases. However, an increase in diversity may undermine the utility of the recommendations, as relevant items in the list may be replaced…

Information Retrieval · Computer Science 2014-11-14 Azin Ashkan , Branislav Kveton , Shlomo Berkovsky , Zheng Wen

We develop an algorithm to train individually fair learning-to-rank (LTR) models. The proposed approach ensures items from minority groups appear alongside similar items from majority groups. This notion of fair ranking is based on the…

Machine Learning · Statistics 2021-03-23 Amanda Bower , Hamid Eftekhari , Mikhail Yurochkin , Yuekai Sun

The multiple knapsack problem with grouped items aims to maximize rewards by assigning groups of items among multiple knapsacks, considering knapsack capacities. Either all items in a group are assigned or none at all. We propose algorithms…

Data Structures and Algorithms · Computer Science 2020-06-02 Francisco Castillo-Zunino , Pinar Keskinocak

Rankings, especially those in search and recommendation systems, often determine how people access information and how information is exposed to people. Therefore, how to balance the relevance and fairness of information exposure is…

Information Retrieval · Computer Science 2021-02-22 Tao Yang , Qingyao Ai

Finding a happiness maximizing set (HMS) from a database, i.e., selecting a small subset of tuples that preserves the best score with respect to any nonnegative linear utility function, is an important problem in multi-criteria…

Databases · Computer Science 2023-04-27 Jiping Zheng , Yuan Ma , Wei Ma , Yanhao Wang , Xiaoyang Wang

Demographic parity (DP) is a widely used group fairness criterion requiring predictive distributions to be invariant across sensitive groups. While natural in classification, full distributional DP is often overly restrictive in regression…

Machine Learning · Statistics 2026-03-27 Arthur Charpentier , Christophe Denis , Romuald Elie , Mohamed Hebiri , François HU

In the Minimum Bisection problem, input is a graph $G$ and the goal is to partition the vertex set into two parts $A$ and $B$, such that $||A|-|B|| \le 1$ and the number $k$ of edges between $A$ and $B$ is minimized. This problem can be…

Data Structures and Algorithms · Computer Science 2023-08-22 Tanmay Inamdar , Daniel Lokshtanov , Saket Saurabh , Vaishali Surianarayanan

The $k$-center problem requires the selection of $k$ points (centers) from a given metric pointset $W$ so to minimize the maximum distance of any point of $W$ from the closest center. This paper focuses on a fair variant of the problem,…

Data Structures and Algorithms · Computer Science 2025-03-10 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Francesco Visonà

We study streaming algorithms for proportionally fair clustering, a notion originally suggested by Chierichetti et. al. (2017), in the sliding window model. We show that although there exist efficient streaming algorithms in the…

Data Structures and Algorithms · Computer Science 2025-03-10 Vincent Cohen-Addad , Shaofeng H. -C. Jiang , Qiaoyuan Yang , Yubo Zhang , Samson Zhou

We provide a new framework for generating multiple good quality partitions (clusterings) of a single data set. Our approach decomposes this problem into two components, generating many high-quality partitions, and then grouping these…

Machine Learning · Computer Science 2011-08-02 Jeff M. Phillips , Parasaran Raman , Suresh Venkatasubramanian

Consider a high-dimensional data set, in which for every data-point there is incomplete information. Each object in the data set represents a real entity, which is described by a point in high-dimensional space. We model the lack of…

Other Computer Science · Computer Science 2016-05-10 Hadassa Daltrophe , Shlomi Dolev , Zvi Lotker

A basic problem in the design of privacy-preserving algorithms is the private maximization problem: the goal is to pick an item from a universe that (approximately) maximizes a data-dependent function, all under the constraint of…

Machine Learning · Computer Science 2014-09-09 Kamalika Chaudhuri , Daniel Hsu , Shuang Song

This paper is about how to partition decision variables while decomposing a large-scale optimization problem for the best performance of distributed solution methods. Solving a large-scale optimization problem sequen- tially can be…

Optimization and Control · Mathematics 2017-10-26 Yuchen Zheng , Ilbin Lee , Nicoleta Serban
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