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Fueled by massive data, important decision making is being automated with the help of algorithms, therefore, fairness in algorithms has become an especially important research topic. In this work, we design new streaming and distributed…

Data Structures and Algorithms · Computer Science 2020-02-25 Ashish Chiplunkar , Sagar Kale , Sivaramakrishnan Natarajan Ramamoorthy

Fair classification has been a topic of intense study in machine learning, and several algorithms have been proposed towards this important task. However, in a recent study, Friedler et al. observed that fair classification algorithms may…

Machine Learning · Computer Science 2020-09-10 Lingxiao Huang , Nisheeth K. Vishnoi

Partial Set Cover (PSC) is a generalization of the well-studied Set Cover problem (SC). In PSC the input consists of an integer $k$ and a set system $(U,S)$ where $U$ is a finite set, and $S \subseteq 2^U$ is a collection of subsets of $U$.…

Data Structures and Algorithms · Computer Science 2019-07-11 Chandra Chekuri , Kent Quanrud , Zhao Zhang

We study the problem Symmetric Directed Multicut from a parameterized complexity perspective. In this problem, the input is a digraph $D$, a set of cut requests $C=\{(s_1,t_1),\ldots,(s_\ell,t_\ell)\}$ and an integer $k$, and the task is to…

Data Structures and Algorithms · Computer Science 2022-08-22 Eduard Eiben , Clément Rambaud , Magnus Wahlström

Given an $n$-vertex bipartite graph $I=(S,U,E)$, the goal of set cover problem is to find a minimum sized subset of $S$ such that every vertex in $U$ is adjacent to some vertex of this subset. It is NP-hard to approximate set cover to…

Computational Complexity · Computer Science 2019-04-29 Bingkai Lin

Standard approaches to group-based notions of fairness, such as \emph{parity} and \emph{equalized odds}, try to equalize absolute measures of performance across known groups (based on race, gender, etc.). Consequently, a group that is…

Machine Learning · Computer Science 2021-02-25 Anilesh K. Krishnaswamy , Zhihao Jiang , Kangning Wang , Yu Cheng , Kamesh Munagala

We study the canonical fair clustering problem where each cluster is constrained to have close to population-level representation of each group. Despite significant attention, the salient issue of having incomplete knowledge about the group…

Machine Learning · Computer Science 2024-11-21 Sharmila Duppala , Juan Luque , John P. Dickerson , Seyed A. Esmaeili

Deciding feasibility of large systems of linear equations and inequalities is one of the most fundamental algorithmic tasks. However, due to data inaccuracies or modeling errors, in practical applications one often faces linear systems that…

Data Structures and Algorithms · Computer Science 2022-09-07 Kristóf Bérczi , Alexander Göke , Lydia Mirabel Mendoza-Cadena , Matthias Mnich

Numerous algorithms have been produced for the fundamental problem of clustering under many different notions of fairness. Perhaps the most common family of notions currently studied is group fairness, in which proportional group…

Machine Learning · Computer Science 2023-06-06 Seyed A. Esmaeili , Sharmila Duppala , John P. Dickerson , Brian Brubach

With the aim of building machine learning systems that incorporate standards of fairness and accountability, we explore explicit subgroup sample complexity bounds. The work is motivated by the observation that classifier predictions for…

Machine Learning · Computer Science 2019-10-28 Ananth Balashankar , Alyssa Lees

We are given n base elements and a finite collection of subsets of them. The size of any subset varies between p to k (p < k). In addition, we assume that the input contains all possible subsets of size p. Our objective is to find a…

Data Structures and Algorithms · Computer Science 2009-06-09 Asaf Levin , Uri Yovel

We discuss approximability and inapproximability in FPT-time for a large class of subset problems where a feasible solution $S$ is a subset of the input data and the value of $S$ is $|S|$. The class handled encompasses many well-known…

Computational Complexity · Computer Science 2013-10-22 Edouard Bonnet , Vangelis Th. Paschos

Let $\mathcal{F}$ be any collection of linearly separable sets of a set $P$ of $n$ points either in $\mathbb{R}^2$, or in $\mathbb{R}^3$. We show that for every natural number $k$ either one can find $k$ pairwise disjoint sets in…

Combinatorics · Mathematics 2015-07-10 Shay Moran , Rom Pinchasi

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

Data Structures and Algorithms · Computer Science 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

The graph matching problem aims to discover a latent correspondence between the vertex sets of two observed graphs. This problem has proven to be quite challenging, with few satisfying methods that are computationally tractable and widely…

Computation · Statistics 2018-07-26 Fei Fang , Daniel L. Sussman , Vince Lyzinski

Diversity is an important principle in data selection and summarization, facility location, and recommendation systems. Our work focuses on maximizing diversity in data selection, while offering fairness guarantees. In particular, we offer…

Data Structures and Algorithms · Computer Science 2020-10-20 Zafeiria Moumoulidou , Andrew McGregor , Alexandra Meliou

We study a basic problem of approximating the size of an unknown set $S$ in a known universe $U$. We consider two versions of the problem. In both versions the algorithm can specify subsets $T\subseteq U$. In the first version, which we…

Data Structures and Algorithms · Computer Science 2014-04-23 Dana Ron , Gilad Tsur

The paper deals with the Feedback Vertex Set problem parameterized by the solution size. Given a graph $G$ and a parameter $k$, one has to decide if there is a set $S$ of at most $k$ vertices such that $G-S$ is acyclic. Assuming the…

Data Structures and Algorithms · Computer Science 2026-01-16 Gaétan Berthe , Marin Bougeret , Daniel Gonçalves , Jean-Florent Raymond

The reason behind the unfair outcomes of AI is often rooted in biased datasets. Therefore, this work presents a framework for addressing fairness by debiasing datasets containing a (non-)binary protected attribute. The framework proposes a…

Machine Learning · Computer Science 2024-11-19 Manh Khoi Duong , Stefan Conrad

We consider an online version of the geometric minimum hitting set problem that can be described as a game between an adversary and an algorithm. For some integers $d$ and $N$, let $P$ be the set of points in $(0, N)^d$ with integral…

Data Structures and Algorithms · Computer Science 2023-09-06 Shanli Alefkhani , Nima Khodaveisi , Mathieu Mari
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