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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…

机器学习 · 计算机科学 2023-04-14 Shaojie Tang , Jing Yuan

In real-world classification settings, such as loan application evaluation or content moderation on online platforms, individuals respond to classifier predictions by strategically updating their features to increase their likelihood of…

计算机与社会 · 计算机科学 2023-09-19 Vijay Keswani , L. Elisa Celis

The fairness of clustering algorithms has gained widespread attention across various areas, including machine learning, In this paper, we study fair $k$-means clustering in Euclidean space. Given a dataset comprising several groups, the…

机器学习 · 计算机科学 2024-12-10 Shihong Song , Guanlin Mo , Qingyuan Yang , Hu Ding

The applicability of agglomerative clustering, for inferring both hierarchical and flat clustering, is limited by its scalability. Existing scalable hierarchical clustering methods sacrifice quality for speed and often lead to over-merging…

We analyse a catalogue of simulated clusters within the theoretical framework of the Spherical Collapse Model (SCM), and demonstrate that the relation between the infall velocity of member galaxies and the cluster matter overdensity can be…

宇宙学与河外天体物理 · 物理学 2015-03-13 Guido Cupani , Marino Mezzetti , Fabio Mardirossian

Clustering data objects into homogeneous groups is one of the most important tasks in data mining. Spectral clustering is arguably one of the most important algorithms for clustering, as it is appealing for its theoretical soundness and is…

机器学习 · 统计学 2024-03-12 Dylan Soemitro , Jeova Farias Sales Rocha Neto

Spectral clustering is widely used in practice due to its flexibility, computational efficiency, and well-understood theoretical performance guarantees. Recently, spectral clustering has been studied to find balanced clusters under…

机器学习 · 统计学 2022-03-07 Shubham Gupta , Ambedkar Dukkipati

We study the fair variant of the classic $k$-median problem introduced by Chierichetti et al. [2017]. In the standard $k$-median problem, given an input pointset $P$, the goal is to find $k$ centers $C$ and assign each input point to one of…

数据结构与算法 · 计算机科学 2019-06-12 Arturs Backurs , Piotr Indyk , Krzysztof Onak , Baruch Schieber , Ali Vakilian , Tal Wagner

We describe the Fast Greedy Sparse Subspace Clustering (FGSSC) algorithm providing an efficient method for clustering data belonging to a few low-dimensional linear or affine subspaces. The main difference of our algorithm from predecessors…

机器学习 · 计算机科学 2013-06-10 Alexander Petukhov , Inna Kozlov

We study the problem of fairness in k-centers clustering on data with disjoint demographic groups. Specifically, this work proposes a variant of fairness which restricts each group's number of centers with both a lower bound…

数据结构与算法 · 计算机科学 2022-07-26 Huy Lê Nguyen , Thy Nguyen , Matthew Jones

Spectral Clustering(SC) is a prominent data clustering technique of recent times which has attracted much attention from researchers. It is a highly data-driven method and makes no strict assumptions on the structure of the data to be…

机器学习 · 计算机科学 2019-09-18 Lalith Srikanth Chintalapati , Raghunatha Sarma Rachakonda

A new model-based procedure is developed for sparse clustering of functional data that aims to classify a sample of curves into homogeneous groups while jointly detecting the most informative portions of domain. The proposed method is…

统计方法学 · 统计学 2023-10-04 Fabio Centofanti , Antonio Lepore , Biagio Palumbo

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

统计方法学 · 统计学 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang

Algorithmic fairness has become a central concern in modern machine learning and AI applications. However, two pressing challenges remain: (1) The fairness guarantees of existing methods often rely on specific data distributional…

统计方法学 · 统计学 2026-05-14 Xiaotian Hou , Linjun Zhang

In this paper, we present a deep extension of Sparse Subspace Clustering, termed Deep Sparse Subspace Clustering (DSSC). Regularized by the unit sphere distribution assumption for the learned deep features, DSSC can infer a new data…

计算机视觉与模式识别 · 计算机科学 2017-09-26 Xi Peng , Jiashi Feng , Shijie Xiao , Jiwen Lu , Zhang Yi , Shuicheng Yan

A fair clustering instance is given a data set $A$ in which every point is assigned some color. Colors correspond to various protected attributes such as sex, ethnicity, or age. A fair clustering is an instance where membership of points in…

数据结构与算法 · 计算机科学 2021-03-09 Matteo Böhm , Adriano Fazzone , Stefano Leonardi , Chris Schwiegelshohn

Federated Learning (FL) has been a pivotal paradigm for collaborative training of machine learning models across distributed datasets. In heterogeneous settings, it has been observed that a single shared FL model can lead to low local…

机器学习 · 计算机科学 2025-06-02 Yifan Yang , Ali Payani , Parinaz Naghizadeh

Within the relatively busy area of fair machine learning that has been dominated by classification fairness research, fairness in clustering has started to see some recent attention. In this position paper, we assess the existing work in…

计算机与社会 · 计算机科学 2020-07-16 Deepak P

Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, whose number, orientations, and dimensions are all unknown. In practice one may have access to…

机器学习 · 统计学 2015-12-15 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

Spectral clustering became a popular choice for data clustering for its ability of uncovering clusters of different shapes. However, it is not always preferable over other clustering methods due to its computational demands. One of the…

机器学习 · 计算机科学 2023-02-23 Mashaan Alshammari , John Stavrakakis , Masahiro Takatsuka