Fair algorithms for clustering

S Bera, D Chakrabarty, N Flores… - Advances in Neural …, 2019 - proceedings.neurips.cc
We study the problem of finding low-cost {\em fair clusterings} in data where each data point
may belong to many protected groups. Our work significantly generalizes the seminal work …

Better Guarantees for -Means and Euclidean -Median by Primal-Dual Algorithms

S Ahmadian, A Norouzi-Fard, O Svensson… - SIAM Journal on …, 2019 - SIAM
Clustering is a classic topic in optimization with k-means being one of the most fundamental
such problems. In the absence of any restrictions on the input, the best-known algorithm for k …

Proportionally fair clustering

X Chen, B Fain, L Lyu… - … conference on machine …, 2019 - proceedings.mlr.press
We extend the fair machine learning literature by considering the problem of proportional
centroid clustering in a metric context. For clustering n points with k centers, we define …

Towards optimal lower bounds for k-median and k-means coresets

V Cohen-Addad, KG Larsen, D Saulpic… - Proceedings of the 54th …, 2022 - dl.acm.org
The (k, z)-clustering problem consists of finding a set of k points called centers, such that the
sum of distances raised to the power of z of every data point to its closest center is …