no code implementations • 26 Nov 2023 • Supratik Basu, Jyotishka Ray Choudhury, Debolina Paul, Swagatam Das
Clustering stands as one of the most prominent challenges within the realm of unsupervised machine learning.
no code implementations • 6 Jan 2022 • Saptarshi Chakraborty, Debolina Paul, Swagatam Das
The problem of linear predictions has been extensively studied for the past century under pretty generalized frameworks.
1 code implementation • NeurIPS 2021 • Debolina Paul, Saptarshi Chakraborty, Swagatam Das, Jason Xu
Recent advances in center-based clustering continue to improve upon the drawbacks of Lloyd's celebrated $k$-means algorithm over $60$ years after its introduction.
no code implementations • 5 Feb 2021 • Debolina Paul, Saptarshi Chakraborty, Swagatam Das
Principal Component Analysis (PCA) is a fundamental tool for data visualization, denoising, and dimensionality reduction.
1 code implementation • 20 Dec 2020 • Saptarshi Chakraborty, Debolina Paul, Swagatam Das
Mean shift is a simple interactive procedure that gradually shifts data points towards the mode which denotes the highest density of data points in the region.
no code implementations • 12 Nov 2020 • Debolina Paul, Saptarshi Chakraborty, Swagatam Das, Jason Xu
We show the method implicitly performs annealing in kernel feature space while retaining efficient, closed-form updates, and we rigorously characterize its convergence properties both from computational and statistical points of view.
no code implementations • 17 Aug 2020 • Debolina Paul, Saptarshi Chakraborty, Didong Li, David Dunson
In a rich variety of real data clustering applications, PEA is shown to do as well as k-means for simple datasets, while dramatically improving performance in more complex settings.
1 code implementation • 10 Jan 2020 • Saptarshi Chakraborty, Debolina Paul, Swagatam Das, Jason Xu
Despite its well-known shortcomings, $k$-means remains one of the most widely used approaches to data clustering.