Entropy weighted power k-means clustering

S Chakraborty, D Paul, S Das… - … conference on artificial …, 2020 - proceedings.mlr.press
Despite its well-known shortcomings, k-means remains one of the most widely used
approaches to data clustering. Current research continues to tackle its flaws while …

Clustering analysis using an adaptive fused distance

KK Sharma, A Seal - Engineering Applications of Artificial Intelligence, 2020 - Elsevier
The selection of a proper distance function is crucial for analyzing the data efficiently. To find
an appropriate distance for clustering algorithm is an unsolved problem as of now. The …

On consistent entropy-regularized k-means clustering with feature weight learning: Algorithm and statistical analyses

S Chakraborty, D Paul, S Das - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Clusters in real data are often restricted to low-dimensional subspaces rather than the entire
feature space. Recent approaches to circumvent this difficulty are often computationally …

On the uniform concentration bounds and large sample properties of clustering with Bregman divergences

D Paul, S Chakraborty, S Das - Stat, 2021 - Wiley Online Library
Clustering with Bregman divergence has been used in literature to unify centroid‐based
parametric clustering approaches and to allow the detection of nonspherical clusters within …

Kernel k-means, by all means: Algorithms and strong consistency

D Paul, S Chakraborty, S Das, J Xu - arXiv preprint arXiv:2011.06461, 2020 - arxiv.org
Kernel $ k $-means clustering is a powerful tool for unsupervised learning of non-linearly
separable data. Since the earliest attempts, researchers have noted that such algorithms …

On uniform concentration bounds for bi-clustering by using the Vapnik–Chervonenkis theory

S Chakraborty, S Das - Statistics & Probability Letters, 2021 - Elsevier
Bi-clustering refers to the task of partitioning the rows and columns of a data matrix
simultaneously. Although empirically useful, the theoretical aspects of bi-clustering …

Entropy regularized power k-means clustering

S Chakraborty, D Paul, S Das, J Xu - arXiv preprint arXiv:2001.03452, 2020 - arxiv.org
Despite its well-known shortcomings, $ k $-means remains one of the most widely used
approaches to data clustering. Current research continues to tackle its flaws while …

[PDF][PDF] Demand Modeling and Optimization Algorithms for Rebalancing Operations in Bike-Sharing Systems

K Boonjubut - SHIBAURA INSTITUTE OF TECHNOLOGY, 2022 - core.ac.uk
The number of bike-sharing services has rapidly increased in many cities worldwide. Bike-
sharing schemes have become a popular and environmentally friendly transportation mode …

A Strongly Consistent Sparse -means Clustering with Direct Penalization on Variable Weights

S Chakraborty, S Das - arXiv preprint arXiv:1903.10039, 2019 - arxiv.org
We propose the Lasso Weighted $ k $-means ($ LW $-$ k $-means) algorithm as a simple
yet efficient sparse clustering procedure for high-dimensional data where the number of …

Robust Linear Predictions: Analyses of Uniform Concentration, Fast Rates and Model Misspecification

S Chakraborty, D Paul, S Das - arXiv preprint arXiv:2201.01973, 2022 - arxiv.org
The problem of linear predictions has been extensively studied for the past century under
pretty generalized frameworks. Recent advances in the robust statistics literature allow us to …