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Differentially private $K$-means clustering enables releasing cluster centers derived from a dataset while protecting the privacy of the individuals. Non-interactive clustering techniques based on privatized histograms are attractive…

Cryptography and Security · Computer Science 2026-03-31 Gokularam Muthukrishnan , Anshoo Tandon

We study the data selection problem, whose aim is to select a small representative subset of data that can be used to efficiently train a machine learning model. We present a new data selection approach based on $k$-means clustering and…

One of the applications of center-based clustering algorithms such as K-Means is partitioning data points into K clusters. In some examples, the feature space relates to the underlying problem we are trying to solve, and sometimes we can…

Machine Learning · Computer Science 2020-09-23 Ali Hassani , Amir Iranmanesh , Mahdi Eftekhari , Abbas Salemi

Gradient Boosted Decision Trees (GBDT) is a very successful ensemble learning algorithm widely used across a variety of applications. Recently, several variants of GBDT training algorithms and implementations have been designed and heavily…

Machine Learning · Computer Science 2019-06-27 Yu Shi , Jian Li , Zhize Li

This paper proposes an efficient hypergraph partitioning framework based on a novel multi-objective non-convex constrained relaxation model. A modified accelerated proximal gradient algorithm is employed to generate diverse $k$-dimensional…

Machine Learning · Computer Science 2025-09-29 Yingying Li , Mingxuan Xie , Hailong You , Yongqiang Yao , Hongwei Liu

The $k$-means is a popular clustering objective, although it is inherently non-robust and sensitive to outliers. Its popular seeding or initialization called $k$-means++ uses $D^{2}$ sampling and comes with a provable $O(\log k)$…

Machine Learning · Computer Science 2023-09-07 Amit Deshpande , Rameshwar Pratap

Binary segmentation is the classic greedy algorithm which recursively splits a sequential data set by optimizing some loss or likelihood function. Binary segmentation is widely used for changepoint detection in data sets measured over space…

Machine Learning · Computer Science 2024-10-14 Toby Dylan Hocking

Due to their conceptual simplicity, k-means algorithm variants have been extensively used for unsupervised cluster analysis. However, one main shortcoming of these algorithms is that they essentially fit a mixture of identical spherical…

Machine Learning · Computer Science 2024-02-06 Raphael Araujo Sampaio , Joaquim Dias Garcia , Marcus Poggi , Thibaut Vidal

In this paper we target the class of modal clustering methods where clusters are defined in terms of the local modes of the probability density function which generates the data. The most well-known modal clustering method is the k-means…

Machine Learning · Computer Science 2022-03-04 Gaël Beck , Tarn Duong , Mustapha Lebbah , Hanane Azzag , Christophe Cérin

Accurate reconstruction of probability density functions (PDFs) from data is essential in engineering applications. Classical global moment-based polynomial approximations often suffer from oscillations, instability in the tails, and…

General Mathematics · Mathematics 2026-03-03 Meltem Turan , Joakim Munkhammar

Gradient Boosting Decision Tree (GBDT) has achieved remarkable success in a wide variety of applications. The split finding algorithm, which determines the tree construction process, is one of the most crucial components of GBDT. However,…

Machine Learning · Computer Science 2023-05-19 Zheyu Zhang , Tianping Zhang , Jian Li

Recently, pre-trained language models like BERT have shown promising performance on multiple natural language processing tasks. However, the application of these models has been limited due to their huge size. To reduce its size, a popular…

Computation and Language · Computer Science 2020-10-15 Zihan Zhao , Yuncong Liu , Lu Chen , Qi Liu , Rao Ma , Kai Yu

In this paper, we propose a gradient boosting algorithm for large-scale regression problems called \textit{Gradient Boosted Binary Histogram Ensemble} (GBBHE) based on binary histogram partition and ensemble learning. From the theoretical…

Machine Learning · Statistics 2021-06-04 Hanyuan Hang , Tao Huang , Yuchao Cai , Hanfang Yang , Zhouchen Lin

Deep learning model compression is an improving and important field for the edge deployment of deep learning models. Given the increasing size of the models and their corresponding power consumption, it is vital to decrease the model size…

Machine Learning · Computer Science 2022-10-12 Madhumitha Sakthi , Niranjan Yadla , Raj Pawate

K-Means clustering still plays an important role in many computer vision problems. While the conventional Lloyd method, which alternates between centroid update and cluster assignment, is primarily used in practice, it may converge to a…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Huu Le , Anders Eriksson , Thanh-Toan Do , Michael Milford

Clustering is one of the most fundamental tools in the artificial intelligence area, particularly in the pattern recognition and learning theory. In this paper, we propose a simple, but novel approach for variance-based k-clustering tasks,…

Machine Learning · Computer Science 2020-09-17 Yicheng Xu , Vincent Chau , Chenchen Wu , Yong Zhang , Vassilis Zissimopoulos , Yifei Zou

Skyline queries typically search a Pareto-optimal set from a given data set to solve the corresponding multiobjective optimization problem. As the number of criteria increases, the skyline presumes excessive data items, which yield a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Chuan-Chi Lai , Hsuan-Yu Lin , Chuan-Ming Liu

This paper addresses the limitations of conventional vector quantization algorithms, particularly K-Means and its variant K-Means++, and investigates the Stochastic Quantization (SQ) algorithm as a scalable alternative for high-dimensional…

Machine Learning · Computer Science 2025-03-11 Anton Kozyriev , Vladimir Norkin

The determination of sample size in qualitative research has traditionally relied on the subjective and often ambiguous principle of data saturation, which can lead to inconsistencies and threaten methodological rigor. This study introduces…

Machine Learning · Computer Science 2025-12-10 Hasan Tutar , Caner Erden , Ümit Şentürk

Clustering is one of the most fundamental tasks in machine learning, and the k-means clustering algorithm is perhaps one of the most widely used clustering algorithms. However, it suffers from several limitations, such as sensitivity to…

Quantum Physics · Physics 2026-04-10 Syed M. Abdullah , Alisha Baba , Muhammad Siddique , Muhammad Faryad