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We propose a novel method to accelerate Lloyd's algorithm for K-Means clustering. Unlike previous acceleration approaches that reduce computational cost per iterations or improve initialization, our approach is focused on reducing the…

Machine Learning · Computer Science 2018-05-29 Juyong Zhang , Yuxin Yao , Yue Peng , Hao Yu , Bailin Deng

Recent machine learning methods use increasingly large deep neural networks to achieve state of the art results in various tasks. The gains in performance come at the cost of a substantial increase in computation and storage requirements.…

Machine Learning · Computer Science 2019-03-26 Yoni Choukroun , Eli Kravchik , Fan Yang , Pavel Kisilev

Multi-view clustering (MVC) aims to integrate complementary information from multiple views to enhance clustering performance. Late Fusion Multi-View Clustering (LFMVC) has shown promise by synthesizing diverse clustering results into a…

Machine Learning · Computer Science 2024-12-25 Liang Du , Henghui Jiang , Xiaodong Li , Yiqing Guo , Yan Chen , Feijiang Li , Peng Zhou , Yuhua Qian

Spectral clustering is one of the most important algorithms in data mining and machine intelligence; however, its computational complexity limits its application to truly large scale data analysis. The computational bottleneck in spectral…

Machine Learning · Computer Science 2015-05-13 Christos Boutsidis , Alex Gittens , Prabhanjan Kambadur

We introduce a new erasure decoder that applies to arbitrary quantum LDPC codes. Dubbed the cluster decoder, it generalizes the decomposition idea of Vertical-Horizontal (VH) decoding introduced by Connelly et al. in 2022. Like the VH…

Information Theory · Computer Science 2024-12-13 Hanwen Yao , Mert Gökduman , Henry D. Pfister

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

Machine Learning · Computer Science 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

$k$-Clustering in $\mathbb{R}^d$ (e.g., $k$-median and $k$-means) is a fundamental machine learning problem. While near-linear time approximation algorithms were known in the classical setting for a dataset with cardinality $n$, it remains…

Quantum Physics · Physics 2023-06-06 Yecheng Xue , Xiaoyu Chen , Tongyang Li , Shaofeng H. -C. Jiang

Tensor factorizations are computationally hard problems, and in particular, are often significantly harder than their matrix counterparts. In case of Boolean tensor factorizations -- where the input tensor and all the factors are required…

Numerical Analysis · Computer Science 2016-09-19 Saskia Metzler , Pauli Miettinen

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 of time series based on their underlying dynamics is keeping attracting researchers due to its impacts on assisting complex system modelling. Most current time series clustering methods handle only scalar time series, treat them…

Machine Learning · Statistics 2025-05-21 Zuogong Yue , Xinyi Wang , Victor Solo

Recent work on deep clustering has found new promising methods also for constrained clustering problems. Their typically pairwise constraints often can be used to guide the partitioning of the data. Many problems however, feature…

Machine Learning · Computer Science 2023-05-22 Jonas K. Falkner , Lars Schmidt-Thieme

Spectral clustering is a fast and popular algorithm for finding clusters in networks. Recently, Chaudhuri et al. (2012) and Amini et al.(2012) proposed inspired variations on the algorithm that artificially inflate the node degrees for…

Machine Learning · Statistics 2013-09-18 Tai Qin , Karl Rohe

In the past few years powerful generalizations to the Euclidean k-means problem have been made, such as Bregman clustering [7], co-clustering (i.e., simultaneous clustering of rows and columns of an input matrix) [9,18], and tensor…

Data Structures and Algorithms · Computer Science 2009-11-09 Stefanie Jegelka , Suvrit Sra , Arindam Banerjee

Text Clustering is a text mining technique which divides the given set of text documents into significant clusters. It is used for organizing a huge number of text documents into a well-organized form. In the majority of the clustering…

Information Retrieval · Computer Science 2015-03-12 G. Hannah Grace , Kalyani Desikan

We consider a generalized version of the correlation clustering problem, defined as follows. Given a complete graph $G$ whose edges are labeled with $+$ or $-$, we wish to partition the graph into clusters while trying to avoid errors: $+$…

Data Structures and Algorithms · Computer Science 2016-05-25 Gregory J. Puleo , Olgica Milenkovic

Deep neural networks with lower precision weights and operations at inference time have advantages in terms of the cost of memory space and accelerator power. The main challenge associated with the quantization algorithm is maintaining…

Computer Vision and Pattern Recognition · Computer Science 2022-02-21 Shih-Ting Lin , Zhaofang Li , Yu-Hsiang Cheng , Hao-Wen Kuo , Chih-Cheng Lu , Kea-Tiong Tang

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this…

Machine Learning · Statistics 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

This paper deals with unsupervised clustering with feature selection. The problem is to estimate both labels and a sparse projection matrix of weights. To address this combinatorial non-convex problem maintaining a strict control on the…

Machine Learning · Computer Science 2019-05-27 Cyprien Gilet , Marie Deprez , Jean-Baptiste Caillau , Michel Barlaud

The problem of constrained $k$-center clustering has attracted significant attention in the past decades. In this paper, we study balanced $k$-center cluster where the size of each cluster is constrained by the given lower and upper bounds.…

Computational Geometry · Computer Science 2017-04-11 Hu Ding

Mixed-precision quantization offers superior performance to fixed-precision quantization. It has been widely used in signal processing, communication systems, and machine learning. In mixed-precision quantization, bit allocation is…

Signal Processing · Electrical Eng. & Systems 2025-06-17 Yiming Fang , Li Chen , Yunfei Chen , Weidong Wang , Changsheng You