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We consider the problem of identifying multiway block structure from a large noisy tensor. Such problems arise frequently in applications such as genomics, recommendation system, topic modeling, and sensor network localization. We propose a…

Machine Learning · Statistics 2021-01-05 Miaoyan Wang , Yuchen Zeng

Many clustering algorithms when the data are curves or functions have been recently proposed. However, the presence of contamination in the sample of curves can influence the performance of most of them. In this work we propose a robust,…

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

Machine Learning · Computer Science 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

In this work a robust clustering algorithm for stationary time series is proposed. The algorithm is based on the use of estimated spectral densities, which are considered as functional data, as the basic characteristic of stationary time…

Tensor network algorithms seek to minimize correlations to compress the classical data representing quantum states. Tensor network algorithms and similar tools---called tensor network methods---form the backbone of modern numerical methods…

Quantum Physics · Physics 2021-04-08 Andrey Kardashin , Alexey Uvarov , Jacob Biamonte

Identification of the clusters from an unlabeled data set is one of the most important problems in Unsupervised Machine Learning. The state of the art clustering algorithms are based on either the statistical properties or the geometric…

Machine Learning · Computer Science 2018-01-04 Sambarta Dasgupta , Keivan Ebrahimi , Umesh Vaidya

Tensor network (TN), a young mathematical tool of high vitality and great potential, has been undergoing extremely rapid developments in the last two decades, gaining tremendous success in condensed matter physics, atomic physics, quantum…

Computational Physics · Physics 2020-01-31 Shi-Ju Ran , Emanuele Tirrito , Cheng Peng , Xi Chen , Luca Tagliacozzo , Gang Su , Maciej Lewenstein

This paper introduces a new clustering technique, called {\em dimensional clustering}, which clusters each data point by its latent {\em pointwise dimension}, which is a measure of the dimensionality of the data set local to that point.…

Machine Learning · Statistics 2018-05-29 Shohei Hidaka , Neeraj Kashyap

Conventional clustering methods based on pairwise affinity usually suffer from the concentration effect while processing huge dimensional features yet low sample sizes data, resulting in inaccuracy to encode the sample proximity and…

Machine Learning · Computer Science 2023-02-06 Hongmin Cai , Fei Qi , Junyu Li , Yu Hu , Yue Zhang , Yiu-ming Cheung , Bin Hu

Clustering is a fundamental problem in machine learning where distance-based approaches have dominated the field for many decades. This set of problems is often tackled by partitioning the data into K clusters where the number of clusters…

We present an algorithm of clustering of many-dimensional objects, where only the distances between objects are used. Centers of classes are found with the aid of neuron-like procedure with lateral inhibition. The result of clustering does…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Leonid B. Litinskii , Dmitry E. Romanov

Efficient extraction of useful knowledge from these data is still a challenge, mainly when the data is distributed, heterogeneous and of different quality depending on its corresponding local infrastructure. To reduce the overhead cost,…

Databases · Computer Science 2017-04-17 Nhien-An Le-Khac , M-Tahar Kechadi

Subspace clustering refers to the task of finding a multi-subspace representation that best fits a collection of points taken from a high-dimensional space. This paper introduces an algorithm inspired by sparse subspace clustering (SSC) [In…

Machine Learning · Computer Science 2014-05-26 Mahdi Soltanolkotabi , Ehsan Elhamifar , Emmanuel J. Candès

Objective: The main objective of this paper is to construct a distributed clustering algorithm based upon spatial data correlation among sensor nodes and perform data accuracy for each distributed cluster at their respective cluster head…

Networking and Internet Architecture · Computer Science 2011-08-15 Jyotirmoy Karjee , H. S Jamadagni

Clustering is a widely used unsupervised learning method for finding structure in the data. However, the resulting clusters are typically presented without any guarantees on their robustness; slightly changing the used data sample or…

Machine Learning · Statistics 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou

Density-based clustering is the task of discovering high-density regions of entities (clusters) that are separated from each other by contiguous regions of low-density. DBSCAN is, arguably, the most popular density-based clustering…

Machine Learning · Computer Science 2018-11-20 Stiphen Chowdhury , Renato Cordeiro de Amorim

We introduce Qlustering, a quantum-inspired algorithm for unsupervised learning that leverages network-based quantum transport to perform data clustering. In contrast to traditional distance-based methods, Qlustering treats the steady-state…

Quantum Physics · Physics 2025-10-28 Shmuel Lorber , Yonatan Dubi

Convolutional neural networks (CNNs) have gained widespread usage across various fields such as weather forecasting, computer vision, autonomous driving, and medical image analysis due to its exceptional ability to extract spatial…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Alifu Xiafukaiti , Devanshu Garg , Aruto Hosaka , Koichi Yanagisawa , Yuichiro Minato , Tsuyoshi Yoshida

Clustering is a fundamental machine learning task which has been widely studied in the literature. Classic clustering methods follow the assumption that data are represented as features in a vectorized form through various representation…

Machine Learning · Computer Science 2022-06-16 Sheng Zhou , Hongjia Xu , Zhuonan Zheng , Jiawei Chen , Zhao li , Jiajun Bu , Jia Wu , Xin Wang , Wenwu Zhu , Martin Ester

We propose a cluster-based quantization method to convert pre-trained full precision weights into ternary weights with minimal impact on the accuracy. In addition, we also constrain the activations to 8-bits thus enabling sub 8-bit full…

Machine Learning · Computer Science 2017-02-02 Naveen Mellempudi , Abhisek Kundu , Dipankar Das , Dheevatsa Mudigere , Bharat Kaul
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