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The cluster synchronization (CS) is a very important characteristic for the higher harmonic cou- pling Kuramoto system. A novel method from the symmetry transformation is provided, and it gives CS a profoundly mathematical explanation and…

Chaotic Dynamics · Physics 2015-05-27 Guihua Tian , Songhua Hu

Adaptation is to make model learn the patterns shifted from the training distribution. In general, this adaptation is formulated as the minimum entropy problem. However, the minimum entropy problem has inherent limitation -- shifted…

Artificial Intelligence · Computer Science 2025-02-12 Seok-Ung Choi , Joonghyuk Hahn , Yo-Sub Han

In this paper, a novel method to perform model-based clustering of time series is proposed. The procedure relies on two iterative steps: (i) K global forecasting models are fitted via pooling by considering the series pertaining to each…

Machine Learning · Statistics 2023-05-02 Ángel López Oriona , Pablo Montero Manso , José Antonio Vilar Fernández

Multi-view clustering (MVC) is a popular technique for improving clustering performance using various data sources. However, existing methods primarily focus on acquiring consistent information while often neglecting the issue of redundancy…

Machine Learning · Computer Science 2023-09-26 Chenhang Cui , Yazhou Ren , Jingyu Pu , Jiawei Li , Xiaorong Pu , Tianyi Wu , Yutao Shi , Lifang He

Subset selection is an important component in evolutionary multiobjective optimization (EMO) algorithms. Clustering, as a classic method to group similar data points together, has been used for subset selection in some fields. However,…

Neural and Evolutionary Computing · Computer Science 2021-08-31 Weiyu Chen , Hisao Ishibuchi , Ke Shang

This paper considers clustered multi-task compressive sensing, a hierarchical model that solves multiple compressive sensing tasks by finding clusters of tasks that leverage shared information to mutually improve signal reconstruction. The…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Alexander Lin , Demba Ba

Ensemble Learning methods combine multiple algorithms performing the same task to build a group with superior quality. These systems are well adapted to the distributed setup, where each peer or machine of the network hosts one algorithm…

Machine Learning · Computer Science 2021-10-19 Gaëlle Candel , David Naccache

A current assumption of most clustering methods is that the training data and future data are taken from the same distribution. However, this assumption may not hold in most real-world scenarios. In this paper, we propose an information…

Machine Learning · Statistics 2023-05-31 Jiangshe Zhang , Lizhen Ji , Meng Wang

Spectral clustering is one of the most popular clustering methods. However, the high computational cost due to the involved eigen-decomposition procedure can immediately hinder its applications in large-scale tasks. In this paper we use…

Machine Learning · Computer Science 2023-01-24 Yongyu Wang

In data containing heterogeneous subpopulations, classification performance benefits from incorporating the knowledge of cluster structure in the classifier. Previous methods for such combined clustering and classification either 1) are…

Machine Learning · Computer Science 2023-01-04 Shivin Srivastava , Siddharth Bhatia , Lingxiao Huang , Lim Jun Heng , Kenji Kawaguchi , Vaibhav Rajan

Progressive methods offer efficient and reasonably good solutions to the multiple sequence alignment problem. However, resulting alignments are biased by guide-trees, especially for relatively distant sequences. We propose MSARC, a new…

Quantitative Methods · Quantitative Biology 2013-07-31 Michał Modzelewski , Norbert Dojer

Supervised Learning is a way of developing Artificial Intelligence systems in which a computer algorithm is trained on labeled data inputs. Effectiveness of a Supervised Learning algorithm is determined by its performance on a given dataset…

Computers and Society · Computer Science 2024-10-29 Shubhi Bansal , Atharva Tendulkar , Nagendra Kumar

As the size $n$ of datasets become massive, many commonly-used clustering algorithms (for example, $k$-means or hierarchical agglomerative clustering (HAC) require prohibitive computational cost and memory. In this paper, we propose a…

Correlation clustering is a widely studied framework for clustering based on pairwise similarity and dissimilarity scores, but its best approximation algorithms rely on impractical linear programming relaxations. We present faster…

Data Structures and Algorithms · Computer Science 2022-06-27 Nate Veldt

Clustering may be the most fundamental problem in unsupervised learning which is still active in machine learning research because its importance in many applications. Popular methods like K-means, may suffer from instability as they are…

Optimization and Control · Mathematics 2018-02-21 Yancheng Yuan , Defeng Sun , Kim-Chuan Toh

We present the formulation and implementation of the integral- and intermediate-screened coupled-cluster method (ISSCC). The IISCC method gives a simple and rigorous integral and intermediate screening (IIS) of the coupled-cluster method…

Chemical Physics · Physics 2016-11-10 L. K. Sørensen

This work proposes a clusterization algorithm called k-Morphological Sets (k-MS), based on morphological reconstruction and heuristics. k-MS is faster than the CPU-parallel k-Means in worst case scenarios and produces enhanced…

Machine Learning · Computer Science 2022-08-31 É. O. Rodrigues , L. Torok , P. Liatsis , J. Viterbo , A. Conci

We consider the problem of clustering misaligned curves. According to our similarity measure, two curves are considered similar if they have the same shape after being aligned, and the warping function does not differ from the identity…

Methodology · Statistics 2018-01-03 Yu-Hsiang Cheng , Tzee-Ming Huang , Su-Fen Yang

One iteration of standard $k$-means (i.e., Lloyd's algorithm) or standard EM for Gaussian mixture models (GMMs) scales linearly with the number of clusters $C$, data points $N$, and data dimensionality $D$. In this study, we explore whether…

Machine Learning · Statistics 2018-04-18 Dennis Forster , Jörg Lücke

Evolutionary multi-objective clustering (EMOC), a modern clustering technique, has been widely applied to extract patterns, allowing us to analyze different aspects of complex data by considering multiple criteria. In this article, we…

Machine Learning · Computer Science 2022-04-04 Cristina Y. Morimoto , Aurora Pozo , Marcílio C. P. de Souto