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Particle-in-cell (PIC) is the most used algorithm to perform self-consistent tracking of intense charged particle beams. It is based on depositing macro-particles on a grid, and subsequently solving on it the Poisson equation. It is well…

Accelerator Physics · Physics 2016-01-27 Frederik Kesting , Giuliano Franchetti

Time series clustering is a central machine learning task with applications in many fields. While the majority of the methods focus on real-valued time series, very few works consider series with discrete response. In this paper, the…

Machine Learning · Statistics 2023-04-25 Ángel López Oriona , Christian Weiss , José Antonio Vilar

In this paper, we deal with the problem of curves clustering. We propose a nonparametric method which partitions the curves into clusters and discretizes the dimensions of the curve points into intervals. The cross-product of these…

Machine Learning · Statistics 2014-07-03 Marc Boullé , Romain Guigourès , Fabrice Rossi

Fuzzy clustering, which allows an article to belong to multiple clusters with soft membership degrees, plays a vital role in analyzing publication data. This problem can be formulated as a constrained optimization model, where the goal is…

Optimization and Control · Mathematics 2025-06-05 Vu Thi Huong , Ida Litzel , Thorsten Koch

Clustering is an extensive research area in data science. The aim of clustering is to discover groups and to identify interesting patterns in datasets. Crisp (hard) clustering considers that each data point belongs to one and only one…

Machine Learning · Computer Science 2018-08-02 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont , Sylvie Yona Waksman

The study of chaotic mixing is important for its potential to improve our understanding of fluid systems. Contour advection simulations provide a good model of the phenomenon by tracking the evolution of one or more contours or isolines of…

Atmospheric and Oceanic Physics · Physics 2012-02-28 Peter Mills

Particle Filter(PF) is used extensively for estimation of target Non-linear and Non-gaussian state. However, its performance suffers due to inherent problem of sample degeneracy and impoverishment. In order to address this, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Kapil Sharma , Gurjit Singh Walia , Ashish Kumar , Astitwa Saxena , Kuldeep Singh

The decomposition of sounds into sines, transients, and noise is a long-standing research problem in audio processing. The current solutions for this three-way separation detect either horizontal and vertical structures or anisotropy and…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-01 Leonardo Fierro , Vesa Välimäki

Proteins' fuzziness are features for communicating changes in cell signaling instigated by binding with secondary messengers, such as calcium ions, associated with the coordination of muscle contraction, neurotransmitter release, and gene…

Quantitative Methods · Quantitative Biology 2024-07-25 Pengzhi Zhang , Jules Nde , Yossi Eliaz , Nathaniel Jennings , Piotr Cieplak , Margaret. S. Cheung

Clustering is the technique to partition data according to their characteristics. Data that are similar in nature belong to the same cluster [1]. There are two types of evaluation methods to evaluate clustering quality. One is an external…

Machine Learning · Computer Science 2024-09-05 Anupriya Vysala , Joseph Gomes

Spectral clustering is one of the most popular algorithms to group high dimensional data. It is easy to implement and computationally efficient. Despite its popularity and successful applications, its theoretical properties have not been…

Statistics Theory · Mathematics 2020-08-07 Matthias Löffler , Anderson Y. Zhang , Harrison H. Zhou

Forthcoming large galaxy cluster surveys will yield tight constraints on cosmological models. It has been shown that in an idealized survey, containing > 10,000 clusters, statistical errors on dark energy and other cosmological parameters…

Astrophysics · Physics 2008-11-26 Joshua D. Younger , Zoltan Haiman , Greg L. Bryan , Sheng Wang

Several methods have been proposed to estimate the number of clusters in a dataset; the basic ideal behind all of them has been to study an index that measures inter-cluster separation and intra-cluster cohesion over a range of cluster…

Computer Vision and Pattern Recognition · Computer Science 2016-01-12 Bhaskar Mukhoty , Ruchir Gupta , Y. N. Singh

In this work we describe the implementation and analysis of different optimization algorithms used for finding the best set of parameters for a Fuzzy Inference System intended to classify solar flares. The parameters will be identified…

Both FCM and PCM clustering methods have been widely applied to pattern recognition and data clustering. Nevertheless, FCM is sensitive to noise and PCM occasionally generates coincident clusters. PFCM is an extension of the PCM model by…

Genomics · Quantitative Biology 2021-11-25 Shahabeddin Sotudian , Mohammad Hossein Fazel Zarandi

Imbalanced learning is important and challenging since the problem of the classification of imbalanced datasets is prevalent in machine learning and data mining fields. Sampling approaches are proposed to address this issue, and…

Artificial Intelligence · Computer Science 2021-11-03 Fan Li , Xiaoheng Zhang , Pin Wang , Yongming Li

Partitioning large networks into stable clusters of synchronized nodes is a challenging task. Recent approaches based on spectral analysis can provide exact results on specific dynamics but remain unfeasible for very large networks.…

Physics and Society · Physics 2026-01-23 Massimo Ostilli

In computational nanodosimetry, Monte Carlo Track Structure (MCTS) simulations are employed to calculate ionisation cluster size distributions (ICSDs), which are crucial for characterising mixed radiation fields at the nanoscale. The…

Computational Physics · Physics 2025-07-15 João F. Canhoto , Yann Perrot , Reinhard Schulte , Ana Belchior , Carmen Villagrasa

The nondispersive per-sample channel model for the optical fiber channel is considered. Under certain smoothness assumptions, the problem of finding the minimum amount of noise energy that can render two different input points…

Information Theory · Computer Science 2020-10-26 Reza Rafie Borujeny , Frank R. Kschischang

A fuzzy logic based classification engine has been developed for classifying mass spectra obtained with an imaging internal source Fourier transform mass spectrometer (I^2LD-FTMS). Traditionally, an operator uses the relative abundance of…

Artificial Intelligence · Computer Science 2007-05-23 Timothy R. McJunkin , Jill R. Scott
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