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We survey agglomerative hierarchical clustering algorithms and discuss efficient implementations that are available in R and other software environments. We look at hierarchical self-organizing maps, and mixture models. We review grid-based…

Information Retrieval · Computer Science 2011-05-03 Fionn Murtagh , Pedro Contreras

In a recent paper (Bogoyavlenskiy V A 2002 \JPA \textbf{35} 2533), an algorithm aiming to generate isotropic clusters of the on-lattice diffusion-limited aggregation (DLA) model was proposed. The procedure consists of aggregation…

Statistical Mechanics · Physics 2007-05-23 S. G. Alves , S. C. Ferreira

Distributed learning paradigms, such as federated and decentralized learning, allow for the coordination of models across a collection of agents, and without the need to exchange raw data. Instead, agents compute model updates locally based…

Machine Learning · Computer Science 2022-04-04 Stefan Vlaski , Christian Schroth , Michael Muma , Abdelhak M. Zoubir

We study the efficiency of algorithms simulating a system evolving with Hamiltonian $H=\sum_{j=1}^m H_j$. We consider high order splitting methods that play a key role in quantum Hamiltonian simulation. We obtain upper bounds on the number…

Quantum Physics · Physics 2010-10-12 Anargyros Papageorgiou , Chi Zhang

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

We discuss recently introduced numerical linked-cluster (NLC) algorithms that allow one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. We…

Statistical Mechanics · Physics 2007-06-25 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

If a stochastic system during some periods of its evolution can be divided into non-interacting parts, the kinetics of each part can be simulated independently. We show that this can be used in the development of efficient Monte Carlo…

Materials Science · Physics 2009-11-13 V. I. Tokar , H. Dreyssé

The Expectation-Maximization (EM) algorithm is one of the most popular methods used to solve the problem of parametric distribution-based clustering in unsupervised learning. In this paper, we propose to analyze a generalized EM (GEM)…

Optimization and Control · Mathematics 2021-05-19 Sarthak Chatterjee , Orlando Romero , Sérgio Pequito

We consider the problem of decentralized clustering and estimation over multi-task networks, where agents infer and track different models of interest. The agents do not know beforehand which model is generating their own data. They also do…

Optimization and Control · Mathematics 2017-05-24 Sahar Khawatmi , Ali H. Sayed , Abdelhak M. Zoubir

In cluster analysis interest lies in probabilistically capturing partitions of individuals, items or observations into groups, such that those belonging to the same group share similar attributes or relational profiles. Bayesian posterior…

Methodology · Statistics 2017-03-23 Riccardo Rastelli , Nial Friel

Recently, hybrid bias expansions have emerged as a powerful approach to modelling the way in which galaxies are distributed in the Universe. Similarly, field-level emulators have recently become possible thanks to advances in machine…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-15 Marcos Pellejero Ibanez , Raul E. Angulo , Drew Jamieson , Yin Li

Simulation has become the evaluation method of choice for many areas of distributing computing research. However, most existing simulation packages have several limitations on the size and complexity of the system being modeled. Fine…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-01 Dobre Ciprian , Cristea Valentin , Iosif C. Legrand

Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic…

Databases · Computer Science 2012-06-04 Mohamed A. El-Zawawy

In this paper we adapt online estimation strategies to perform model-based clustering on large networks. Our work focuses on two algorithms, the first based on the SAEM algorithm, and the second on variational methods. These two strategies…

Applications · Statistics 2010-11-11 Hugo Zanghi , Franck Picard , Vincent Miele , Christophe Ambroise

This paper proposes a simple, automatic and efficient clustering algorithm, namely, Automatic Merging for Optimal Clusters (AMOC) which aims to generate nearly optimal clusters for the given datasets automatically. The AMOC is an extension…

Computer Vision and Pattern Recognition · Computer Science 2011-09-07 K. Karteeka Pavan , Allam Appa Rao , A. V. Dattatreya Rao

Recently several gain-dissipative platforms based on the networks of optical parametric oscillators, lasers, and various non-equilibrium Bose-Einstein condensates have been proposed and realised as analogue Hamiltonian simulators for…

Classical Physics · Physics 2018-11-16 Kirill P. Kalinin , Natalia G. Berloff

Mobile edge computing and fog computing are promising techniques providing computation service closer to users to achieve lower latency. In this work, we study the optimal offloading strategy in the three-tier federated computation…

Networking and Internet Architecture · Computer Science 2021-07-13 Ren-Hung Hwang , Yuan-Cheng Lai , Ying-Dar Lin

Many partitioning methods may be used to partition a network into smaller clusters while minimizing the number of cuts needed. However, other considerations must also be taken into account when a network represents a real system such as a…

Physics and Society · Physics 2015-03-19 Ibrahim Abou Hamad , Per Arne Rikvold , Svetlana V. Poroseva

In this paper, a simulation-based method for the analysis and design of abstracted models for a stochastic hybrid system is proposed. The accuracy of a model is evaluated in terms of its capability to reproduce the system output for all the…

Systems and Control · Computer Science 2014-05-29 M. Prandini , S. Garatti , R. Vignali

Most decision tree induction algorithms are based on a greedy top-down recursive partitioning strategy for tree growth. In this paper, we propose several methods for induction of decision trees and their ensembles based on evolutionary…

Neural and Evolutionary Computing · Computer Science 2020-02-04 Evgeny Dolotov , Nikolai Zolotykh