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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

We propose a clustering-based approach for identifying coherent flow structures in continuous dynamical systems. We first treat a particle trajectory over a finite time interval as a high-dimensional data point and then cluster these data…

Dynamical Systems · Mathematics 2022-12-27 Wai Ming Chau , Shingyu Leung

In this work, we propose a new clustering algorithm to group nodes in networks based on second-order simplices (aka filled triangles) to leverage higher-order network interactions. We define a simplicial conductance function, which on…

Machine Learning · Computer Science 2023-03-15 Thummaluru Siddartha Reddy , Sundeep Prabhakar Chepuri , Pierre Borgnat

Modulation classification, an intermediate process between signal detection and demodulation in a physical layer, is now attracting more interest to the cognitive radio field, wherein the performance is powered by artificial intelligence…

Signal Processing · Electrical Eng. & Systems 2020-09-07 Thien Huynh-The , Van-Sang Doan , Cam-Hao Hua , Quoc-Viet Pham , Dong-Seong Kim

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

In complex networks, interactions between multiple agents give rise to an array of intricate global dynamics, ranging from synchronization to cluster formations. Decoding the connectivity structure as well as the types of interactions from…

Systems and Control · Electrical Eng. & Systems 2023-10-25 Shicheng Li , Bharat Singhal , Jr-Shin Li

Given the large size and complexity of most biochemical regulation and signaling networks, there is a non-trivial relationship between the micro-level logic of component interactions and the observed macro-dynamics. Here we address this…

Molecular Networks · Quantitative Biology 2023-04-19 Thomas Parmer , Luis M. Rocha

Dynamical systems on networks with adaptive couplings appear naturally in real-world systems such as power grid networks, social networks as well as neuronal networks. We investigate a paradigmatic system of adaptively coupled phase…

Adaptation and Self-Organizing Systems · Physics 2019-12-20 Rico Berner , Eckehard Schöll , Serhiy Yanchuk

We present a novel clustering approach for moving object trajectories that are constrained by an underlying road network. The approach builds a similarity graph based on these trajectories then uses modularity-optimization hiearchical graph…

Machine Learning · Statistics 2012-10-08 Mohamed Khalil El Mahrsi , Fabrice Rossi

The proposed distributed dynamic clustering algorithm enables to group agents based on their pre-selected feature states. The clusters are determined by comparing the distance of the agents' current feature states with average estimates of…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Runfan Zhang , Branislav Hredzak

The paper presents a novel type of capsule network (CAP) that uses custom-defined neural network (NN) layers for blind classification of digitally modulated signals using their in-phase/quadrature (I/Q) components. The custom NN layers of…

Signal Processing · Electrical Eng. & Systems 2023-08-15 John A. Snoap , Dimitrie C. Popescu , Chad M. Spooner

We propose a new class of models for variable clustering called Asymptotic Independent block (AI-block) models, which defines population-level clusters based on the independence of the maxima of a multivariate stationary mixing random…

Statistics Theory · Mathematics 2024-07-08 Alexis Boulin , Elena Di Bernardino , Thomas Laloë , Gwladys Toulemonde

We present a new cycle flow based method for finding fuzzy partitions of weighted directed networks coming from time series data. We show that this method overcomes essential problems of most existing clustering approaches, which tend to…

Data Analysis, Statistics and Probability · Physics 2017-01-20 Ralf Banisch , Nataša Djurdjevac Conrad

We review and improve a recently introduced method for the detection of communities in complex networks. This method combines spectral properties of some matrices encoding the network topology, with well known hierarchical clustering…

Physics and Society · Physics 2009-11-11 L. Donetti , M. A. Munoz

Roughly speaking, clustering evolving networks aims at detecting structurally dense subgroups in networks that evolve over time. This implies that the subgroups we seek for also evolve, which results in many additional tasks compared to…

Social and Information Networks · Computer Science 2014-01-16 Tanja Hartmann , Andrea Kappes , Dorothea Wagner

In order to develop systems capable of modeling artificial life, we need to identify, which systems can produce complex behavior. We present a novel classification method applicable to any class of deterministic discrete space and time…

Cellular Automata and Lattice Gases · Physics 2020-09-01 Barbora Hudcova , Tomas Mikolov

In this paper a simple but efficient real-time detecting algorithm is proposed for tracking community structure of dynamic networks. Community structure is intuitively characterized as divisions of network nodes into subgroups, within which…

Social and Information Networks · Computer Science 2014-07-11 Jiaxing Shang , Lianchen Liu , Feng Xie , Zhen Chen , Jiajia Miao , Xuelin Fang , Cheng Wu

A new approach to clustering, based on the physical properties of inhomogeneous coupled chaotic maps, is presented. A chaotic map is assigned to each data-point and short range couplings are introduced. The stationary regime of the system…

Statistical Mechanics · Physics 2009-10-31 L. Angelini , F. De Carlo , C. Marangi , M. Pellicoro , S. Stramaglia

We formulate a novel technique for the detection of functional clusters in discrete event data. The advantage of this algorithm is that no prior knowledge of the number of functional groups is needed, as our procedure progressively combines…

Neurons and Cognition · Quantitative Biology 2015-05-13 S. Feldt , J. Waddell , V. L. Hetrick , J. D. Berke , M. Zochowski

We introduce CLINE (Computational Learning and Identification of Nullclines), a neural network-based method that uncovers the hidden structure of nullclines from oscillatory time series data. Unlike traditional approaches aiming at direct…

Machine Learning · Computer Science 2025-03-21 Bartosz Prokop , Jimmy Billen , Nikita Frolov , Lendert Gelens
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