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In this article, we revisit and expand our prior work on graph similarity. As with our earlier work, we focus on a view of similarity which does not require node correspondence between graphs under comparison. Our work is suited to the…

Discrete Mathematics · Computer Science 2025-12-10 Pierre Miasnikof , Alexander Y. Shetopaloff

The application of network analysis has found great success in a wide variety of disciplines; however, the popularity of these approaches has revealed the difficulty in handling networks whose complexity scales rapidly. One of the main…

Methodology · Statistics 2023-10-24 Anna Malinovskaya , Philipp Otto

An exciting recent development is the uptake of deep neural networks in many scientific fields, where the main objective is outcome prediction with the black-box nature. Significance testing is promising to address the black-box issue and…

Machine Learning · Statistics 2022-06-22 Ben Dai , Xiaotong Shen , Wei Pan

Identifying differences in networks has become a canonical problem in many biological applications. Here, we focus on testing whether two Gaussian graphical models are the same. Existing methods try to accomplish this goal by either…

Methodology · Statistics 2019-10-01 Sen Zhao , Stephen Ottinger , Suzanne Peck , Christine Mac Donald , Ali Shojaie

When investigating the spreading of a piece of information or the diffusion of an innovation, we often lack information on the underlying propagation network. Reconstructing the hidden propagation paths based on the observed diffusion…

Social and Information Networks · Computer Science 2019-04-05 Hao Liao , Ming-Kai Liu , Manuel Sebastian Mariani , Mingyang Zhou , Xingtong Wu

We use an artificial neural network to analyze asymmetric noisy random telegraph signals (RTSs), and extract underlying transition rates. We demonstrate that a long short-term memory neural network can vastly outperform conventional…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 N. J. Lambert , A. A. Esmail , M. Edwards , A. J. Ferguson , H. G. L. Schwefel

Dynamic networks, also called network streams, are an important data representation that applies to many real-world domains. Many sets of network data such as e-mail networks, social networks, or internet traffic networks are best…

Social and Information Networks · Computer Science 2014-11-17 Timothy La Fond , Jennifer Neville , Brian Gallagher

Persistent homology has been applied to brain network analysis for finding the shape of brain networks across multiple thresholds. In the persistent homology, the shape of networks is often quantified by the sequence of $k$-dimensional…

Quantitative Methods · Quantitative Biology 2018-11-13 Hyekyoung Lee , Moo K. Chung , Hongyoon Choi , Hyejin Kang , Seunggyun Ha , Yu Kyeong Kim , Dong Soo Lee

In this work we explore the possibility of using Recurrence Quantification Analysis (RQA) in astronomical high-contrast imaging to statistically discriminate the signal of faint objects from speckle noise. To this end, we tested RQA on a…

Instrumentation and Methods for Astrophysics · Physics 2018-11-28 M. Stangalini , G. Li Causi , F. Pedichini , S. Antoniucci , M. Mattioli , J. Christou , G. Consolini , D. Hope , S. M. Jefferies , R. Piazzesi , V. Testa

The fundamental frequency (F0) contour of speech is a key aspect to represent speech prosody that finds use in speech and spoken language analysis such as voice conversion and speech synthesis as well as speaker and language identification.…

Audio and Speech Processing · Electrical Eng. & Systems 2018-05-09 Akihiro Kato , Tomi Kinnunen

We propose an extension to time series with several simultaneously measured variables of the nonlinearity test, which combines the redundancy -- linear redundancy approach with the surrogate data technique. For several variables various…

comp-gas · Physics 2009-10-28 Milan Paluš

We introduce a quantitative method to compare arbitrary pairs of graph centrality measures, based on the ordering of vertices induced by them. The proposed method is conceptually simple, mathematically elegant, and allows for a quantitative…

Social and Information Networks · Computer Science 2026-01-26 G. Exarchakos , R. van der Hofstad , O. Nagy , M. Pandey

The characterisation of quantum networks is fundamental to understanding how energy and information propagates through complex systems, with applications in control, communication, error mitigation and energy transfer. In this work, we…

Quantum Physics · Physics 2025-09-19 Conall J. Campbell , Matthew Mackinnon , Mauro Paternostro , Diana A. Chisholm

High-dimensional auto-regressive models provide a natural way to model influence between $M$ actors given multi-variate time series data for $T$ time intervals. While there has been considerable work on network estimation, there is limited…

Statistics Theory · Mathematics 2018-12-13 Lili Zheng , Garvesh Raskutti

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

Time series forecasting has received a lot of attention, with recurrent neural networks (RNNs) being one of the widely used models due to their ability to handle sequential data. Previous studies on RNN time series forecasting, however,…

Machine Learning · Computer Science 2024-04-29 Christopher Salazar , Ashis G. Banerjee

Diffractive neural networks hold great promise for applications requiring intensive computational processing. Considerable attention has focused on diffractive networks for either spatially coherent or spatially incoherent illumination.…

Optics · Physics 2025-03-25 Matan Kleiner , Lior Michaeli , Tomer Michaeli

We investigate searching efficiency of different kinds of random walk on complex networks which rely on local information and one-step memory. For the studied navigation strategies we obtained theoretical and numerical values for the graph…

Computers and Society · Computer Science 2024-11-15 Miroslav Mirchev , Lasko Basnarkov , Igor Mishkovski

Feature selection has remained a daunting challenge in machine learning and artificial intelligence, where increasingly complex, high-dimensional datasets demand principled strategies for isolating the most informative predictors. Despite…

Machine Learning · Statistics 2025-12-02 Mousam Sinha , Tirtha Sarathi Ghosh , Ridam Pal

Recently, different approaches have been proposed for studying basic properties of time series from a complex network perspective. In this work, the corresponding potentials and limitations of networks based on recurrences in phase space…

Chaotic Dynamics · Physics 2010-01-27 Reik V. Donner , Yong Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths