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Multilayer graphs are appealing mathematical tools for modeling multiple types of relationship in the data. In this paper, we aim at analyzing multilayer graphs by properly combining the information provided by individual layers, while…

机器学习 · 计算机科学 2020-10-30 Mireille El Gheche , Pascal Frossard

In this paper, numerical simulations of four-mode continuous-variable cluster states with different topologies in the framework of measurement-based quantum computation are presented. By utilizing the symplectic representation and…

量子物理 · 物理学 2026-04-28 Amin Ahadi , Saman Sarshar

Spatio-temporal forecasting of future values of spatially correlated time series is important across many cyber-physical systems (CPS). Recent studies offer evidence that the use of graph neural networks to capture latent correlations…

机器学习 · 计算机科学 2023-12-29 Minbo Ma , Jilin Hu , Christian S. Jensen , Fei Teng , Peng Han , Zhiqiang Xu , Tianrui Li

We propose an algorithm for the detection of recurrence domains of complex dynamical systems from time series. Our approach exploits the characteristic checkerboard texture of recurrence domains exhibited in recurrence plots (RP). In phase…

斑图形成与孤子 · 物理学 2013-04-12 Peter beim Graben , Axel Hutt

We propose an efficient linear-time graph-based divisive cluster analysis approach called Reductive Clustering. The approach tries to reveal the hierarchical structural information through reducing the graph into a more concise one…

人工智能 · 计算机科学 2020-09-28 Ching Tarn , Yinan Zhang , Ye Feng

Information on the grass growth over a year is essential for some models simulating the use of this resource to feed animals on pasture or at barn with hay or grass silage. Unfortunately, this information is rarely available. The challenge…

机器学习 · 计算机科学 2022-12-22 Thomas Guyet , Laurent Spillemaecker , Simon Malinowski , Anne-Isabelle Graux

Morse-Cerf theory considers a one-parameter family of smooth functions defined on a manifold and studies the evolution of their critical points with the parameter. This paper presents an adaptation of Morse-Cerf theory to a family of…

图形学 · 计算机科学 2025-07-02 Amritendu Dhar , Apratim Chakraborty , Vijay Natarajan

This simple note lays out a few observations which are well known in many ways but may not have been said in quite this way before. The basic idea is that when comparing two different Markov chains it is useful to couple them is such a way…

概率论 · 数学 2017-11-16 James E. Johndrow , Jonathan C. Mattingly

Multivariate time series forecasting often struggles to capture long-range dependencies due to fixed lookback windows. Retrieval-augmented forecasting addresses this by retrieving historical segments from memory, but existing approaches…

机器学习 · 计算机科学 2026-04-08 Junhyeok Kang , Jun Seo , Soyeon Park , Sangjun Han , Seohui Bae , Hyeokjun Choe , Soonyoung Lee

Recently, it has been proposed to analyse the literary works, plays or novels, using graphs to display the social network of their interacting characters. In this approach, the timeline of the literary work is lost, because the storyline is…

计算机与社会 · 计算机科学 2015-08-06 Amelia Carolina Sparavigna

Recently, order-preserving pattern (OPP) mining, a new sequential pattern mining method, has been proposed to mine frequent relative orders in a time series. Although frequent relative orders can be used as features to classify a time…

数据库 · 计算机科学 2024-03-08 Youxi Wu , Yufei Meng , Yan Li , Lei Guo , Xingquan Zhu , Philippe Fournier-Viger , Xindong Wu

Coordination sequences of periodic and quasiperiodic graphs are analysed. These count the number of points that can be reached from a given point of the graph by a number of steps along its bonds, thus generalising the familiar coordination…

统计力学 · 物理学 2019-07-17 Michael Baake , Uwe Grimm , Przemyslaw Repetowicz , Dieter Joseph

Graph Signal Processing (GSP) is an emerging research field that extends the concepts of digital signal processing to graphs. GSP has numerous applications in different areas such as sensor networks, machine learning, and image processing.…

信号处理 · 电气工程与系统科学 2022-07-15 Jhony H. Giraldo , Arif Mahmood , Belmar Garcia-Garcia , Dorina Thanou , Thierry Bouwmans

This paper introduces the novel class of modulated cyclostationary processes, a class of non-stationary processes exhibiting frequency coupling, and proposes a method of their estimation from repeated trials. Cyclostationary processes also…

统计方法学 · 统计学 2012-10-25 Sofia C. Olhede , Hernando Ombao

In this study, we present a method for classifying dynamical systems using a hybrid approach involving recurrence plots and a convolution neural network (CNN). This is performed by obtaining the recurrence matrix of a time series generated…

数据分析、统计与概率 · 物理学 2021-11-02 Daniel Han , Giuseppe Orlando , Sergei Fedotov

Time series and signals are attracting more attention across statistics, machine learning and pattern recognition as it appears widely in the industry especially in sensor and IoT related research and applications, but few advances has been…

机器学习 · 计算机科学 2018-08-15 Lu Liu , Zhiguang Wang

We quantify the correlation between earthquakes and use the same to distinguish between relevant causally connected earthquakes. Our correlation metric is a variation on the one introduced by Baiesi and Paczuski (2004). A network of…

地球物理 · 物理学 2010-03-25 T. R. Krishna Mohan P. G. , Revathi

Describing a time series parsimoniously is the first step to study the underlying dynamics. For a time-discrete system, a generating partition provides a compact description such that a time series and a symbolic sequence are one-to-one.…

数据分析、统计与概率 · 物理学 2018-01-09 Yoshito Hirata , Thomas Stemler , Deniz Eroglu , Norbert Marwan

Time-varying graph signal recovery has been widely used in many applications, including climate change, environmental hazard monitoring, and epidemic studies. It is crucial to choose appropriate regularizations to describe the…

信号处理 · 电气工程与系统科学 2024-05-17 Weihong Guo , Yifei Lou , Jing Qin , Ming Yan

Chronofold is a replicated data structure for versioned text. It is designed for use in collaborative editors and revision control systems. Past models of this kind either retrofitted local linear orders to a distributed system (the OT…

数据结构与算法 · 计算机科学 2020-04-27 Victor Grishchenko , Mikhail Patrakeev