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Related papers: Graph-Based Multivariate Multiscale Dispersion Ent…

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We introduce a novel method, called Dispersion Entropy for Graph Signals, $DE_G$, as a powerful tool for analysing the irregularity of signals defined on graphs. We demonstrate the effectiveness of $DE_G$ in detecting changes in the…

Combinatorics · Mathematics 2023-04-03 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

Objective: Due to the non-linearity of numerous biomedical signals, non-linear analysis of multi-channel time series, notably multivariate multiscale entropy (mvMSE), has been extensively used in biomedical signal processing. However, mvMSE…

Quantitative Methods · Quantitative Biology 2017-04-14 Hamed Azami , Alberto Fernandez , Javier Escudero

Using a graph-based approach, we propose a multiscale permutation entropy to explore the complexity of multivariate time series over multiple time scales. This multivariate multiscale permutation entropy (MPEG) incorporates the interaction…

Data Analysis, Statistics and Probability · Physics 2022-10-18 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

Many multivariate time series anomaly detection frameworks have been proposed and widely applied. However, most of these frameworks do not consider intrinsic relationships between variables in multivariate time series data, thus ignoring…

Machine Learning · Computer Science 2025-08-11 Falih Gozi Febrinanto , Kristen Moore , Chandra Thapa , Mujie Liu , Vidya Saikrishna , Jiangang Ma , Feng Xia

Entropy metrics are nonlinear measures to quantify the complexity of time series. Among them, permutation entropy is a common metric due to its robustness and fast computation. Multivariate entropy metrics techniques are needed to analyse…

Combinatorics · Mathematics 2022-03-02 John Stewart Fabila-Carrasco , Chao Tan , Javier Escudero

To quantify the complexity of a system, entropy-based methods have received considerable critical attentions in real-world data analysis. Among numerous entropy algorithms, amplitude-based formulas, represented by Sample Entropy, suffer…

Signal Processing · Electrical Eng. & Systems 2022-01-12 Hongjian Xiao , Danilo P. Mandic

This work presents a novel framework for time series analysis using entropic measures based on the kernel density estimate (KDE) of the time series' Takens' embeddings. Using this framework we introduce two distinct analytical tools: (1) a…

Information Theory · Computer Science 2025-12-05 Audun Myers , Bill Kay , Iliana Alvarez , Michael Hughes , Cameron Mackenzie , Carlos Ortiz Marrero , Emily Ellwein , Erik Lentz

The von Neumann graph entropy (VNGE) can be used as a measure of graph complexity, which can be the measure of information divergence and distance between graphs. However, computing VNGE is extensively demanding for a large-scale graph. We…

Information Theory · Computer Science 2019-07-23 Hayoung Choi , Jinglian He , Hang Hu , Yuanming Shi

Multivariate time series forecasting requires simultaneously modeling temporal patterns and cross-variate dependencies. Channel-independent methods such as PatchTST excel at temporal modeling but ignore variable correlations, while pure…

Machine Learning · Computer Science 2025-10-24 Yuhang Wang

Random walk based distance measures for graphs such as commute-time distance are useful in a variety of graph algorithms, such as clustering, anomaly detection, and creating low dimensional embeddings. Since such measures hinge on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-16 Aniruddha Basak , Kamalika Das , Ole J. Mengshoel

Data generation is a fundamental research problem in data management due to its diverse use cases, ranging from testing database engines to data-specific applications. However, real-world entities often involve complex interactions that…

Databases · Computer Science 2024-12-13 Fan Li , Xiaoyang Wang , Dawei Cheng , Cong Chen , Ying Zhang , Xuemin Lin

Anomaly detection in high-dimensional time series data is pivotal for numerous industrial applications. Recent advances in multivariate time series anomaly detection (TSAD) have increasingly leveraged graph structures to model…

Machine Learning · Computer Science 2025-09-23 Jiazhen Chen , Mingbin Feng , Tony S. Wirjanto

Learning to generate graphs is challenging as a graph is a set of pairwise connected, unordered nodes encoding complex combinatorial structures. Recently, several works have proposed graph generative models based on normalizing flows or…

Machine Learning · Computer Science 2023-06-21 Xiaohui Chen , Yukun Li , Aonan Zhang , Li-Ping Liu

Knowledge graph embedding, which aims to learn the low-dimensional representations of entities and relationships, has attracted considerable research efforts recently. However, most knowledge graph embedding methods focus on the structural…

Machine Learning · Computer Science 2020-07-23 Yonghui Xu , Shengjie Sun , Yuan Miao , Dong Yang , Xiaonan Meng , Yi Hu , Ke Wang , Hengjie Song , Chuanyan Miao

The staggering amount of streaming time series coming from the real world calls for more efficient and effective online modeling solution. For time series modeling, most existing works make some unrealistic assumptions such as the input…

Machine Learning · Computer Science 2016-09-27 Zhifei Zhang , Yang Song , Wei Wang , Hairong Qi

Time series data analysis is prevalent across various domains, including finance, healthcare, and environmental monitoring. Traditional time series clustering methods often struggle to capture the complex temporal dependencies inherent in…

Machine Learning · Computer Science 2024-11-27 Amirabbas Afzali , Hesam Hosseini , Mohmmadamin Mirzai , Arash Amini

Real-time multimodal inference on resource-constrained edge devices is essential for applications such as autonomous driving, human-computer interaction, and mobile health. However, prior work often overlooks the tight coupling between…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Runxi Huang , Mingxuan Yu , Mingyu Tsoi , Xiaomin Ouyang

Finding frequently occurring subgraph patterns or network motifs in neural architectures is crucial for optimizing efficiency, accelerating design, and uncovering structural insights. However, as the subgraph size increases,…

Machine Learning · Computer Science 2026-02-04 Yikang Yang , Zhengxin Yang , Minghao Luo , Luzhou Peng , Hongxiao Li , Wanling Gao , Lei Wang , Jianfeng Zhan

To fully exploit the performance potential of modern multi-core processors, machine learning and data mining algorithms for big data must be parallelized in multiple ways. Today's CPUs consist of multiple cores, each following an…

Machine Learning · Computer Science 2020-11-09 Christian Böhm , Claudia Plant

Representing graph data in a low-dimensional space for subsequent tasks is the purpose of attributed graph embedding. Most existing neural network approaches learn latent representations by minimizing reconstruction errors. Rare work…

Machine Learning · Computer Science 2024-01-15 Bozhen Hu , Zelin Zang , Jun Xia , Lirong Wu , Cheng Tan , Stan Z. Li
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