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Accurate prediction of future blood glucose (BG) levels can effectively improve BG management for people living with diabetes, thereby reducing complications and improving quality of life. The state of the art of BG prediction has been…

Machine Learning · Computer Science 2024-02-27 Chengzhe Piao , Taiyu Zhu , Stephanie E Baldeweg , Paul Taylor , Pantelis Georgiou , Jiahao Sun , Jun Wang , Kezhi Li

In this paper we introduce the horizon visibility graph, a simple extension to the popular horizontal visibility graph representation of a time series, and show that it possesses a rigorous mathematical foundation in computational algebraic…

Data Analysis, Statistics and Probability · Physics 2019-06-24 Colin Stephen

Numerous complex systems, such as those arisen in ecological networks, genomic contact networks, and social networks, exhibit higher-order and time-varying characteristics, which can be effectively modeled using temporal hypergraphs.…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Anqi Dong , Xin Mao , Can Chen

This study aims to offer a new perspective on complex network representation of real-world systems. Currently, the most well-known transformation algorithms in the literature treat each data point in a time series as a node and transform…

Physics and Society · Physics 2025-06-18 G. Cigdem Yalcin , M. Berk Onder

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

The central nervous system is composed of many individual units -- from cells to areas -- that are connected with one another in a complex pattern of functional interactions that supports perception, action, and cognition. One natural and…

Neurons and Cognition · Quantitative Biology 2017-04-03 Ann E. Sizemore , Danielle S. Bassett

We propose a novel unsupervised approach for linking records across arbitrarily many files, while simultaneously detecting duplicate records within files. Our key innovation is to represent the pattern of links between records as a {\em…

Computation · Statistics 2014-03-04 Rebecca C. Steorts , Rob Hall , Stephen E. Fienberg

This work aims at providing a new model for time series classification based on learning from just one example. We assume that time series can be well characterized as a parametric random process, a sort of Hidden semi-Markov Model…

Machine Learning · Statistics 2022-11-18 Adrián Pérez Herrero , Paulo Félix Lamas , Jesús María Rodríguez Presedo

Electrocardiogram (ECG) can be reliably used as a measure to monitor the functionality of the cardiovascular system. Recently, there has been a great attention towards accurate categorization of heartbeats. While there are many…

Computers and Society · Computer Science 2018-11-06 Mohammad Kachuee , Shayan Fazeli , Majid Sarrafzadeh

Most methods proposed to uncover communities in complex networks rely on combinatorial graph properties. Usually an edge-counting quality function, such as modularity, is optimized over all partitions of the graph compared against a null…

Physics and Society · Physics 2015-02-17 Renaud Lambiotte , Jean-Charles Delvenne , Mauricio Barahona

We propose a new yet natural algorithm for learning the graph structure of general discrete graphical models (a.k.a. Markov random fields) from samples. Our algorithm finds the neighborhood of a node by sequentially adding nodes that…

Machine Learning · Statistics 2012-02-09 Praneeth Netrapalli , Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai

Continuous-time Bayesian networks (CTBNs) are graphical representations of multi-component continuous-time Markov processes as directed graphs. The edges in the network represent direct influences among components. The joint rate matrix of…

Artificial Intelligence · Computer Science 2012-07-02 Nir Friedman , Raz Kupferman

Correlations in multifractal series have been investigated, extensively. Almost all approaches try to find scaling features of a given time series. However, the analysis of such scaling properties has some difficulties such as finding a…

Data Analysis, Statistics and Probability · Physics 2020-02-03 Pouya Manshour

This paper presents a novel theoretical Monte Carlo Markov chain procedure in the framework of graphs. It specifically deals with the construction of a Markov chain whose empirical distribution converges to a given reference one. The Markov…

Probability · Mathematics 2019-07-02 Roy Cerqueti , Emilio De Santis

The price movement prediction of stock market has been a classical yet challenging problem, with the attention of both economists and computer scientists. In recent years, graph neural network has significantly improved the prediction…

Statistical Finance · Quantitative Finance 2023-05-16 Sheng Xiang , Dawei Cheng , Chencheng Shang , Ying Zhang , Yuqi Liang

The relation between time series irreversibility and entropy production has been recently investigated in thermodynamic systems operating away from equilibrium. In this work we explore this concept in the context of financial time series.…

Statistical Finance · Quantitative Finance 2016-01-11 Lucas Lacasa , Ryan Flanagan

We present a graph-theoretical approach to data clustering, which combines the creation of a graph from the data with Markov Stability, a multiscale community detection framework. We show how the multiscale capabilities of the method allow…

Information Retrieval · Computer Science 2020-01-14 Zijing Liu , Mauricio Barahona

To advance formal verification of stochastic systems against temporal logic requirements for handling unknown dynamics, researchers have been designing data-driven approaches inspired by breakthroughs in the underlying machine learning…

Logic in Computer Science · Computer Science 2024-08-01 Oliver Schön , Shammakh Naseer , Ben Wooding , Sadegh Soudjani

Recent advancements have been made in the development of cell-based in-vitro neuronal networks, or organoids. In order to better understand the network structure of these organoids, a super-selective algorithm has been proposed for…

We investigate a generalised version of the recently proposed ordinal partition time series to network transformation algorithm. Firstly we introduce a fixed time lag for the elements of each partition that is selected using techniques from…

Chaotic Dynamics · Physics 2015-05-20 Michael McCullough , Michael Small , Thomas Stemler , Herbert Ho-Ching Iu
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