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Granger causality, a popular method for determining causal influence between stochastic processes, is most commonly estimated via linear autoregressive modeling. However, this approach has a serious drawback: if the process being modeled…

Statistics Theory · Mathematics 2016-06-29 Lionel Barnett , Anil K. Seth

Electrocardiogram (ECG) signal is one of the most effective sources of information mainly employed for the diagnosis and prediction of cardiovascular diseases (CVDs) connected with the abnormalities in heart rhythm. Clearly, single modality…

Signal Processing · Electrical Eng. & Systems 2022-10-13 Thinh Phan , Duc Le , Patel Brijesh , Donald Adjeroh , Jingxian Wu , Morten Olgaard Jensen , Ngan Le

Although the notion of diagnostic problem has been extensively investigated in the context of static systems, in most practical applications the behavior of the modeled system is significantly variable during time. The goal of the paper is…

Artificial Intelligence · Computer Science 2013-03-25 Luigi Portinale

We develop a new statistical model to analyse time-varying ranking data. The model can be used with a large number of ranked items, accommodates exogenous time-varying covariates and partial rankings, and is estimated via the maximum…

Methodology · Statistics 2022-11-23 Vladimír Holý , Jan Zouhar

Objectives: Atrial fibrillation (AF) is a common heart rhythm disorder associated with deadly and debilitating consequences including heart failure, stroke, poor mental health, reduced quality of life and death. Having an automatic system…

Signal Processing · Electrical Eng. & Systems 2018-01-31 Philip Warrick , Masun Nabhan Homsi

In this work, we introduce a new and simple transformation from time series to complex networks based on markov-binary visibility graph(MBVG). Due to the simple structure of this transformation in comparison with other transformations be…

Data Analysis, Statistics and Probability · Physics 2011-10-25 Yaser Sadra , Zahra Arasteh-Fard , Sodief Ahadpour

The rapid advancements in Artificial Intelligence, specifically Machine Learning (ML) and Deep Learning (DL), have opened new prospects in medical sciences for improved diagnosis, prognosis, and treatment of severe health conditions. This…

Machine Learning · Computer Science 2024-12-11 Atit Pokharel , Shashank Dahal , Pratik Sapkota , Bhupendra Bimal Chhetri

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

Time series subject to change in regime have attracted much interest in domains such as econometry, finance or meteorology. For discrete-valued regimes, some models such as the popular Hidden Markov Chain (HMC) describe time series whose…

Machine Learning · Computer Science 2021-02-26 Fatoumata Dama , Christine Sinoquet

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

Machine Learning · Computer Science 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

We study goodness-of-fit testing for non-causal autoregressive time series with non-Gaussian stable noise. To model time series exhibiting sharp spikes or occasional bursts of outlying observations, the exponent of the non-Gaussian stable…

Statistics Theory · Mathematics 2012-09-19 Yunwei Cui , Rongning Wu , Thomas J. Fisher

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We…

Logic in Computer Science · Computer Science 2015-07-15 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

The Fourier phase information play a key role for the quantified description of nonlinear data. We present a novel tool for time series analysis that identifies nonlinearities by sensitively detecting correlations among the Fourier phases.…

Data Analysis, Statistics and Probability · Physics 2018-08-01 Korbinian Schreiber , Heike I. Modest , Christoph Räth

We describe a method for analyzing the stochasticity in the non-stationary data for the beat-to-beat fluctuations in the heart rates of healthy subjects, as well as those with congestive heart failure. The method analyzes the returns time…

Biological Physics · Physics 2007-05-23 F. Ghasemi , Muhammad Sahimi , J. Peinke , M. Reza Rahimi Tabar

Arrhythmogenic right ventricular cardiomyopathy (ARVC) is an inherited heart muscle disease that appears between the second and forth decade of a patient's life, being responsible for 20% of sudden cardiac deaths before the age of 35. The…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Vasileios E. Papageorgiou , Thomas Zegkos , Georgios Efthimiadis , George Tsaklidis

Left ventricular ejection fraction (LVEF) assessment depends on echocardiography, limiting access in primary care and resource-constrained settings. We developed a multimodal machine-learning framework that combines engineered 12-lead ECG…

Machine Learning · Computer Science 2026-04-30 Catherine Ning , Yu Ma , Cindy Beini Wang , Sean McMahon , Joseph Radojevic , Steven Zweibel , Dimitris Bertsimas

The volatility modeling for autoregressive univariate time series is considered. A benchmark approach is the stationary ARCH model of Engle (1982). Motivated by real data evidence, processes with non constant unconditional variance and ARCH…

Methodology · Statistics 2012-12-13 Valentin Patilea , Hamdi Raïssi

The analysis of electrocardiogram (ECG) signals can be time consuming as it is performed manually by cardiologists. Therefore, automation through machine learning (ML) classification is being increasingly proposed which would allow ML…

Machine Learning · Computer Science 2022-05-10 Shourya Verma

Electrocardiogram (ECG) abnormalities are linked to cardiovascular diseases, but may also occur in other non-cardiovascular conditions such as mental, neurological, metabolic and infectious conditions. However, most of the recent success of…

Signal Processing · Electrical Eng. & Systems 2022-10-13 Weijie Sun , Sunil Vasu Kalmady , Amir Salimi , Nariman Sepehrvand , Eric Ly , Abram Hindle , Russell Greiner , Padma Kaul

We introduce a continuous time-reversal operation which connects the time-forward and time-reversed trajectories in the steady state of an irreversible Markovian dynamics via a continuous family of stochastic dynamics. This continuous…

Statistical Mechanics · Physics 2022-01-10 Andreas Dechant , Shin-ichi Sasa
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