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Related papers: A new approach for physiological time series

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Many real-world systems modeled using differential equations involve unknown or uncertain parameters. Standard approaches to address parameter estimation inverse problems in this setting typically focus on estimating constants; yet some…

Dynamical Systems · Mathematics 2024-03-25 Anna Fitzpatrick , Molly Folino , Andrea Arnold

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

Machine Learning · Statistics 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

Time Series forecasting (univariate and multivariate) is a problem of high complexity due the different patterns that have to be detected in the input, ranging from high to low frequencies ones. In this paper we propose a new model for…

Machine Learning · Computer Science 2019-03-07 Matteo Maggiolo , Gerasimos Spanakis

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

Machine Learning · Statistics 2022-03-10 Oshri Barazani , David Tolpin

We develop a novel algorithm for feature extraction in time series data by leveraging tools from topological data analysis. Our algorithm provides a simple, efficient way to successfully harness topological features of the attractor of the…

Computational Geometry · Computer Science 2019-06-05 Kwangho Kim , Jisu Kim , Alessandro Rinaldo

The oscillations of the human heart rate are inherently complex and non-linear -- they are best described by mathematical chaos, and they present a challenge when applied to the practical domain of cardiovascular health monitoring in…

Machine Learning · Computer Science 2025-11-03 Berken Utku Demirel , Christian Holz

Many multi-variate time series obtained in the natural sciences and engineering possess a repetitive behavior, as for instance state-space trajectories of industrial machines in discrete automation. Recovering the times of recurrence from…

Computational Geometry · Computer Science 2025-05-20 Simon Schindler , Elias Steffen Reich , Saverio Messineo , Simon Hoher , Stefan Huber

Time series anomaly detection plays a critical role in automated monitoring systems. Most previous deep learning efforts related to time series anomaly detection were based on recurrent neural networks (RNN). In this paper, we propose a…

Machine Learning · Computer Science 2019-06-03 Tailai Wen , Roy Keyes

We present the multiscale entropy analysis of short term physiological time series of simultaneously acquired samples of heart rate, blood pressure and lung volume, from healthy subjects and from subjects with Chronic Heart Failure.…

Medical Physics · Physics 2007-05-23 L. Angelini , R. Maestri , D. Marinazzo , L. Nitti , M. Pellicoro , G. D. Pinna , S. Stramaglia , S. A. Tupputi

Time irreversibility, defined as the lack of invariance of the statistical properties of a system or time series under the operation of time reversal, has received an increasing attention during the last decades, thanks to the information…

Data Analysis, Statistics and Probability · Physics 2021-11-03 Massimiliano Zanin

This paper presents a software implementation of a general framework for time series interpretation based on abductive reasoning. The software provides a data model and a set of algorithms to make inference to the best explanation of a time…

Artificial Intelligence · Computer Science 2020-03-18 Tomas Teijeiro , Paulo Felix

We introduce the concept of time series motifs for time series analysis. Time series motifs consider not only the spatial information of mutual visibility but also the temporal information of relative magnitude between the data points. We…

Physics and Society · Physics 2019-02-04 Wen-Jie Xie , Rui-Qi Han , Wei-Xing Zhou

A number of inhibitory and excitatory factors regulate the beating of the heart. Consequently, the inter-beat intervals (IBIs) are not constant but vary around a mean value, even in the absence of external factors like exercise or stress.…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Ilker Bayram

Understanding and distinguishing temporal patterns in time series data is essential for scientific discovery and decision-making. For example, in biomedical research, uncovering meaningful patterns in physiological signals can improve…

Machine Learning · Computer Science 2025-12-16 Yu-Chia Huang , Juntong Chen , Dongyu Liu , Kwan-Liu Ma

Recent advances in technology have brought major breakthroughs in data collection, enabling a large amount of data to be gathered over time and thus generating time series. Mining this data has become an important task for researchers and…

Machine Learning · Computer Science 2020-02-12 Ane Blázquez-García , Angel Conde , Usue Mori , Jose A. Lozano

The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few…

Chaotic Dynamics · Physics 2017-11-21 Sajini Anand P S , Prabhakar G Vaidya

This work develops techniques for the sequential detection and location estimation of transient changes in the volatility (standard deviation) of time series data. In particular, we introduce a class of change detection algorithms based on…

Systems and Control · Computer Science 2017-12-29 Alireza Ahrabian , Nazli Farajidavar , Clive Cheong-Took , Payam Barnaghi

Statistical differentiability of the measure along the reconstructed trajectory is a good candidate to quantify determinism in time series. The procedure is based upon a formula that explicitly shows the sensitivity of the measure to…

Chaotic Dynamics · Physics 2009-10-31 Guillermo J. Ortega , Enrique Louis

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

Physics and Society · Physics 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

We address the problem of data-driven pattern identification and outlier detection in time series. To this end, we use singular value decomposition (SVD) which is a well-known technique to compute a low-rank approximation for an arbitrary…

Methodology · Statistics 2019-03-12 Abdolrahman Khoshrou , Eric J. Pauwels