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The extraction of phenotype information which is naturally contained in electronic health records (EHRs) has been found to be useful in various clinical informatics applications such as disease diagnosis. However, due to imprecise…

Computation and Language · Computer Science 2019-11-12 Jingqing Zhang , Xiaoyu Zhang , Kai Sun , Xian Yang , Chengliang Dai , Yike Guo

Electroencephalography (EEG) reflects the brain's functional state, making it a crucial tool for diverse detection applications like seizure detection and sleep stage classification. While deep learning-based approaches have recently shown…

Machine Learning · Computer Science 2025-10-07 Kerui Wu , Ziyue Zhao , Bülent Yener

We present a novel topological framework for analyzing functional brain signals using time-frequency analysis. By integrating persistent homology with time-frequency representations, we capture multi-scale topological features that…

Neurons and Cognition · Quantitative Biology 2025-04-23 Moo K. Chung , Aaron F. Struck

A useful approach for analysing multiple time series is via characterising their spectral density matrix as the frequency domain analog of the covariance matrix. When the dimension of the time series is large compared to their length,…

Statistics Theory · Mathematics 2018-10-29 Mark Fiecas , Chenlei Leng , Weidong Liu , Yi Yu

In our previous paper [N. Tsutsumi, K. Nakai and Y. Saiki, Chaos 32, 091101 (2022)], we proposed a method for constructing a system of differential equations of chaotic behavior from only observable deterministic time series, which we call…

Chaotic Dynamics · Physics 2024-11-12 Natsuki Tsutsumi , Kengo Nakai , Yoshitaka Saiki

We present the method of complementary ensemble empirical mode decomposition (CEEMD) and Hilbert-Huang transform (HHT) for analyzing nonstationary financial time series. This noise-assisted approach decomposes any time series into a number…

Computational Finance · Quantitative Finance 2021-05-25 Tim Leung , Theodore Zhao

A variety of complex biological, natural and man-made systems exhibit non-Markovian dynamics that can be modeled through fractional order differential equations, yet, we lack sample comlexity aware system identification strategies. Towards…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Xiaole Zhang , Vijay Gupta , Paul Bogdan

Processing and analyzing of massive clinical data are resource intensive and time consuming with traditional analytic tools. Electroencephalogram (EEG) is one of the major technologies in detecting and diagnosing various brain disorders,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-05 Serife Acikalin , Suleyman Eken , Ahmet Sayar

Recent advances in signal processing and information theory are boosting the development of new approaches for the data-driven modelling of complex network systems. In the fields of Network Physiology and Network Neuroscience where the…

Methodology · Statistics 2024-01-23 Laura Sparacino , Yuri Antonacci , Gorana Mijatovic , Luca Faes

Accelerometry data has been widely used to measure activity and the circadian rhythm of individuals across the health sciences, in particular with people with advanced dementia. Modern accelerometers can record continuous observations on a…

Modelling a large collection of functional time series arises in a broad spectral of real applications. Under such a scenario, not only the number of functional variables can be diverging with, or even larger than the number of temporally…

Statistics Theory · Mathematics 2021-09-01 Shaojun Guo , Xinghao Qiao

To capture the slowly time-varying spectral content of real-world time-series, a common paradigm is to partition the data into approximately stationary intervals and perform inference in the time-frequency domain. However, this approach…

Methodology · Statistics 2021-06-15 Andrew H. Song , Demba Ba , Emery N. Brown

Context. Solar-like oscillations exhibit a regular pattern of frequencies. This pattern is dominated by the small and large frequency separations between modes. The accurate determination of these parameters is of great interest, because…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 René Kiefer , Ariane Schad , Wiebke Herzberg , Markus Roth

Computation of the instantaneous phase and amplitude via the Hilbert Transform is a powerful tool of data analysis. This approach finds many applications in various science and engineering branches but is not proper for causal estimation…

Neurons and Cognition · Quantitative Biology 2021-05-24 Michael Rosenblum , Arkady Pikovsky , Andrea A. Kühn , Johannes L. Busch

We propose a topological framework for the detection of Hopf bifurcations directly from time series, based on persistent homology applied to phase space reconstructions via Takens embedding within the framework of Topological Data Analysis.…

Dynamical Systems · Mathematics 2026-03-31 Jhonathan Barrios , Yásser Echávez , Carlos F. Álvarez

Interictal spikes and sharp waves in human EEG are characteristic signatures of epilepsy. These potentials originate as a result of synchronous, pathological discharge of many neurons. The reliable detection of such potentials has been the…

Biological Physics · Physics 2009-11-10 Miroslaw Latka , Ziemowit Was , Andrzej Kozik , Bruce J. West

While Deep Learning (DL) is often considered the state-of-the art for Artificial Intelligence-based medical decision support, it remains sparsely implemented in clinical practice and poorly trusted by clinicians due to insufficient…

Machine Learning · Computer Science 2020-12-23 Valentin Gabeff , Tomas Teijeiro , Marina Zapater , Leila Cammoun , Sylvain Rheims , Philippe Ryvlin , David Atienza

Epilepsy is a chronic neurological disorder that affects a significant portion of the human population and imposes serious risks in the daily life of patients. Despite advances in machine learning and IoT, small, nonstigmatizing wearable…

Machine Learning · Computer Science 2023-02-22 Una Pale , Tomas Teijeiro , David Atienza

Phenomics is an emerging branch of modern biology that uses high throughput phenotyping tools to capture multiple environmental and phenotypic traits, often at massive spatial and temporal scales. The resulting high dimensional data…

Quantitative Methods · Quantitative Biology 2019-06-06 Methun Kamruzzaman , Ananth Kalyanaraman , Bala Krishnamoorthy , Stefan Hey , Patrick Schnable

In Internet of things (IoT), data is continuously recorded from different data sources and devices can suffer faults in their embedded electronics, thus leading to a high-dimensional data sets and concept drift events. Therefore, methods…

Machine Learning · Computer Science 2021-07-22 Hugo Vinicius Bitencourt , Frederico Gadelha Guimarães