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Multiscale phenomena that evolve on multiple distinct timescales are prevalent throughout the sciences. It is often the case that the governing equations of the persistent and approximately periodic fast scales are prescribed, while the…

Chaotic Dynamics · Physics 2020-08-19 Jason J. Bramburger , Daniel Dylewsky , J. Nathan Kutz

Irregular sampling and high missingness are intrinsic challenges in modeling time series derived from electronic health records (EHRs),where clinical variables are measured at uneven intervals depending on workflow and intervention timing.…

Machine Learning · Computer Science 2025-09-29 Jeong Eul Kwon , Joo Heung Yoon , Hyo Kyung Lee

This paper introduces a multiscale analysis based on optimal piecewise linear approximations of time series. An optimality criterion is formulated and on its base a computationally effective algorithm is constructed for decomposition of a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 I. Zaliapin , A. Gabrielov , V. Keilis-Borok

The growing popularity of wearable sensors has generated large quantities of temporal physiological and activity data. Ability to analyze this data offers new opportunities for real-time health monitoring and forecasting. However, temporal…

Signal Processing · Electrical Eng. & Systems 2021-06-02 Nazgol Tavabi , Kristina Lerman

This thesis presents a new methodology to analyze one-dimensional signals trough a new approach called Multi Layer Analysis, for short MLA. It also provides some new insights on the relationship between one-dimensional signals processed by…

Computer Vision and Pattern Recognition · Computer Science 2011-07-28 Luca Pinello

Explainability in time series forecasting is essential for improving model transparency and supporting informed decision-making. In this work, we present CrossScaleNet, an innovative architecture that combines a patch-based cross-attention…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Ibrahim Delibasoglu , Fredrik Heintz

We perform a quantitative analysis of the gain/loss asymmetry for financial time series by using a Bayesian approach. In particular, we focus on some selected indices and analyze the statistical significance of the asymmetry amount through…

Statistical Finance · Quantitative Finance 2021-04-14 Andrea Giuseppe Di Iura , Giulia Terenzi

With advances in optical sensor technology, heterogeneous camera systems are increasingly used for high-resolution (HR) video acquisition and analysis. However, motion transfer across multiple cameras poses challenges. To address this, we…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Yaping Zhao , Guanghan Li , Edmund Y. Lam

Properties of low-variability periods in the time series are analysed. The theoretical approach is used to show the relationship between the multi-scaling of low-variability periods and multi-affinity of the time series. It is shown that…

Statistical Mechanics · Physics 2008-12-02 R. Kitt , J. Kalda

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

Modeling physiological time-series in ICU is of high clinical importance. However, data collected within ICU are irregular in time and often contain missing measurements. Since absence of a measure would signify its lack of importance, the…

Machine Learning · Computer Science 2017-07-18 Phuoc Nguyen , Truyen Tran , Svetha Venkatesh

A recent method based on the concurrence of complex networks and multifractal analyses is applied for the first time to explore ground-level ozone behavior. Ozone time series are converted into complex networks for their posterior analysis.…

Atmospheric and Oceanic Physics · Physics 2023-11-20 R. Carmona-Cabezas , A. B. Ariza-Villaverde , E. Gutierrez de Rave , F. J. Jimenez-Hornero

Different methods are used to determine the scaling exponents associated with a time series describing a complex dynamical process, such as those observed in geophysical systems. Many of these methods are based on the numerical evaluation…

Geophysics · Physics 2007-05-23 Nicola Scafetta , Bruce J. West

Information from frequency bands in biomedical time series provides useful summaries of the observed signal. Many existing methods consider summaries of the time series obtained over a few well-known, pre-defined frequency bands of…

Methodology · Statistics 2023-01-11 Raanju R. Sundararajan , Scott A. Bruce

Accurate segmentation of Multiple Sclerosis (MS) lesions in longitudinal MRI scans is crucial for monitoring disease progression and treatment efficacy. Although changes across time are taken into account when assessing images in clinical…

We show that scaling arguments are very useful to analyze the dynamics of periodically modulated noisy systems. Information about the behavior of the relevant quantities, such as the signal-to-noise ratio, upon variations of the noise…

Statistical Mechanics · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

Multivariate time series (MTS) analysis prevails in real-world applications such as finance, climate science and healthcare. The various self-attention mechanisms, the backbone of the state-of-the-art Transformer-based models, efficiently…

Machine Learning · Computer Science 2023-11-21 Quang Minh Nguyen , Lam M. Nguyen , Subhro Das

In this paper we consider the problem of the limits concerning the physical information that can be extracted from the analysis of one or more time series (light curves) typical of astrophysical objects. On the basis of theoretical…

Astrophysics · Physics 2009-11-10 R. Vio , N. R. Kristensen , H. Madsen , W. Wamsteker

Biological processes involve a variety of spatial and temporal scales. A holistic understanding of many biological processes therefore requires multi-scale models which capture the relevant properties on all these scales. In this manuscript…

Molecular Networks · Quantitative Biology 2015-06-23 Jan Hasenauer , Nick Jagiella , Sabrina Hross , Fabian J. Theis

A deep learning framework is developed for multiscale characterization of poroelastic media from full waveform data which is known as poroelastography. Special attention is paid to heterogeneous environments whose multiphase properties may…

Signal Processing · Electrical Eng. & Systems 2024-11-15 Yang Xu , Fatemeh Pourahmadian