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In this paper, adaptive non-uniform compressive sampling (ANCS) of time-varying signals, which are sparse in a proper basis, is introduced. ANCS employs the measurements of previous time steps to distribute the sensing energy among…

Applications · Statistics 2017-03-10 Alireza Zaeemzadeh , Mohsen Joneidi , Nazanin Rahnavard

Time series data are collected in temporal order and are widely used to train systems for prediction, modeling and classification to name a few. These systems require large amounts of data to improve generalization and prevent over-fitting.…

Signal Processing · Electrical Eng. & Systems 2024-06-26 T. K. M. Lee , H. W. Chan , K. H. Leo , E. Chew , Ling Zhao , S. Sanei

The decomposition of a stochastic time series into three component series representing a dual signal - namely, the mean and dispersion - while isolating noise is presented. The decomposition is performed by applying machine learning…

Machine Learning · Computer Science 2025-08-14 Alex Glushkovsky

We develop new econometric methods for the comparison of nonparametric time trends. In many applications, practitioners are interested in whether the observed time series all have the same time trend. Moreover, they would often like to know…

Econometrics · Economics 2022-09-23 Marina Khismatullina , Michael Vogt

We present a loss function for neural networks that encompasses an idea of trivial versus non-trivial predictions, such that the network jointly determines its own prediction goals and learns to satisfy them. This permits the network to…

Artificial Intelligence · Computer Science 2016-12-15 Nicholas Guttenberg , Martin Biehl , Ryota Kanai

The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a singular perturbation result using a system of local and…

Analysis of PDEs · Mathematics 2023-07-19 Marcone C. Pereira , Sergio Oliva , Larissa M. Sartori

Intensive longitudinal studies are becoming progressively more prevalent across many social science areas, especially in psychology. New technologies like smart-phones, fitness trackers, and the Internet of Things make it much easier than…

Methodology · Statistics 2019-06-17 Yunxiao Chen , Siliang Zhang

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

Methodology · Statistics 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

Corrupted data sets containing noisy or missing observations are prevalent in various contemporary applications such as economics, finance and bioinformatics. Despite the recent methodological and algorithmic advances in high-dimensional…

Methodology · Statistics 2020-05-12 J. Wu , Z. Zheng , Y. Li , Y. Zhang

The information flow-based quantitative causality analysis has been widely applied in different disciplines because of its origin from first principles, its concise form, and its computational efficiency. So far the algorithm for its…

Adaptation and Self-Organizing Systems · Physics 2023-03-08 X. San Liang

Vast quantities of person-generated health data (wearables) are collected but the process of annotating to feed to machine learning models is impractical. This paper discusses ways in which self-supervised approaches that use contrastive…

Machine Learning · Computer Science 2021-11-16 Kevalee Shah , Dimitris Spathis , Chi Ian Tang , Cecilia Mascolo

With rapid development of techniques to measure brain activity and structure, statistical methods for analyzing modern brain-imaging play an important role in the advancement of science. Imaging data that measure brain function are usually…

Methodology · Statistics 2023-01-05 Haoyi Fu , Lu Tang , Ori Rosen , Alison E. Hipwell , Theodore J. Huppert , Robert T. Krafty

In this work, we introduce metrics to evaluate the use of simplified time series in the context of interpretability of a TSC -- a Time Series Classifier. Such simplifications are important because time series data, in contrast to text and…

Machine Learning · Computer Science 2025-11-04 Brigt Håvardstun , Felix Marti-Perez , Cèsar Ferri , Jan Arne Telle

E-science of photometric data requires automatic procedures and a precise recognition of periodic patterns to perform science as well as possible on large data. Analytical equations that enable us to set the best constraints to properly…

Instrumentation and Methods for Astrophysics · Physics 2018-09-19 C. E. Ferreira Lopes , N. J. G. Cross , F. Jablonski

Medical time series are often irregular and face significant missingness, posing challenges for data analysis and clinical decision-making. Existing methods typically adopt a single modeling perspective, either treating series data as…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Liuqing Chen , Shuhong Xiao , Shixian Ding , Shanhai Hu , Lingyun Sun

The construction of synthetic complex-valued signals from real-valued observations is an important step in many time series analysis techniques. The most widely used approach is based on the Hilbert transform, which maps the real-valued…

Machine Learning · Statistics 2017-12-08 Luca Ambrogioni , Eric Maris

Regression plays an essential role in many medical imaging applications for estimating various clinical risk or measurement scores. While training strategies and loss functions have been studied for the deep neural networks in medical image…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Hanqing Chao , Jiajin Zhang , Pingkun Yan

This paper derives practical algorithms, based on Bayesian inference methods, for several data analysis problems common in time series analysis of astronomical and other data. One problem is the determination of the lag between two time…

Numerical Analysis · Mathematics 2025-10-20 Jeffrey D. Scargle

In the study of complex physical and physiological systems represented by multivariate time series, an issue of great interest is the description of the system dynamics over a range of different temporal scales. While information-theoretic…

Information Theory · Computer Science 2016-02-25 Luca Faes , Alessandro Montalto , Sebastiano Stramaglia , Giandomenico Nollo , Daniele Marinazzo

In this study, we present a technique that spans multi-scale views (global scale -- meaning brain network-level and local scale -- examining each individual ROI that constitutes the network) applied to resting-state fMRI volumes. Deep…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Ammu R. , Debanjali Bhattacharya , Ameiy Acharya , Ninad Aithal , Neelam Sinha
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