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This work is devoted to the study of modeling geophysical and financial time series. A class of volatility models with time-varying parameters is presented to forecast the volatility of time series in a stationary environment. The modeling…

The human brain can be conceptualized as a dynamical system. Utilizing resting state fMRI time series imaging, we can study the underlying dynamics at ear-marked Regions of Interest (ROIs) to understand structure or lack thereof. This…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Ninad Aithal , Chakka Sai Pradeep , Neelam Sinha

We construct fractionally integrated continuous-time GARCH models, which capture the observed long range dependence of squared volatility in high-frequency data. Since the usual Molchan-Golosov and Mandelbrot-van-Ness fractional kernels…

Statistics Theory · Mathematics 2018-01-01 Stephan Haug , Claudia Klüppelberg , German Straub

This paper proposes a novel hybrid model, termed GARCH-FIS, for recursive rolling multi-step forecasting of financial time series. It integrates a Fuzzy Inference System (FIS) with a Generalized Autoregressive Conditional Heteroskedasticity…

Machine Learning · Computer Science 2026-03-17 Wen-Jing Li , Da-Qing Zhang

Generative moment matching networks (GMMNs) are introduced as dependence models for the joint innovation distribution of multivariate time series (MTS). Following the popular copula-GARCH approach for modeling dependent MTS data, a…

Methodology · Statistics 2021-10-05 Marius Hofert , Avinash Prasad , Mu Zhu

Functional MRI (fMRI) is widely used to examine brain functionality by detecting alteration in oxygenated blood flow that arises with brain activity. This work aims to investigate the neurological variation of human brain responses during…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Naveen Kanigiri , Manohar Suggula , Debanjali Bhattacharya , Neelam Sinha

It becomes increasingly popular to perform mediation analysis for complex data from sophisticated experimental studies. In this paper, we present Granger Mediation Analysis (GMA), a new framework for causal mediation analysis of multiple…

Methodology · Statistics 2017-09-18 Yi Zhao , Xi Luo

In contrast to conventional, univariate analysis, various types of multivariate analysis have been applied to functional magnetic resonance imaging (fMRI) data. In this paper, we compare two contemporary approaches for multivariate…

Applications · Statistics 2018-02-08 Ethan C. Jackson , James Alexander Hughes , Mark Daley

GARCH-type time series (characterized by Generalized Autoregressive Conditional Heteroskedasticity) exhibit pronounced volatility, autocorrelation, and heteroskedasticity. To address these challenges and enhance predictive accuracy, this…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Hongpei Shao , Da-Qing Zhang , Feilong Lu

This study proposes a risk prediction method based on a Multi-Scale Temporal Alignment Network (MSTAN) to address the challenges of temporal irregularity, sampling interval differences, and multi-scale dynamic dependencies in Electronic…

Machine Learning · Computer Science 2025-11-27 Wei-Chen Chang , Lu Dai , Ting Xu

Several academics have studied the ability of hybrid models mixing univariate Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models and neural networks to deliver better volatility predictions than purely econometric…

Statistical Finance · Quantitative Finance 2021-09-03 Lucien Boulet

Understanding the complex neural activity dynamics is crucial for the development of the field of neuroscience. Although current functional MRI classification approaches tend to be based on static functional connectivity or cannot capture…

Machine Learning · Computer Science 2025-08-20 Amirali Arbab , Zeinab Davarani , Mehran Safayani

Task-based functional magnetic resonance imaging (task fMRI) is a non-invasive technique that allows identifying brain regions whose activity changes when individuals are asked to perform a given task. This contributes to the understanding…

Fetal functional Magnetic Resonance Imaging (fMRI) has emerged as a powerful tool for investigating brain development in utero, holding promise for generating developmental disease biomarkers and supporting prenatal diagnosis. However, to…

In modern neuroscience, functional magnetic resonance imaging (fMRI) has been a crucial and irreplaceable tool that provides a non-invasive window into the dynamics of whole-brain activity. Nevertheless, fMRI is limited by hemodynamic…

Signal Processing · Electrical Eng. & Systems 2024-01-26 Yamin Li , Ange Lou , Ziyuan Xu , Shiyu Wang , Catie Chang

Rolling bearings are critical components in rotating machinery, and their faults can cause severe damage. Early detection of abnormalities is crucial to prevent catastrophic accidents. Traditional and intelligent methods have been used to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Weiyang Jin

Capturing dynamic spatiotemporal neural activity is essential for understanding large-scale brain mechanisms. Functional magnetic resonance imaging (fMRI) provides high-resolution cortical representations that form a strong basis for…

Image and Video Processing · Electrical Eng. & Systems 2026-04-01 Wanying Qu , Jianxiong Gao , Wei Wang , Yanwei Fu

The volatility of financial instruments is rarely constant, and usually varies over time. This creates a phenomenon called volatility clustering, where large price movements on one day are followed by similarly large movements on successive…

Statistical Finance · Quantitative Finance 2015-05-08 Gordon J. Ross

This paper proposes an enhanced approach to modeling and forecasting volatility using high frequency data. Using a forecasting model based on Realized GARCH with multiple time-frequency decomposed realized volatility measures, we study the…

Statistical Finance · Quantitative Finance 2015-02-04 Jozef Barunik , Tomas Krehlik , Lukas Vacha

Functional Magnetic Resonance Imaging (fMRI) captures the temporal dynamics of neural activity as a function of spatial location in the brain. Thus, fMRI scans are represented as 4-Dimensional (3-space + 1-time) tensors. And it is widely…

Computer Vision and Pattern Recognition · Computer Science 2020-02-17 Ahmed El-Gazzar , Mirjam Quaak , Leonardo Cerliani , Peter Bloem , Guido van Wingen , Rajat Mani Thomas