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Variational autoencoders (VAE) are powerful generative models that learn the latent representations of input data as random variables. Recent studies show that VAE can flexibly learn the complex temporal dynamics of time series and achieve…

Machine Learning · Computer Science 2023-11-14 Borui Cai , Shuiqiao Yang , Longxiang Gao , Yong Xiang

With the rapid development and evolution of sophisticated algorithms for statistical analysis of time series data, the research community has started spending considerable effort in technical analysis of such data. Forecasting is also an…

Statistical Finance · Quantitative Finance 2021-09-03 Jaydip Sen , Tamal Datta Chaudhuri

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

Methodology · Statistics 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

Various neural network based methods are capable of anticipating human body motions from data for a short period of time. What these methods lack are the interpretability and explainability of the network and its results. We propose to use…

Machine Learning · Computer Science 2019-12-17 Kristina Enes , Hassan Errami , Moritz Wolter , Tim Krake , Bernhard Eberhardt , Andreas Weber , Jörg Zimmermann

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

Machine Learning · Computer Science 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

Traffic flow forecasting is a crucial task in intelligent transport systems. Deep learning offers an effective solution, capturing complex patterns in time-series traffic flow data to enable the accurate prediction. However, deep learning…

Machine Learning · Computer Science 2024-11-07 Qiyuan Zhu , A. K. Qin , Hussein Dia , Adriana-Simona Mihaita , Hanna Grzybowska

Identifying the topology underlying a set of time series is useful for tasks such as prediction, denoising, and data completion. Vector autoregressive (VAR) model-based topologies capture dependencies among time series and are often…

Signal Processing · Electrical Eng. & Systems 2023-10-30 Bakht Zaman , Luis Miguel Lopez Ramos , Baltasar Beferull-Lozano

Time series forecasting is widely used in extensive applications, such as traffic planning and weather forecasting. However, real-world time series usually present intricate temporal variations, making forecasting extremely challenging.…

Machine Learning · Computer Science 2024-05-24 Shiyu Wang , Haixu Wu , Xiaoming Shi , Tengge Hu , Huakun Luo , Lintao Ma , James Y. Zhang , Jun Zhou

This study introduces the SH-MBS-GARCH model, a hysteretic multivariate Bayesian structural GARCH framework that integrates hard and soft information to capture the joint dynamics of multiple financial time series, incorporating hysteretic…

Computation · Statistics 2025-07-28 Tzu-Hsin Chien , Ning Ning , Shih-Feng Huang

This paper introduces a unified factor overnight GARCH-It\^o model for large volatility matrix estimation and prediction. To account for whole-day market dynamics, the proposed model has two different instantaneous factor volatility…

Methodology · Statistics 2023-07-31 Donggyu Kim , Minseog Oh , Xinyu Song , Yazhen Wang

In this work, we propose an ensemble forecasting approach based on randomized neural networks. Improved randomized learning streamlines the fitting abilities of individual learners by generating network parameters in accordance with the…

Machine Learning · Computer Science 2021-07-12 Grzegorz Dudek , Paweł Pełka

Heteroskedasticity is a common feature of financial time series and is commonly addressed in the model building process through the use of ARCH and GARCH processes. More recently multivariate variants of these processes have been in the…

Methodology · Statistics 2015-12-18 Alexander Aue , Lajos Horvath , Daniel Pellatt

This paper addresses the problem of detecting and characterizing local variability in time series and other forms of sequential data. The goal is to identify and characterize statistically significant variations, at the same time…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Jeffrey D. Scargle , Jay P. Norris , Brad Jackson , James Chiang

Orthogonal Generalized Autoregressive Conditional Heteroskedasticity model (OGARCH) is widely used in finance industry to produce volatility and correlation forecasts. We show that the classic OGARCH model, nevertheless, tends to be too…

Methodology · Statistics 2019-09-27 Yufan Li

A time series represents a set of observations collected over time. Typically, these observations are captured with a uniform sampling frequency (e.g. daily). When data points are observed in uneven time intervals the time series is…

Machine Learning · Computer Science 2022-01-03 Pedro Costa , Vitor Cerqueira , João Vinagre

This paper presents a hierarchical Bayesian modeling framework for the uncertainty quantification in modal identification of linear dynamical systems using multiple vibration data sets. This novel framework integrates the state-of-the-art…

Methodology · Statistics 2020-05-19 Omid Sedehi , Lambros S. Katafygiotis , Costas Papadimitriou

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

Time series forecasting is a crucial challenge with significant applications in areas such as weather prediction, stock market analysis, and scientific simulations. This paper introduces an embedded decomposed transformer, 'EDformer', for…

Machine Learning · Computer Science 2024-12-18 Sanjay Chakraborty , Ibrahim Delibasoglu , Fredrik Heintz

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu

We introduce a novel ensemble approach for feature selection based on hierarchical stacking for non-stationarity and/or a limited number of samples with a large number of features. Our approach exploits the co-dependency between features…

Machine Learning · Computer Science 2024-10-08 Aysin Tumay , Mustafa E. Aydin , Ali T. Koc , Suleyman S. Kozat