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Time series forecasting occurs in a range of financial applications providing essential decision-making support to investors, regulatory institutions, and analysts. Unlike multivariate time series from other domains, stock time series…

Since many decades, there is a general perception in literature that the Fourier methods are not suitable for the analysis of nonlinear and nonstationary data. In this paper, we propose a Fourier Decomposition Method (FDM) and demonstrate…

Methodology · Statistics 2017-03-16 Pushpendra Singh , Shiv Dutt Joshi , Rakesh Kumar Patney , Kaushik Saha

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

Methodology · Statistics 2026-02-02 Nicolas Bianco , Lorenzo Cappello

Accurate trajectory forecasting is crucial for the performance of various systems, such as advanced driver-assistance systems and self-driving vehicles. These forecasts allow us to anticipate events that lead to collisions and, therefore,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Adrien Lafage , Mathieu Barbier , Gianni Franchi , David Filliat

This paper proposes the \emph{multiresolution mode decomposition} as a novel model for adaptive time series analysis. The main conceptual innovation is the introduction of the \emph{multiresolution intrinsic mode function} (MIMF) of the…

Numerical Analysis · Mathematics 2019-08-30 Haizhao Yang

We address the problem of analyzing sets of noisy time-varying signals that all report on the same process but confound straightforward analyses due to complex inter-signal heterogeneities and measurement artifacts. In particular we…

Bearing fault detection is a critical task in predictive maintenance, where accurate and timely fault identification can prevent costly downtime and equipment damage. Traditional attention mechanisms in Transformer neural networks often…

Machine Learning · Computer Science 2024-12-17 Marzieh Mirzaeibonehkhater , Mohammad Ali Labbaf-Khaniki , Mohammad Manthouri

A univariate time series with high variability can pose a challenge even to Deep Neural Network (DNN). To overcome this, a univariate time series is decomposed into simpler constituent series, whose sum equals the original series. As…

Machine Learning · Computer Science 2023-03-14 Debdarsan Niyogi

We present a new method for time series clustering which we call the Hierarchical Spectral Merger (HSM) method. This procedure is based on the spectral theory of time series and identifies series that share similar oscillations or…

Computation · Statistics 2016-09-28 Carolina Euan , Hernando Ombao , Joaquin Ortega

The Empirical Mode Decomposition (EMD) provides a tool to characterize time series in terms of its implicit components oscillating at different time-scales. We apply this decomposition to intraday time series of the following three…

Computational Engineering, Finance, and Science · Computer Science 2018-04-04 Noemi Nava , T. Di Matteo , Tomaso Aste

Time series forecasting represents a significant and challenging task across various fields. Recently, methods based on mode decomposition have dominated the forecasting of complex time series because of the advantages of capturing local…

Methodology · Statistics 2023-11-30 Zhengtao Gui , Haoyuan Li , Sijie Xu , Yu Chen

This paper introduces a novel meta-learning algorithm for time series forecast model performance prediction. We model the forecast error as a function of time series features calculated from the historical time series with an efficient…

Applications · Statistics 2022-07-11 Thiyanga S. Talagala , Feng Li , Yanfei Kang

Neural networks for time series forecasting have relied on error metrics and architecture-specific interpretability approaches for model selection that don't apply across models of different families. To interpret forecasting models…

Machine Learning · Computer Science 2026-05-29 Krupakar Hans , V A Kandappan

Multivariate Time-Series (MTS) clustering is crucial for signal processing and data analysis. Although deep learning approaches, particularly those leveraging Contrastive Learning (CL), are prominent for MTS representation, existing…

Machine Learning · Computer Science 2026-01-13 Zexi Tan , Tao Xie , Haoyi Xiao , Baoyao Yang , Yuzhu Ji , An Zeng , Xiang Zhang , Yiqun Zhang

We investigate ensembling techniques in forecasting and examine their potential for use in nonseasonal time-series similar to those in the early days of the COVID-19 pandemic. Developing improved forecast methods is essential as they…

Machine Learning · Computer Science 2022-01-04 Pieter Cawood , Terence L. van Zyl

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

Time series forecasting using historical data has been an interesting and challenging topic, especially when the data is corrupted by missing values. In many industrial problem, it is important to learn the inference function between the…

Machine Learning · Computer Science 2023-06-02 Trang H. Tran , Lam M. Nguyen , Kyongmin Yeo , Nam Nguyen , Dzung Phan , Roman Vaculin , Jayant Kalagnanam

In this paper, three approaches to calculate the self-similarity exponent of a time series are compared in order to determine which one performs best to identify the transition from random efficient market behavior (EM) to herding behavior…

Statistical Finance · Quantitative Finance 2017-03-08 M. Fernández-Martínez , M. A Sánchez-Granero , María José Muñoz Torrecillas , Bill McKelvey

Identifying the qualitative changes in time-series data provides insights into the dynamics associated with such data. Such qualitative changes can be detected through topological approaches, which first embed the data into a…

Data Analysis, Statistics and Probability · Physics 2019-03-27 Quoc Hoan Tran , Yoshihiko Hasegawa

Predicting multivariate time series is crucial, demanding precise modeling of intricate patterns, including inter-series dependencies and intra-series variations. Distinctive trend characteristics in each time series pose challenges, and…

Machine Learning · Computer Science 2024-07-08 Guoqi Yu , Jing Zou , Xiaowei Hu , Angelica I. Aviles-Rivero , Jing Qin , Shujun Wang
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