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Disentangling complex causal relationships is important for accurate detection of anomalies. In multivariate time series analysis, dynamic interactions among data variables over time complicate the interpretation of causal relationships.…

Machine Learning · Computer Science 2025-10-14 Wonah Kim , Jeonghyeon Park , Dongsan Jun , Jungkyu Han , Sejin Chun

Market financial forecasting is a trending area in deep learning. Deep learning models are capable of tackling the classic challenges in stock market data, such as its extremely complicated dynamics as well as long-term temporal…

Statistical Finance · Quantitative Finance 2023-03-17 Shima Nabiee , Nader Bagherzadeh

In this paper, we propose a novel data-driven approach for removing trends (detrending) from nonstationary, fractal and multifractal time series. We consider real-valued time series relative to measurements of an underlying dynamical system…

Data Analysis, Statistics and Probability · Physics 2016-12-15 Enrico Maiorino , Filippo Maria Bianchi , Lorenzo Livi , Antonello Rizzi , Alireza Sadeghian

Despite numerous research efforts in applying deep learning to time series forecasting, achieving high accuracy in multi-step predictions for volatile time series like crude oil prices remains a significant challenge. Moreover, most…

Machine Learning · Computer Science 2024-07-17 Mohammed Alruqimi , Luca Di Persio

This paper addresses a multi-label predictive fault classification problem for multidimensional time-series data. While fault (event) detection problems have been thoroughly studied in literature, most of the state-of-the-art techniques…

Machine Learning · Computer Science 2020-01-29 Wenyu Zhang , Devesh K. Jha , Emil Laftchiev , Daniel Nikovski

We propose a framework combining detrended fluctuation analysis with standard regression methodology. The method is built on detrended variances and covariances and it is designed to estimate regression parameters at different scales and…

Statistical Finance · Quantitative Finance 2018-10-30 Ladislav Kristoufek

Marketing is the way we ensure our sales are the best in the market, our prices the most accessible, and our clients satisfied, thus ensuring our brand has the widest distribution. This requires sophisticated and advanced understanding of…

Mathematical Finance · Quantitative Finance 2024-03-21 Mohamed Elshazli A. Zidan , Anouar Ben Mabrouk , Nidhal Ben Abdallah , Tawfeeq M. Alanazi

Correlations in multifractal series have been investigated, extensively. Almost all approaches try to find scaling features of a given time series. However, the analysis of such scaling properties has some difficulties such as finding a…

Data Analysis, Statistics and Probability · Physics 2020-02-03 Pouya Manshour

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

Some time series can be hierarchically organized into levels based on certain characteristics, such as geography or other attributes of interest. These series are referred to as hierarchical time series. Typically, forecasts are generated…

Providing optimal portfolio selection for investors has always been one of the hot topics in academia. In view of the traditional portfolio model could not adapt to the actual capital market and can provide erroneous results. This paper…

Portfolio Management · Quantitative Finance 2024-11-26 Yong Li

With the advancements in technology and monitoring tools, we often encounter multivariate graph signals, which can be seen as the realizations of multivariate graph processes, and revealing the relationship between their constituent…

Methodology · Statistics 2024-08-13 Kyusoon Kim , Hee-Seok Oh

In this chapter we studied the nonlinear co-movements between the Mexican Crude Oil price, the Mexican Stock Market Index and the USD/MXN Exchange Rate, for the sample period from 1994 to date. We used a battery of nonlinear tests, cf.…

Statistical Finance · Quantitative Finance 2016-02-11 Semei Coronado , Omar Rojas

We consider a few quantities that characterize trading on a stock market in a fixed time interval: logarithmic returns, volatility, trading activity (i.e., the number of transactions), and volume traded. We search for the power-law…

Statistical Finance · Quantitative Finance 2016-01-20 Rafal Rak , Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka

We introduce a new test for detection of power-law cross-correlations among a pair of time series - the rescaled covariance test. The test is based on a power-law divergence of the covariance of the partial sums of the long-range…

Statistical Finance · Quantitative Finance 2013-10-10 Ladislav Kristoufek

We investigate how to learn treatment effects away from the cutoff in multiple-cutoff regression discontinuity designs. Using a microeconomic model, we demonstrate that the parallel-trend type assumption proposed in the literature is…

Econometrics · Economics 2025-09-03 Yuta Okamoto , Yuuki Ozaki

Multivariate time series in domains such as finance, climate science, and healthcare often exhibit long-term trends, seasonal patterns, and short-term fluctuations, complicating causal inference under non-stationarity and autocorrelation.…

Machine Learning · Computer Science 2026-04-29 Muhammad Hasan Ferdous , Md Osman Gani

Different variants of MFDFA technique are applied in order to investigate various (artificial and real-world) time series. Our analysis shows that the calculated singularity spectra are very sensitive to the order of the detrending…

Data Analysis, Statistics and Probability · Physics 2023-07-19 P. Oświęcimka , S. Drożdż , J. Kwapień , A. Z. Górski

When common factors strongly influence two cross-correlated time series recorded in complex natural and social systems, the results will be biased if we use multifractal detrended cross-correlation analysis (MF-DXA) without considering…

Physics and Society · Physics 2021-04-14 Bao-Gen Li , Dian-Yi Ling , Zu-Guo Yu

One of the challenging research problems in the domain of time series analysis and forecasting is making efficient and robust prediction of stock market prices. With rapid development and evolution of sophisticated algorithms and with the…

Other Computer Science · Computer Science 2016-05-13 Jaydip Sen , Tamal Datta Chaudhuri