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In this paper, numerical analysis is carried out for a class of history-dependent variational-hemivariational inequalities arising in contact problems. Three different numerical treatments for temporal discretization are proposed to…

Numerical Analysis · Mathematics 2020-04-07 Shufen Wang , Wei Xu , Weimin Han , Wenbin Chen

This paper proposes a new approach to identifying the effective cointegration rank in high-dimensional unit-root (HDUR) time series from a prediction perspective using reduced-rank regression. For a HDUR process $\mathbf{x}_t\in…

Econometrics · Economics 2023-04-26 Puyi Fang , Zhaoxing Gao , Ruey S. Tsay

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

Statistics Theory · Mathematics 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

Machine Learning · Statistics 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

We propose consistent nonparametric tests of conditional independence for time series data. Our methods are motivated from the difference between joint conditional cumulative distribution function (CDF) and the product of conditional CDFs.…

Econometrics · Economics 2021-10-12 Xiaojun Song , Haoyu Wei

The analysis of nonstationary time series is of great importance in many scientific fields such as physics and neuroscience. In recent years, Gaussian process regression has attracted substantial attention as a robust and powerful method…

Machine Learning · Statistics 2016-11-01 Luca Ambrogioni , Eric Maris

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

Most numerical methods for time integration use real-valued time steps. Complex time steps, however, can provide an additional degree of freedom, as we can select the magnitude of the time step in both the real and imaginary directions. We…

Numerical Analysis · Mathematics 2026-01-13 Jithin D. George , Julian Koellermeier , Samuel Y. Jung , Niall M. Mangan

To analyze the worst-case running time of branching algorithms, the majority of work in exponential time algorithms focuses on designing complicated branching rules over developing better analysis methods for simple algorithms. In the…

Data Structures and Algorithms · Computer Science 2024-07-02 Katie Clinch , Serge Gaspers , Zixu He , Abdallah Saffidine , Tiankuang Zhang

When the copula of the conditional distribution of two random variables given a covariate does not depend on the value of the covariate, two conflicting intuitions arise about the best possible rate of convergence attainable by…

Statistics Theory · Mathematics 2017-05-17 François Portier , Johan Segers

In this paper we develop methodology for testing relevant hypotheses about functional time series in a tuning-free way. Instead of testing for exact equality, for example for the equality of two mean functions from two independent time…

Methodology · Statistics 2020-02-21 Holger Dette , Kevin Kokot , Stanislav Volgushev

We develop a generalization of correlated trend-cycle decompositions that avoids prior assumptions about the long-run dynamic characteristics by modelling the permanent component as a fractionally integrated process and incorporating a…

Econometrics · Economics 2020-05-26 Tobias Hartl , Rolf Tschernig , Enzo Weber

The relation between time series irreversibility and entropy production has been recently investigated in thermodynamic systems operating away from equilibrium. In this work we explore this concept in the context of financial time series.…

Statistical Finance · Quantitative Finance 2016-01-11 Lucas Lacasa , Ryan Flanagan

When considering two or more time series of functions or curves, for instance those derived from densely observed intraday stock price data of several companies, the empirical cross-covariance operator is of fundamental importance due to…

Statistics Theory · Mathematics 2017-04-04 Gregory Rice , Marco Shum

This paper focuses on the prevalent performance imbalance in the stages of incremental learning. To avoid obvious stage learning bottlenecks, we propose a brand-new stage-isolation based incremental learning framework, which leverages a…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Yabin Wang , Zhiheng Ma , Zhiwu Huang , Yaowei Wang , Zhou Su , Xiaopeng Hong

In many applications it is desirable to infer coarse-grained models from observational data. The observed process often corresponds only to a few selected degrees of freedom of a high-dimensional dynamical system with multiple time scales.…

Statistics Theory · Mathematics 2015-05-06 Serafim Kalliadasis , Sebastian Krumscheid , Grigorios A. Pavliotis

We study partially linear models when the outcome of interest and some of the covariates are observed in two different datasets that cannot be linked. This type of data combination problem arises very frequently in empirical microeconomics.…

Econometrics · Economics 2023-08-23 Xavier D'Haultfœuille , Christophe Gaillac , Arnaud Maurel

Unlike the more commonly analyzed ECG or PPG data for activity classification, heart rate time series data is less detailed, often noisier and can contain missing data points. Using the BigIdeasLab_STEP dataset, which includes heart rate…

Machine Learning · Computer Science 2024-08-19 Michael Beekhuizen , Arman Naseri , David Tax , Ivo van der Bilt , Marcel Reinders

Data integration, or the strategic analysis of multiple sources of data simultaneously, can often lead to discoveries that may be hidden in individualistic analyses of a single data source. We develop a new unsupervised data integration…

Methodology · Statistics 2021-04-06 Tiffany M. Tang , Genevera I. Allen

Information theory provides ideas for conceptualising information and measuring relationships between objects. It has found wide application in the sciences, but economics and finance have made surprisingly little use of it. We show that…

Statistical Finance · Quantitative Finance 2013-05-02 Galen Sher , Pedro Vitoria
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