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Differential equations in data analysis

delete2020-11-30
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PRE
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Itai Dattner *
DOI:10.1002/wics.1534delete
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Abstract

Abstract

En 中文
Differential equations have proven to be a powerful mathematical tool in science and engineering, leading to better understanding, prediction, and control of dynamic processes. In this paper, we review the role played by differential equations in data analysis. More specifically, we consider the intersection between differential equations and data analysis in the light of modern statistical learning methodologies. This article is categorized under: Data: Types and Structure > Time Series, Stochastic Processes, and Functional Data Statistical and Graphical Methods of Data Analysis > Nonparametric Methods Statistical Models > Nonlinear Models
Keywords:
data science
differential equations
dynamical system
statistical inference
statistical learning
time series
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Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

W
Wiley Interdisciplinary Reviews and Computational Statistics
IF:
5.4
Papers:
201
Citations:
5.1K

Organization

U
University of Haifa
Scholars:
5.9K
Papers: 6.1K
Citations: 6.4K
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