Differential equations in data analysis
Itai Dattner
Abstract
Abstract 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
Topics & Concepts
Nonparametric statisticsComputer scienceDifferential equationStatistical analysisNonlinear systemData analysisSeries (stratigraphy)Stochastic differential equationFunctional data analysisApplied mathematicsMathematicsData miningMachine learningEconometricsStatisticsMathematical analysisPhysicsPaleontologyQuantum mechanicsBiologyNeural Networks and ApplicationsControl Systems and IdentificationGaussian Processes and Bayesian Inference