登入
選單
返回
Google圖書搜尋
Data-Driven Computational Methods
John Harlim
其他書名
Parameter and Operator Estimations
出版
Cambridge University Press
, 2018-07-12
主題
Computers / General
Mathematics / General
Mathematics / Applied
Mathematics / Discrete Mathematics
Mathematics / Probability & Statistics / General
Science / Physics / Astrophysics
Science / Earth Sciences / Meteorology & Climatology
ISBN
1108472478
9781108472470
URL
http://books.google.com.hk/books?id=4-RfDwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
Modern scientific computational methods are undergoing a transformative change; big data and statistical learning methods now have the potential to outperform the classical first-principles modeling paradigm. This book bridges this transition, connecting the theory of probability, stochastic processes, functional analysis, numerical analysis, and differential geometry. It describes two classes of computational methods to leverage data for modeling dynamical systems. The first is concerned with data fitting algorithms to estimate parameters in parametric models that are postulated on the basis of physical or dynamical laws. The second is on operator estimation, which uses the data to nonparametrically approximate the operator generated by the transition function of the underlying dynamical systems. This self-contained book is suitable for graduate studies in applied mathematics, statistics, and engineering. Carefully chosen elementary examples with supplementary MATLAB® codes and appendices covering the relevant prerequisite materials are provided, making it suitable for self-study.