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Difference equations and machine learning

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Difference equations and machine learning/ by Dušan Stipanović.
作者:	Stipanović, Dušan.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xii, 143 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Difference equations. -
電子資源:	https://doi.org/10.1007/978-3-032-00910-4
ISBN:	9783032009104

Difference equations and machine learning
Stipanović, Dušan.

Difference equations and machine learning[electronic resource] /by Dušan Stipanović. - Cham :Springer Nature Switzerland :2025. - xii, 143 p. :ill., digital ;24 cm. - Synthesis lectures on mathematics & statistics,1938-1751. - Synthesis lectures on mathematics & statistics..

Introduction -- Linear Difference Equations -- Nonlinear Difference Equations -- Stability and Chaotic Behaviors of Difference Equations -- Control of Difference Equations -- Applications to Neural Networks and Machine Learning -- Conclusions.

This book presents in-depth explanations of well-known and recognized behaviors of neural networks in machine learning. In addition, the author provides novel technical analyses of behaviors of discrete-time dynamical systems modeled as difference equations. These analyses and their outcomes are closely related to models of very well-known neural networks such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) neural networks, which are widely used in machine learning and artificial intelligence (AI) applications. The author also discusses difference equations and their relevance to neural networks, machine learning, and AI. In addition, this book: Includes characterizations of difference equations and technical prospectives of discrete-time systems Provides new insights into the dynamical behaviors of some of the most popular neural networks used in machine learning Discusses novel technical analyses of discrete-time dynamical systems modeled as difference equations.

ISBN: 9783032009104

Standard No.: 10.1007/978-3-032-00910-4doiSubjects--Topical Terms:

527665
Difference equations.

LC Class. No.: QA431 / .S75 2025

Dewey Class. No.: 515.45

Difference equations and machine learning
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505 0 $a Introduction -- Linear Difference Equations -- Nonlinear Difference Equations -- Stability and Chaotic Behaviors of Difference Equations -- Control of Difference Equations -- Applications to Neural Networks and Machine Learning -- Conclusions.
520 $a This book presents in-depth explanations of well-known and recognized behaviors of neural networks in machine learning. In addition, the author provides novel technical analyses of behaviors of discrete-time dynamical systems modeled as difference equations. These analyses and their outcomes are closely related to models of very well-known neural networks such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) neural networks, which are widely used in machine learning and artificial intelligence (AI) applications. The author also discusses difference equations and their relevance to neural networks, machine learning, and AI. In addition, this book: Includes characterizations of difference equations and technical prospectives of discrete-time systems Provides new insights into the dynamical behaviors of some of the most popular neural networks used in machine learning Discusses novel technical analyses of discrete-time dynamical systems modeled as difference equations.
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