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035   $a(DE-He213)978-3-032-00910-4
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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aDifference Equations and Machine Learning /$fby Du?an Stipanovi?
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (187 pages)
225 1 $aSynthesis Lectures on Mathematics & Statistics,$x1938-1751
311 08$a3-032-00909-X 
327   $aIntroduction -- 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.
330   $aThis book presents in-depth explanations of well-known and recognized behaviors of neural networks in machine learning. In addition, the author provides novel technical analyses of behaviors of discrete-time dynamical systems modeled as difference equations. These analyses and their outcomes are closely related to models of very well-known neural networks such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) neural networks, which are widely used in machine learning and artificial intelligence (AI) applications. The author also discusses difference equations and their relevance to neural networks, machine learning, and AI. In addition, this book: Includes characterizations of difference equations and technical prospectives of discrete-time systems Provides new insights into the dynamical behaviors of some of the most popular neural networks used in machine learning Discusses novel technical analyses of discrete-time dynamical systems modeled as difference equations.
410  0$aSynthesis Lectures on Mathematics & Statistics,$x1938-1751
606   $aDifference equations
606   $aFunctional equations
606   $aMachine learning
606   $aArtificial intelligence
606   $aMathematical analysis
606   $aNeural networks (Computer science)
606   $aMathematics
606   $aDifference and Functional Equations
606   $aMachine Learning
606   $aArtificial Intelligence
606   $aAnalysis
606   $aMathematical Models of Cognitive Processes and Neural Networks
606   $aApplications of Mathematics
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aMachine learning.
615  0$aArtificial intelligence.
615  0$aMathematical analysis.
615  0$aNeural networks (Computer science)
615  0$aMathematics.
615 14$aDifference and Functional Equations.
615 24$aMachine Learning.
615 24$aArtificial Intelligence.
615 24$aAnalysis.
615 24$aMathematical Models of Cognitive Processes and Neural Networks.
615 24$aApplications of Mathematics.
676   $a515.625
676   $a515.75
700   $aStipanovi?$b Dusan$01852739
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9911034857903321
996   $aDifference Equations and Machine Learning$94448627
997   $aUNINA