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Difference Equations and Machine Learning / / by Dušan Stipanović



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Autore: Stipanović Dusan Visualizza persona
Titolo: Difference Equations and Machine Learning / / by Dušan Stipanović Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025
Edizione: 1st ed. 2025.
Descrizione fisica: 1 online resource (187 pages)
Disciplina: 515.625
515.75
Soggetto topico: Difference equations
Functional equations
Machine learning
Artificial intelligence
Mathematical analysis
Neural networks (Computer science)
Mathematics
Difference and Functional Equations
Machine Learning
Artificial Intelligence
Analysis
Mathematical Models of Cognitive Processes and Neural Networks
Applications of Mathematics
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Difference Equations and Machine Learning  Visualizza cluster
ISBN: 3-032-00910-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9911034857903321
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Serie: Synthesis Lectures on Mathematics & Statistics, . 1938-1751