1.

Record Nr.

UNINA9910983084603321

Autore

Akhmet Marat

Titolo

Artificial Neural Networks : Alpha Unpredictability and Chaotic Dynamics / / by Marat Akhmet, Madina Tleubergenova, Akylbek Zhamanshin, Zakhira Nugayeva

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025

ISBN

9783031689666

3031689666

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (256 pages)

Altri autori (Persone)

TleubergenovaMadina

ZhamanshinAkylbek

NugayevaZakhira

Disciplina

006.3

Soggetti

Artificial intelligence

Machine learning

Neural networks (Computer science)

Artificial Intelligence

Machine Learning

Mathematical Models of Cognitive Processes and Neural Networks

Statistical Learning

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Preface -- 1. Introduction -- 2. Preliminaries -- 3. Hopfield-type neural networks -- 4. Shunting inhibitory cellular neural networks -- 5. Inertial neural networks with discontinuities -- 6. Cohen-Grossberg neural networks.

Sommario/riassunto

Mathematical chaos in neural networks is a powerful tool that reflects the world’s complexity and has the potential to uncover the mysteries of the brain’s intellectual activity. Through this monograph, the authors aim to contribute to modern chaos research, combining it with the fundamentals of classical dynamical systems and differential equations. The readers should be reassured that an in-depth understanding of chaos theory is not a prerequisite for working in the area designed by the authors. Those interested in the discussion can have a basic



understanding of ordinary differential equations and the existence of bounded solutions of quasi-linear systems on the real axis. Based on the novelties, this monograph aims to provide one of the most powerful approaches to studying complexities in neural networks through mathematical methods in differential equations and, consequently, to create circumstances for a deep comprehension of brain activity and artificial intelligence. A large part of the book consists of newly obtained contributions to the theory of recurrent functions, Poisson stable, and alpha unpredictable solutions and ultra Poincaré chaos of quasi-linear and strongly nonlinear neural networks such as Hopfield neural networks, shunting inhibitory cellular neural networks, inertial neural networks, and Cohen-Grossberg neural networks. The methods and results presented in this book are meant to benefit senior researchers, engineers, and specialists working in artificial neural networks, machine and deep learning, computer science, quantum computers, and applied and pure mathematics. This broad applicability underscores the value and relevance of this research area to a large academic community and the potential impact it can have on various fields. .



2.

Record Nr.

UNINA9910847597303321

Autore

Yang Li <1923->

Titolo

Crossing the Border: On the Quadruple-Evidence Method / / by Li Yang, Shuxian Ye

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024

ISBN

981-9977-50-9

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (240 pages)

Disciplina

001.30721

Soggetti

Literature

History

Anthropology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

The Quadruple-evidence Method in Retrospect -- The Fourth-dimension Evidence: Theoretical Legitimacy -- The Quadruple-evidence Method in Methodology -- The Owl as the Cultural Symbol from the Perspective of Comparative Iconology -- A Study of the Serial Jade Pedants Unearthed from the Dou Family’s Tombs in the West Han Dynasty Based on the Inter-evidentiality -- On the Inter-evidence Again: The Jade ring Unearthed from the Tombs of the HanDynasty in Chaohu city and the Bear Totem of the Chu People -- A Third Exploration on the Evidence Interrelation: On the Myths of Heavenly Bear in the Han Dynasty -- The Chain of Evidence and the Great Tradition: An Interpretation of the Mystery of Er-snake in Classic of Mountains and Seas -- Summary and Prospect -- Reference -- Translator’s Note. .

Sommario/riassunto

This book is the first monograph of its kind in the academic world which comprehensively expounds the new methodology of humanities. The quadruple-evidence method is one which integrates quadruple-evidences to open up new horizon for interpretation of ancient culture in the three-dimensional manner. The first layer of evidence refers to documents passed down from the past; the second layer of evidence refers to local written materials; the third layer of evidence includes oral legends of anthropology and folklore and etiquette in the living



folk customs; the fourth layer of evidence refers to those ancient objects and images either unearthed in archaeological excavations or handed down from the past. The book consists of theoretical explorations and their applications in individual cases. While the first part studies the academic evolution, theory and methodological value of the quadruple-evidence method, the second part, in using the method in different cases, explores different historical and cultural phenomena in the history of China, attempting to extend the frontier of the origin of civilization from the approach of mythological study.