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ARTIFICIAL INTELLIGENCE OF NEUROMORPHIC SYSTEMS

From Digital, Analogue, Quantum, and Brain-Oriented Computing to Hybrid AI

Klaus Mainzer

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World Scientific Publishing Company img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

This book argues for neuromorphic systems as a technology of the future, which are oriented towards the energy efficiency of natural brains. Energy efficiency is a dramatic claim in times of environmental and climate challenges which should consider the sustainability goals of the United Nations (UN). Mathematically, neuromorphic computing is connected to analogue ('real') computing, which theoretically overcomes the limits of digital Turing computability. Therefore, the book also considers material sciences and engineering sciences which start to realize neuromorphic computing in hardware. Other mathematical formalisms such as quantum mechanics also open up new solutions (e.g., quantum computing) beyond the limits of digital Turing computability. These research fields are no longer merely of theoretical interest, they promise increasing innovation power of market interest. Nevertheless, neuromorphic computing is connected with deep logical, mathematical, and epistemic questions. Does it open new avenues to Artificial General Intelligence (AGI)? All these tendencies of research and innovation demonstrate that we need more integrated research in the foundations of logic, mathematics, physics, engineering sciences, cognitive science, and philosophy. The book is a plea for this kind of research.

Contents:

  • Introduction
  • Foundations of Digital Computability
  • Complexity Degrees of Digital Computability
  • Foundations of Real Computability
  • Complexity Degrees of Real Computability
  • Real Computability of Neural Networks
  • Digital Limits of Real Computing
  • Real Solvability of Real Computing
  • Limits and Solvability of Machine Learning
  • Limits and Solvability of Quantum Computing
  • Limits and Solvability of Relativistic Computing
  • Neurobiological and Cognitive Foundations of Neuromorphic Systems
  • Technological Prospects of Electronic Neuromorphic Systems
  • Technological Prospects of Photonic Neuromorphic Systems
  • Strategic Prospects of Neuromorphic Systems with Sustainable and Responsible AI

Readership: Academia, graduate students, advanced researchers in the interdisciplinary field of neuromorphic computing from foundations of digital, analogue, real, and quantum computability to electrical, electronic, and photonic engineering, material science of neuromorphic chips, brain and cognitive research, machine learning and artificial intelligence.

Klaus Mainzer is professor emeritus at the TUM Senior Excellence Faculty of the Technical University of Munich and senior professor at the Carl Friedrich von Weizsäcker Center at the University of Tübingen (Germany). He has worked on the foundations of mathematics, computability theory, complex dynamical systems, and artificial intelligence. Besides several research groups on these topics, he is currently in the advisory board of the future cluster 'Neuromorphic Systems — AI' of the German Ministery of Research and Education (BMBF). He was founding director and chairman of several university centers and is member of several academies such as, e.g., the German National Academy of Science and Engineering (acatech) and the European Academy of Sciences and Arts (currently as president). As author, he is well known with internationally translated books such as Thinking in Complexity (New York 5th edition 2007), Local Activity Principle (with Leon Chua, London 2013), Proof and Computation I–II (with Peter Schuster and Helmut Schwichtenberg, Singapore 2018–2022), The Digital and the Real World (Singapore 2018), Artificial Intelligence. When do Machines take over? (Berlin 2nd edition 2019), Quantencomputer. Von der Quantenwelt zur Künstlichen Intelligenz (Berlin 2020), Limits of AI - Theoretical, Practical, Ethical (with Reinhard Kahle: Berlin 2024).

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