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  • Connection Matrices in Combinatorial Topological Dynamics

    Series series Mathematics and Statistics (R0)
    This book provides an introduction to the theory of connection matrices in the context of combinatorial multivector fields. The theory of connection matrices was proposed by Conley and Franzosa for classical continuous-time dynamical systems as a tool for studying connecting orbits between isolated invariant sets. It generalizes the Morse complex in Morse theory, and has found numerous ... Leer más

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  • Cellular Automata And Complexity

    Collected Papers

    Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the ... Leer más

    $106.99 USD

  • Information Geometry and Its Applications

    Series series Mathematics and Statistics (R0)
    This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced ... Leer más

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  • Principles Of Quantum Artificial Intelligence

    In this book, we introduce quantum computation and its application to AI. We highlight problem solving and knowledge representation framework. Based on information theory, we cover two main principles of quantum computation — Quantum Fourier transform and Grover search. Then, we indicate how these two principles can be applied to problem solving and finally present a general model of a quantum ... Leer más

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  • Mathematics Of Autonomy: Mathematical Methods For Cyber-physical-cognitive Systems

    Mathematics of Autonomy provides solid mathematical foundations for building useful Autonomous Systems. It clarifies what makes a system autonomous rather than simply automated, and reveals the inherent limitations of systems currently incorrectly labeled as autonomous in reference to the specific and strong uncertainty that characterizes the environments they operate in. Such complex real-world ... Leer más

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  • Neural-Based Orthogonal Data Fitting

    The EXIN Neural Networks

    Series Libro 66 - Adaptive and Cognitive Dynamic Systems: Signal Processing, Learning, Communications and Control
    The presentation of a novel theory in orthogonal regressionThe literature about neural-based algorithms is often dedicated to principal component analysis (PCA) and considers minor component analysis (MCA) a mere consequence. Breaking the mold, Neural-Based Orthogonal Data Fitting is the first book to start with the MCA problem and arrive at important conclusions about the PCA problem.The book ... Leer más

    $91.99 USD

  • A Mathematical Introduction to Compressive Sensing

    Series series Applied and Numerical Harmonic Analysis
    At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, ... Leer más

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  • Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

    In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics

    Series series Springer Nature Proceedings excluding Computer Science
    One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate ... Leer más

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  • Artificial Intelligence for Scientific Discoveries

    Extracting Physical Concepts from Experimental Data Using Deep Learning

    de Raban Iten ...
    Series series Physics and Astronomy (R0)
    Will research soon be done by artificial intelligence, thereby making human researchers superfluous? This book explains modern approaches to discovering physical concepts with machine learning and elucidates their strengths and limitations. The automation of the creation of experimental setups and physical models, as well as model testing are discussed. The focus of the book is the automation of ... Leer más

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  • Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

    Series series Princeton Series in Applied Mathematics
    Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also ... Leer más

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  • Manifold Learning Theory and Applications

    Edición de Yun Fu, Yunqian Ma ...
    Trained to extract actionable information from large volumes of high-dimensional data, engineers and scientists often have trouble isolating meaningful low-dimensional structures hidden in their high-dimensional observations. Manifold learning, a groundbreaking technique designed to tackle these issues of dimensionality reduction, finds widespread ... Leer más

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  • Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

    Series Libro 212 - Mathematics in Science and Engineering
    In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of ... Leer más

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