Materias:

Materias: “…Àlgebra…”

Materias:

Tabla de Contenidos: “…Front Cover -- Many-Sorted Algebras for Deep Learning and Quantum Technology -- Copyright Page -- Dedication -- Contents -- List of figures -- Preface -- Acknowledgments -- 1 Introduction to quantum many-sorted algebras -- 1.1 Introduction to quantum many-sorted algebras -- 1.1.1 Algebraic structures -- 1.1.2 Many-sorted algebra methodology -- 1.1.3 Global field structure -- 1.1.4 Global algebraic structures in quantum and in machine learning -- 1.1.5 Specific machine learning field structure -- 1.1.6 Specific quantum field structure -- 1.1.7 Vector space as many-sorted algebra -- 1.1.8 Fundamental illustration of MSA in quantum -- 1.1.9 Time-limited signals as an inner product space -- 1.1.10 Kernel methods in real Hilbert spaces -- 1.1.11 R-Modules -- References -- 2 Basics of deep learning -- 2.1 Machine learning and data mining -- 2.2 Deep learning -- 2.3 Deep learning and relationship to quantum -- 2.4 Affine transformations for nodes within neural net -- 2.5 Global structure of neural net -- 2.6 Activation functions and cost functions for neural net -- 2.7 Classification with a single-node neural net -- 2.8 Backpropagation for neural net learning -- 2.9 Many-sorted algebra description of affine space -- 2.10 Overview of convolutional neural networks -- 2.11 Brief introduction to recurrent neural networks -- References -- 3 Basic algebras underlying quantum and NN mechanisms -- 3.1 From a vector space to an algebra -- 3.2 An algebra of time-limited signals -- 3.3 The commutant in an algebra -- 3.4 Algebra homomorphism -- 3.5 Hilbert space of wraparound digital signals -- 3.6 Many-sorted algebra description of a Banach space -- 3.7 Banach algebra as a many-sorted algebra -- 3.8 Many-sorted algebra for Banach* and C* algebra -- 3.9 Banach* algebra of wraparound digital signals -- 3.10 Complex-valued wraparound digital signals -- References…”

“…ISSAC '99 International Symposium on Symbolic and Algebraic Computation, Vancouver, BC, Canada - July 28 - 31, 1999…”

“…ISSAC 91 International Symposium on Symbolic Algebraic Computation, Bonn, Germany - July 15 - 17, 1991…”

Materias:

“…ISSAC '02 International Symposium on Symbolic and Algebraic Computation, Lille, France - July 07 - 10, 2002…”

“…The International Symposium on Symbolic and Algebraic Computation (ISSAC) is the premier conference for research in symbolic computation and computer algebra. …”

“…The International Symposium on Symbolic and Algebraic Computation (ISSAC) is the premier conference for research in symbolic computation and computer algebra. …”

Materias: “…Algebra Study and teaching…”