Charles R. Giardina's Books

A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing

By: Louis A. D'Alotto,Charles R. Giardina,Hua Luo

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A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing

By: Louis A. D'Alotto,Charles R. Giardina,Hua Luo

Aims to bridge the gap between parallel computer architectures and the creation of parallel digital signal processing (DSP) algorithms. This work offers an approach to digital signal processing utilizing the unified signal algebra environment to develop naturally occurring parallel DSP algorithms.;College or university book shops may order five or more copies at a special student price. Price is available on request.

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Page Count

312

Publisher

CRC Press

Published Date

ISBN 10

0824700252

ISBN 13

9780824700256

Many-Sorted Algebras for Deep Learning and Quantum Technology

By: Charles R. Giardina

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Many-Sorted Algebras for Deep Learning and Quantum Technology

By: Charles R. Giardina

Many-Sorted Algebras for Deep Learning and Quantum Technology presents a precise and rigorous description of basic concepts in Quantum technologies and how they relate to Deep Learning and Quantum Theory. Current merging of Quantum Theory and Deep Learning techniques provides a need for a text that can give readers insight into the algebraic underpinnings of these disciplines. Although analytical, topological, probabilistic, as well as geometrical concepts are employed in many of these areas, algebra exhibits the principal thread. This thread is exposed using Many-Sorted Algebras (MSA). In almost every aspect of Quantum Theory as well as Deep Learning more than one sort or type of object is involved. For instance, in Quantum areas Hilbert spaces require two sorts, while in affine spaces, three sorts are needed. Both a global level and a local level of precise specification is described using MSA. At a local level operation involving neural nets may appear to be very algebraically different than those used in Quantum systems, but at a global level they may be identical. Again, MSA is well equipped to easily detail their equivalence through text as well as visual diagrams. Among the reasons for using MSA is in illustrating this sameness. Author Charles R. Giardina includes hundreds of well-designed examples in the text to illustrate the intriguing concepts in Quantum systems. Along with these examples are numerous visual displays. In particular, the Polyadic Graph shows the types or sorts of objects used in Quantum or Deep Learning. It also illustrates all the inter and intra sort operations needed in describing algebras. In brief, it provides the closure conditions. Throughout the text, all laws or equational identities needed in specifying an algebraic structure are precisely described. - Includes hundreds of well-designed examples to illustrate the intriguing concepts in quantum systems - Provides precise description of all laws or equational identities that are needed in specifying an algebraic structure - Illustrates all the inter and intra sort operations needed in describing algebras

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Page Count

423

Publisher

Elsevier

Published Date

ISBN 10

044313698X

ISBN 13

9780443136986

Many-Sorted Algebras for Deep Learning and Quantum Technology

By: Charles R. Giardina

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Many-Sorted Algebras for Deep Learning and Quantum Technology

By: Charles R. Giardina

Average ratings

N/A

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Solve jigsaw puzzle

Age

Page Count

423

Publisher

Elsevier

Published Date

ISBN 10

044313698X

ISBN 13

9780443136986

Book's by Charles R. Giardina

A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing

A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing

Many-Sorted Algebras for Deep Learning and Quantum Technology

Many-Sorted Algebras for Deep Learning and Quantum Technology

Many-Sorted Algebras for Deep Learning and Quantum Technology

Many-Sorted Algebras for Deep Learning and Quantum Technology

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