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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Tanaka, Akinori |
Deep Learning and Physics |
I11729 |
2021 |
eBook |
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| 2 |
Tanaka, Akinori |
Superconformal Index on RP2 ?? S1 and 3D Mirror Symmetry |
I09758 |
2016 |
eBook |
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1.
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| Title | Deep Learning and Physics |
| Author(s) | Tanaka, Akinori;Tomiya, Akio;Hashimoto, Koji |
| Publication | Singapore, Springer Nature Singapore, 2021. |
| Description | XIII, 207 p. 46 illus., 29 illus. in color : online resource |
| Abstract Note | What is deep learning for those who study physics? Is it completely different from physics? Or is it similar? In recent years, machine learning, including deep learning, has begun to be used in various physics studies. Why is that? Is knowing physics useful in machine learning? Conversely, is knowing machine learning useful in physics? This book is devoted to answers of these questions. Starting with basic ideas of physics, neural networks are derived naturally. And you can learn the concepts of deep learning through the words of physics. In fact, the foundation of machine learning can be attributed to physical concepts. Hamiltonians that determine physical systems characterize various machine learning structures. Statistical physics given by Hamiltonians defines machine learning by neural networks. Furthermore, solving inverse problems in physics through machine learning and generalization essentially provides progress and even revolutions in physics. For these reasons, in recent years interdisciplinary research in machine learning and physics has been expanding dramatically. This book is written for anyone who wants to learn, understand, and apply the relationship between deep learning/machine learning and physics. All that is needed to read this book are the basic concepts in physics: energy and Hamiltonians. The concepts of statistical mechanics and the bracket notation of quantum mechanics, which are explained in columns, are used to explain deep learning frameworks. We encourage you to explore this new active field of machine learning and physics, with this book as a map of the continent to be explored |
| ISBN,Price | 9789813361089 |
| Keyword(s) | 1. Computational Physics and Simulations
2. COMPUTER SIMULATION
3. EBOOK
4. EBOOK - SPRINGER
5. MACHINE LEARNING
6. MATHEMATICAL PHYSICS
7. STATISTICAL PHYSICS
8. Theoretical, Mathematical and Computational Physics
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11729 |
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On Shelf |
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2.
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| Title | Superconformal Index on RP2 ?? S1 and 3D Mirror Symmetry |
| Author(s) | Tanaka, Akinori |
| Publication | Singapore, Springer Singapore, 2016. |
| Description | XII, 83 p : online resource |
| Abstract Note | The author introduces the supersymmetric localization technique, a new approach for computing path integrals in quantum field theory on curved space (time) defined with interacting Lagrangian. The author focuses on a particular quantity called the superconformal index (SCI), which is defined by considering the theories on the product space of two spheres and circles, in order to clarify the validity of so-called three-dimensional mirror symmetry, one of the famous duality proposals. In addition to a review of known results, the author presents a new definition of SCI by considering theories on the product space of real-projective space and circles. In this book, he explains the concept of SCI from the point of view of quantum mechanics and gives localization computations by reducing field theoretical computations to many-body quantum mechanics. He applies his new results of SCI with real-projective space to test three-dimensional mirror symmetry, one of the dualities of quantum field theory. Real-projective space is known to be an unorientable surface like the Mobius strip, and there are many exotic effects resulting from Z2 holonomy of the surface. Thanks to these exotic structures, his results provide completely new evidence of three-dimensional mirror symmetry. The equivalence expected from three-dimensional mirror symmetry is transformed into a conjectural non-trivial mathematical identity through the new SCI, and he performs the proof of the identity using a q-binomial formula |
| ISBN,Price | 9789811013980 |
| Keyword(s) | 1. ALGEBRA
2. EBOOK
3. EBOOK - SPRINGER
4. Field theory (Physics)
5. Field Theory and Polynomials
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09758 |
|
|
On Shelf |
|
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