Mathematics of deep learning : An introduction to foundational mathematics of neural nets (Record no. 200756)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02486nam a22002537a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260701092848.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260701b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783119144117 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 006.31 BER-M |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Berlyand, Leonid, |
| 245 ## - TITLE STATEMENT | |
| Title | Mathematics of deep learning : An introduction to foundational mathematics of neural nets |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd revised and extended edition. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Berlin ; Boston : |
| Name of publisher | De Gruyter, |
| Year of publication | 2026. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | vii, 150p. ; c24 cm. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This course aims at providing a mathematical perspective to some key elements of the so-called deep neural networks (DNNs). Much of the interest on deep learning has focused on the implementation of DNN-based algorithms. Our hope is that this compact textbook will offer a complementary point of view that emphasizes the underlying mathematical ideas. We believe that a more foundational perspective will help to answer important questions that have only received empirical answers so far.<br/><br/>Our goal is to introduce basic concepts from deep learning in a rigorous mathematical fashion, e.g. introduce mathematical definitions of deep neural networks (DNNs), loss functions, the backpropagation algorithm, etc.<br/><br/>We attempt to identify for each concept the simplest setting that minimizes technicalities but still contains the key mathematics.<br/><br/>The book focuses on deep learning techniques and introduces them almost immediately. Other techniques such as regression and SVM are briefly introduced and used as a steppingstone for explaining basic ideas of deep learning.<br/><br/>Throughout these notes, the rigorous definitions and statements are supplemented by heuristic explanations and figures. The book is organized so that each chapter introduces a key concept. When teaching this course, some chapters could be presented as a part of a single lecture whereas the others have more material and would take several lectures.<br/><br/> |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book presents a rigorous mathematical introduction to deep learning and neural networks. It explains the theoretical foundations of machine learning using concepts from linear algebra, optimization, probability, analysis, and modern mathematics, providing a comprehensive framework for understanding neural network models. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Machine learning |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Artificial intelligence |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Jabin, Pierre-Emmanuel |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books and Monographs |
| Full call number | Accession Number | Koha item type | Lost status | Damaged status | Permanent Location | Current Location | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price |
|---|---|---|---|---|---|---|---|---|---|---|
| 006.31 BER-M | 102993 | Books and Monographs | Central Library, NIT Jalandhar | Central Library, NIT Jalandhar | General Stacks | 29.06.2026 | New Delhi, Shankar's Book Agency Pvt. Ltd. | 7287.39 | ||
| 006.31 BER-M | 102994 | Books and Monographs | Central Library, NIT Jalandhar | Central Library, NIT Jalandhar | General Stacks | 29.06.2026 | New Delhi, Shankar's Book Agency Pvt. Ltd. | 7287.39 |