Mathematical Foundations of Deep Learning
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866911528694841344 |
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| author | Ye, Xiaojing |
| author_facet | Ye, Xiaojing |
| contents | This draft book offers a comprehensive and rigorous treatment of the mathematical principles underlying modern deep learning. The book spans core theoretical topics, from the approximation capabilities of deep neural networks, the theory and algorithms of optimal control and reinforcement learning integrated with deep learning techniques, to contemporary generative models that drive today's advances in artificial intelligence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18387 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mathematical Foundations of Deep Learning Ye, Xiaojing Machine Learning Optimization and Control This draft book offers a comprehensive and rigorous treatment of the mathematical principles underlying modern deep learning. The book spans core theoretical topics, from the approximation capabilities of deep neural networks, the theory and algorithms of optimal control and reinforcement learning integrated with deep learning techniques, to contemporary generative models that drive today's advances in artificial intelligence. |
| title | Mathematical Foundations of Deep Learning |
| topic | Machine Learning Optimization and Control |
| url | https://arxiv.org/abs/2603.18387 |