Hacker News · AI 热帖· ibobev·· 11 天前65
《生成式 AI 基础小书：直观数学入门》发布修订版
The Little Book of Generative AI Foundations: An Intuitive Mathematical Primer
要点速览
这本书提供紧凑的推导式介绍，讲解现代生成式 AI 的数学基础。它通过连接主要生成模型家族（从 PCA、变分自编码器到扩散模型、GAN 等）的思想，构建连贯的理解路径。修订版增加了视觉解释，篇幅 195 页，适合对数学感兴趣的研究者、实践者和学生。
正文
Abstract:This book provides a compact, derivation-oriented introduction to the mathematical foundations of modern generative artificial intelligence. Rather than surveying every recent architecture or implementation detail, it develops a coherent route through the ideas connecting major families of generative models, from PCA, probabilistic PCA, variational autoencoders, and diffusion models to normalising flows, autoregressive factorisations, GANs, Wasserstein GANs, and energy-based models. The aim is to make the structure of generative modelling more accessible without removing the mathematical substance needed to understand how these models are derived and related. The book is intended as a foundation-building primer for mathematically curious researchers, practitioners, and students.
| Comments: | Revised preprint version, 195 pages. Added visual explanations throughout. Comments and corrections are welcome |
| Subjects: | Machine Learning (cs.LG); Artificial Intelligence (cs.AI) |
| Cite as: | arXiv:2605.29713 [cs.LG] |
| (or arXiv:2605.29713v2 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.29713 arXiv-issued DOI via DataCite |
Submission history
From: Tianhua Chen [view email]
[v1]
Thu, 28 May 2026 10:12:00 UTC (125 KB)
[v2]
Tue, 8 Sep 2026 07:17:36 UTC (1,168 KB)
来源: Hacker News · AI 热帖 · arxiv.org