Deep Manifold
Through the lens of manifold covers, we open a mathematical window into neural networks. At its core lies something unexpectedly simple: inequality, integration, and differentiation.
| Platform |  | Pricing | Only free issues | Publishes | Daily |
|---|---|---|---|---|---|
| Issues | 173 | Founded | 2 years ago | Last Issue | 5 days ago |
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deepmanifold.substack.comLatest Issues
AI 对齐是一个数学问题
English Edition: AI Alignment Is a Mathematical Problem
AI 对齐再次受到高度关注，相关讨论非常广泛，也变得越来越紧迫。与此同时，领先的 AI 实验室正在激烈竞争，试图用前沿模型解决一些最困难的数学问题。然而，相比之下，人们对 AI 自身的数学却关注甚少。
这形成了一个非常明显的矛盾：我们越来越相信 AI 可以帮助解决人类认为极其困难的数学问题，却常常把 AI 自身的数学结构当作一个黑箱。在 AI 对齐的讨论中，有一...
AI Alignment Is a Mathematical Problem
Chinese Edition: AI 对齐是一个数学问题
AI alignment is once again receiving serious attention, the debate is broad and increasingly urgent. At the same time, leading AI labs are in a fierce race to use frontier models to solve some of the most diff...
从数值验证到 AI 湿实验室
English Edition: From Numerical Verification to the AI Wet Lab
AI 验证和基准测试常常被讨论得仿佛是现代人工智能带来的新问题。其实并不是。其背后的科学问题要古老得多，因为 AI 是可学习的数值计算。
数值计算从来不会因为程序给出了一个答案，就被认为是正确的。数值结果是在有限精度运算、数值表示、迭代过程、边界条件、近似以及建模假设下产生的。一个计算过程即使平滑收敛，也仍然可能收敛到错误的结果；它也可能给出一个在...
From Numerical Verification to the AI Wet Lab
Chinese Edition: 从数值验证到 AI 湿实验室
AI verification and benchmarking are often discussed as if they were new problems created by modern artificial intelligence. They are not. The underlying scientific problem is much older, because AI is learn...
AI在数学上不是黑箱
English Edition: AI Is Not a Mathematical Black Box
AI 常常被描述为一个黑箱，但从数学上看，它并不是。神经网络中的每一个操作，都是明确的数值计算。真正尚未厘清的是：如何理解学习过程中逐渐形成的数学结构。过去两年，我们在 Deep Manifold Part 1: Anatomy of Neural Network Manifold 和 Deep Manifold Part 2: Neural Network Mathem...
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Through the lens of manifold covers, we open a mathematical window into neural networks. At its core lies something unexpectedly simple: inequality, integration, and differentiation.
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