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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.

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Latest Issues

AI 正在把人类带回“石器时代”?

English Edition: Is AI Taking Humanity Back to the Stone Age?

当今 AI 领域有一种越来越流行的思想:只要有足够的数据、足够的芯片和足够大的模型,似乎什么都可以学出来。

这种思想推动了 AI 过去十几年的巨大进步,但也带来了一个值得深思的问题:我们是否正在用越来越昂贵的计算,重新探索人类过去几百年已经建立起来的数学和科学知识?

某种意义上,这种思维正在把人类带回“石器时代”: 重新开始摸着石头过河。

Cli...

14 days ago

Is AI Taking Humanity Back to the Stone Age?

Chinese Edition: AI 正在把人类带回“石器时代”?

A growing belief in mainstream AI research is that, given enough data, enough chips, and sufficiently large models, almost anything can be learned.

This belief has driven remarkable progress in AI over t...

14 days ago
1

Deep Manifold Interpretation

Like many others, I read AI papers on a very frequent basis. In early May, I started the 'Deep Manifold Interpretation' series as a way to examine the breadth and depth of the framework. People often ask me how to start learning about Deep...

15 days ago

人工智能与现代数学

English Edition: Artificial Intelligence and Modern Mathematics

纵观数学发展史,人类工具的进步始终与数学的发展密切相关。从计数工具到算术,从尺规测量到几何学,从天文观测与精密计时到微积分和数学物理,工具不仅扩大了人类解决问题的能力,也不断推动新的数学思想、方法和理论体系的诞生。

历史上,测量工具与数学发展相互促进:

  • 计数石、刻痕棒 → 算术: 从简单计数到基本运算。

  • 直尺、测量绳 → 几何...

22 days ago

Artificial Intelligence and Modern Mathematics

Chinese Edition: 人工智能与现代数学

Throughout the history of mathematics, advances in human tools have been closely intertwined with mathematical development. From counting tools to arithmetic, from rulers and compasses to geometry, and from astro...

22 days ago

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  • 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.

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