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 | 165 | Founded | 2 years ago | Last Issue | 8 days ago |
| Active | |||||
Read this Newsletter
deepmanifold.substack.comLatest Issues
The Mathematical Outlook of Deep Manifold
Chinese Edition: 深度流形的数学展望
Differential equations may be among the most important equations for describing the real world. Mathematically, differential equations can be studied through both algebra and geometry. Compared with algebra, geom...
深度流形的数学展望
English Edition: The Mathematical Outlook of Deep Manifold
微分方程可能是描述真实世界最重要的一类方程。数学上研究微分方程，有代数，也有几何。相比代数，几何对空间、变化、局部与整体的描述更有广度、深度和变化性。陈省身把现代微分几何推进到新的高度；丘成桐为了证明卡拉比猜想，发展了几何上的非线性微分方程，也就是后来所谓的几何分析，把微分几何进一步推进到非线性世界。但陈和丘都没有讲如果解“微分方程“, 微分方程没有解, 就...
当数学之美在 AI 中变得有用
English Edition: When Mathematical Beauty Becomes Useful in AI
数学的无用美和方程的解
有人把数学称为“无用的美”，这句话有它的道理。现实世界纷繁复杂、瑰丽多姿，既有结构，也有变化。江泽涵, 石根华老师的老师, 在上世纪五十年代末曾讲过一句很有意思的话：“通过微分方程的窗子，数学家看到现实世界的光。”这句话点出了一个很深的问题：如果我们希望用数学描述一个不断变化的真实世界，微分方程可能是最重要的语言之...
When Mathematical Beauty Becomes Useful in AI
English Edition: 当数学之美在 AI 中变得有用
The Useless Beauty of Mathematics
Mathematics has sometimes been called “useless beauty,” and there is some truth in that description. The real world is extraordinarily rich and complex, filled with b...
LLM 情绪的讨论，错过了真正的问题
English Edition: Why LLM Emotion Talk Misses the Real Question
Anthropic 关于 Claude 情绪概念的文章，是一个很好的例子：它一方面显示了 LLM 研究已经推进到什么程度，另一方面也说明公众讨论是如何很容易偏离方向的。文章认为，模型内部可以存在对情绪概念的表征，而且这些表征会在功能上影响行为；但同时，它也明确没有声称模型具有主观感受，或具有人类式的内在体验。这一区分很重要。然而，一旦“恐惧”“绝望”...
Audience Metrics
Subscribers, engagement, traffic and sponsorship for Deep Manifold.
| Subscribers | Engagement | 73 | Monthly Web Visits | ||
|---|---|---|---|---|---|
| Accepts Sponsors | Estimated Cost per Ad | ||||
Explore More
Authors
The writers behind this newsletter.
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.
Frequently Asked Questions
How can I access the email archive for Deep Manifold?
You can find recent issues that have been published by Deep Manifold on Reletter by scrolling up to where it says Latest Issues. Tap on the link for any of the most recent emails or hit More Issues to see older ones.
How many subscribers does Deep Manifold have?
To see how many people subscribe to Deep Manifold, simply upgrade your Reletter account. We provide readership numbers and lots of other stats for this newsletter so you can decide if it's worth reaching out to.
How can I advertise in Deep Manifold?
Newsletter advertising can be extremely effective when it's done right. Before you pitch Deep Manifold as a potential sponsor or partner, make sure that you've done your research and checked its newsletter stats with Reletter.
Then, personalize one of our winning pitching templates and send it to the right person using the contact info provided.
How much does it cost to sponsor a publication like Deep Manifold?
Newsletter ad rates (or CPM) vary depending on many factors, including industry, number of subscribers, open rate, ad placement and more.
To find out how much an ad will cost, contact Deep Manifold using the contact information provided and ask for a copy of their media kit.
How can I find newsletters related to Deep Manifold?
Scroll up to where it says Related Newsletters to see other publications like Deep Manifold. You can also search our email newsletter directory to discover other newsletters that cover the topics you're interested in.
How do I contact Deep Manifold?
Reletter provides this newsletter's website URL above, where you will often find their contact information. We also provide links to associated social media accounts and pitching templates so you can reach out fast.