This book is about the mathematical foundations of data science. 1. Introduction 2. Curses, Blessings, and Surprises in High Dimensions 3. Singular Value Decomposition and Principal Component Analysis 4. Linear Regression and Regularization 5. G
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Fields Medal 2026 list leaked, revealing Peking University alumni Hong Wang and Yu Deng as winners. Historic first for Chinese mathematicians in the same e
phemex.com·Hacker News: Front Page·3d ago·2 min readA 23-year-old student overturned an ancient conjecture about one of math’s simplest operations
scientificamerican.com·Science·3d ago·9 min read
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lighthouse.mq.edu.au7d agoFor $1<p\leq q$ we show that the Poisson semigroup $e^{-t\sqrt{-Δ}}$ on the $n$-sphere is hypercontractive from $L^{p}$ to $L^{q}$ in dimensions $n \leq 3$ if and only if $e^{-t\sqrt{n}} \leq \sqrt{\frac{p-1}{q-1}}$. We also show that the equivalence fail
Shared by @teortaxesTex ↗arxiv.org7d agoInformation theory, though originally developed for communications engineering, provides mathematical tools with broad applications across science. These tools characterize the fundamental limits of data compression and transmission in the presence of noi
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