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francisbach.com
| | fa.bianp.net
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| | There's a fascinating link between minimization of quadratic functions and polynomials. A link that goes deep and allows to phrase optimization problems in the language of polynomials and vice versa. Using this connection, we can tap into centuries of research in the theory of polynomials and shed new light on ...
| | blogs.princeton.edu
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| | [latexpage] Sum of squares optimization is an active area of research at the interface of algorithmic algebra and convex optimization. Over the last decade, it has made significant impact on both d...
| | jhui.github.io
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| | Deep learning
| | djalil.chafai.net
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| This tiny post is adapted from the introduction of a recent work with David García-Zelada and Paul Jungon the macroscopics and edge of a planar jellium seen as a Coulomb gas. Potential theory.The Coulomb kernel $g$ in $\mathbb{R}^d$, $d\geq1$, is given for all $x\in\mathbb{R}^d$ by \[ g(x)=\begin{cases}\displaystyle\log\frac{1}{|x|}&\text{if $d=2$}\\[1em]\displaystyle\frac{1}{(d-2)|x|^{d-2}}&\text{if $d\neq2$}\end{cases}.\] The Coulomb...