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mathematicaloddsandends.wordpress.com | ||
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dominiczypen.wordpress.com
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| | | | | Motivation. I stumbled over the following hypergraph coloring concept when reading about an old (and open) problem by Erdos and Lovasz. Let $latex H=(V,E)$ be a hypergraph such that for all $latex e\in E$ we have $latex |e| > 1$, and let $latex Z \neq \emptyset$ be a set. Then a map $latex c:V\to Z$... | |
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mikespivey.wordpress.com
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| | | | | The Riemann zeta function $latex \zeta(s)$ can be expressed as $latex \zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}$, for complex numbers s whose real part is greater than 1. By analytic continuation, $latex \zeta(s)$ can be extended to all complex numbers except where $latex s = 1$. The power sum $latex S_a(M)$ is given by $latex S_a(M) =... | |
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statisticaloddsandends.wordpress.com
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| | | | | The fused lasso, introduced in Tibshirani et al. (2005) (Reference 1), is an extension of the lasso. While the lasso produces sparse models, the fused lasso produces models that are not only sparse, but favor a locally constant coefficient profile. Assume that we have observations $latex i = 1, \dots, n$. For each observation $latex... | |
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chava61photography.photo.blog
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