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mathematicaloddsandends.wordpress.com
| | alanrendall.wordpress.com
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| | The theorem of the title is about dividing smooth functions by other smooth functions or, in other words, representing a given smooth function in terms of products of other smooth functions. A large part of the account which follows is based on that in the book 'Normal Forms and Unfoldings for Local Dynamical Systems' by...
| | linsdoodles.wordpress.com
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| | For XingfuMama's Pull up a seat Photo Challenge
| | 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...
| | breakthroughprize.org
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| [AI summary] The Breakthrough Prize Foundation announced the 2023 laureates in Life Sciences, Mathematics, and Fundamental Physics, honoring breakthroughs in AI-driven protein structure prediction, quantum information science, and neurodegenerative disease research.