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lucatrevisan.wordpress.com
| | nickhar.wordpress.com
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| | 1. Low-rank approximation of matrices Let $latex {A}&fg=000000$ be an arbitrary $latex {n \times m}&fg=000000$ matrix. We assume $latex {n \leq m}&fg=000000$. We consider the problem of approximating $latex {A}&fg=000000$ by a low-rank matrix. For example, we could seek to find a rank $latex {s}&fg=000000$ matrix $latex {B}&fg=000000$ minimizing $latex { \lVert A - B...
| | gilkalai.wordpress.com
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| | https://lucatrevisan.wordpress.com/2024/04/27/feiges-conjecture-and-the-magic-of-kikuchi-graphs/#comments?page_id=4685 Luca Trevisan I'm reblogging here a beautiful post by Luca Trevisan from his blog "In Theory". The original post appeared a year ago in April 2024. A few weeks after this post was published, Luca sadly passed away at the age of 52. In this post, Luca masterfully describes the resolution of Feige's conjecture...
| | anuragbishnoi.wordpress.com
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| | The Ramsey number $latex R(s, t)$ is the smallest $latex n$ such that every graph on $latex \geq n$ vertices either contains a clique of size $latex s$ or an independent set of size $latex t$. Ramsey's theorem implies that these numbers always exist, and determining them (precisely or asymptotically) has been a major challenge...
| | vikramchatterji.wordpress.com
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| I write here from time to time.