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lucatrevisan.wordpress.com
| | nickhar.wordpress.com
3.4 parsecs away

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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...
| | algorithmsoup.wordpress.com
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| | The ``probabilistic method'' is the art of applying probabilistic thinking to non-probabilistic problems. Applications of the probabilistic method often feel like magic. Here is my favorite example: Theorem (Erdös, 1965). Call a set $latex {X}&fg=000000$ sum-free if for all $latex {a, b \in X}&fg=000000$, we have $latex {a + b \not\in X}&fg=000000$. For any finite...
| | gilkalai.wordpress.com
3.8 parsecs away

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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...
| | rpihlgrenblog.wordpress.com
10.8 parsecs away

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| What's going to happen this year? Let's see what happens...