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What P vs NP is actually about
from blog Vasek Rozhon's blog, | ↗ original
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The hidden beauty of the A* algorithm
4 Sept 2024 |
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We made a video about a nonstandard way to understand the A* algorithm. This blog post collects a few more clarifications, thoughts, and links. Another Example of a Run of A* Here is another run of A*, this time from Sarajevo (in the Balkans) to southeast Italy. You can notice that at the beginning, there … Continue reading The hidden beauty of...
The most powerful (and useless) algorithm
3 Sept 2024 |
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We made a video about Levin’s universal search. This blog post collects a few more clarifications / interesting related facts. How to actually make the algorithm asymptotically optimal There are a few subtleties that we need to take care of if we really want to claim that our algorithm is asymptotically optimal algorithm for factoring. … Continue...
Avi Wigderson has won the Turing Award
18 May 2024 |
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Recently, Avi Wigderson won the Turing Award (see 1, 2, 3, 4) and we decided to make a video explaining a bit about his work on derandomization. This was definitely one of our most ambitious projects at Polylog. Anything with randomness and complexity theory is inherently hard to explain in 15 minutes, so we needed … Continue reading Avi...
Why arguing generals matter for the Internet
29 Mar 2024 |
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We made a new video with the Polylog team! This post collects some interesting bits that did not make it into the final cut. Also, we promised a follow-up video with one of my all-time favorite mathematical proofs. Upon some reflection and due to the relatively low number of views of the video, I will … Continue reading Why arguing generals...
If there is no reason for structure, assume there is none.
24 Sept 2023 |
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In the book Surely, You Are Joking, Mr. Feynman, Richard Feynman tells a story of how he provoked math students at Princeton by asking them to explain what problems they were working on. He would then tell them pretty much instantly what the answer to their problem is. The catch is: just the answer, no … Continue reading If there is no reason for...