seminar this monday

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kozmath

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Apr 19, 2024, 12:58:59 PMApr 19
to Kolmogorov seminar on complexity
https://u-bordeaux-fr.zoom.us/j/88402787361?pwd=WktCdEhBT3pXN0pLUGg4Z3RuMlpsQT09 Date: April 22, 2024. Time: 18:30 (Moscow time), 17:30 (CET). Speaker: Ibragim Mamilov Title: Circuits for Majority -- generalizing the Valiant's construction

Abstract:
Valiant in 1984 gave a simple randomized construction of an $O(log n)$-depth monotone formula for the majority function. In fact, it was noticed later by different people that his argument actually gives an $O(log n)$-depth formula for Majority that only uses Maj_3 gates --majorities on 3 bits. In this talk, we will establish the following generalization -- Maj_n can be computed by an O(log_k n)-depth formula that only uses Maj_k gates, for every k and n. One simple application of this fact is that Maj_n can be computed by an unbounded fan-in polynomial-size O(log n / log log n)-depth monotone circuit, and this is tight due to the Razborov-Smolensky bound.

-- Saludos Sasha

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kozmath

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Apr 22, 2024, 10:35:57 AMApr 22
to Kolmogorov seminar on complexity

Just in case - 17:30 CEST (Central European ~Summer~ Time, like one that you have now if your are in France, for example)

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