Yet another post on a.p. free set bounds

The last few weeks have seen amazing results in additive combinatorics, where following a breakthrough by Croot, Lev and Pach, several longstanding open questions have been resolved using short simple proofs. I haven’t been following this progress, but fortunately Bobby Kleinberg gave an excellent talk yesterday in our reading group about some of these works, … Continue reading Yet another post on a.p. free set bounds

Happy towel day

Tomorrow, Wednesday May 25, is the international Towel Day in honor of Douglas Adams, author of the 5-book trilogy "The hitchhiker's Guide to the Galaxy". In his book (and his prior 1978 radio series) Adams gave a nice illustration of computational complexity and non uniform computation in his story about the "deep thought" computer who took 7.5 million … Continue reading Happy towel day

Highlights of Algorithms registration

Aleksander Madry asks me to announce that registration for the Highlights of Algorithms conference he posted about is open. The registration link is http://highlightsofalgorithms.org/registration/. (Early registration is due April 30.) Also, the preliminary program is available at http://highlightsofalgorithms.org/program/. The program is packed with 28 invited talks and with even a larger number of short contributions. Those interested in attending … Continue reading Highlights of Algorithms registration

Bayesianism, frequentism, and the planted clique, or do algorithms believe in unicorns?

(See also pdf version , and these lecture notes) The divide between frequentists and Bayesians in statistics is one of those interesting cases where questions of philosophical outlook have actual practical implications. At the heart of the debate is Bayes’ theorem: $latex \Pr[A|B] = \Pr[A \cap B ]/\Pr[B]\;.$ Both sides agree that it is correct, but they disagree … Continue reading Bayesianism, frequentism, and the planted clique, or do algorithms believe in unicorns?

Chaining methods continued (guest post by Jelani Nelson)

[This is the sequel to Jelani's previous post on chaining method; for more, see the post STOC workshop on this topic --Boaz] 1. A case study: (sub)gaussian processes To give an introduction to chaining, I will focus our attention on a concrete scenario. Suppose we have a bounded (but possibly infinite) collection of vectors $latex {T\subset \mathbb{R}^n}&fg=000000$. … Continue reading Chaining methods continued (guest post by Jelani Nelson)