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Global Warming?

January 30, 2014


It snowed in Atlanta, and we are closed, for the foreseeable future—where is global warming?

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Atlanta is frozen. Here is what we looked like the other night.

Today I thought I might talk about the weather in Atlanta, and its connection to mathematical paradoxes. Read more…

Progress On The Jacobian Conjecture

January 29, 2014


More on the crypto approach to the Jacobian Conjecture

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Arno van Essen is one of the world experts on the Jacobian conjecture (JC)—we have discussed his work before here. He has made many contributions to it, with my favorite being: To Believe Or Not To Believe: The Jacobian Conjecture. I like his attitude about conjectures: I think we should be more skeptical about our own. Oh well, few of my colleagues feel this way about {\mathsf{P \neq NP}}, for example.

Today I want to update a previous discussion on the JC, and prove a new theorem. Read more…

Zack’s Mom Knows

January 25, 2014


A puzzle with a story

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Dick Karp needs no introduction. So I will give him none. Okay I will say that it has been an honor to know him for many years—we met right after I graduated from CMU, a pleasure to work with him on a few projects, and always fun to see.

Today I wish to talk about a recent dinner conversation I had with Dick and Noga Alon. Read more…

Anti-Social Networks

January 22, 2014


Applications of social networks to arbitrary graphs

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Tim Roughgarden is a faculty member at Stanford, with interests in modern algorithms—my term. So his research is all about auctions, game theory, microeconomics, and social networks. You can see his visible hand here, from time to time. Read more…

Making Learning Less Shattering

January 19, 2014


COLT deadline is Fri. Feb. 7

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Columbia University source.

Vladimir Vapnik is one of the founding visionaries of Computational Learning Theory. His papers in 1963 with his advisor Aleksandr Lerner and in 1964 with Aleksey Chervonenkis are considered foundational for the Support Vector Machine model, which Vapnik himself ushered into its modern form in 1995 in joint work with Corinna Cortes. Vapnik and Chervonenkis got their initials into the theory walk of fame with the concept of VC-dimension in statistical classification. A 2008 interview with him titled “Learning Has Just Started” is still featured on the permanent page of the Computational Learning Theory (COLT) conferences and association.

Today Ken and I wish to note that my colleague Nina Balcan is chairing the COLT 2014 program committee, and talk about ways we might simplify learning—at least learning our field. Read more…

Bounds On Binomial Coefficents

January 15, 2014


A simple but useful bound on binomial coefficients

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Andreas von Ettingshausen was a German mathematician and physicist who lived in the early part of the 19{^{th}} century. He studied philosophy and jurisprudence, but later taught and wrote exclusively on mathematics and physics. Something that today, a mere 200 years later, would be impossible.

Today I wish to share a simple inequality with you on binomial coefficients.
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Details Left To The Reader…

January 12, 2014


The buck stops here—on a blog, that is

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Stasys Jukna has written a comprehensive book on Boolean circuit complexity, called Boolean Function Complexity: Advances and Frontiers. It includes a discussion of Mike Fischer’s Theorem on negations, which we recently re-gifted.

Today Ken and I would like to fill in some missing details to Mike’s famous result.
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A Shameless Plug

January 9, 2014


Our new book is finally out

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Cropped from EuroGP’08 src.

Ronan Nugent is our editor at the publisher Springer DE. He is a combination of an acquisitions editor—or commissioning editor in the British Isles—and a project editor. The former signs up the authors, and the latter sees the copy through from the manuscript to bound book

Today Ken and I want to thank him for helping get our latest book published.
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Predictions For The New Year

January 1, 2014


For 2014, that is

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Cropped from Guardian article.

Isaac Asimov was one of the most prolific writers of all times—he wrote or edited over 500 books. In his Foundation series a mathematician finds out that the future can be predicted based on equations.

Today Ken and I wish to make several predictions about the new year, without using any equations.
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The Winner Is…

December 30, 2013


Our selections for best results of the year

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Terry Gilliam is the director of the movie The Zero Theorem. This science fiction film came out just this past year, 2013, but completes a dystopian trilogy with Gilliam’s amazing 1985 film Brazil and his 1995 film 12 Monkeys. The new film’s lead character, named Qohen Leth, is working on a formula to determine whether life holds meaning.

Today Ken and I want to announce the GLL winners for best results of 2013. No, Qohen Leth is not among the winners.

Read more…