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Shtetl-Optimized » Blog Archive » The 8000th Busy Beaver number eludes ZF set theory: new paper by Adam Yedidia and me

I've supervised a lot of great student projects in my nine years at MIT, but my inner nerdy teenager has never been as personally delighted by a project as it is right now.  Today, I'm proud to announce that Adam Yedidia, a PhD student at MIT (but an MEng student when he did most of this work),…
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when trees fall... | The New XOR Problem

In 1969, Marvin Minsky and Seymour Papert published Perceptrons: An Introduction to Computational Geometry. In it, they showed that a single-layer perceptron cannot compute the XOR function. The main argument relies on linear separability: Perceptrons are linear classifiers, which essentially means drawing a line to separate input that would result in 1 versus 0. You can do it in the OR and AND case, but not XOR. Of course, we’re way past that now, neural networks with one hidden layer can s...
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2:00PM Water Cooler 5/14/2021 | naked capitalism

Bird Song of the Day From Ethopia. I thought cranes would have more interesting calls than they do, but they all honk in more or less the same way. * * * #COVID19 At reader request, I’ve added this daily chart from 91-DIVOC. The data is the Johns Hopkins CSSE data. Here is the site. I feel I’m engaging in a macabre form of tape-watching. All the charts are becoming dull — approaching nominal, if you accept the “new normal” of cases, for example. Still whoops. I guess we’ll see if B...
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A Semitechnical Introductory Dialogue on Solomonoff Induction

LESSWRONG 88 ( Originally posted in December 2015: A dialogue between Ashley, a computer scientist whos never heard of i.  Unbounded analysis BLAINE:  Good evening, Msr. Ashley. ASHLEY:  Ive heard theres this thing called "Solomonoffs theory of inductive inference". BLAINE:  The rumors have spread, then. ASHLEY:  Yeah, so, what the heck is that about? BLAINE:  Invented in the 1960s by the mathematician Ray Solomonoff, the key idea in Solomonoff induction is to do sequence prediction by u...
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