TITLE: Discrepancy Theory and Randomized Controlled Trials ABSTRACT: Discrepancy theory tells us that it is possible to partition vectors into sets so that each set looks surprisingly similar to every...
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Given fixed integers a, b, c, which primes can be written as aX^2 + bXY + cY^2 for integers X, Y? This simple question in number theory has generated vast...
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Knowledge graphs (KGs), or knowledge bases, are large repositories of facts in the form of triples (subject, relation, object), e.g. (Edinburgh, capital_of, Scotland). Many models have been developed to succinctly...
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We begin with an introduction to arithmetic dynamics and heights attached to rational maps. We then introduce a dynamical version of Lang's conjecture concerning the minimal canonical height of non-torsion...
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All five-dimensional non-abelian gauge theories have a U(1) global symmetry associated with instantonic particles. I will describe a mixed ’t Hooft anomaly between this and other global symmetries such as the...
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Designing encoding and decoding circuits to send messages reliably over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates achievable...
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Zoom: https://harvard.zoom.us/j/977347126
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In this talk, I will summarize the current state of the art of transformer based language models and give examples on non-trivial reasoning task language models can solve in higher order logic...
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Richard Feynman once said "Anyone who wants to analyze the properties of matter in a real problem might want to start by writing down the fundamental equations and then try...
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One of the central problems in the study of deep learning theory is to understand complexity of the neural networks. In this talk, we will introduce the topological entropy from...
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