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Member Seminar Speaker: Aghil Alaee Title: Toroidal Positive Mass Theorem Abstract: In this talk, we review the positive mass conjecture in general relativity and prove a toroidal version of this conjecture in an asymptotically hyperbolic setting. |
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Speaker: Xin Guo, UC Berkeley Title: Generative Adversarial Networks (GANs): An Analytical Perspective Abstract: Generative models have attracted intense interests recently. In this talk, I will discuss one class of generative models, Generative Adversarial Networks (GANs). I will first provide a gentle review of the mathematical framework behind GANs. I will then proceed to discuss a few […] |
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https://youtu.be/5LXiQUsnHrI New Technologies in Mathematics Seminar Speaker: Dmitry Krotov, IBM Research - Cambridge Title: Modern Hopfield Networks for Novel Transformer Architectures Abstract: Modern Hopfield Networks or Dense Associative Memories are recurrent neural networks with fixed point attractor states that are described by an energy function. In contrast to conventional Hopfield Networks, which were popular in […] |
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Member Seminar Speaker: Gabriel Wong Title: Quantum information and extended topological quantum field theory Abstract: Recently, ideas from quantum information theory have played an important role in condensed matter and quantum gravity research. Most of these applications focus on the entanglement structure of quantum states, and the computation of entanglement measures such as entanglement entropy has […] |
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