Categorical Representation Learning, morphism is all you need!
Organizers
Speaker
Time
Monday, December 4, 2023 1:00 PM - 2:30 PM
Venue
A3-2-201
Online
Zoom 537 192 5549
(BIMSA)
Abstract
I will elaborate on construction of an Unsupervised ML classifier algorithm based on ideas from Algebraic Geometry, specially category theory. We will show that this construction has many advantages! As an example: it outperforms commercial products in domain of Natural Language Processing, e.g. Google sequence to sequence classifiers, such as Google search engine in certain tasks, or google translate app. Furthermore if time permits, in this talk or a sequel, I will elaborate on construction of an auto-encoder/ decoder ML generative algorithm which mounts on top of the categorifier. It is called RG-categorifier and its construction borrows ideas from the theory of Renormalization Group Flows in Quantum field theory. Once again in order to show usefulness of implementation of such ideas, we elaborate on a proof of concept algorithm in domain of “sequence to function mapping” in bio-informatics, which can be used to classify and predict cancer mutations or new Viruses. These algorithms can all be optimized even further to more robust classifier-generative models, using optimal transport theory, and the latter leads to construction of generative diffusion based auto-encoder/decoder models.
Speaker Intro
Artan Sheshmani is a Professor of pure Mathematics, specialized in Algebraic geometry, Enumerative and Derived Geometry, and Mathematics of String Theory. He joined BIMSA as a Professor in September 2023. Prior to BIMSA he was a senior personnel (Professor) at Simons Collaboration Program on Homological Mirror Symmetry at Harvard University Center for Mathematical Sciences and Applications (CMSA) for 7 years, during which he was also an Associate Professor of Mathematics at Institut for Mathematik (formerly the Center for Quantum Geometry of Moduli Spaces) at Aarhus University in Denmark (2016-2022). He is working on geometry of moduli spaces of sheaves and curves from enumerative geometry point of view as well as studying their structural properties from derived geometry and geometric representation theory point of view. He has been an invited speaker to ICCM and ICBS and a recipient of several awards. In 2019 he was one of the 30 winners of the IRFD "Research Leader" grant (approx 1M USD) in 2019.