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07/20/2021
Entropy as a Topological Operad Derivation
We share a small connection between information theory, algebra, and top...
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06/29/2021
Probabilistic Graphical Models and Tensor Networks: A Hybrid Framework
We investigate a correspondence between two formalisms for discrete prob...
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06/15/2021
An enriched category theory of language: from syntax to semantics
Given a piece of text, the ability to generate a coherent extension of i...
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07/08/2020
Language Modeling with Reduced Densities
We present a framework for modeling words, phrases, and longer expressio...
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04/12/2020
At the Interface of Algebra and Statistics
This thesis takes inspiration from quantum physics to investigate mathem...
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10/16/2019
Modeling Sequences with Quantum States: A Look Under the Hood
Classical probability distributions on sets of sequences can be modeled ...
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11/08/2018