Search Results for author: Yunxiang Ren

Found 5 papers, 0 papers with code

Learning particle swarming models from data with Gaussian processes

no code implementations4 Jun 2021 Jinchao Feng, Charles Kulick, Yunxiang Ren, Sui Tang

As a byproduct, we show we can obtain a parametric learning rate in $M$ for the posterior marginal variance using $L^{\infty}$ norm, and the rate could also involve $N$ and $L$ (the number of observation time instances for each trajectory), depending on the condition number of the inverse problem.

Friction Gaussian Processes +1

Interpolated family of non group-like simple integral fusion rings of Lie type

no code implementations2 Feb 2021 Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren

We prove that a complex categorification (if any) of an interpolated fusion ring R_q (with q non prime-power) cannot be braided, and so its Drinfeld center must be simple.

Quantum Algebra Category Theory Group Theory Rings and Algebras Representation Theory 46L37, 18M20 (Primary) 20C33, 20D06 (Secondary)

Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six

no code implementations20 Oct 2020 Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren

This paper classifies the Grothendieck rings of complex fusion categories of multiplicity one up to rank six.

Category Theory Quantum Algebra 18M20

Classification of Thurston-relation subfactor planar algebras

no code implementations2 Jun 2016 Corey Jones, Zhengwei Liu, Yunxiang Ren

Bisch and Jones suggested the skein theoretic classification of planar algebras and investigated the ones generated by 2-boxes with the second author.

Operator Algebras Quantum Algebra

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