no code implementations • 21 Feb 2024 • Jianqiang Shen, Yuchin Juan, Shaobo Zhang, Ping Liu, Wen Pu, Sriram Vasudevan, Qingquan Song, Fedor Borisyuk, Kay Qianqi Shen, Haichao Wei, Yunxiang Ren, Yeou S. Chiou, Sicong Kuang, Yuan Yin, Ben Zheng, Muchen Wu, Shaghayegh Gharghabi, Xiaoqing Wang, Huichao Xue, Qi Guo, Daniel Hewlett, Luke Simon, Liangjie Hong, Wenjing Zhang
Web-scale search systems typically tackle the scalability challenge with a two-step paradigm: retrieval and ranking.
no code implementations • 4 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.
no code implementations • 2 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)
no code implementations • 20 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
no code implementations • 2 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