no code implementations • 11 Mar 2021 • Paul Bourgade, Krishnan Mody, Michel Pain
In the setting of generic $\beta$-ensembles, we use the loop equation hierarchy to prove a local law with optimal error up to a constant, valid on any scale including microscopic.
Probability Mathematical Physics Mathematical Physics
1 code implementation • 25 May 2018 • Karthikeyan Natesan Ramamurthy, Kush R. Varshney, Krishnan Mody
We propose the labeled \v{C}ech complex, the plain labeled Vietoris-Rips complex, and the locally scaled labeled Vietoris-Rips complex to perform persistent homology inference of decision boundaries in classification tasks.