A note on the elementary HDX construction of Kaufman-Oppenheim

12/24/2019
by   Prahladh Harsha, et al.
0

In this note, we give a self-contained and elementary proof of the elementary construction of spectral high-dimensional expanders using elementary matrices due to Kaufman and Oppenheim [Proc. 50th ACM Symp. on Theory of Computing (STOC), 2018].

READ FULL TEXT

page 1

page 2

page 3

page 4

research
03/16/2022

An elementary analysis of ridge regression with random design

In this note, we provide an elementary analysis of the prediction error ...
research
07/21/2023

Bernstein approximation and beyond: proofs by means of elementary probability theory

Bernstein polynomials provide a constructive proof for the Weierstrass a...
research
09/05/2018

An Elementary Proof of a Classical Information-Theoretic Formula

A renowned information-theoretic formula by Shannon expresses the mutual...
research
07/12/2019

Elementary proofs of generalized continued fraction formulae for e

In this short note we prove two elegant generalized continued fraction f...
research
07/21/2021

Random Simple-Homotopy Theory

We implement an algorithm RSHT (Random Simple-Homotopy) to study the sim...
research
06/24/2022

Elementary analytic functions in VTC^0

It is known that rational approximations of elementary analytic function...
research
07/03/2013

A Unified Framework of Elementary Geometric Transformation Representation

As an extension of projective homology, stereohomology is proposed via a...

Please sign up or login with your details

Forgot password? Click here to reset