David Kogan

collaborators

3 papers

math.PR2025

Universality of AMP via Tree Pairings

David Kogan

We prove universality for Approximate Message Passing (AMP) with polynomial nonlinearities applied to symmetric sub-Gaussian matrices $A \in R^{N \times N}$ . Our approach is c…

math.CO2025

Asymptotic Face Distributions in Random Reduced $s l_{3}$ Webs

David Kogan

We study the distribution of interior faces in uniformly random reduced $s l_{3}$ webs. Using Tymoczko's bijection between $3 \times n$ standard Young tableaux and…

math.PR2024

Extremal Eigenvalues of Random Kernel Matrices with Polynomial Scaling

David Kogan, Sagnik Nandy, Jiaoyang Huang

We study the spectral norm of random kernel matrices with polynomial scaling, where the number of samples scales polynomially with the data dimension. In this regime, Lu and Yau (2…

Universality of AMP via Tree Pairings

Asymptotic Face Distributions in Random Reduced sl3​ Webs

Extremal Eigenvalues of Random Kernel Matrices with Polynomial Scaling

Asymptotic Face Distributions in Random Reduced $s l_{3}$ Webs