41 citations · 186 across the 18 of their papers we have counts for
6 papers · 1 filter
Neural Tangent Kernel of Matrix Product States: Convergence and Applications
Erdong Guo, David Draper
In this work, we study the Neural Tangent Kernel (NTK) of Matrix Product States (MPS) and the convergence of its NTK in the infinite bond dimensional limit. We prove that the NTK o…
A Simple Necessary Condition For Independence of Real-Valued Random Variables
David Draper, Erdong Guo, Robert Lund +1
The standard method to check for the independence of two real-valued random variables -- demonstrating that the bivariate joint distribution factors into the product of its margina…
The Practical Scope of the Central Limit Theorem
David Draper, Erdong Guo
The \textit{Central Limit Theorem (CLT)} is at the heart of a great deal of applied problem-solving in statistics and data science, but the theorem is silent on an important implem…
Representation Theorem for Matrix Product States
Erdong Guo, David Draper
In this work, we investigate the universal representation capacity of the Matrix Product States (MPS) from the perspective of boolean functions and continuous functions. We show th…
Infinitely Wide Tensor Networks as Gaussian Process
Erdong Guo, David Draper
Gaussian Process is a non-parametric prior which can be understood as a distribution on the function space intuitively. It is known that by introducing appropriate prior to the wei…
The Bayesian Method of Tensor Networks
Erdong Guo, David Draper
Bayesian learning is a powerful learning framework which combines the external information of the data (background information) with the internal information (training data) in a l…