2 citations · 4 across the 32 of their papers we have counts for
39 papers
The role of parameter Jacobians in the stability of network outputs
Halyun Jeong, Palle E. T. Jorgensen, Hyun-Kyoung Kwon +2
In the framework of network dynamics, learning models, and neural tangent kernels (NTK), we show that the corresponding linearized dynamics leads naturally to a semigroup formulati…
A finite-Point Schwarz-Pick Inequality
James Tian
We prove a finite-point version of the Schwarz-Pick inequality for holomorphic self-maps of the disk. The estimate compares Bergman Gram matrices built from several points and thei…
Tree Coordinates and Range Martingales for Positive Operator-Valued Measures
James Tian
Positive operator-valued measures on a tree admit intrinsic local coordinates coming from the way each cylinder value splits into its children. We show that these local splittings,…
Compression Covariance and Tangent kernels
James Tian
Let be self-adjoint on a Hilbert space , let , and let be an orthogonal projection. Relative to the decomposition , write \[ T…
Ordered POVMs and Residual Collapse
James Tian
Ordered realizations of discrete POVMs are studied through a residual transform generated by sequential tests. One application of the transform replaces each coordinate by the effe…
Bernoulli cylinder frame operators: filtration, Haar structure, and self-similarity
James Tian
We study the finite-rank frame operators generated by cylinder indicator functions for the Bernoulli Cantor measure . In the symmetric case , the natural Haar…