7 citations · 28 across the 28 of their papers we have counts for
32 papers
A Note on Reproducing Kernels for Sobolev Spaces
Steven Rosenberg
In this note, we compute the reproducing kernel for the RKHS of functions on in a sufficiently high Sobolev norm.
The Conformal Laplacian and Positive Scalar Curvature Metrics on Manifolds with Boundary
Steven Rosenberg, Daniel Ruberman, Jie Xu
We give examples of spin -manifolds with boundary such that the boundary has a positive scalar curvature metric which cannot be extended to a posit…
Generalized Tangent Kernel: A Unified Geometric Foundation for Natural Gradient and Standard Gradient
Qinxun Bai, Steven Rosenberg, Wei Xu
Natural gradients have been widely studied from both theoretical and empirical perspectives, and it is commonly believed that natural gradients have advantages over standard (Eucli…
Solving the Yamabe Problem by an Iterative Method on a Small Riemannian Domain
Steven Rosenberg, Jie Xu
We introduce an iterative scheme to solve the Yamabe equation on small domains equipped with a Riemannian metric . T…
The Geometry of Loop Spaces III: Isometry Groups of Contact Manifolds
Satoshi Egi, Yoshiaki Maeda, Steven Rosenberg
Let be a circle bundle with first Chern class over a closed -dimensional integral symplectic manifold . Equivalently, is a closed…
Bayesian classification, anomaly detection, and survival analysis using network inputs with application to the microbiome
Nathaniel Josephs, Lizhen Lin, Steven Rosenberg +1
While the study of a single network is well-established, technological advances now allow for the collection of multiple networks with relative ease. Increasingly, anywhere from se…