From the 1 of 5 linked papers with an AI index.
5 papers
Hives from deformed GUE minor processes
Hariharan Narayanan
The paper builds random hive structures from diagonally deformed GUE minor processes, applies the octahedron recurrence, and proves that the resulting hive distribution is close (u…
Denoising data using convex relaxations
Charles Fefferman, Aalok Gangopadhyay, Matti Lassas +2
We study the problem of denoising observations \(Y_i=X_i+Z_i\), where the latent variables \(X_i\) are sampled from a low-dimensional manifold in \(\mathbb{R}^n\) and the noise var…
Approximating mixed volumes to arbitrary accuracy
Hariharan Narayanan, Sourav Roy
We study the problem of approximating the mixed volume of an -tuple of convex polytopes , each of which is defined as t…
Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel
Charles Fefferman, Sergei Ivanov, Matti Lassas +2
We consider how a closed Riemannian manifold and its metric tensor can be approximately reconstructed from local distance measurements. Moreover, we consider an inverse pro…
On the limit of random hives with GUE boundary conditions
Hariharan Narayanan
We show that hives chosen at random with independent GUE boundary conditions on two sides, weighted by a Vandermonde factor depending on the third side (which is necessary in the c…