8 papers
Limit of the octahedron recurrence with GUE boundary data
Hariharan Narayanan
We study the tropical octahedron recurrence on the lattice tetrahedron with an intrinsic double-hive boundary law.…
Exposition of an approximation algorithm for mixed volumes of a constant number of convex bodies
Hariharan Narayanan
We study -relative approximation of mixed volumes of a fixed number of full-dimensional convex bodies in , given membership oracles and a known bound…
Hives from deformed GUE minor processes
Hariharan Narayanan
We construct random hives from deformed GUE minor processes. Starting from two independent diagonally deformed GUE matrices \[ X=\sqrt{n}(wG+uD),\qquad Y=\sqrt{n}(w'G'+u'D'), \] wh…
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 the…
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…