45 citations · 142 across the 32 of their papers we have counts for
4 papers · 1 filter
Fitting a manifold of large reach to noisy data
Charles Fefferman, Sergei Ivanov, Matti Lassas +1
Let be a -smooth compact submanifold of dimension . Assume that the volume of is at most and the reach (i.e. the norm…
Random concave functions on an equilateral lattice with periodic Hessians I: entropy and Laplacians
Hariharan Narayanan
We show that a random concave function having a periodic hessian on an equilateral lattice has a quadratic scaling limit, if the average hessian of the function satisfies certain c…
On the linking of number lattices
H. Narayanan, Hariharan Narayanan
In this paper we study ideas which have proved useful in topological network theory in the context of lattices of numbers. A number lattice is a collection of row vectors, ov…
Reconstruction of a Riemannian manifold from noisy intrinsic distances
Charles Fefferman, Sergei Ivanov, Matti Lassas +1
We consider reconstruction of a manifold, or, invariant manifold learning, where a smooth Riemannian manifold is determined from intrinsic distances (that is, geodesic distance…