87 citations · 450 across the 34 of their papers we have counts for
5 papers · 1 filter
Time Coupled Diffusion Maps
Nicholas F. Marshall, Matthew J. Hirn
We consider a collection of points in measured at times, which are encoded in an data tensor. Our objective is to define a single embed…
Wavelet Scattering Regression of Quantum Chemical Energies
Matthew Hirn, Stéphane Mallat, Nicolas Poilvert
We introduce multiscale invariant dictionaries to estimate quantum chemical energies of organic molecules, from training databases. Molecular energies are invariant to isometric at…
Algorithms for computing the optimal Lipschitz constant of interpolants with Lipschitz derivative
Matthew J. Hirn
One classical measure of the quality of an interpolating function is its Lipschitz constant. In this paper we consider interpolants with additional smoothness requirements, in part…
Diffusion maps for changing data
Ronald R. Coifman, Matthew J. Hirn
Graph Laplacians and related nonlinear mappings into low dimensional spaces have been shown to be powerful tools for organizing high dimensional data. Here we consider a data set X…
Bi-stochastic kernels via asymmetric affinity functions
Ronald R. Coifman, Matthew J. Hirn
In this short letter we present the construction of a bi-stochastic kernel p for an arbitrary data set X that is derived from an asymmetric affinity function α. The affinity functi…