17 citations · 17 across the 4 of their papers we have counts for
8 papers
Learning Graph Energies for Finite-Time Generation
Amartya Banerjee, Xingyu Xu, Caroline Moosmüller +1
Energy-based models can represent distributions over discrete structures such as molecular graphs, but an energy that is accurate at equilibrium need not yield accurate samples whe…
Neural Wasserstein Splines: Representation-Invariant Second-Order Priors for Trajectory Inference
Amartya Banerjee, Harlin Lee, Caroline Moosmüller
Population dynamics are often observed only as unpaired snapshots, which leave the evolution between measurements underdetermined. Second-order regularization can constrain it, but…
Efficient Trajectory Inference in Wasserstein Space Using Consecutive Averaging
Amartya Banerjee, Harlin Lee, Nir Sharon +1
Capturing data from dynamic processes through cross-sectional measurements is seen in many fields, such as computational biology. Trajectory inference deals with the challenge of r…
Linear Optimal Transport Embedding: Provable Wasserstein classification for certain rigid transformations and perturbations
Caroline Moosmüller, Alexander Cloninger
Discriminating between distributions is an important problem in a number of scientific fields. This motivated the introduction of Linear Optimal Transportation (LOT), which embeds…
A geometric approach to the transport of discontinuous densities
Caroline Moosmüller, Felix Dietrich, Ioannis G. Kevrekidis
Different observations of a relation between inputs ("sources") and outputs ("targets") are often reported in terms of histograms (discretizations of the source and the target dens…
Polynomial overreproduction by Hermite subdivision operators, and -Cauchy numbers
Caroline Moosmüller, Tomas Sauer
We study the case of Hermite subdivision operators satisfying a spectral condition of order greater than their size. We show that this can be characterized by operator factorizatio…
Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators
Caroline Moosmüller, Svenja Hüning, Costanza Conti
In this paper we present a factorization framework for Hermite subdivision schemes refining function values and first derivatives, which satisfy a spectral condition of high order.…
Increasing the smoothness of vector and Hermite subdivision schemes
Caroline Moosmüller, Nira Dyn
In this paper we suggest a method for transforming a vector subdivision scheme generating limits to another such scheme of the same dimension, generating li…