55 citations · 102 across the 14 of their papers we have counts for
4 papers · 1 filter
On The Chain Rule Optimal Transport Distance
Frank Nielsen, Ke Sun
We define a novel class of distances between statistical multivariate distributions by modeling an optimal transport problem on their marginals with respect to a ground distance de…
Intrinsic Universal Measurements of Non-linear Embeddings
Ke Sun
A basic problem in machine learning is to find a mapping from a low dimensional latent space to a high dimensional observation space . Modern tools s…
Guaranteed Deterministic Bounds on the Total Variation Distance between Univariate Mixtures
Frank Nielsen, Ke Sun
The total variation distance is a core statistical distance between probability measures that satisfies the metric axioms, with value always falling in . This distance plays…
q-Neurons: Neuron Activations based on Stochastic Jackson's Derivative Operators
Frank Nielsen, Ke Sun
We propose a new generic type of stochastic neurons, called -neurons, that considers activation functions based on Jackson's -derivatives with stochastic parameters . Our…