120 citations · 147 across the 4 of their papers we have counts for
6 papers
Audio Transport: A Generalized Portamento via Optimal Transport
Trevor Henderson, Justin Solomon
This paper proposes a new method to interpolate between two audio signals. As an interpolation parameter is changed, the pitches in one signal slide to the pitches in the other, pr…
Learning Embeddings into Entropic Wasserstein Spaces
Charlie Frogner, Farzaneh Mirzazadeh, Justin Solomon
Euclidean embeddings of data are fundamentally limited in their ability to capture latent semantic structures, which need not conform to Euclidean spatial assumptions. Here we cons…
Deep Closest Point: Learning Representations for Point Cloud Registration
Yue Wang, Justin M. Solomon
Point cloud registration is a key problem for computer vision applied to robotics, medical imaging, and other applications. This problem involves finding a rigid transformation fro…
Reversible Harmonic Maps between Discrete Surfaces
Danielle Ezuz, Justin Solomon, Mirela Ben-Chen
Information transfer between triangle meshes is of great importance in computer graphics and geometry processing. To facilitate this process, a smooth and accurate map is typically…
Continuous-Flow Graph Transportation Distances
Justin Solomon, Raif Rustamov, Leonidas Guibas +1
Optimal transportation distances are valuable for comparing and analyzing probability distributions, but larger-scale computational techniques for the theoretically favorable quadr…
PDE Approaches to Graph Analysis
Justin Solomon
This paper surveys and discusses recent work adapting partial differential equation (PDE) models to discrete structures.