no code implementations • 18 May 2022 • Karthik Elamvazhuthi, Bahman Gharesifard, Andrea Bertozzi, Stanley Osher
As a corollary to this result, we establish that the continuity equation of the neural ODE is approximately controllable on the set of compactly supported probability measures that are absolutely continuous with respect to the Lebesgue measure.
no code implementations • ICLR 2022 • Matthew Thorpe, Tan Minh Nguyen, Hedi Xia, Thomas Strohmer, Andrea Bertozzi, Stanley Osher, Bao Wang
We propose GRAph Neural Diffusion with a source term (GRAND++) for graph deep learning with a limited number of labeled nodes, i. e., low-labeling rate.
no code implementations • 24 Nov 2020 • Mariam Alaverdian, William Gilroy, Veronica Kirgios, Xia Li, Carolina Matuk, Daniel Mckenzie, Tachin Ruangkriengsin, Andrea Bertozzi, Jeffrey Brantingham
We present a preliminary study of a knowledge graph created from season one of the television show Veronica Mars, which follows the eponymous young private investigator as she attempts to solve the murder of her best friend Lilly Kane.
no code implementations • 15 Mar 2019 • Shay Deutsch, Andrea Bertozzi, Stefano Soatto
We introduce the isoperimetric loss as a regularization criterion for learning the map from a visual representation to a semantic embedding, to be used to transfer knowledge to unknown classes in a zero-shot learning setting.
no code implementations • 16 Feb 2016 • Da Kuang, Zuoqiang Shi, Stanley Osher, Andrea Bertozzi
We present a new perspective on graph-based methods for collaborative ranking for recommender systems.