9 citations · 9 across the 1 of their papers we have counts for
4 papers
Solving and Learning Nonlinear PDEs with Gaussian Processes
Yifan Chen, Bamdad Hosseini, Houman Owhadi +1
We introduce a simple, rigorous, and unified framework for solving nonlinear partial differential equations (PDEs), and for solving inverse problems (IPs) involving the identificat…
Spectral Analysis Of Weighted Laplacians Arising In Data Clustering
Franca Hoffmann, Bamdad Hosseini, Assad A. Oberai +1
Graph Laplacians computed from weighted adjacency matrices are widely used to identify geometric structure in data, and clusters in particular; their spectral properties play a cen…
Consistency of semi-supervised learning algorithms on graphs: Probit and one-hot methods
Franca Hoffmann, Bamdad Hosseini, Zhi Ren +1
Graph-based semi-supervised learning is the problem of propagating labels from a small number of labelled data points to a larger set of unlabelled data. This paper is concerned wi…
Geometric structure of graph Laplacian embeddings
Nicolas Garcia Trillos, Franca Hoffmann, Bamdad Hosseini
We analyze the spectral clustering procedure for identifying coarse structure in a data set , and in particular study the geometry of graph Laplacian embeddings wh…