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20172023
most citedGeometric structure of graph Laplacian embeddings

9 citations · 9 across the 4 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.SP2019

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…

stat.ML2019

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…

math.AP2019

Uniqueness of stationary states for singular Keller-Segel type models

Vincent Calvez, Jose Antonio Carrillo, Franca Hoffmann

We consider a generalised Keller-Segel model with non-linear porous medium type diffusion and non-local attractive power law interaction, focusing on potentials that are more singu…

math.DS2019

Interacting Langevin Diffusions: Gradient Structure And Ensemble Kalman Sampler

Alfredo Garbuno-Inigo, Franca Hoffmann, Wuchen Li +1

Solving inverse problems without the use of derivatives or adjoints of the forward model is highly desirable in many applications arising in science and engineering. In this paper,…

math.SP20199 cited

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…