Search Results for author: Francois G. Meyer

Found 5 papers, 1 papers with code

Sharp Threshold for the Frechet Mean (or Median) of Inhomogeneous Erdos-Renyi Random Graphs

no code implementations28 Jan 2022 Francois G. Meyer

We show that the result also holds for the sample mean (or median) when the population expected adjacency matrix is replaced with the sample mean adjacency matrix.

Theoretical analysis and computation of the sample Frechet mean for sets of large graphs based on spectral information

1 code implementation15 Jan 2022 Daniel Ferguson, Francois G. Meyer

To characterize the location (mean, median) of a set of graphs, one needs a notion of centrality that is adapted to metric spaces, since graph sets are not Euclidean spaces.

On the Number of Edges of the Frechet Mean and Median Graphs

no code implementations30 May 2021 Daniel Ferguson, Francois G. Meyer

The availability of large datasets composed of graphs creates an unprecedented need to invent novel tools in statistical learning for graph-valued random variables.

Inverting Nonlinear Dimensionality Reduction with Scale-Free Radial Basis Function Interpolation

no code implementations1 May 2013 Nathan D. Monnig, Bengt Fornberg, Francois G. Meyer

Nonlinear dimensionality reduction embeddings computed from datasets do not provide a mechanism to compute the inverse map.

Dimensionality Reduction

Non-Asymptotic Analysis of Tangent Space Perturbation

no code implementations20 Nov 2011 Daniel N. Kaslovsky, Francois G. Meyer

To process noisy data samples from a nonlinear manifold, PCA must be applied locally, at a scale small enough such that the manifold is approximately linear, but at a scale large enough such that structure may be discerned from noise.

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