no code implementations • 28 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.
1 code implementation • 15 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.
no code implementations • 30 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.
no code implementations • 1 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.
no code implementations • 20 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.