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10/13/2022
Estimation of the Sample Frechet Mean: A Convolutional Neural Network Approach
This work addresses the rising demand for novel tools in statistical and...
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07/05/2022
Probability density estimation for sets of large graphs with respect to spectral information using stochastic block models
For graph-valued data sampled iid from a distribution μ, the sample mome...
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01/28/2022
Sharp Threshold for the Frechet Mean (or Median) of Inhomogeneous Erdos-Renyi Random Graphs
We address the following foundational question: what is the population, ...
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01/15/2022
Theoretical analysis and computation of the sample Frechet mean for sets of large graphs based on spectral information
To characterize the location (mean, median) of a set of graphs, one need...
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05/30/2021
The Sample Fréchet Mean of Sparse Graphs is Sparse
The availability of large datasets composed of graphs creates an unprece...
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05/10/2021
Approximate Fréchet Mean for Data Sets of Sparse Graphs
To characterize the location (mean, median) of a set of graphs, one need...
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04/16/2019
Metrics for Graph Comparison: A Practitioner's Guide
Comparison of graph structure is a ubiquitous task in data analysis and ...
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05/01/2013
Inverting Nonlinear Dimensionality Reduction with Scale-Free Radial Basis Function Interpolation
Nonlinear dimensionality reduction embeddings computed from datasets do ...
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02/29/2012
Perturbation of the Eigenvectors of the Graph Laplacian: Application to Image Denoising
The original contributions of this paper are twofold: a new understandin...
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11/20/2011
Non-Asymptotic Analysis of Tangent Space Perturbation
Constructing an efficient parameterization of a large, noisy data set of...
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07/02/2011
A random walk on image patches
In this paper we address the problem of understanding the success of alg...
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12/07/2007
Locality and low-dimensions in the prediction of natural experience from fMRI
Functional Magnetic Resonance Imaging (fMRI) provides dynamical access i...
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09/19/2007