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07/07/2023
Fermat Distances: Metric Approximation, Spectral Convergence, and Clustering Algorithms
We analyze the convergence properties of Fermat distances, a family of d...
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02/15/2023
On Rank Energy Statistics via Optimal Transport: Continuity, Convergence, and Change Point Detection
This paper considers the use of recently proposed optimal transport-base...
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10/21/2022
Geometric Sparse Coding in Wasserstein Space
Wasserstein dictionary learning is an unsupervised approach to learning ...
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04/28/2022
Unsupervised Spatial-spectral Hyperspectral Image Reconstruction and Clustering with Diffusion Geometry
Hyperspectral images, which store a hundred or more spectral bands of re...
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04/19/2022
Unsupervised detection of ash dieback disease (Hymenoscyphus fraxineus) using diffusion-based hyperspectral image clustering
Ash dieback (Hymenoscyphus fraxineus) is an introduced fungal disease th...
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04/13/2022
Active Diffusion and VCA-Assisted Image Segmentation of Hyperspectral Images
Hyperspectral images encode rich structure that can be exploited for mat...
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03/18/2022
Diffusion and Volume Maximization-Based Clustering of Highly Mixed Hyperspectral Images
Hyperspectral images of a scene or object are a rich data source, often ...
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01/28/2022
Measure Estimation in the Barycentric Coding Model
This paper considers the problem of measure estimation under the barycen...
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12/20/2021
Measuring Segregation via Analysis on Graphs
In this paper, we use analysis on graphs to study quantitative measures ...
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03/29/2021
Multiscale Clustering of Hyperspectral Images Through Spectral-Spatial Diffusion Geometry
Clustering algorithms partition a dataset into groups of similar points....
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01/31/2021
A Multiscale Environment for Learning by Diffusion
Clustering algorithms partition a dataset into groups of similar points....
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12/03/2020
Manifold Learning and Deep Clustering with Local Dictionaries
We introduce a novel clustering algorithm for data sampled from a union ...
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04/10/2020
Hyperspectral Image Clustering with Spatially-Regularized Ultrametrics
We propose a method for the unsupervised clustering of hyperspectral ima...
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03/07/2020
Diffusion State Distances: Multitemporal Analysis, Fast Algorithms, and Applications to Biological Networks
Data-dependent metrics are powerful tools for learning the underlying st...
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11/06/2019
Spatially regularized active diffusion learning for high-dimensional images
An active learning algorithm for the classification of high-dimensional ...
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05/30/2019
Learning by Active Nonlinear Diffusion
This article proposes an active learning method for high dimensional dat...
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02/08/2019
Spectral-Spatial Diffusion Geometry for Hyperspectral Image Clustering
An unsupervised learning algorithm to cluster hyperspectral image (HSI) ...
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10/15/2018
Learning by Unsupervised Nonlinear Diffusion
This paper proposes and analyzes a novel clustering algorithm that combi...
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12/17/2017
Path-Based Spectral Clustering: Guarantees, Robustness to Outliers, and Fast Algorithms
We consider the problem of clustering with the longest leg path distance...
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02/27/2016