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03/14/2023
Consistency of Fractional Graph-Laplacian Regularization in Semi-Supervised Learning with Finite Labels
Laplace learning is a popular machine learning algorithm for finding mis...
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09/06/2022
Rates of Convergence for Regression with the Graph Poly-Laplacian
In the (special) smoothing spline problem one considers a variational pr...
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06/16/2022
Classification of datasets with imputed missing values: does imputation quality matter?
Classifying samples in incomplete datasets is a common aim for machine l...
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02/10/2022
Γ-Convergence of an Ambrosio-Tortorelli approximation scheme for image segmentation
Given an image u_0, the aim of minimising the Mumford-Shah functional is...
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04/22/2021
Robust Certification for Laplace Learning on Geometric Graphs
Graph Laplacian (GL)-based semi-supervised learning is one of the most u...
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09/23/2020
A Linear Transportation L^p Distance for Pattern Recognition
The transportation L^p distance, denoted TL^p, has been proposed as a ge...
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08/14/2020
Machine learning for COVID-19 detection and prognostication using chest radiographs and CT scans: a systematic methodological review
Background: Machine learning methods offer great potential for fast and ...
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06/19/2020
Poisson Learning: Graph Based Semi-Supervised Learning At Very Low Label Rates
We propose a new framework, called Poisson learning, for graph based sem...
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06/04/2020
Rates of Convergence for Laplacian Semi-Supervised Learning with Low Labeling Rates
We study graph-based Laplacian semi-supervised learning at low labeling ...
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04/20/2020
From graph cuts to isoperimetric inequalities: Convergence rates of Cheeger cuts on data clouds
In this work we study statistical properties of graph-based clustering a...
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09/23/2019
PDE-Inspired Algorithms for Semi-Supervised Learning on Point Clouds
Given a data set and a subset of labels the problem of semi-supervised l...
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05/23/2018
Large Data and Zero Noise Limits of Graph-Based Semi-Supervised Learning Algorithms
Scalings in which the graph Laplacian approaches a differential operator...
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07/19/2017
Analysis of p-Laplacian Regularization in Semi-Supervised Learning
We investigate a family of regression problems in a semi-supervised sett...
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09/27/2016
A Transportation L^p Distance for Signal Analysis
Transport based distances, such as the Wasserstein distance and earth mo...
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09/15/2016
