scispace - formally typeset
M

Matthew Thorpe

Researcher at University of Manchester

Publications -  39
Citations -  1496

Matthew Thorpe is an academic researcher from University of Manchester. The author has contributed to research in topics: Semi-supervised learning & Graph (abstract data type). The author has an hindex of 14, co-authored 34 publications receiving 724 citations. Previous affiliations of Matthew Thorpe include University of Warwick & University of Cambridge.

Papers
More filters
Journal ArticleDOI

Optimal Mass Transport: Signal processing and machine-learning applications

TL;DR: A practical overview of the mathematical underpinnings of mass transport-related methods, including numerical implementation, are provided as well as a review, with demonstrations, of several applications.
Journal ArticleDOI

Analysis of $p$-Laplacian Regularization in Semisupervised Learning

TL;DR: The authors investigate a family of regression problems in a semisupervised setting, where the task is to assign real-valued labels to a set of sample points provided by a small training subset of labeled po...
Posted Content

Deep Limits of Residual Neural Networks

TL;DR: The variational analysis provides a discrete-to-continuum $\Gamma$-convergence result for the objective function of the residual neural network training step to a variational problem constrained by a system of ordinary differential equations; this rigorously connects the discrete setting to a continuum problem.
Journal ArticleDOI

Large data and zero noise limits of graph-based semi-supervised learning algorithms

TL;DR: Scalings in which the graph Laplacian approaches a differential operator in the large graph limit are used to develop understanding of a number of algorithms for semi-supervised learning; in particular the extension, to this graph setting, of the probit algorithm, level set and kriging methods are studied.