29 citations · 79 across the 18 of their papers we have counts for
Showing 2018Show all
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math.CA2018★ 14 cited
Deep Limits of Residual Neural Networks
Matthew Thorpe, Yves van Gennip
Neural networks have been very successful in many applications; we often, however, lack a theoretical understanding of what the neural networks are actually learning. This problem…
stat.ML2018
Large Data and Zero Noise Limits of Graph-Based Semi-Supervised Learning Algorithms
Matthew M. Dunlop, Dejan Slepčev, Andrew M. Stuart +1
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 le…
math.AP2018
Large data limit for a phase transition model with the p-Laplacian on point clouds
Riccardo Cristoferi, Matthew Thorpe
The consistency of a nonlocal anisotropic Ginzburg-Landau type functional for data classification and clustering is studied. The Ginzburg-Landau objective functional combines a dou…