in Seminar Inverse Problem ~ read.

9.16 Imaging And Graphics Seminar

Topic: PDE on manifold for semi-supervised learning
Hold: Yiping Lu

Point Integral Method for Solving Poisson-type Equations on
Manifolds from Point Clouds with Convergence Guarantees
https://arxiv.org/pdf/1409.2623.pdf

A METHOD BASED ON TOTAL VARIATION FOR NETWORK
MODULARITY OPTIMIZATION USING THE MBO SCHEME
https://arxiv.org/pdf/1304.4679.pdf

Low dimensional manifold model for image processing
SIAM Journal on Imaging Sciences 2017

An MBO scheme on graphs for classification and image processing
SIAM Journal on Imaging Sciences, 2013 - SIAM

Zhou, Xueyuan, and Mikhail Belkin. "Semi-supervised learning by higher order regularization." Proceedings of the Fourteenth International Conference on Artificial Intelligence and Statistics. 2011.

A. Bertozzi and A. Flenner, Diffuse interface models of graphs for classification of high dimensional
data, Multiscale Model. Simul., 10 (2012), pp. 1090–1118.

Natural Boundary Conditions for Smoothing in Geometry Processing
ACM Transaction on Graphics 2018
http://www.cs.columbia.edu/cg/hessians/

Stochastic Block Models are a Discrete Surface Tension
https://arxiv.org/pdf/1806.02485

Bayesian Semi-supervised Learning with Graph Gaussian Processes
https://arxiv.org/pdf/1809.04379v1.pdf

Local High-order Regularization on Data Manifolds
https://arxiv.org/abs/1602.03805

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Balcan, Maria-Florina, and Avrim Blum. "A PAC-style model for learning from labeled and unlabeled data." International Conference on Computational Learning Theory. Springer, Berlin, Heidelberg, 2005.

SIMPLIFIED ENERGY LANDSCAPE FOR MODULARITY USING TOTAL
VARIATION
https://arxiv.org/pdf/1707.09285.pdf

Jacobs, Matt, Ekaterina Merkurjev, and Selim Esedoḡlu. "Auction dynamics: A volume constrained MBO scheme." Journal of Computational Physics 354 (2018): 288-310.