Workshop III: Geometry of Big Data

April 29 - May 3, 2019


Exploring, understanding and utilizing geometric structures of big data can be of crucial importance in data analysis and machine learningGLWS3 Image algorithms. For example, the set of image patches or 3D surfaces usually stays near a low dimensional manifold. This manifold structure can be used to efficiently characterize similarities and dissimilarities. It is also desirable to design features that are invariant under certain transformations or group actions. When these features are used as input or desired properties are incorporated into learning structures and algorithms, the accuracy, efficiency, and interpretability of the whole process is significantly enhanced. In this workshop, we aim to investigate and study the possibilities and potential of the integration of geometry, modeling, and learning from theory and principle to practice and implementation in order to take advantage of both model-based and learning-based approaches.

Organizing Committee

Stanley Osher (University of California, Los Angeles (UCLA), Mathematics)
Guillermo Sapiro (Duke University, ECE)
Rebecca Willett (University of Chicago)
Hongkai Zhao (University of California, Irvine (UCI), Mathematics Department)