1. The representation of high-level information and low-leveldata2. The symbiotic linkage between information and data3. The need to transform qualitative information intoquantitative data sets and vice versa4. The need to think beyond the learning for classification.5. How mathematics can be useful to the aforementioned domainsof interest in co...
Creator:
Nguyen, Tristan (Office of Naval Research)
Created:
2008-10-28
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
1) What have have been recent advances on manifold clustering?a) Algebraic approachesb) Spectral approachesc) Probabilistic approaches2) What have been successful applications of manifoldclustering?3) What is the role of topology, geometry, and statistics, inmanifold learning, i.e.,a) clustering based on the dimensions of the manifoldsb) cluster...
Creator:
Vidal, René (Johns Hopkins University)
Created:
2008-10-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
What are its implications for machine learning and numerical analysis? Whatare open questions? What are successes? Where should we be optimistic and where should we be pessimistic?
Creator:
Niyogi, Partha (University of Chicago)
Created:
2008-10-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.