What are the basic principles of representation and computation in the nervous system? Cognitive scientists have argued for a theory based upon compositionality, which refers to the evident ability of brains to represent objects, scenes, thoughts and actions in a hierarchical structure. I am studying a mathematical formulation for compositionality, and the implications of this formulation for interpreting neural activity patterns and for building computer vision systems.
Dr. Geman is a James Manning Professor of Applied Mathematics in the Division of Applied Mathematics, Brown University. He graduated from the Massachusetts Institute of Technology in 1977, having completed his thesis on stochastic differential equations with smooth mixing processes. His advisors were Herman Chernoff and Frank Kozin.
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