Geometry, AI and the Brain
Demba Ba, Ph.D.Associate Professor of Electrical Engineering and Bioengineering, School of Engineering and Applied Sciences, Harvard University
Simons Foundation Presidential Lectures are free public colloquia centered on four main themes: Biology, Physics, Mathematics and Computer Science, and Neuroscience and Autism Science. These curated, high-level scientific talks feature leading scientists and mathematicians and are intended to foster discourse and drive discovery among the broader NYC-area research community. We invite those interested in the topic to join us for this weekly lecture series.
A large body of experiments suggests that neural computations reflect, in some sense, the world’s geometry. Such results pose unanswered questions. How do artificial and neural systems learn representations of the world that reflect its geometry? How do we, as humans, learn representations of objects — such as fruits — that reflect the geometry of object space? Developing artificial systems that can capture and understand the geometry of the data they process may enable them to learn representations useful in many different contexts and tasks.
In this talk, Demba Ba will describe an artificial neural-network architecture based on a simple union-of-manifold model of data comprising objects from different categories. This architecture mimics aspects of how primates learn, organize and retrieve concepts in a manner that respects the geometry of object space.
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