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Stochastics and Statistics Seminar

Capacity lower bound for the Ising perceptron

February 22, 2019 @ 11:00 am - 12:00 pm

Nike Sun (MIT)


The perceptron is a toy model of a simple neural network that stores a collection of given patterns. Its analysis reduces to a simple problem in high-dimensional geometry, namely, understanding the intersection of the cube (or sphere) with a collection of random half-spaces. Despite the simplicity of this model, its high-dimensional asymptotics are not well understood. I will describe what is known and present recent results.

This is a joint work with Jian Ding.

Nike Sun is a faculty member in the MIT mathematics department.

MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.

MIT Statistics + Data Science Center
Massachusetts Institute of Technology
77 Massachusetts Avenue
Cambridge, MA 02139-4307