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Capacity lower bound for the Ising perceptron

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

Nike Sun (MIT)

E18-304

Abstract:
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.

Biography:
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.

Details

Date:
February 22
Time:
11:00 am - 12:00 pm
Event Category:

Venue

E18-304
50 Ames Street
Cambridge, MA 02139

Other

Speaker Name(s)
Nike Sun (MIT)
Bldg-Room #
E18-304