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Topology Seminar — Matthew vonAllmen

October 12 @ 3:00 pm - 4:00 pm

Title: Untying Knots with Neural Nets

Abstract: Neural networks can transform 3-dimensional data in a manner reminiscent of an ambient isotopy. With some modifications, a neural network can be trained to manipulate the vertices of a knot while respecting its topological structure. We use the discrete Mo ̈bius energy as a loss function to incentivize a neural network to smooth out curves in a knot, without performing illegal operations. By introducing unconventional neural network layers, we are able to untwist highly tangled polygonal knots until a human can visually recognize whether they are topologically equivalent to the unknot.

Details

Date:
October 12
Time:
3:00 pm - 4:00 pm
Event Category:

Venue

Zoom meeting
United States

Details

Date:
October 12
Time:
3:00 pm - 4:00 pm
Event Category:

Venue

Zoom meeting
United States