Back to the lesson libraryMECHANISM · 14 MIN
M37.7 CONNECT THE MECHANISM

Learn a vector field and let a solver define continuous depth

A ResNet is secretly Euler's method with a step size of 1. Shrink the step to zero and you get a network with no layers at all, just a learned rule for change and a solver.

LESSON OVERVIEW14 min lesson

Lesson overview

A ResNet is secretly Euler's method with a step size of 1. Shrink the step to zero and you get a network with no layers at all, just a learned rule for change and a solver.

What you’ll explore

  • Neural ODEs parameterize a state derivative and integrate it with a numerical solver; solver tolerance, evaluation count, and gradient method affect accuracy, memory, and training behavior.
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