bqian.bsky.social
@bqian.bsky.social
With nonlinear student and teacher dynamics, mismatches can be even more extreme, leading to the spurious discovery of limit cycles and incorrectly identified stable fixed points. This can occur over a wide range of fitting methods. (9/n)
December 12, 2024 at 7:51 PM
When the teacher network’s connectivity is non-normal, a data-constrained student under partial observation may spuriously fit transient dynamics using attractor-like dynamics. We show this analytically in the case of feedforward chain (top) and low-rank teacher connectivity (bottom). (8/n)
December 12, 2024 at 7:51 PM
As a motivating example, we show that fitting a low-dimensional linear dynamical system to simulated recordings of a feedforward chain performing an integration task leads to the spurious discovery of line attractor-like dynamics. (6/n)
December 12, 2024 at 7:51 PM
Here we show that observing only a subset of neurons in a circuit can create mechanistic mismatches between a simulated teacher network and a data-constrained student. (5/n)
December 12, 2024 at 7:51 PM