L2 weight decay generically makes many learning rules look Hebbian near stationarity, and added noise can make them look anti-Hebbian.
A mechanism for the hebb and the anti-hebb processes underlying learning and memory
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Ubiquity of Emergent Hebbian Dynamics in Regularized Learning
L2 weight decay generically makes many learning rules look Hebbian near stationarity, and added noise can make them look anti-Hebbian.