Epistemic status: The thread of analysis I’m examining listed here has been contentious up to now so I assume to produce updates determined by the feedback.
We research regardless of whether a neural network optimizes to the identical, linearly connected minimal below unique samples of SGD sound (e.g., random knowledge buy and augmentation). We discover that regular vision products turn out to be steady to SGD sounds in this way early in schooling. From then on, the result of optimization is determined into a linearly connected region. We use This method to study iterative magnitude pruning (IMP), the procedure utilized by work on the lottery ticket hypothesis to identify subnetworks that could have trained in isolation to total accuracy.
They argue that the biggest problem to pruning at initialisation is the situation of layer collapse - the around-eagerly pruning of an entire layer which renders the architecture untrainable (since the gradient circulation is Minimize-off).
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: While IMP remains in the position to generate steady networks at severe sparsity, the resulting networks are no longer matching.
Evan Hubinger speculates about whether or not the lottery ticket hypothesis may well explain the deep double descent phenomenon:
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Though Functioning perfectly in apply, this intuitively may perhaps manage to contradict Suggestions for example $L_2$-weight regularization which in fact punishes significant magnitude weights. This motivates much more included procedures which discover pruning masks making use of gradient-based mostly solutions or even larger-buy curvature information.
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Daniel Kokotajlo asks whether the lottery ticket hypothesis, if genuine, would counsel that machine Finding out will go on to solve a lot more challenges as we implement extra computing energy to it.
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