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They examine random reinitialisation, reshuffling of kept weights and a continual initialisation. This indicates that although we can predict a enough number of parameters to match some information completely, we nevertheless do not know the minimum quantity of parameters essential to match the information completely. Tight bounds will likely depend on everything from the optimization process (SGD vs. GD, Adam vs. Others) to the architecture. Computing a tight bound may possibly even be more computationally intractable than education all the feasible candidate networks. Intense more than-parameterization tends to make coaching significantly a lot easier.
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All round, this technique tends to make sense, but I'm not really sure why the proposed representation structure would be notably much better than other, a lot more canonical self-supervised losses, like CPC. They show Action-Conditioned CPC as a baseline when demonstrating the good quality of the representations, but not as a slot-in replacement for the MSE representations in their general architecture. - functionality shown in the table below is in fact comparing against the existing state of the art.