2min chapter

Generally Intelligent cover image

Episode 32: Jamie Simon, UC Berkeley: On theoretical principles for how neural networks learn and generalize

Generally Intelligent

CHAPTER

The Eigen Learning Framework Describes the Learning of Kernel Methods in This Sort of Sense

The eigen learning framework describes the learning of kernel methods in this sort of like eigen sense is that this quantity called learnability acts as a natural currency for the inductive bias of a given kernel on data distribution. Each eigen mode must get between 0 and 1 unit of learnability modes with higher eigen value get more learnability according to a simple formula. You can understand a whole variety of other interesting things you might care about such as importantly the mean squared error of your predictor entirely in terms of how much learnability is allocated to each eigen mode Interesting so the picture we derive here is sort of a two part framework where first you ask how does your kernel allocate learnability to

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