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2021-8-11 · II. The Goal of the Replica Method. The replica method is a way to calculate the value of some statistic ( observable in physics-speak) of where is a "typical" minimizer of and is a "typical" value for the parameters (which are also known in physics-speak as the disorder ). In Example 1 (supervised learning), the observable may be the ...

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A thermal error model for large machine tools that …

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Machine Learning Trick of the Day (1): Replica Trick

2015-9-4 · To see how we obtained this expression, we will exploit two useful identities. 1. Exponential identity: xn=exp(nlnx)=limn→01+nlnx. ⇒lnx=limn→0xn−1n(=limn→0ddnxn) The application of this identity is often referred to as the replica trick, since it is what allows us to rewrite the initial expectation in its replicated form. 2.

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