Alternatively,givenapair ofshapes, our method can register the first onto the second (or vice-versa), obtaining a high-quality dense correspondence betweenthetwo.

Optimal auctions maximize a seller's expected revenue subject to individual rationality and strategyproofness for the buyers.

In 1988, Eric B. Baum showed that two-layers neural networks with threshold activation function can perfectly memorize the binary labels of n points in general position in R

WeobservethatwithReLUnetworks, using four times as many neurons one can fit arbitrary real labels.