Self-Organization of Associative Database and Its Applications

Suzuki, Hisashi, Arimoto, Suguru

Neural Information Processing Systems 

Here, X is a finite or infinite set, and Y is another finite or infinite set. A learning machine observes any set of pairs (x, y) sampled randomly from X x Y. (X x Y means the Cartesian product of X and Y.) And, it computes some estimate j:

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