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- W1555996948 abstract "Let R be a commutative Artinian ring with identity and let X be a finite subset of R. We present an exact learning algorithm with a polynomial query complexity for the class of functions representable as $$f(x) = prodlimits_{i = 1}^n {A_i (x_i )}$$where for each 1≤i≤n, Ai is a matrix-valued mapping Ai: X→ Rmixmi+1 and m1=mn+1=1. These functions are referred to as matrix functions. Our algorithm uses a decision tree based hypothesis class called decision programs that takes advantage of linear dependencies. We also show that the class of matrix functions is equivalent to the class of decision programs." @default.
- W1555996948 created "2016-06-24" @default.
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- W1555996948 date "1997-01-01" @default.
- W1555996948 modified "2023-09-23" @default.
- W1555996948 title "Learning matrix functions over rings" @default.
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- W1555996948 doi "https://doi.org/10.1007/3-540-62685-9_4" @default.
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