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Mon Mar 30 13:16:47 CEST 2009
normal numbers / autodiff -> memoized expressions
Combining data structures reminds me of normal numbers and automatic
differentiation: instead of producing a giant expression, autodiff
produces a memoized version that has lower complexity than a fully
subsituted single expression. Differentiation doesn't really change
complexity, but it is a "convolution" operation that increases only
memory use.
Maybe this can be generalized to composition of any
signal/image-processing operations: instead of working with
intermediate representations, use deforestation to construct memoized
expression iterators.
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