Abstract:We give a new probabilistic algorithm for interpolating a "sparse" polynomial f given by a straight-line program. Our algorithm constructs an approximation f * of f , such that f − f * probably has at most half the number of terms of f , then recurses on the difference f −f * . Our approach builds on previous work by Garg andSchost (2009), andRoche (2011), and is asymptotically more efficient in terms of the total cost of the probes required than previous methods, in many cases.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.