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- W123936502 abstract "A read once ABP is an arithmetic branching program with each variable occurring in at most one layer. We give the first polynomial time whitebox identity test for a polynomial computed by a sum of constantly many ROABPs. We also give a corresponding blackbox algorithm with quasi-polynomial time complexity, i.e. n. The motivating special case of this model is sum of constantly many set-multilinear depth-3 circuits. The prior results for that model were only slightly better than bruteforce (i.e. exponential-time). Our techniques are a new interplay of three concepts for ROABP: low evaluation dimension, basis isolating weight assignment and low-support rank concentration." @default.
- W123936502 created "2016-06-24" @default.
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- W123936502 date "2014-01-01" @default.
- W123936502 modified "2023-09-27" @default.
- W123936502 title "Deterministic Identity Testing for Sum of Read Once ABPs." @default.
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