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- W48341918 abstract "We present a polynomial-time algorithm to improve the performance of computing the Hessian of a vector-valued function. The values of the Hessian derivatives are calculated by applying face, edge, or vertex elimination operations on a symmetric computational graph. Our algorithm detects symmetry in the graph by matching the vertices and edges with their corresponding pairs; thereby enabling us to identify duplicate operations. Through the detection of symmetry, the computation costs can potentially be halved by performing only one of each of these operations." @default.
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- W48341918 date "2008-01-01" @default.
- W48341918 modified "2023-10-18" @default.
- W48341918 title "A Polynomial-Time Algorithm for Detecting Directed Axial Symmetry in Hessian Computational Graphs" @default.
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- W48341918 doi "https://doi.org/10.1007/978-3-540-68942-3_9" @default.
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