Adaptive tile matrix representation and multiplication

    公开(公告)号:US10061748B2

    公开(公告)日:2018-08-28

    申请号:US14966860

    申请日:2015-12-11

    Applicant: SAP SE

    CPC classification number: G06F17/16

    Abstract: According to some embodiments, matrix A data may be loaded into a temporary, unordered starting representation that contains coordinates and values for each element of matrix A. Z-curve ordering of matrix A may be performed to create a two-dimensional density map of matrix A by counting matrix elements that are contained in logical two-dimensional block cells of a given size. A quad-tree recursion may be executed on the two-dimensional density map structure in reduced Z-space to identify areas of different densities in the two dimensional matrix space. An adaptive tile matrix representation of input matrix A may then be created. According to some embodiments, an adaptive tile matrix multiplication operation may perform dynamic tile-granular optimization based on density estimates and a cost model.

    ADAPTIVE TILE MATRIX REPRESENTATION AND MULTIPLICATION

    公开(公告)号:US20170168990A1

    公开(公告)日:2017-06-15

    申请号:US14966860

    申请日:2015-12-11

    Applicant: SAP SE

    CPC classification number: G06F17/16

    Abstract: According to some embodiments, matrix A data may be loaded into a temporary, unordered starting representation that contains coordinates and values for each element of matrix A. Z-curve ordering of matrix A may be performed to create a two-dimensional density map of matrix A by counting matrix elements that are contained in logical two-dimensional block cells of a given size. A quad-tree recursion may be executed on the two-dimensional density map structure in reduced Z-space to identify areas of different densities in the two dimensional matrix space. An adaptive tile matrix representation of input matrix A may then be created. According to some embodiments, an adaptive tile matrix multiplication operation may perform dynamic tile-granular optimization based on density estimates and a cost model.

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