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    • 3. 发明申请
    • OPTIMIZER FOR DETERMINING AN OPTIMAL SEQUENCE OF OPERATIONS FOR MATRIX-VECTOR MULTIPLICATION
    • 用于确定矩阵向量乘法的最优操作序列的优化器
    • WO2017065628A1
    • 2017-04-20
    • PCT/RU2015/000663
    • 2015-10-12
    • HUAWEI TECHNOLOGIES CO., LTD.
    • TRIFONOV, Peter VladimirovichRETS, Stanislav PetrovichWANG, YuangangCHEN, Chen
    • G06F17/16H03M13/00
    • G06F17/16G06F7/724G06F11/1076H03M13/1515H03M13/1575H03M13/373H03M13/3761H03M13/611H03M13/616
    • Optimizer configured to determine an optimal sequence of operations for computing a product of a vector x with a binary matrix A, the optimizer being configured to carry out the steps: a) determining a set S of low-weight vectors z in a row space of a systematic matrix H ∈ GF (2) nxm that comprises the binary matrix A, b) selecting a subset P ⊂ {0,..., m - 1}, such that for any i ∈ P there is at least one z ∈ S with z i =1, c) selecting a sub-matrix A p as the columns of A not having indices in the subset P, d) estimating a number of algorithmic operations required to compute a first partial result y p = x A p for the vector x , and compute a second partial result Y p as a linear combination of elements of the first partial result Y p and elements of the vector x , e) performing the steps b) to d) for different subsets P, and selecting an optimal sequence of operations for computing the product x A based on a preferred subset P that yields a smallest number of algorithmic operations.
    • 被配置为确定用于计算向量x与二进制矩阵A的乘积的最优操作序列的优化器,优化器被配置为执行以下步骤:a)确定低的集合S 在系统矩阵H∈GF(2)nxm的行空间中的权重向量 z ,其包括 二进制矩阵A,b)选择一个子集P {0,...,m-1},使得对于任意的i∈P,至少有一个z∈S且z≤i= 1 ,c)选择子矩阵A p作为不具有子集P中的索引的A的列,d)估计计算第一部分结果y p所需的算法操作的数量 对于矢量 ,并计算第二部分结果 p > p 作为第一部分结果的元素的线性组合和向量的元素,e)执行 步骤b)至d)针对不同的子集P,并选择opt 用于基于产生最少数量的算法操作的优选子集P来计算产品x的操作序列。