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    • 63. 发明申请
    • RUNTIME OF CUBLAS MATRIX MULTIPLICATION ON GPU
    • GPU上的CUBLAS矩阵多项式运行
    • US20170046307A1
    • 2017-02-16
    • US14823889
    • 2015-08-11
    • INTERNATIONAL BUSINESS MACHINES CORPORATION
    • Alexey Y. LvovJinjun XiongVladimir Zolotov
    • G06F17/16G06T1/20
    • G06F17/16G06T1/20G06T2200/28
    • Methods for improving matrix multiplication runtimes are provided. A method includes determining, by a GPU, optimal partitions for matrix-by-matrix multiplication of two factor matrices having sizes known a priori. The determining step includes performing offline a plurality of matrix-by-matrix multiplication executions, each for a respective different combination of two-way partitions across a plurality of partition sizes. The determining step further includes determining offline a respective performance number for each of the executions based on runtime. The determining step also includes recursively repeating offline said performing and determining steps until the respective performance number ceases to improve for best-performing combinations of the two-way partitions and saving the best performing combinations of the two-way partitions as the optimal partitions. The method further includes performing online, by the GPU, the matrix-by-matrix multiplication of the two factor matrices using calls for a given one of the best performing combinations of the two-way partitions.
    • 提供了改进矩阵乘法运行时的方法。 一种方法包括由GPU确定具有先验已知的尺寸的两个因子矩阵的逐矩阵乘法的最佳分区。 所述确定步骤包括执行多个矩阵逐矩阵乘法执行,所述多个逐行矩阵乘法执行各自针对跨多个分区大小的双向分区的相应不同组合。 所述确定步骤还包括基于运行时确定每个所述执行的脱机相应的性能编号。 确定步骤还包括递归地重复离线所述执行和确定步骤,直到相应的性能编号不再改进以用于双向分区的最佳执行组合并且将双向分区的最佳执行组合保存为最佳分区。 该方法还包括使用对双向分区的最佳执行组合中的给定的一个的调用,由GPU在线执行两个因子矩阵的逐矩阵乘法。
    • 64. 发明授权
    • Parasitic extraction in an integrated circuit with multi-patterning requirements
    • 具有多图案化要求的集成电路中的寄生提取
    • US09171124B2
    • 2015-10-27
    • US14139023
    • 2013-12-23
    • INTERNATIONAL BUSINESS MACHINES CORPORATION
    • Nathan BuckBrian DreibelbisJohn P. DubuqueEric A. ForemanPeter A. HabitzDavid J. HathawayJeffrey G. HemmettNatesan VenkateswaranChandramouli VisweswariahVladimir Zolotov
    • G06F17/50
    • G06F17/5081G06F17/5036G06F2217/82
    • Systems and methods are provided for extracting parasitics in a design of an integrated circuit with multi-patterning requirements. The method includes determining resistance solutions and capacitance solutions. The method further includes performing parasitic extraction of the resistance solutions and the capacitance solutions to generate mean values for the resistance solutions and the capacitance solutions. The method further includes capturing a multi-patterning source of variation for each of the resistance solutions and the capacitance solutions during the parasitic extraction. The method further includes determining a sensitivity for each captured source of variation to a respective vector of parameters. The method further includes determining statistical parasitics by multiplying each of the resistance solutions and the capacitance solutions by the determined sensitivity for each respective captured source of variation. The method further includes generating as output the statistical parasitics in at least one of a vector form and a collapsed reduced vector form.
    • 提供了用于在具有多图案化要求的集成电路的设计中提取寄生效应的系统和方法。 该方法包括确定电阻解和电容解。 该方法还包括执行电阻解和电容解的寄生提取以产生电阻解和电容解的平均值。 该方法还包括在寄生提取期间捕获每个电阻解决方案和电容解的多图案变化源。 该方法还包括确定每个捕获的变化源与相应的参数矢量的灵敏度。 该方法还包括通过将每个电阻解和电容解乘以每个相应捕获的变化源的灵敏度来确定统计寄生效应。 该方法还包括以矢量形式和折叠缩小矢量形式中的至少一个生成统计寄生效应作为输出。
    • 67. 发明授权
    • Performing statistical timing analysis with non-separable statistical and deterministic variations
    • 用不可分的统计和确定性变化进行统计时序分析
    • US08683409B2
    • 2014-03-25
    • US13768563
    • 2013-02-15
    • International Business Machines Corporation
    • Jeffrey G. HemmettDebjit SinhaNatesan VenkateswaranChandramouli VisweswariahVladimir Zolotov
    • G06F9/455G06F17/50
    • G06F17/504G06F2217/10G06F2217/84
    • In one embodiment, the invention is a method and apparatus for performing statistical timing analysis with non-separable statistical and deterministic variations. One embodiment of a method for performing timing analysis of an integrated circuit chip includes computing delays and slews of chip gates and wires, wherein the delays and slews depend on at least a first process parameter that is deterministic and corner-based and a second process parameter that is statistical and non-separable with the first process parameter, and performing a single timing run using the timing quantity, wherein the single timing run produces arrival times, required arrival times, and timing slacks at outputs, latches, and circuit nodes of the integrated circuit chip. The computed arrival times, required arrival times, and timing slacks can be projected to a corner value of deterministic variations in order to obtain a statistical model of the delays and slews at the corresponding corner.
    • 在一个实施例中,本发明是用于以不可分的统计和确定性变化执行统计时序分析的方法和装置。 用于执行集成电路芯片的定时分析的方法的一个实施例包括计算芯片栅极和导线的延迟和压摆,其中所述延迟和压摆取决于至少一个确定性和基于角的第一工艺参数,以及第二工艺参数 其与第一过程参数是统计的且不可分离的,并且使用定时数量执行单个定时运行,其中单个定时运行产生到达时间,所需的到达时间和定时偏移在输出,锁存器和电路节点 集成电路芯片。 计算的到达时间,所需的到达时间和定时松弛可以被投影到确定性变化的角落值,以便获得相应角落处的延迟和压摆的统计模型。