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发掘函数级单指令多数据向量化的方法
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作者 李颖颖 高伟 +2 位作者 高雨辰 翟胜伟 李朋远 《计算机应用》 CSCD 北大核心 2017年第8期2200-2208,共9页
当前面向单指令多数据(SIMD)扩展部件的两类向量化方法分别是循环级向量化方法和超字级并行(SLP)方法。针对当前编译器不能实现函数级向量化的问题,提出一种基于静态单赋值的函数级向量化方法。该方法首先分析程序的变量属性,然后利用... 当前面向单指令多数据(SIMD)扩展部件的两类向量化方法分别是循环级向量化方法和超字级并行(SLP)方法。针对当前编译器不能实现函数级向量化的问题,提出一种基于静态单赋值的函数级向量化方法。该方法首先分析程序的变量属性,然后利用一组包括向量函数子句、一致子句、线性子句等编译指示子句指导编译器实现函数级向量化,最后利用变量属性结果对向量化代码进行了优化。从多媒体和图像处理领域选择部分测试用例对所提的函数级向量化的功能和性能在国产申威平台上进行测试,与程序串行执行相比,采用函数级向量化后程序的执行效率更高。实验结果表明函数级向量化可以取得类似任务级并行的加速效果,该方法可以指导自动函数级向量化的实现。 展开更多
关键词 单指令多数据扩展 并行性 函数向量化 编译指示 静态单赋值
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基于国产PuDianNao芯片的向量函数库优化
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作者 杨指政 杜子东 文渊博 《郑州大学学报(工学版)》 CAS 北大核心 2023年第1期31-37,共7页
目前国产人工智能处理器PuDianNao芯片上的向量数学函数只能依靠循环调用标量函数来实现,该方法性能比较低。基于PuDianNao芯片提出了3种优化方法。方法一为插值方法;方法二为SIMD加掩码方法;方法三基于PuDianNao的硬件阵列结构,使用VLI... 目前国产人工智能处理器PuDianNao芯片上的向量数学函数只能依靠循环调用标量函数来实现,该方法性能比较低。基于PuDianNao芯片提出了3种优化方法。方法一为插值方法;方法二为SIMD加掩码方法;方法三基于PuDianNao的硬件阵列结构,使用VLIW指令操作阵列中的每个处理单元,封装出SIMT编程模型,提出了暴露分支范围和分支扁平化的编程方法。对以上3种方法进行精度和性能测试,对比实验结果表明,方法三具有最好的精度和性能。使用方法三实现基于国产PuDianNao芯片的向量数学函数库PuDianNao-VecMath,解决了数学函数多分支结构难以向量化的难题。该函数库精度性能较好、功能稳定、运行正确,提供的接口包括取整函数、超越函数、比较函数、激活函数等常见基础数学库函数。在精度上,将函数定义域区间全数据作为输入,运算结果和标量函数在CPU i7运行的结果进行对比。结果表明,单精度版本最大ULP值为2,半精度版本最大ULP值为1。性能与使用标量循环相比有较大提高,单精度版本相对于标量循环平均加速比平均值为18.26,最大加速比为35.90;半精度版本平均加速比平均值为15.65,最大加速比为30.11。 展开更多
关键词 向量化函数 PuDianNao-VecMath 国产人工智能处理器 暴露分支范围和分支扁平化
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Customized Optimization for Vehicle Acoustic Statistical Energy Analysis
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作者 Huang Yi Feng Qiuhan +3 位作者 Liu Jingqi Li Xueliang Liu Lin Yang Shaobo 《汽车文摘》 2024年第11期1-10,共10页
Statistical Energy Analysis(SEA) is one of the conventional tools for predicting vehicle high-frequency acoustic responses.This study proposes a new method that can provide customized optimization solutions to meet NV... Statistical Energy Analysis(SEA) is one of the conventional tools for predicting vehicle high-frequency acoustic responses.This study proposes a new method that can provide customized optimization solutions to meet NVH targets based on the specific needs of different project teams during the initial project stages.This approach innovatively integrates dynamic optimization,Radial Basis Function(RBF),and Fuzzy Design Variables Genetic Algorithm(FDVGA) into the optimization process of Statistical Energy Analysis(SEA),and also takes vehicle sheet metal into account in the optimization of sound packages.In the implementation process,a correlation model is established through Python scripts to link material density with acoustic parameters,weight,and cost.By combining Optimus and VaOne software,an optimization design workflow is constructed and the optimization design process is successfully executed.Under various constraints related to acoustic performance,weight and cost,a globally optimal design is achieved.This technology has been effectively applied in the field of Battery Electric Vehicle(BEV). 展开更多
关键词 Statistical Energy Analysis(SEA) Dynamic optimization Radial Basis Function(RBF) Vehicle sheet metal Sound package Battery Electric Vehicle(BEV)
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ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS 被引量:1
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作者 S. K. MISHRA Shouyang WANG K. K. LAI 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2007年第3期344-349,共6页
In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships betw... In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships between vector variational-like inequality problems and vector optimization problems under the assumptions of α-pseudo-univex functions. Results obtained in this paper present a refinement and improvement of previously known results. 展开更多
关键词 α-pseudo-univex functions vector optimization vector variational-like inequality problems.
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Solutions of second order degenerate integro-differential equations in vector-valued function spaces 被引量:4
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作者 BU ShangQuan CAI Gang 《Science China Mathematics》 SCIE 2013年第5期1059-1072,共14页
We study the well-posedness of the second order degenerate integro-differential equations (P2): (Mu)t'(t) + a(Mu)'(t) = Au(t) + ft_c~ a(t - s)Au(s)ds + f(t), 0 ≤ t ≤ 27r, with periodic bounda... We study the well-posedness of the second order degenerate integro-differential equations (P2): (Mu)t'(t) + a(Mu)'(t) = Au(t) + ft_c~ a(t - s)Au(s)ds + f(t), 0 ≤ t ≤ 27r, with periodic boundary conditions Mu(O) = Mu(27r), (Mu)'(O) = (Mu)'(2π), in periodic Lebesgue-Bochner spaces LP(T,X), periodic Besov spaces BBp,q(T, X) and periodic Triebel-Lizorkin spaces F~,q('F, X), where A and M are closed linear operators on a Banach space X satisfying D(A) C D(M), a C LI(R+) and a is a scalar number. Using known operator- valued Fourier multiplier theorems, we completely characterize the well-posedness of (P2) in the above three function spaces. 展开更多
关键词 Fourier multiplier degenerate integro-differential equation WELL-POSEDNESS Besov spaces Triebel- Lizorkin spaces
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