Accelerating tile low-rank GEMM on sunway architecture: POSTER

Qingchang Han, Hailong Yang, Zhongzhi Luan, D. Qian
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引用次数: 1

Abstract

Tile Low-Rank (TLR) GEMM can significantly reduce the amount of computation and memory footprint for matrix multiplication while preserving the same level of accuracy [1]. TLR-GEMM is based on the TLR data format, which is an efficient method to store large-scale sparse matrix. The large matrix is divided into several blocks also known as tile, and non-diagonal tile is compressed into the product of two tall and skinny matrices (in low-rank data format). TLR-GEMM performs the multiplication of TLR matrix A and B to obtain matrix C. TLR-GEMM can be implemented in batch mode, that is, multiple threads are started, and each thread applies the operations onto its corresponding tiles, including dense GEMM, SVD and QR decomposition. One research challenge in the field of TLR-GEMM is that modern high-performance processors often use diverse architectures, which requires adapting to the unique architecture features to achieve better performance.
加速瓷砖低等级宝石在双威建筑:海报
Tile Low-Rank (TLR) GEMM可以显著减少矩阵乘法的计算量和内存占用,同时保持相同的精度水平[1]。TLR- gemm基于TLR数据格式,是一种存储大规模稀疏矩阵的有效方法。大矩阵被分成几个块(也称为tile),非对角线的tile被压缩成两个又高又瘦的矩阵的乘积(以低秩数据格式)。TLR-GEMM将TLR矩阵A和B相乘得到矩阵c。TLR-GEMM可以采用批处理的方式实现,即启动多个线程,每个线程将这些操作应用到对应的tile上,包括密集GEMM、SVD和QR分解。TLR-GEMM领域的一个研究挑战是,现代高性能处理器通常使用多种架构,这需要适应独特的架构特征以获得更好的性能。
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