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Fanout decomposition dataflow optimizations for FPGA-based Sparse LU factorization

机译:基于FPGA的稀疏LU分解的扇出分解数据流优化

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Performance of FPGA-based token dataflow architectures is often limited by the long tail distribution of parallelism in the compute paths of the dataflow graphs. This is known to limit speedup of dataflow processing of Sparse LU factorization to only 3-10x over CPUs. One reason behind the limitations is the serialization penalty of processing high-fanout nodes in the dataflow graph on traditional dataflow processing architectures. In this paper, we show how to perform one-time static fanout decomposition and selective node replication transformations to input dataflow graphs. These transformations are one-time static compute costs that are typically amortized over millions of iterations. For dataflow graphs extracted for sparse LU factorization, we demonstrate up to 2.3x speedup (1.2x geomean average) with this technique across a range of benchmark problems.
机译:基于FPGA的令牌数据流体系结构的性能通常受到数据流图的计算路径中并行性的长尾分布的限制。众所周知,这将稀疏LU分解的数据流处理速度限制为CPU的3-10倍。限制背后的原因之一是在传统数据流处理体系结构上处理数据流图中的高扇出节点的序列化代价。在本文中,我们展示了如何对输入数据流图执行一次性静态扇出分解和选择性节点复制转换。这些转换是一次性的静态计算成本,通常在数百万次迭代中摊销。对于为稀疏LU分解而提取的数据流图,我们证明了该技术在一系列基准测试问题上的速度提高了2.3倍(平均几何平均值为1.2倍)。

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