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@article{1399331, author = {Fousek, Jan}, article_number = {5}, doi = {http://dx.doi.org/10.1007/s11227-017-2194-4}, keywords = {Neural field;Sparse matrix;SpMV;Delay differential equations;Data locality}, language = {eng}, issn = {0920-8542}, journal = {The Journal of Supercomputing}, title = {Efficient sparse matrix-delayed vector multiplication for discretized neural field model}, url = {https://doi.org/10.1007/s11227-017-2194-4}, volume = {74}, year = {2018} }
TY - JOUR ID - 1399331 AU - Fousek, Jan PY - 2018 TI - Efficient sparse matrix-delayed vector multiplication for discretized neural field model JF - The Journal of Supercomputing VL - 74 IS - 5 SP - 1863-1884 EP - 1863-1884 PB - Springer US SN - 09208542 KW - Neural field;Sparse matrix;SpMV;Delay differential equations;Data locality UR - https://doi.org/10.1007/s11227-017-2194-4 L2 - https://doi.org/10.1007/s11227-017-2194-4 N2 - Computational models of the human brain provide an important tool for studying the principles behind brain function and disease. To achieve whole-brain simulation, models are formulated at the level of neuronal populations as systems of delayed differential equations. In this paper, we show that the integration of large systems of sparsely connected neural masses is similar to well-studied sparse matrix-vector multiplication; however, due to delayed contributions, it differs in the data access pattern to the vectors. To improve data locality, we propose a combination of node reordering and tiled schedules derived from the connectivity matrix of the particular system, which allows performing multiple integration steps within a tile. We present two schedules: with a serial processing of the tiles and one allowing for parallel processing of the tiles. We evaluate the presented schedules showing speedup up to 2x on single-socket CPU, and 1.25x on Xeon Phi accelerator. ER -
FOUSEK, Jan. Efficient sparse matrix-delayed vector multiplication for discretized neural field model. \textit{The Journal of Supercomputing}. Springer US, 2018, vol.~74, No~5, p.~1863-1884. ISSN~0920-8542. Available from: https://dx.doi.org/10.1007/s11227-017-2194-4.
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