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Journal: bioRxiv
Article Title: Fast estimation of L1-regularized linear models in the mass-univariate setting
doi: 10.1101/2020.01.16.909234
Figure Lengend Snippet: Benchmark results for the three lasso functions lasso_mex , lasso_mexcuda and lasso_gpu . A: Benchmark for an overparameterized setting with n = 300 time points and p = 5000 predictors, corresponding for example to an encoding model with a large feature space. The lasso_mex function required considerably less running time for whole-brain estimates than the standard lasso function (Matlab, orange) on a single CPU core (C++, light blue). Distributing computations across multiple CPU cores further reduced the running time of the lasso_mex function (OpenMP, dark blue). The lasso_mexcuda function, which runs the ADMM algorithm on a GPU using the cuBLAS library, further accelerated the estimation procedure (cuBLAS, green). The lasso_gpu function, which runs the ADMM algorithm on the GPU using the Parallel Computing Toolbox, provided the highest speed-up factor for benchmark A (gpuArray, green/orange). B: Benchmark for a well-defined setting with fewer predictors than time points ( n = 300, p = 200), corresponding for example to a single-trial or FIR model. Again, on a single CPU core, the lasso_mex function fitted L1-regularized models more efficiently than the standard lasso function. Further speed-up could be achieved by distributing computations across multiple CPU cores. The GPU-based implementations ( lasso_mexcuda , lasso_gpu ) performed not as fast as the multicore CPU version on this benchmark, as the GPU was not fully occupied in this small-scale setting. Unregularized (OLS, yellow) or L2-regularized (ridge, gray) model estimation using closed-form solutions remains faster than accelerated L1-regularization. Absolute computation times are given in .
Article Snippet: The second version ( lasso_gpu ) is implemented directly in
Techniques: