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This procedure takes a shorter time and requires less elements than the usual constant DDM when achieving the same accuracy.
The results show that the FPGA-based implementation runs 24.45 times faster than the PC-based counterpart while achieving the same accuracy.
In contrast to the state-of-the-art tensorbased alternating least squares SVD (ALS-SVD) and modified alternating least squares SVD (MALSSVD) matrix approximation methods, TNrSVD can be up to 17 times faster while achieving the same accuracy.
For example, to fit a 10-class logistic regression model on the mnist8m dataset, stochastic gradient descent (SGD) implemented with Splash is 25x faster than MLlib's L-BFGS and 75x faster than MLlib's mini-batch SGD for achieving the same accuracy.
BEM requires fewer boundary elements than the finite element method (FEM) when achieving the same accuracy (Ghassemi et al. 2001; Elleithy and Tanaka 2003; Ghassemi and Zhang 2004; Soares et al. 2004; Gun and Gao 2014; Cheng et al. 2015).
However, the authors believe that geometric parameters estimated by calibration can be obtained with high accuracy and that achieving the same accuracy by direct measurement would require expensive and advanced equipment.
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Numerical results show that to achieve the same accuracy, our method takes much shorter computing time.
This algorithm uses a much smaller domain than the truncation approach in order to achieve the same accuracy.
Compared with the traditional truncation approach, asymptotic boundary conditions need a much smaller domain to achieve the same accuracy.
The results indicate that the proposed method requires substantially less MC transport solutions to achieve the same accuracy.
Compared with the Chirp Z-transform (CZT), the proposed algorithm can achieve the same accuracy as CZT.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com