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Clarification on the Redundancy in "Quasi-Monte Carlo Sampling with Low-Discrepancy Sequence" #400

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LiuZengqiang opened this issue Jul 30, 2024 · 0 comments

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@LiuZengqiang
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In PBR-IBL-Specular IBL section, the text states:
"By combining Quasi-Monte Carlo sampling with a low-discrepancy sequence and biasing the sample vectors using importance sampling, we get a high rate of convergence. Because we reach the solution at a faster rate, we'll need significantly fewer samples to reach an approximation that is sufficient enough."

As far as I understand, Quasi-Monte Carlo (QMC) inherently involves the use of low-discrepancy sequences to improve the sampling efficiency and convergence rate. Hence, mentioning "combining Quasi-Monte Carlo sampling with a low-discrepancy sequence" seems redundant because QMC sampling already implies the usage of low-discrepancy sequences.

Would it be more accurate and concise to phrase it as:
"By using Quasi-Monte Carlo sampling with importance sampling, we achieve a high rate of convergence. This allows us to reach the solution faster and significantly reduce the number of samples needed for a sufficient approximation."?

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