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www.stochasticlifestyle.com | ||
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blog.autarkaw.com
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alok.github.io
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| | | | | Alok Singh's Blog | |
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yuanming.taichi.graphics
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| | | | | The first differentiable MLS-MPM simulator. | |
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peterbloem.nl
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| | | [AI summary] The pseudo-inverse is a powerful tool for solving matrix equations, especially when the inverse does not exist. It provides exact solutions when they exist and least squares solutions otherwise. If multiple solutions exist, it selects the one with the smallest norm. The pseudo-inverse can be computed using the singular value decomposition (SVD), which is numerically stable and handles cases where the matrix does not have full column rank. The SVD approach involves computing the SVD of the matrix, inverting the non-zero singular values, and then reconstructing the pseudo-inverse using the modified SVD components. This method is preferred due to its stability and ability to handle noisy data effectively. | ||
