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www.ethanepperly.com | ||
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nhigham.com
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| | | | | A norm on $latex \mathbb{C}^{m \times n}$ is unitarily invariant if $LATEX \|UAV\| = \|A\|$ for all unitary $latex U\in\mathbb{C}^{m \times m}$ and $latex V\in\mathbb{C}^{n\times n}$ and for all $latex A\in\mathbb{C}^{m \times n}$. One can restrict the definition to real matrices, though the term unitarily invariant is still typically used. Two widely used matrix norms... | |
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blog.georgeshakan.com
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| | | | | In this post, I talk about the mathematical foundations of PCA | |
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nickhar.wordpress.com
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| | | | | 1. Low-rank approximation of matrices Let $latex {A}&fg=000000$ be an arbitrary $latex {n \times m}&fg=000000$ matrix. We assume $latex {n \leq m}&fg=000000$. We consider the problem of approximating $latex {A}&fg=000000$ by a low-rank matrix. For example, we could seek to find a rank $latex {s}&fg=000000$ matrix $latex {B}&fg=000000$ minimizing $latex { \lVert A - B... | |
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jorenar.com
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| | | [AI summary] The provided text is a comprehensive overview of various advanced C programming techniques and features. It covers topics such as preprocessor tricks, metaprogramming, inline assembly, coroutines, and more. The text also includes examples of using _Generic for type-based dispatch, handling variadic functions safely, and implementing a garbage collector. The content is highly technical and demonstrates the flexibility and power of the C language. | ||
