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| | hadrienj.github.io
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| | In this post, we will learn about the Moore Penrose pseudoinverse as a way to find an approaching solution where no solution exists. In some cases, a system ...
| | blog.georgeshakan.com
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| | Principal Component Analysis (PCA) is a popular technique in machine learning for dimension reduction. It can be derived from Singular Value Decomposition (SVD) which we will discuss in this post. We will cover the math, an example in python, and finally some intuition. The Math SVD asserts that any $latex m \times d$ matrix $latex...
| | stephenmalina.com
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| | Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4.
| | windowsontheory.org
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| The following events will take place to honor our dear colleague and friend Luca Trevisan, that our community lost this June. RANDOM-APPROX 2024 will include a session in memory of Luca Trevisan consisting of a few short talks highlighting Luca's contributions to pseudorandomness and hardness of approximation, organized by Noga Ron-Zewi and Dieter van Melkebeek....