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arkadiusz-jadczyk.eu | ||
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blog.autarkaw.com
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g-w1.github.io
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| | | | | When I saw the following equation in the attribution patching paper, I got really confused and spent a bunch of time thinking about it: | |
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galowicz.de
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| | | | | This week I was dealing with image processing and linear algebra, and I neededa quick derivation of a specific kind of matrix.With GNU Octave to the rescue, this cost me only a few minutes!This article represents my notes from this little journey from the mathematicalderivation of the matrix and the symbolic solution that I then ported to C++. | |
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djalil.chafai.net
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| | | This post is mainly devoted to a probabilistic proof of a famous theorem due to Schoenberg on radial positive definite functions. Let us begin with a general notion: we say that \( {K:\mathbb{R}^d\times\mathbb{R}^d\rightarrow\mathbb{R}} \) is a positive definite kernel when \[ \forall n\geq1, \forall x_1,\ldots,x_n\in\mathbb{R}^d, \forall c\in\mathbb{C}^n, \quad\sum_{i=1}^n\sum_{j=1}^nc_iK(x_i,x_j)\bar{c}_j\geq0. \] When \( {K} \) is symmetric, i.e. \( {K(x,y)=K(y,x)} \) for... | ||
