# Questions tagged [projection]

For on-topic questions involving the mathematical concept projection, a linear transformation $P$ such that $P=P^2$. Please include also a more statistical methods tag. For purely mathematical questions about projections it is better to ask on math SE https://math.stackexchange.com/

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### Does the conditional expectation operator have an interpretable decomposition like the projection matrix does in linear algebra?

I'm trying to draw a parallel between the concept of projections in a finite linear space to an infinite linear space. Here is the set-up, first in the finite dimensional case, and then second in the ...
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### How to interpret Diffusion Maps for the iris dataset?

This might be a poor exercise but I'm trying to understand the methods of paper and if it makes sense to adapt my linear-based workflow with PCA to non-linear manifold methods; thought trying out ...
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### Project Matrix Data onto PCA Space

Given a matrix A with dimension m by n which is a matrix of m samples and n features. Also SVD of Matrix A = U * Sigma * V^T, How to project matrix A onto its k principal components with only U and ...
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### Expected value as an orthogonal projection

I'm reading a paper in which the expected value of a random variable, $\mathbb{E}[X]$, is characterized as an orthogonal projection. This is on page 10. I've seen the geometric interpretation of ...
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In Hamilton's text I ran across the following statement: if $X$ includes a constant then the linear projection of $aY+b$ is $aP(Y\mid X)+b$ where $P(Y\mid X)$ is the linear projection of $y$ on $x$. I’...