I want to distribute the work from PCA among a set of workers.

So let samples $x_1,... , x_d\in \mathbb{R}^n$ be samples. Then to find a dimension reduction subspace we need

  1. covariance matrix $cov(\overrightarrow{x_i},\overrightarrow{x_j}) = \frac{1}{n} \sum_{k=1}^{n}(x_{ik} - \mu_{\overrightarrow{x_i}})(x_{jk} - \mu_{\overrightarrow{x_j}})$ where $\mu = \frac{1}{n}\sum_{i=1}^{n}x_i$
  2. Eigenvektor and -values
  3. Feature vector matrix which are the eigenvektor as as columns

My question is where can I distribute the work. I assume it is only the during the covariance matrix. Do have some book recommendation that cover distributed PCA.



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