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Aug
11
accepted Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
Aug
10
comment Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
The flows are all from independent sources, but the sources apparently share some similar underlying behaviour, else I wouldn't get my somewhat sinusoidal results. I wonder how I can further find out what the underlying mechanics are.
Aug
10
comment Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
Actually, my PC ran out of memory with N=1000000, but removing a zero solved the problem. ;)
Aug
10
comment Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
What do you mean by ‘the eigenvectors of such an operator’ (a convolution process). In your example, do you mean the eigenvectors of your Toeplitz matrix ma, because the ones(1,5) is a moving average of five samples (the LTI operation)? I'll try to plot the eigenvectors of ma to see what they look like.
Aug
10
revised Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
added tag
Aug
10
revised Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
M<=>N
Aug
10
comment Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
@Chester - I've added some images. Thanks for trying to reproduce my results without any example. Your Gaussians aren't working, because they don't start to rise significantly after the first sample. I guess my description of the shape with the word Gaussian wasn't perfect, but the fact remains that many curves do resemble a Gaussian curve, albeit they start and end with zero mL/s (which a Gaussian never reaches).
Aug
10
revised Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
added example images and results
Aug
10
asked Principal component analysis (PCA) results in sinusoids, what is the underlying cause?
Jul
30
awarded  Autobiographer
Jul
30
comment Can you add a scalar to a matrix?
It might not be geometrically meaningful, but then again not every matrix is used in geometry.
Jul
30
asked Can you add a scalar to a matrix?
Jun
18
revised How do you pronounce $\Sigma^+$ or $\Sigma^\dagger$ (as used in Moore–Penrose pseudoinverse)?
added 239 characters in body
Jun
18
asked How do you pronounce $\Sigma^+$ or $\Sigma^\dagger$ (as used in Moore–Penrose pseudoinverse)?
Apr
3
awarded  Yearling
Mar
24
awarded  Informed
Mar
23
awarded  Commentator
Mar
23
awarded  Scholar
Mar
23
comment Find a function with certain requirements
Thank you for your elaborate answer!
Mar
23
comment Find a function with certain requirements
Thank you very much. I like your approach best, although it is quite limited to $g(x) = ax+b$, but nonetheless practical.