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1 vote
1 answer
108 views

What are the dimensions/units in the kernel density estimate?

I've been reading about the kernel density estiamte and the dimensions/units don't make sense to me. Let $x$ have the dimensions of distance/length (L), i.e. $$[x] = L,$$ where I am using square ...
Peanutlex's user avatar
  • 1,027
0 votes
2 answers
538 views

Am I Misunderstanding Principal Component Analysis (PCA)?

Principal Component Analysis (PCA) has routinely caused me to question my understanding of mathematics, particularly linear algebra. Once again, PCA is present and I would like to engage to the ...
OctoCatKnows's user avatar
0 votes
0 answers
250 views

Why does sparseness result in NMF solution?

I am having trouble understanding the interpretation of a sparse matrix: I am studying Non Negative Matrix Factorization, and I noticed that, even without specifying any constraint, I often obtain ...
Valentina's user avatar
8 votes
1 answer
1k views

What are the measurement units of Fisher information? (Dimensional Analysis)

I know that there is a strong relationship between Shannon entropy and thermodynamic entropy -- they even have the same units and differ only by a constant factor. This suggests that they both ...
Chill2Macht's user avatar
  • 21.3k
0 votes
1 answer
169 views

Loss of information while projecting multidimensional data

I'm interested in the evaluation of the loss of information after projecting multidimensional data. Since the dimensional reduction is a common tool to analyse data,a question about the loss of ...
Sonya's user avatar
  • 1