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Independent Component Analysis
psambit9791 edited this page Dec 3, 2023
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We apply the Independent Component Analysis to find underlying independent sources from observed mixtures of signals. There are certain assumptions underlying this method:
- the statistical independence of the source signals
- the observed signals being a linear combination of the source signals
- the sources of the signals are non-Gaussian
- Source 1:
$\sin(2\pi t)$ - Source 2:
$\sin(12\pi t)$ - Source 3:
$\sin(26\pi t)$
- Observation 1:
$\sin(2\pi t) + \sin(12\pi t) + \sin(26\pi t)$ - Observation 2:
$0.5\sin(2\pi t) + 2\sin(12\pi t) + \sin(26\pi t)$ - Observation 3:
$1.5\sin(2\pi t) + \sin(12\pi t) + 2\sin(26\pi t)$
long seed = 32; //For random state initialisation weights
ICA obj = new ICA(observed, seed); //observed is double[][]
obj.fit();
double[][] recovered = obj.transform();
double[][] recovered_unknown = obj.transform(unknown); //unknown is double[][]
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Filters
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