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ELABORATION 1.8 Common and distinct in spectroscopy

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Suppose that the same set of samples is measured in the UV-Vis regime (block X1) and with near-infrared (NIR, block X2). Also assume that this set of samples contains three chemical components (A,B,C): A absorbs both in UV-Vis and NIR; B only absorbs in the UV-Vis regime and C absorbs only in NIR. Then the common part is the absorption of A in both data blocks; the distinct parts are B in block 1 and C in block 2. However, at a particular wavelength in the NIR region there may be a contribution from both A and C. Hence, this wavelength, i.e., variable, has a common and a distinct part. The same can happen in block 1.

Multiblock Data Fusion in Statistics and Machine Learning

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