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I want to use NMF to separate true sources from data. My data is in group structure with overlap elements. For example (in the smaller version)

  • group1: contains A,B,C,D,E,F,G patterns
  • group2: contains B,C,G,H,I,J patterns
  • group3: contains B,K,L patterns

In the data, A,B,C,D are detected, and group A should be the result as true source. I try using l1-norm as a penalty term for group-sparsity but the result does not look nice yet. I think the problem is l1 may not be enough to restrain since B appears in every groups. Plus, E,F,G in group A are allowed to be missing.

What can I do to make my NMF better in this particular situation? In fact, each group has about 20-400 patterns and overlap can be about 10%

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