Dictionary Learning: Reconstructing Incomplete Signals

[steve_elf]

Hi guys! I am new here and I have a question related to the dictionary learning. For the dictionary learning, three critical elements are the dictionary, sparse coefficients and a signal for dictionary learning. Currently I have a dictionary D for learning all the signals in the set S, so for a signal s in the S, we can have s=Dw where w represents sparse coefficients. My question is that I now have an incomplete signal U and U can be regarded as a component of a signal in the S, so that s = U+T where T represents another component. So in this case how to reconstruct a signal s (in the signal set S) which best fits U using the dictionary D? I would be very grateful if you could give me some suggestions on this.

[Moderator's note: moved from a technical forum.]

 

[fresh_42]

Hello and !

Can you explain a bit more? What is dictionary learning and how are the sets $S,U,T$ precisely defined?