How can we train a dictionary in sparse representation and what are the optimum algorithms to reduce the time of execution?

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Xiaomeng Wu

I am not familar with image super resolution, but in the field of image feature extraction and image representation, people usually simply use K-means clustering to build the dictionary.

In the field of audio-related researches, I saw many people use Non-negative Matrix Factorization (NMF) to build the dictionary and generate the sparse representation at the same time.

You can also google with keywords like "sparse coding", "dictionary", "codebook" etc.

Remya Sasi

There are standard algorithms like KSVD, MOD and online dicitonary learning.

Yichang Chen

Maybe the "parametric sparse representation" can help you.