The phrase "as a sparse representation" is correct and usable in written English.
It can be used in contexts related to data representation, mathematics, or computer science, particularly when discussing efficient ways to represent data with minimal storage.
Example: "The algorithm processes the input data as a sparse representation to optimize memory usage."
Alternatives: "in a sparse format" or "as a minimal representation".
The basic idea is to cast recognition as a sparse representation problem, utilizing new mathematical tools from compressed sensing and L1 minimization.
Therefore, it is necessary to reformulate a parameter estimation problem as a sparse representation problem.
The method uses non-aliasing sontourlet transform as a sparse representation of CT image.
The classical direction finding problem can be reformulated as a sparse representation problem.
This was a vector of 512 features, which could be considered as a sparse representation of the image patch's appearance.
We employ a dictionary learning algorithm to train bases, which formulates the background modeling step as a sparse representation problem.
The proposed method is based on the minimization of a cost function which involves sparsity-imposing regularization terms on the reflectivity field to be imaged, considering that it admits a sparse representation as well as on the spatial structure of the motion-related phase errors, reflecting the assumption that only a small percentage of the entire scene contains moving objects.
We extend the scope of this terminology here to define a compressible signal as one that has a sparse representation in which the signal may be approximated to high, but not perfect, accuracy.
This favors a sparse representation, as it is convenient to explain the mixture with the minimum number of sources.
These results also hold when the signal is not sparse as is, but it has a sparse representation in some orthonormal basis.
As a result, the proposed transform provides a sparse representation for two-dimensional piecewise smooth signals that resemble images.
