We denote the patch contaminated with noise as x N o i s e ∈ ℝ Q. Since, unlike the SDOCT image, noise is not expected to be sparsely represented by D, the sparse solution of the denoising problem [ 34] can be obtained from where ‖ · ‖ 2 2 and ‖ · ‖ 0 represent the ℓ 2 and ℓ 0 -norms, respectively, and ω is the error tolerance.
True biological networks are known to be sparsely connected, so we would expect sparse network matrices A. The prior should force as many entries of A close to zero as possible, at the expense of allowing for fairly large values of a few components.
When the Y ∈ RM × 1 is K-sparse signal, the Y do not need to be sparsely represented, so the dictionary base is an identity matrix.
Since gene regulatory networks are known to be sparsely connected, many inference methods specify constraints to favor sparse networks in the inference process.
Some theaters may be sparsely attended these difficult days.
There, in the midst of what used to be sparsely populated exurbia, a complete city streetscape was constructed, with sidewalks, street happenings and tall buildings.
Despite widespread fears that stands would be sparsely populated, the IPC said the Games were a virtual sellout with 283,000 tickets sold.
She said registrations for the convention were lagging far behind previous years, making it clear that the four-day gathering — scheduled for late April in Chicago — would be sparsely attended.
The Yankees have won three consecutive World Series but might be sparsely represented because none of their position players are front-runners in the voting, and no one is having a big offensive season.
Some of the deals are seasonal, such as British Airways' offer of $99 each way from New York to London, to help fill planes that would otherwise be sparsely loaded.
Funerals for people in their 90s tend to be sparsely attended affairs, with but a sprinkling of contemporaries and maybe some friends of the children and grandchildren on hand for moral support.
