For this path, these instances were sparse and this was the case for all 5 paths; overall, the difference in velocities was significantly different from zero 8.6% of the time at the p<0.01 level and 2.8% of the time at the p<0.001 level.
Still, while the pattern of camera's projector can be visible, in cloudy conditions for instance, the resulting sparse depth map is exploitable and allows good predictions.
Algorithms solving the problem exactly have been designed but the running time is improved over trivial brute-force solutions only for very sparse instances.
The IMF is trying to measure the problems of sectors where data do not exist or are sparse: for instance, for hedge funds, money-market funds and over-the-counter derivatives.
For instance, in [12] a sparse representation-based classification (SRC) method was proposed for robust face recognition and achieved very impressive results.
For instance, [19] presents a sparse estimation example of 1-D NMR (modal) data by using Lasso [20], LARS [21] and OMP [22].
For instance, information is generally sparse (e.g. Greece, Luxembourg) or incomplete (e.g. Czech Republic, Ireland, Iceland, Norway, Poland, Turkey).
A possible explanation for the discrepancy of results is that such a hypothesis is only valid for areas where the population is generally sparse, for instance, where people of higher economic status reside.
On the other hand, another major problem confounding the existing computational algorithm is that, available PPI networks are too sparse, for instance, the average numbers of interactions per protein are 5.29, 6.98, and 10.62 in DIP [ 31], Krogan [ 22], and Gavin [ 21], respectively.
These instances are much more sparse than the others, are characterized by smaller reduction ratios, and tend to have more degenerate relaxations than the other instances.
