(For example, compressed sensing is often applied to image reconstruction from scattered light intensities. These intensities are continuously valued and not discrete. It seems possible that the scattering medium might introduce nonlinearities, thereby making our methods of interest).
Sixth, except for motor vehicle accidents [ 16], we used the Global Burden of Disease ICD-10 cause of death categories, making our methods similar to national and international studies [ 15, 21].
More importantly, expensive field surveys can be avoided for sample labeling, making our method suitable for practical large-scale SAR image understanding.
We prove a recursive lower bound on the coarse Ricci curvature of multiple steps in the Markov chain, making our method broadly applicable.
Furthermore, Minkowski metric is utilized to take into account the influence of the L-p distance (p ≥ 0), making our method adaptive to different application tasks.
Our method has several limitations: Some instances of the problem still require exponential running time, making our method impractical for finding a minimal perturbation for large models.
We next examined whether these same genes could be identified using more standard analytic approaches (making our method redundant) or whether our approach provides truly independent information.
In the latter case, manual intervention could be needed in order to exclude background tissues, thus making our method more observer dependent.
However, this has the advantage of making our method very easy to program, as there is no complex programming overhead, for instance in choosing the timestep for τ-leap methods.
By simulation, we have shown that, when the variances of gene expressions are near constant, MBIS still outperforms both the t-test and SAM, making our method applicable in various situations.
We also performed simulations using overlapping regions of 750 sites and 300 sites, respectively (supplementary fig. S3, Supplementary Material online), based on the parameters used in figure 3 A and B. When the overlapping region is short and the distance is low, many sequences had no substitution in NS sites or SN sites, making our method inapplicable.
