For this problem, we’re going to use R’s ppois function, which gives the cumulative probability or expected value of an event- essentially it is a maximum likelihood estimator. This is a digital version of the table of probabilities included as an appendix in your favorite statistics book. ...
Jiuzhang 1.0 generated over 50 million binary count patterns from superconducting nano-wire click detectors in \(\approx 200\text {s}\). The experimentalists estimated it would take Fugaku, the largest supercomputer at the time, 600 million years to generate the same number of samples using the...
The angular r2 score is defined as the r2 score of sin (ϑ) concatenated with cos (ϑ) for all samples, where ϑ is the angle. (e-f) Accuracy of the model in predicting the (e) azimuth and (f) size of the obstacle in the retinal images. N = 2,646. Source data Extended ...
Table 2 Samples of previous contributions showing effect of AI branches within energy systems Full size table There are more and more research examples that are strongly similar in terms of idea as well as motivations whereas different in the proposed methodology to achieve this idea (Garud et al...
At the Hydraulic Fracturing Testing Site (HFTS) located in the Permian Basin, Texas, a large number of tightly-spaced hydraulic fractures are also observed in the ~600 ft retrieved core samples (Gale et al., 2018). The field evidence from different basins shows that hydraulic fracture swarming...
Modeling the sky densities as a series of layers (called spherical shells in Nishita's paper) also presents an advantage from a computational point of view. As we will perform a numerical integration along the path of the light towards the viewer, samples taken at a position in the atmospher...
Subsequently, for a target population, scCube randomly samples the same proportion of grids based on the proportion of this population in the generated data, and assigns all cells (or spots) which belongs to this population to the spatial positions in the sampled grids. This step repeats \(c...
Phenotype distribution Our first experiment aims to verify that the values of the generated phenotype are in accordance with the desired distribution. We generated a segment containing 10,000 genotypes for 2,000 samples using Hudson et al.'s ms [16] simulator. From the generated genotypes, we ...
In the above example I did not include this adjustment so the samples are from the original target density restricted to the constraint manifold. References M. A. Brubaker, M. Salzmann, and R. Urtasun. A family of MCMC methods on implicitly defined manifolds. In Proceedings of the 15th ...
For eQTL analysis, we simulated 500 cells for each of 100 individuals in 10 batches with 10 individuals per batch using ss2-iPSC as a reference. We assigned eQTL effects to 70% of simulated genes. Because splatPop samples eQTL effect sizes from a distribution estimated from empirical eQTL mapp...