Here, we sped up the score test, dramatically so when the background kernel changes with each test.
Finally, our computational speedups now enable (i) efficient LR testing when the background kernel is full rank, and (ii) efficient score testing when the background kernel changes with each test, as for gene gene interaction tests.
"The company gets to take advantage of a community developing at phenomenal pace: The Linux kernel changes 8 1/2 times an hour with 10,000 lines of new code written per day.
Furthermore, even when the background kernel changes entirely with every test (as in gene-gene interaction tests), our computations restrict the bottleneck computations to occur just once per test, rather than J times, where J is the number of optimization iterations.
The flow velocity (Reynolds number, Re) effect in both laminar and turbulent flow regimes (Re = ∼600 6000) indicates that the shape of the flame-kernel changes at higher velocities, but the size of the kernel does not change significantly for a given time from the moment of ignition.
However, even when this full-rank background kernel changes in a low rank manner with every test (as it would when correcting for proximal contamination), our improvement still allows the bottleneck computation to be performed only once per dataset.
The proof directly follows from the norm definition and direct estimation of attractor shift when the kernel is changed.
Figure 1 shows how the kernel density estimation changes with different bandwidth values.
This experiment demonstrates clustering while input dimensionality increases and the kernel is being changed.
Inspecting numerous (below we will drop subscripts or when talking about both and changes) distributions, it was noticed that for certain values of the Gaussian scaling index of the kernel, exhibits only small changes in statistically homogeneous areas and significant changes in areas of strong spectral energy variations.
