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To optimize over two different workloads that appear at different times, we must (in the worst case) evaluate every combination of application configurations in the first workload and every combination of application configurations in the second workload pairwise.
The two numbers v ∥, v ⊥ quantify the geometry of the grid and are additional parameters that we may optimize over: this is a primary difference from the one-dimensional case.
Moreover, if there is a V Y such that all components in diag{I−G} are minimized simultaneously, then this V Y must be optimal because it provides the largest possible freedom to optimize over the rest variables, i.e., U X, U Y, Λ X, and Λ Y. Applying (9.H.2 in [12]) on G, we obtain λ { G } ≺ w diag { G ̂ }, (28).
Now it only remains to use the definition of subgaussianity, that is take, and optimize over.
Moreover, even if the controller order or structure are not restricted, the proposed algorithm has the advantage of being able to optimize over for stability multipliers and controllers simultaneously, thereby improving the chances of converging to the global minimum.
For decomposable score-based structure learning of Bayesian networks, existing approaches first compute a collection of candidate parent sets for each variable and then optimize over this collection by choosing one parent set for each variable without creating directed cycles while maximizing the total score.
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This article utilizes high-resolution data to identify a spatially targeted cost-effective reduction of nitrogen leakage, optimizing over measures as well as over locations.
This is more clearly seen in Figure10, where the optimal effective rates (optimized over r ̄ f ) are plotted as a function of θ.
To optimize pharmacists' over-the-counter counseling, there are several guidelines and protocols used in practice.
The cost gap is also analyzed between the strategy of optimizing over the whole time-horizon and the strategy of optimizing over the small intervals.
Here, the hyperparameters are globally optimized over the likelihood of the parameters H given our observations, or 26 (see Supplemental Equations).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com