The mean function conditional on the observations and correlation lengths H of our GP is:, which is evaluated through a set of matrix operations26 (see Supplemental Equations).
The effects of time delay in feedback control forces on the conditional reliability function, conditional probability density and moments of first-passage time are analyzed.
From simple binary classification models through partition functions, conditional random fields, and neural nets, log-linear structure is closely related to performance in certain applications and influences fitting techniques used to train models.
For threshold value problems, the design point is obtained by searching for the maximum point of the original joint probability function, conditional upon the finite element solution being equal to the threshold value.
The test for months 13 53 is a log-rank test of equality of the survival functions, conditional on being employed in month 12.
So, a binary probit model is used in the first stage to model the adoption behavior, and in the second stage, separate regression models are used to model agricultural production function conditional on a specified criterion function.
Equation (4) establishes profit maximization with respect to the household choice of (x, F, H, L, y, N), with π( p, r, w, T - l) being the indirect profit function conditional on (T - l).
They stressed further, that the profit maximization problem (4) implies the following revenue maximization: max y, N R p, x, F, H, L, X = p ′y + N : x, F, H, L ; y, N ∈ X (7 where R p, x, F, H, L, X) is the revenue function, conditional on inputs (x, F, H, L).
Finally, as foxo1, foxo3, and foxo4 have overlapping functions, conditional triple knockout mice have been generated (reviewed in (Arden, 2008)).
The objective of this graph-based approach is thus not simply to minimize the cost function, but to minimize the cost function conditional on the proposed new clustering.
