Sentence examples for minimization of y from inspiring English sources

Minimization of y can be carried out in various ways.

On minimization of y, some of the c i values will attain non-zero values in [0,1] and the others are very close to zero.

E is equivalent to the minimization of E H [Y(E |C S I].

On the other hand for a given θ(Y), minimization of ε 2 with respect to a single function ϕ j (X j ) yields the following equation: phi_{j} (X_{j} ) = Eleft[ {theta (Y) - sumlimits_{i ne j}^{p} {phi_{i} (X_{i} )|X_{j} } } right].

For example, Krein studied in [7] the minimization problem of weighted Dirichlet eigenvalues of y ¨ + λ w ( t ) y = 0, t ∈ [ 0, 1 ].

Depending on the sign of E i − ∑ j ∈ S i y ij, minimization of (7) yields either t i ≥ E i −∑ j ∈ S i y ij or t i ≥− E i +∑ j ∈ S i y ij ∀ i.

Depending on the sign of E i − ∑ j ∈ S i y ij, minimization of (7 ) yields either t i ≥ E i −∑ j ∈ S i y ij or t i ≥− E i +∑ j ∈ S i y ij ∀ i. Formulation (3 - 6) is simplified by reformulating the non-linear integer program into a mixed integer problem, which is linear for a fixed λ w.

Thus, for a given set functions ϕ 1(X 1), …, ϕ p (X p ), minimization of ε 2 with respect to θ(Y) yields the following equation: theta (Y) = {{Eleft[ {sumlimits_{i = 1}^{p} {phi (X_{i} )} |Y} right]} mathord{left/ {vphantom {{Eleft[ {sumlimits_{i = 1}^{p} {phi (X_{i} )} |Y} right]} {left| {Eleft[ {sumlimits_{i = 1}^{p} {phi (X_{i} )} |Y} right]} right|}}} right.

However, Donoho [11] indicated that the problem of the l0-norm minimization is NP-hard; an exhaustive search on the ( {C}_M^K ) combinations of Y is necessary to the acquisition of a global optimal solution.

The minimization of Equation 5 with respect to y can be computed analytically.

The objective function for the optimization is the minimization of ∑ l IRG w l · y l where the w l is the norm of the group and y l is the binary variable associated with that group.