Sentence examples for a slack variable for the from inspiring English sources

The phrase "a slack variable for the" is correct and usable in written English.
It can be used in mathematical or optimization contexts, particularly in linear programming, to refer to a variable that allows for flexibility in constraints.
Example: "In the optimization model, we introduced a slack variable for the resource constraints to ensure feasibility."
Alternatives: "a surplus variable for the" or "an auxiliary variable for the".

Exact(1)

Note that there is no need to introduce a slack variable for the relay node.

Similar(58)

Therefore, the slack variable for the source nodes (d_{j,i}^{(n)}) effectively covers the impact of the finite data buffers at the relay as well.

In order to handle the nonseparable data, the formulation is generalized by introducing a slack variable ξ for each instance y i ( w T x i + b ) ≥ 1 − ξ i, i = 1, …, n, ξ i > 0. (14).

The real non-negative γ is a slack variable associated with the sum-power constraint.

The objective function of weighted SVM can be defined as (Liu et al., 2011): (11) where ξ i is a slack variable which allows the misclassification of some training examples, and,,, and represent the penalty factors for SVM to penalize the wrongly classified examples in P, LP, RN, LN and WN, respectively.

where the ℓ 1 norm is replaced by the ℓ p norm as sparsity promoting function and r is a slack variable that represents the corrupting sparse vector.

A slack variable is introduced in the constraint, that is,, to remove the effect of the outliers.

Lagrange multiplier method [26] can be utilized to define candidates for local optimality of the objective function in Equation 4. The Lagrangian function L P, λ, η, x ) for the problem Equation 4 with Lagrange multipliers λ, η, ≥ 0 and a slack variable x is: Here, the slack variable x ensures that, i ∈ V,.

where ρ n ≥0 is a slack variable and c>0 is the penalty parameter.

ξ i is a slack variable, and m is the number of sample data points.

Following Andronescu et al. (2007), we use a slack variable d k for each constraint so that D k,. x≤ d k.

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