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This paper proposes an effective way to use the TY slack for successful statistical optimization.
Increasing the values of slack variables, help in reducing the effect of noisy support vectors.
In this paper we argue that the SVDD slack variables lack a clear geometric meaning, and we therefore re-analyze the cost function to get a better insight into the characteristics of the solution.
We also introduce and analyze two new definitions of slack variables and show that one of the proposed methods behaves more robustly with respect to outliers, thus providing tighter bounds compared to SVDD.
We show that this formulation contains some unnecessary circuits which, furthermore, can fail to provide the correct value of one of the SVM parameters and suggest how to avoid these drawbacks.

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What is the difference between artifical and slack variables?5 answersArtificial variables and slack variables are different concepts. Artificial variables are introduced in linear programming to help solve problems with inequality constraints by converting them into equality constraints. They are used to find an initial feasible solution for the problem. The use of artificial variables can increase the dimension of the problem and may lead to numerical instability. On the other hand, slack variables are used to convert inequalities into equalities in constrained optimization problems. They are added to the problem to represent the surplus or excess resources available. Slack variables are commonly used in various fields such as organization management, algebraic geometry, and mixture experiments. Unlike artificial variables, slack variables are not introduced to find an initial feasible solution but rather to represent the relationship between resources and constraints in the problem.
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