21. However the interest is sometimes in finding the optimal value for input variables in terms of the system outcomes. 22. However, current research suggests that neuronal noise is beneficial to non-linear or complex neural networks up until optimal value . 23. In these cases, the goal is to find optimal values for input variables rather than trying all possible values. 24. The optimal values of j _ 1 and j _ 2 are discussed in the paper by Grover and Radhakrishnan. 25. That is, as the optimal value of lambda goes from 0.14 to " 1, increasingly heavy tails are implied. 26. As a check I suggest trying values for j which are . 01 more or less than the optimal value . 27. An optimal value of " M " is often selected by monitoring prediction error on a separate validation data set. 28. If the optimal value of a variable is positive ( not zero ), then the reduced cost is always zero. 29. The distortion in the lossy compression determines the coarseness of the segmentation and its optimal value may differ for each image. 30. Since computing " k "-sparse eigenvalue is NP-hard, one can approximate it by the optimal value of semidefinite programming relaxation ( ).
