Stop criteria

The search for an interval of uncertainty is very simple if it is known a priori that the function is monotone. Specific techniques for the most general case are explained in Chapter 6. 

Heuristic techniques or fimction approximations (i.e., the secant method) can be exploited when the fimction is monotone. 

One widely adopted technique is to move in the steepest descent direction with a step dt, which progressively increases (e.g., with dti+i = 2 dti), until an interval of 

If necessary, the prediction provided by the secant method can also be exploited on the condition that said prediction is checked it should be in the order of the current value of dt. 

When the interval of uncertainty is identified, a dedicated algorithm capable of exploiting it can be adopted. 

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Compile the next population from CurrentBest and its N mutants. Until stopping criteria is satisfied. 

We have noted the noise-sensitivity problem of the simple inverse filter and introduced modifications to alleviate these difficulties. Modifications yielded different functional forms for y(co). The convenient single-step property of the basic method was nevertheless retained. This property contrasts with the need for possibly arbitrary stopping criteria when we use iterative methods, which are computationally more expensive. The iterative methods do, however, allow the user to control the signal-to-noise versus resolution tradeoff by stopping the process when the growth of spurious... 

If the quadratic model or one of its modifications are used, the local region presents no difficulties. All methods converge rapidly since they effectively reduce to Newton s method in the local region. In this section we briefly discuss local convergence rates and stopping criteria. 

Different stopping criteria may be used for optimizations. The most straightforward is to require the norm of the gradient to be smaller than some threshold... 

The Stop Criteria page tab opens the window shown in Figure 4.28, on which one or more criteria for ending the batch cycle can be specified. We select a Time variable and set the Stop value to 7200 s (2 h). Other criteria could also be specified, such as a maximum reactor temperature and a desired concentration. 

SpedficPGom VbeBdaoml / Stop Criteria 4 Operation Times CorKkiuous Feeds i/CortioBefs ... 

The Hamiltonian, the adjoint equations and the optimal reflux ratio correlation will be same as those in Equations P.10-P.13 (Diwekar, 1992). However, note that the final conditions (stopping criteria) for the minimum time and the maximum distillate problems are different. The stopping criterion for the minimum time problem is when (D, xq) is achieved, while the stopping criterion for the maximum distillate problem is when t, xo) is achieved. See Coward (1967) for an example problem. 

Stopping criteria. A rule used to terminate the iterative training process for neural network learning or function minimization. To prevent overtraining, the stopping criteria may not be based solely upon the error function for example performance on a validation set is often used to stop training. 

The model was implemented in GAMS 22.4 and solved with CPLEX 10.1, on a Pentium D820 with 2 GHz RAM. The stopping criteria were either the optimal solution or 2 hours of computation. CPLEX s polishing option was used for 30 seconds. 

In noisy systems it is not possible to verify if the gradient of the metamodel matches the gradient of the true function. In this case the stopping criteria is based on the assumption that if in two successive major iterations (at least one contraction must be performed) the optimal solution is the same, we would expect that the gradients also match the true gradients . This is only a heuristic based on the observation that, as the domain reduces, the accuracy of the kriging increases, and also the accuracy of the derivative information extracted from the kriging. 

Selim and Alsultan [5] pointed out that no stopping point was computationally available on clustering analysis based on SA. Searching some stopping criteria for the use of SA cluster analysis deserves further investigation. It is rather time-consuming to proceed the calculation... 

Several stop criteria can be defined in terms of different norms of the residual [166]. The general p-norm of a vector is defined as jjrjjp = When... 

The most important stopping criterion is the satisfaction of the DM in some solution. (Some interactive methods use also algorithmic stopping criteria but we do not go into such details here.) In each iteration, some information about the problem or solutions available is given to the DM and then (s)he is supposed to answer some questions or to give some other kind of information. New solutions are generated based on the information specified. In this way, the DM directs the solution process towards such Pareto optimal solutions that (s)he is interested in and only such solutions are generated. 

Analogously, if peak profiles C are used as an input, iterations start with the calculations of the conjugated spectra SF In any case, the iterative calculations of C and are repeated until reaching the optimum profiles. Three stopping criteria have been defined as follows (i) reaching a convergence... 

The evaluation of autoimmunity potential of drug candidates in animal studies would have value if the results could make an impact on the conduct of clinical trials during drug development, e.g., influence selecting patient population, clinical monitoring, dose selection and/or escalation, stopping criteria, or other safety decisions. 

Stopping criteria (or Iteration stop K relative ccnsequbve differences become less lhan lelob... 

Steepest ascent determination of line of steepest ascent estimation of response along this line, with possible extrapolation [multiple stop criteria]... 

Another drawback of the stochastic approximation method is that it lacks good stopping criteria and often has difficulties with handling even relatively simple linear constraints. 

Stopping criteria is met. Lot size for the first period to span two periods is 45 -I- 60 = 105. We start over from the third period ... 

Repeat the following until one or more stopping criteria are met... 

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