Introduction: Proton therapy is a type of radiation treatment that it uses protons to treat cancer. Because of the protons’ unique ability to distribute the radiation dose more directly to the tumor, it minimizes the damage to nearby healthy tissues. The rate of energy loss by the ion in the target is called stopping power. The total stopping power is sum nuclear and electroni...

Parallel simulation methods can be used to reduce the execution time of the simulations of complex systems. In this context, we apply the method of the replications in parallel in order to reduce the execution time of the models. The particular technique consists of starting a fixed number of replications that are maintained in execution until a stop criterion is achieved. Different stopping cr...

Sequential optimality conditions provide adequate theoretical tools to justify stopping criteria for nonlinear programming solvers. Here, nonsmooth approximate gradient projection and complementary approximate Karush-Kuhn-Tucker conditions are presented. These sequential optimality conditions are satisfied by local minimizers of optimization problems independently of the fulfillment of constrai...

We extend the Longstaff-Schwartz algorithm for approximately solving optimal stopping problems on high-dimensional state spaces. We reformulate the optimal stopping problem for Markov processes in discrete time as a generalized statistical learning problem. Within this setup we apply deviation inequalities for suprema of empirical processes to derive consistency criteria, and to estimate the co...

The log-likelihood ratio test on a single check node within the LDPC decoder is monitored to develop a stopping criterion for the decoder that is better than previous stopping criteria, without sacrificing the BER performance. Simulation results are presented for the transmission of the rate 1 2 (288, 576) WiMAX 802.16e LDPC code digits using binary phase shift keying (BPSK) over an AWGN channel.

canola genotypes reaction to stopping irrigation was surveyed. this experiment was carried out as a split plot randomized block design whit three replications in the safiabad argicultural research center for two years. main plot was considered of different levels of stopping  irrigation (stopping irrigation at the ending flowering, poding, 10%  and 30% ripening of pods in main stem ) and sub pl...

Weak solutions for nonlinear wave equations involving the p(x)Laplacian, for p : Ω → (1,∞) are constructed as appropriate limits of solutions of an implicit finite element discretization of the problem. A simple fixed-point scheme with appropriate stopping criteria is proposed to conclude convergence for all discretization, regularization, perturbation, and stopping parameters tending to zero. ...

When using graphical models for decision making, the presence of unobserved variables may hinder our ability to reach the correct decision. A fundamental question here is whether or not one is ready to make a decision (stopping criteria), and if not, what additional observations should be made in order to better prepare for a decision (selection criteria). A recently introduced notion, the Same...

Usually the primary goal for the application of optimization algorithms is convergence to the global optimum, and the secondary goal is to use the least computational effort. By application of different stopping criteria the achievement of both objectives is influenced: If an optimization run is terminated too early, convergence may not be reached, but on the other hand computational resources ...

Active learning has shown to reduce the number of experiments needed to obtain high-confidence drug-target predictions. However, in order to actually save experiments using active learning, it is crucial to have a method to evaluate the quality of the current prediction and decide when to stop the experimentation process. Only by applying reliable stoping criteria to active learning, time and c...