This paper discusses a numerical method for computing the evolution of large interacting system quantum particles. The idea random batch is to replace total interaction each particle with $N-1$ other particles by $p 1$ and independent Planck constant $\hbar$.

In mass spectrometry(MS-) based quantitative proteomics research, the emerging iTRAQ (isobaric tag for relative and absolute quantitation) and TMT (tandem mass tags) techniques have been widely adopted for high throughput protein profiling. In a typical iTRAQ/TMT proteomics study, samples are grouped into batches and each batch is processed by one multiplex experiment, in which the abundances o...

Training deep neural networks with Stochastic Gradient Descent, or its variants, requires careful choice of both learning rate and batch size. While smaller batch sizes generally converge in fewer training epochs, larger batch sizes offer more parallelism and hence better computational efficiency. We have developed a new training approach that, rather than statically choosing a single batch siz...

One of the existing methods to build a confidence interval (c.i.) for the mean response in a single steady state simulation system is the batch means method. This method, compared to the other existing methods (autoregressive representation, regenerative cycles, spectrum analysis, standardized time series), is quite easy to understand and to implement and performs relatively well. However, the ...

Due to slow time variation, variable run length and nonlinearity of sequencing batch reactor (SBR) wastewater treatment batch process, a multivariate statistical MPCA model based on double moving window along the time×variable axis and batch-axis is used for online monitoring the progress of sequencing batch reactor. Moving window MPCA along the time×variable axis can copy seamlessly with varia...

A method is presented for estimating the improvement potential of planning and scheduling in a batch-wise processing company. It involves a characterization of the actual planning and scheduling situation and supports systematic exploration of improvement options and their benefits. Insights gained in two explorative industrial case studies were used to arrive at a robust method that can be app...

the purpose of the current research is investigating the phenylalanine removal by using magnetic nanoparticles (fe3o4) from water samples. the effect of ph, contact time and phenylalanine concentration on phenylalanine adsorption efficiency by magnetite nanoparticles are studied in a batch system. transmission electron microscopy (tem), x-ray diffraction patterns (xrd) and fourier transform inf...