Determination of Ensemble-Average Pairwise Root Mean-Square Deviation from Experimental B-Factors

Distributed average consensus with least-mean-square deviation

We consider a stochastic model for distributed average consensus, which arises in applications such as load balancing for parallel processors, distributed coordination of mobile autonomous agents, and network synchronization. In this model, each node updates its local variable with a weighted average of its neighbors’ values, and each new value is corrupted by an additive noise with zero mean. ...

Determination of Exponential Smoothing Constant to Minimize Mean Square Error and Mean Absolute Deviation

Exponential smoothing technique is one of the most important quantitative techniques in forecasting. The accuracy of forecasting of this technique depends on exponential smoothing constant. Choosing an appropriate value of exponential smoothing constant is very crucial to minimize the error in forecasting. This paper addresses the selection of optimal value of exponential smoothing constant to ...

On Weighted Pcm and Mean Square Deviation

Experimental determination of optimal root-mean-square deviations of macromolecular bond lengths and angles from their restrained ideal values.

A number of inconsistencies are apparent in the recent research paper by Jaskolski et al. [(2007), Acta Cryst. D63, 611-620] concerning their recommendations for the values of the magnitude and resolution-dependence of the root-mean-square deviations (RMSDs) of bond lengths and angles from their restrained ideal values in macromolecular refinement, as well as their suggestions for the use of va...

Root Mean Square Deviation Probability Analysis of Molecular Dynamics Trajectories on DNA

The comparison and detection of the commonalities and differences in multiple structural ensembles is an important step in the use of molecular simulations to gain insight into the conformation and dynamics of complex biomacromolecules. While the average structure is often employed as the representative of an ensemble of structures in such comparisons, dynamic molecular systems with multiple co...