Optimization, statistical

KK Koretke, Z Luthey-Schulten, PG Wolynes. Self-consistently optimized statistical mechanical energy functions for sequence structure alignment. Protein Sci 5 1043-1059, 1996. 

The development of on-line sensors is a very costly and time-consuming process. Therefore, if one has available a dynamic model of the reactor which predicts the various polymer (or latex) properties of interest, then this can be used to guide one in the selection and development of sensors. Ideas from the optimal statistical design of experiments together with the present model expressed in the form of a Kalman filter have been successfully used (58) to select those combinations of existing or hypothetical sensors which would maximize the information that could be obtained on the states of the polymerization system. Both the type of sensors and the precisions necessary for them are easily investigated in this way. By changing the choice of the measurement matrix and... 

DeGroot MH. 1970. Optimal statistical decisions. New York McGraw-Hill. 

Crick, F. H. C. (1970). Central dogma of molecular biology. Nature, 227, 561-563. DeGroot, M. H. (1970). Optimal Statistical Decisions. McGraw-Hill, New York. 

Schwarz, K. (1974). Optimized statistical exchange parameters a for atoms with higher Z. Theoret. Chim. Acta 34, 225-31. 

A balance of properties of the product can be obtained by formulations based on natural oils to which sulf(on)ated oils are added. The mixtures can then be optimized statistically with respect to the mechanical properties (7). 

Hiese values are plotted on the cumulative distribution (Fig. 12), from this graph we could read off the mean (jx 75 /tm) and standard deviation (o- = 75 - 74 = 1 pm) however, with real data that contains error this is not an optimal statistical method. A better statistical method would be to linearize the plot of the cumulative distribution F x) shown in Figure 13. The plot could be linearized by scaling the cumulative probability axis so that the cumulative distribution would be linear when plotted versus the... 

Haavardsson, N. F., Huseby, A. B. Holden, L. 2008, A Parametric Class of Production Strategies for Multi-Reservoir Production Optimization. Statistical Research Report, University of Oslo, 8. 

Although this approach is widespread, it is unsatisfactory for a number of reasons. For one, recovery rates tend not to sufficiently account for early enrichments in sets of retrieved compounds. This deficiency can be partially eliminated using cumulative recall curves, which plot the fraction of actives against the number of compounds retrieved [58, 150]. These curves are similar to the receiver operating characteristic (ROC) curves that have become a popular in compound retrieval studies. Truchon and Bayly [151] have carried out a comprehensive analysis ROC curves and related metrics and have developed an optimal, statistically more robust index, the BEDROC (Boltzmann-enhanced discrimination of ROC) metric. 

J.M. Posma, I. Garcia-Perez, M. De lorio, J.C. Lindon, P. Elliott, E. Holmes, et al., Snbset optimization by reference matching (STORM) an optimized statistical approach for recovery of metabolic biomarker structural information from H NMR spectra of biofluids. Anal. Chem. 84 (2012) 10694. 

Study Design Considerations Optimizing Statistical Power... 

FIGURE 10.7 Model optimization statistics for PCR calibration of (a) moisture, (b) oil, (c) protein, and (d) starch. Solid lines indicated RMSEC, dashed line represents RMSECV, and dotted line represents RMSEP for the validation set. 

DeGroot 1970] M.H. DeGroot. Optimal Statistical Decisions, New York, McGraw-Hill, 1970. 

Table 4.4 Logic synthesis and optimization statistics for the dataflow style architecture...

As the optimization statistics in Table 4.5 show, this has resulted in all three Case architectures producing the same circuit. This actually occupies approximately half the area and has half the propagation delay of the optimized IF ELSE architecture. 

Table 5.1 Logic synthesis and optimization statistics for four synchronous dataflow-style architectures with and without external initialization signals. Compares If and Wait versions...

Table 5.2 Logic s)mthesis and optimization statistics for the two asynchronous behavioural style architectures...

The optimization statistics in Table 5.1 for all three architectures also confirm that they are identical. 

The optimization statistics in Table 5.3 show that the JK flip flop has had almost two-thirds of its logic stripped out whereas the transistor coimt for the D-type has only fallen by one-fifth. This demonstrates the highly circuit-dependent nature of the optimizer s success and that an efficient VHDL description does not guarantee that the synthesizer will produce a good circuit. 

Table 5.4 Logic synthesis and optimization statistics for the structural style architectures. Manually instantiated D-type and regular/irregular generated JK-type structures. All components are the optimized versions...

The optimization statistics for the two processes are shown in Table 5.6. As with other examples, the majority of the unnecessary logic is stripped out with the lowest level of effort. In fact, the size of the CARRY process logic is such that further optimization achieves no improvement in circuit characteristics. 

Table 5.6 Logic optimization statistics for the process blocks COUNTING and CARRY in the architecture BEHAVIOUR of the up-down counter...

Table 6.1 Logic s)mthesis and optimization statistics for the integer adder and adder/subtractor architectures. Timing constraints were met in each case. No final area constraint was applied...

Table 6.3 Logic s3mthesis and performance optimization statistics for the carry-lookahead arithmetic architecture s components. Where timing constraints were not met (despite low, medium and high levels of effort) the statistics are shown in bold...

Table 6.6 Logic synthesis and area optimization statistics for the Booth 2 x2 multiplier architecture. Resources were not shared and performance optimization did not reduce the delay...

Table 7JZ Logic optimization statistics for the processes in the Decoder component (DECODER BEHAVIOUR) and Enabler block (SEQUBMCE-BEHAVIOUR)...

The random sequence generator has particularly demonstrated die use of the procedure as bodi a concurrent and sequential statement. The function itself is quite simple. A loadable seed value has enabled the use of three-state buffers plus the effect of a bidirectional signal to be demonstrated. The optimization statistics clearly hig ighted the effect that these buffers have on the performance of the circuit. 

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