Local versus global

Differences in calibration graph results were found in amount and amount interval estimations in the use of three common data sets of the chemical pesticide fenvalerate by the individual methods of three researchers. Differences in the methods included constant variance treatments by weighting or transforming response values. Linear single and multiple curve functions and cubic spline functions were used to fit the data. Amount differences were found between three hand plotted methods and between the hand plotted and three different statistical regression line methods. Significant differences in the calculated amount interval estimates were found with the cubic spline function due to its limited scope of inference. Smaller differences were produced by the use of local versus global variance estimators and a simple Bonferroni adjustment. 

Our analysis of multiple, field-driven qubits that are coupled to partly correlated or independent baths or undergo locally varying random dephasing allows one to come up with an optimal choice between global and local control, based on the observation that the maximal suppression of decoherence is not necessarily the best one. Instead, we demand an optimal phase relation between different but synchronous local modulations of each particle. The merits of local versus global modulations have been shown to be essentially twofold ... 

Local versus global character of active site vibrations... 

Klein E. M. and Langmuir C. H. (1989) Local versus global variations in ocean ridge basalt composition a reply. J. Geophys. Res. 94, 4241-4252. 

Local versus global maxima and consideration of number of experiments... 

Some can be excluded in order to limit the search space (e.g. local versus global) and the magnitude of GPT errors generated in evaluating the LPs, as explained in Section 2.2. 

Local versus Global SAR Models for Toxicity Prediction 571... 

LOCAL VERSUS GLOBAL SAR MODELS FOR TOXICITY PREDICTION... 

Local versus global diversity of microorganisms cryptic diversity of ciliated protozoa. Oikos SO, 220-225. 

Malcolm, M. A. Simpson, R. B. 1975. Local Versus Global Strategies for Adaptive Quadrature. CM Transactions on Mathematical Software, 1(2) 129-146. 

Holtslag, A. A. M. and Boville, B. A. (1993). Local versus nonlocal boundary-layer diffusion in a global climate model, /. Clim. 6,1825-1842. 

A second reason is that the use of local variance versus global variance can result in markedly different bands. The separate calculations of variance at levels throughout the range of standards produces a wider confidence interval at lower values as seen in Kurtz method. If a common variance is used as the variance estimate then a lower confidence interval is calculated at each point as is probably the case in Wegscheider s method. 

Balaban, A.T. (1994a). Local vs. Global (i.e. Atomic versus Molecular) Numerical Modeling of Molecular Graphs. J.Chem.Inf.Comput.ScL, 34,398-402. 

Humblot V, Ortega Lorenzo M, Baddeley CJ, Haq S, Raval R (2004) Local and global chirality at surfaces succinic acid versus tartaric acid on Cu(l 10). J Am Chem Soc 126 6460... 

There are a number of important issues and possible trade-offs to be discussed in this section that, in principle, do not stand against each other but, in reality, often do, such as the balance between the interpretability versus robustness or predictability of the derived model, that is, transparent versus opaque models, white versus black box models, a well as whether to derive local versus more global models for a particular target in question. For a recent review of statistical methods, see Ref. [80]. 

Figure 1,8, for example, plots the probability that a cell has value 1 at time t4-l - labeled Pt+i - versus the probability that a cell had value 1 at time t -labeled Pt - for a particular four dimensional cellular automaton rule. The rule itself is unimportant, as there are many rules that display essentially the same kind of behavior. The point is that while the behavior of this rule is locally featureless - its space-time diagram would look like noise on a television screen - the global density of cells with value 1 jumps around in quasi-periodic fashion. We emphasize that this quasi-periodicity is a global property of the system, and that no evidence for this kind of behavior is apparent in the local dynamics. 

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