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Despite many advances, however, the so-called strong correlation problem, where the chemist's molecular orbital picture breaks down, remains quite open, particularly for large molecules and solids.
Quantum Chemistry is a successful field: the weak correlation problem has been solved; we can get "the right answer for the right reason" at reasonably low polynomial computational cost instead of the combinatorial expense of brute force approaches.
However, for a simpler correlation problem like the density of a diesel fuel, which is approximated well by the sum of the contributions of individual components, the predictive equations produced by multiple linear regression and neural network methods gave similar results.
One example is the correlation problem.
Several tools have been developed to solve the classical correlation problem.
The serial correlation problem may be due to the insufficient number of lags in the VECM.
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While at Richfield, he became acquainted with many correlation problems presented by such formations as the Monterey shales and further realized the importance of correlation by foraminifera.
No attempts had been made in this country to employ Oppel's methods of correlation until the early thirties when Ralph Reed, chief geologist for the Texas Oil Company, suggested them as one of several possible solutions for the correlation problems of the Monterey Formation.
The results show that the predictive and classification error of the elastic net model are statistically comparable to benchmarks of the best pattern recognition tools whereas it overcomes correlation problems and performs variable selection at the same time, resulting in a simpler and more interpretable model.
On the other hand the subset size should not be chosen too small, to avoid correlation problems due to the non-uniqueness of the subset information content.
In Kitaoka and Nakagawa [24], it was shown that a smoothing approach can help in spectral subtraction to overcome the speech/noise correlation problems.
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