Higher Order Correlation Coefficients

Higher Order Correlation coefficients

Higher-order virial coefficients of water models.

We use the Mayer sampling method, with both direct and overlap sampling, to calculate and compare classical virial coefficients up to B6 for various water models (SPC, SPC/E, MSPC/E, TIP3P, and TIP4P). The precision of the computed values ranges from 0.1% for B2 to an average of 25% for B6. When expressed in a form scaled by the critical properties, the values of the coefficients for SPC water ...

Higher-order Cn dispersion coefficients for hydrogen

The complete set of second-, third-, and fourth-order van der Waals coefficients Cn up to n=32 for the Hs1sd-Hs1sd dimer have been determined. They are computed by diagonalizing the nonrelativistic Hamiltonian for hydrogen to obtain a set of pseudostates that are used to evaluate the appropriate sum rules. A study of the convergence pattern for nø16 indicates that all the Cnø16 coefficients are...

Higher-Order Risk Attitudes toward Correlation

Higher-order risk attitudes other than risk aversion (e.g., prudence and temperance) play vital roles both in theoretical and empirical work. While the literature has mainly focused on how they entail a preference for combining “good” outcomes with “bad” outcomes, We consider here an alternative approach which relates higher-order risk attitudes to the sign of correlation. The theoretical resul...

Higher-Order Correlation Clustering for Image Segmentation

For many of the state-of-the-art computer vision algorithms, image segmentation is an important preprocessing step. As such, several image segmentation algorithms have been proposed, however, with certain reservation due to high computational load and many hand-tuning parameters. Correlation clustering, a graphpartitioning algorithm often used in natural language processing and document cluster...