By Rachkovskii D.A., Slipchenko S.V.
Difficulties (inherent in compound hierarchical representations) of holding details at the constitution of coded facts and techniques of fixing them via "binding" of data substructures are mentioned. a kind of allotted representations is taken into account within which information are coded by means of multidimensional binary sparse vectors. the restrictions imposed on a binding strategy are formulated and its implementation is equipped. a few examples of illustration of dependent facts are thought of.
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Additional resources for A binding Procedure for Distributed Binary Data Representations
3(p/n) can be considered extreme, and hence they wave a warning flag. 30. Six countries produce COVRATIOs that lie outside these bounds: Canada (6), Chile (7), Southern Rhodesia (37), United States (a), Zambia (a),and Libya (49). Of these six countries, four have been pinpointed by previous diagnostics, the two new candidates being Canada (6) and Southern Rhodesia (37). We recall that extreme values can occur for COVRATIO if the deletion of the ith observation produces a large change in the estimated regression variance s2 or in the elements of (XTX)-'or in both.
This diagnostic, however, has two weaknesses. First, it ignores the off-diagonal elements of the covariance matrix and second, emphasis on the c,: ignores s2. 38) that are not near unity, for these observations are possibly influential and warrant further investigation. In order to provide a rough guide to the magnitude of such variations from unity, we consider the two extreme cases le:1>2 with hi at its minimum ( 1 /n) and hi2 2 p / n with e: = 0. In the first case we get 1 1 COVRATIO= l+- Further approximation leads to where n - p has been replaced by n for simplicity.
28). Some additional details are contained in Appendix 2A. The studentized residuals thus provide a better way to examine the information in the residuals, both because they have equal variances and because they are easily related to the r-distribution in many situations. However, this does not tell the whole story, since some of the most influential data points can have relatively small studentized residuals (and very small ei). e. 1 THEORETICAL FOUNDATIONS 21 small leil and vice versa. Hence row deletion and the analysis of residuals need to be treated together and on an equal footing.
A binding Procedure for Distributed Binary Data Representations by Rachkovskii D.A., Slipchenko S.V.