By Eva Armengol, Enric Plaza (auth.), Jean-Paul Haton, Mark Keane, Michel Manago (eds.)
This booklet provides a range of revised refereed papers taken from the contributions to the second one eu Workshop on Case-Based Reasoning, EWCBR-94, held on the Abbaye de Royaumont close to Paris in November 1994. The 22 papers integrated have been selected from a complete of 60 submissions. the $64000 evolution by way of skilled synthetic intelligence over the last few years has been primarily stimulated by way of case-based reasoning, relatively by way of the world of knowledge-based choice aid. This ebook files the growth completed in CBR tools and instruments throughout the very fresh prior. It additionally outlines the titanic good fortune completed within the functions area, specifically within the fields of structure and computer-aided layout, job making plans, chemical synthesis, upkeep and prognosis, and law.
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Additional info for Advances in Case-Based Reasoning: Second European Workshop, EWCBR-94 Chantilly, France, November 7–10, 1994 Selected Papers
References 1. : Statistics of shape via principal component analysis on Lie groups. In: Proceedings of the Conference on Computer Vision and Pattern Recognition (CVPR’03), Los Alamitos, CA (2003) 95–101 2. : Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging 23 (2004) 995–1005 3. : Statistical Variability in Nonlinear Spaces: Application to Shape Analysis and DT-MRI. PhD thesis, UNC at Chapel Hill (2004) 4. : Statistical surface-based morphometry using a non-parametric approach.
The boundary study, however, ﬁnds a signiﬁcant diﬀerence between DZ and NR, but fails to identify the diﬀerence between DS and DZ. We also performed local tests, to identify speciﬁc medial atoms with with strong diﬀerences. A multivariate test was conducted using our procedure on the 6 components of M(1) for each atom, and the results were corrected for multiple tests using the minimum p-value distribution across the shape, as described by Pantazis et al. . The results are shown in Fig 4. B.
The extra 2N term keeps the values ﬁnite when the p-value is 1, and is negligible as N goes to inﬁnity. Because the distribution of p-values for each partial test is uniform by construction, the marginal distribution of the Ujk values over k for a single j is standard normal. Arranging these vectors into a single N × M matrix U , we can ˆU = 1 U T U , and use the Mahalanobis statisestimate the covariance matrix Σ N −1 ˆ U k . In the event that the data really is linear and normally tic: T k = (U k )T Σ U Hypothesis Testing with Nonlinear Shape Models 21 ˆU matrix converges to the true covariance as the sample size goes distributed, Σ to inﬁnity , making it asymptotically equivalent to Hotelling’s T 2 test.
Advances in Case-Based Reasoning: Second European Workshop, EWCBR-94 Chantilly, France, November 7–10, 1994 Selected Papers by Eva Armengol, Enric Plaza (auth.), Jean-Paul Haton, Mark Keane, Michel Manago (eds.)