Intrinsic formula for Kuranishi's {$\bar \partial \sp{\varphi }\sbb$}

Informatiksysteme im SBB-Güterverkehr

Partial Intrinsic Bayes Factor

We have developed a new model selection criteria, the partial intrinsic Bayes factor, which is designed for cases when we select a model among a small number of candidate models. For example, we can choose only a few candidate models after exploring scatter plots. Based on this motivation, the partial intrinsic Bayes factor is developed. By simulation study, we showed that PIBF performs better ...

Bar recursion over finite partial functions

We introduce a new, demand-driven variant of Spector’s bar recursion in the spirit of the BerardiBezem-Coquand functional of [4]. The recursion takes place over finite partial functions u, where the control parameter φ, used in Spector’s bar recursion to terminate the computation at sequences s satisfying φ(ŝ) < |s|, now acts as a guide for deciding exactly where to make bar recursive updates, ...

Intrinsic Taylor formula for Kolmogorov-type homogeneous groups

We consider a class of ultra-parabolic Kolmogorov-type operators satisfying the Hörmander’s condition. We prove an intrinsic Taylor formula with global and local bounds for the remainder given in terms of the norm in the homogeneous Lie group naturally associated to the differential operator.

Characterization of Partial Intrinsic Symmetries

We present a mathematical framework and algorithm for characterizing and extracting partial intrinsic symmetries of surfaces, which is a fundamental building block for many modern geometry processing algorithms. Our goal is to compute all “significant” symmetry information of the shape, which we define as r-symmetries, i.e., we report all isometric self-maps within subsets of the shape that con...