Quantum Motion on Shape Space and the Gauge Dependent Emergence of Dynamics and Probability in Absolute Space and Time
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02362-9
Abstract: Relational formulations of classical mechanics and gravity have been developed by Julian Barbour and collaborators. Crucial to these formulations is the notion of shape space. We indicate here that the metric structure of shape space… read more here.
Keywords: motion; space; shape space; absolute space ... See more keywords
A Kernel Regression Procedure in the 3D Shape Space with an Application to Online Sales of Children’s Wear
Sign Up to like & getrecommendations! Published in 2019 at "Statistical Science"
DOI: 10.1214/18-sts675
Abstract: This paper is focused on kernel regression when the response variable is the shape of a 3D object represented by a configuration matrix of landmarks. Regression methods on this shape space are not trivial because… read more here.
Keywords: regression; application online; kernel regression; shape space ... See more keywords