A geometric framework for outlier detection in high‐dimensional data
Sign Up to like & getrecommendations! Published in 2022 at "Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery"
DOI: 10.1002/widm.1491
Abstract: Outlier or anomaly detection is an important task in data analysis. We discuss the problem from a geometrical perspective and provide a framework which exploits the metric structure of a data set. Our approach rests… read more here.
Keywords: geometric framework; structure; detection; dimensional data ... See more keywords
A unified geometric framework for boundary charges and dressings: Non-Abelian theory and matter
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.02.020
Abstract: Abstract Boundaries in gauge theories are a delicate issue. Arbitrary boundary choices enter the calculation of charges via Noether's second theorem, obstructing the assignment of unambiguous physical charges to local gauge symmetries. Replacing the arbitrary… read more here.
Keywords: geometric framework; theory; field; matter ... See more keywords
A continuous statistical-geometric framework for normative and impaired gaits
Sign Up to like & getrecommendations! Published in 2022 at "Journal of the Royal Society Interface"
DOI: 10.1098/rsif.2022.0402
Abstract: A quantitative analysis of human gait patterns in space–time provides an opportunity to observe variability within and across individuals of varying motor capabilities. Impaired gait significantly affects independence and quality of life, and thus a… read more here.
Keywords: geometric framework; analysis; statistical geometric; gait ... See more keywords
A Unified Geometric Framework for Boundary Charges and Particle Dressings
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DOI: 10.1103/physrevd.98.025013
Abstract: We provide a unified geometrical origin for both boundary charges and particle dressings, with a focus on electrodynamics. The method is furthermore generalizable to QCD and gravity, and can be extended to the non-perturbative domain. read more here.
Keywords: framework boundary; geometric framework; boundary charges; particle dressings ... See more keywords