scholarly journals Comments on: Recent advances in directional statistics

Test ◽  
2021 ◽  
Vol 30 (1) ◽  
pp. 71-75
Author(s):  
Stephan F. Huckemann
Keyword(s):  
Statistical Analysis ◽  
Lie Algebras ◽  
Critical Points ◽  
Homogeneous Spaces ◽  
Directional Data ◽  
Directional Statistics ◽  
Research Areas ◽  
Recent Advances

AbstractInspired by this felicitous, highly concentrated and rather exhaustive review of a rapidly growing field, many larger research areas that warrant further investigation come to mind. In this comment, three areas are selected: fully satisfactory PCA on tori and polyspheres, harnessing linearity through Lie algebras underlying homogeneous spaces such as those for directional data, and statistical analysis based on critical points (e.g. mode and antimodes) of Fréchet $$L^p$$ L p -functions.

Estimation of response slopes in respiratory control using directional statistics

1978 ◽  
Vol 45 (5) ◽  
pp. 823-829 ◽  
Author(s):  
J. A. Daubenspeck ◽  
R. D. Ogden
Keyword(s):  
Statistical Analysis ◽  
Physiological Response ◽  
Respiratory Control ◽  
Directional Data ◽  
Statistical Techniques ◽  
Directional Statistics ◽  
Analysis Techniques ◽  
Straight Line ◽  
Response Slope ◽  
Direct Measurements

The ventilatory sensitivity to alveolar PCO2 and slope of the straight line relating VE to VT are two examples of response slopes of interest in respiratory control. Statistical techniques have not been available to analyze repeated direct estimations of these slopes by paired consideration of initial and final responses to a stimulus. Rather, existing statistical techniques sacrifice much information by describing the response slope as that of the line which, in some sense, best fits the unpaired responses. We have adapted techniques established for the statistical analysis of directional data to analyze direct measurements of these physiological response slopes and have found that the application of these directional techniques can result in better estimation of the ventilatory sensitivity to CO2, for example, than is provided using unpaired analysis techniques.

scholarly journals Directional Statistics in Solar Potential of Rooftops at Three Different Neighborhoods of a Medium Size City

Proceedings ◽  
2018 ◽  
Vol 2 (20) ◽  
pp. 1275 ◽  
Author(s):  
María-Eugenia Polo ◽  
Mar Pozo ◽  
Elia Quirós
Keyword(s):  
Climate Change ◽  
Statistical Analysis ◽  
Solar Energy ◽  
Urban Areas ◽  
Urban Morphology ◽  
Directional Data ◽  
Medium Size ◽  
Directional Statistics ◽  
Orientation Data

The utilization of solar energy is one of the best effective methods to combat the climate change. The estimation of solar potential in urban areas can vary depending on the urban morphology. This paper performs a directional statistical analysis of the distribution of the monthly solar potential of rooftops in Cáceres city, related to the orientation of the rooftops in different neighborhoods. The orientation values of the roofs will be treated as a directional data and the radiation values as a linear data. The circular graphics representing the orientation data is a suitable representation of the distribution of the buildings being related with the urban framework.

Harmonicity of vector fields on a class of Lorentzian solvable Lie groups

2018 ◽  
Vol 18 (3) ◽  
pp. 337-344 ◽  
Author(s):  
Ju Tan ◽  
Shaoqiang Deng
Keyword(s):  
Vector Field ◽  
Lie Groups ◽  
Lie Algebras ◽  
Critical Points ◽  
Vector Fields ◽  
Energy Functional ◽  
Smooth Vector ◽  
Solvable Lie Groups ◽  
Invariant Vector ◽  
Invariant Vector Fields

AbstractIn this paper, we consider a special class of solvable Lie groups such that for any x, y in their Lie algebras, [x, y] is a linear combination of x and y. We investigate the harmonicity properties of invariant vector fields of this kind of Lorentzian Lie groups. It is shown that any invariant unit time-like vector field is spatially harmonic. Moreover, we determine all vector fields which are critical points of the energy functional restricted to the space of smooth vector fields.

scholarly journals Recent Advances in General Game Playing

2015 ◽  
Vol 2015 ◽  
pp. 1-22 ◽  
Author(s):  
Maciej Świechowski ◽  
HyunSoo Park ◽  
Jacek Mańdziuk ◽  
Kyung-Joong Kim
Keyword(s):  
Video Games ◽  
Game Playing ◽  
General Game Playing ◽  
Monte Carlo Tree Search ◽  
Know How ◽  
Research Areas ◽  
Recent Advances ◽  
Design Systems ◽  
General Game ◽  
Research Domains

The goal of General Game Playing (GGP) has been to develop computer programs that can perform well across various game types. It is natural for human game players to transfer knowledge from games they already know how to play to other similar games. GGP research attempts to design systems that work well across different game types, including unknown new games. In this review, we present a survey of recent advances (2011 to 2014) in GGP for both traditional games and video games. It is notable that research on GGP has been expanding into modern video games. Monte-Carlo Tree Search and its enhancements have been the most influential techniques in GGP for both research domains. Additionally, international competitions have become important events that promote and increase GGP research. Recently, a video GGP competition was launched. In this survey, we review recent progress in the most challenging research areas of Artificial Intelligence (AI) related to universal game playing.

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