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in title, tags, annotations or urlThe Illuminating Geometry of Viruses | Quanta Magazine - 0 views
Physicists Discover Geometry Underlying Particle Physics | Quanta Magazine - 0 views
The Fight to Fix Symplectic Geometry | Quanta Magazine - 0 views
The Fight to Fix Symplectic Geometry | Quanta Magazine - 0 views
Two Mathematicians Crack Age-Old Geometry Problem in Quarantine - 0 views
Questionnaire data analysis using information geometry | Scientific Reports - 0 views
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The analysis of questionnaires often involves representing the high-dimensional responses in a low-dimensional space (e.g., PCA, MCA, or t-SNE). However questionnaire data often contains categorical variables and common statistical model assumptions rarely hold. Here we present a non-parametric approach based on Fisher Information which obtains a low-dimensional embedding of a statistical manifold (SM). The SM has deep connections with parametric statistical models and the theory of phase transitions in statistical physics. Firstly we simulate questionnaire responses based on a non-linear SM and validate our method compared to other methods. Secondly we apply our method to two empirical datasets containing largely categorical variables: an anthropological survey of rice farmers in Bali and a cohort study on health inequality in Amsterdam. Compare to previous analysis and known anthropological knowledge we conclude that our method best discriminates between different behaviours, paving the way to dimension reduction as effective as for continuous data.
Welcome to the new Meghalayan age - here's how it fits with the rest of Earth's geologic history - 0 views
Tinkertoy Models Produce New Geometric Insights | Quanta Magazine - 0 views
Mathematicians Explore Mirror Link Between Two Geometric Worlds | Quanta Magazine - 0 views
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