Figure - available from: Information Geometry
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Annulus under different distances—divergences. The shape of the obtained annulus is affected by the applied distance
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An open problem in data science is that of anomaly detection. Anomalies are instances that do not maintain a certain property that is present in the remaining observations in a dataset. Several anomaly detection algorithms exist, since the process itself is ill-posed mainly because the criteria that separates common or expected vectors from anomali...
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There is much interest in the topic of partial information decomposition, both in developing new algorithms and in developing applications. An algorithm, based on standard results from information geometry, was recently proposed by Niu and Quinn (2019). They considered the case of three scalar random variables from an exponential family, including...
Citations
... The concentration of the distribution varies based on a shape parameter, γ. When γ is greater than 1, the density concentrates in the center of the probability simplex, defined as the set of all non-negative vectors whose components sum to one (Frigyik et al., 2010;Legaria et al., 2023). If γ is between 0 and 1, the concentration shifts to the vertices of the simplex (Frigyik et al., 2010). ...
While numerous studies have investigated demand management policies as a means of mitigating the impacts of climate change and population growth, little attention has been given to the interaction of spatial population patterns and water institutions that affect water shortages. In this article, we develop a methodology to evaluate how population location under alternative water institutions and climate scenarios impacts water demands, shortages, and derived economic values. We apply this methodology to the South Platte River Basin (SPRB) in Northeastern Colorado under three scenarios with ∼1,800 simulations. Results suggest that while water rights institutions have a negligible impact on total volumetric shortages relative to climate change, they have substantial distributional and economic implications. Results also suggest that continuous population growth in upstream cities yields the lowest water shortages if per capita use decreases with urbanization. However, if we assume that per capita demands do not decrease with population density, an equal distribution of population to upstream and downstream regions yields the lowest water shortage and highest economic value. These findings indicate the need that planning efforts must account for return flows and development patterns throughout a watershed in order to reduce water shortages and promote economic prosperity.
