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Titlebook: Computational Information Geometry; For Image and Signal Frank Nielsen,Frank Critchley,Christopher T. J. Do Book 2017 Springer Internationa

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楼主: Harrison
发表于 2025-3-26 22:41:45 | 显示全部楼层
Information Geometry and Its Applications: , Overview,relevant theory and key references (Sect. .), and finish with a number of applications of the theory (Sect. .). We treat ‘Information Geometry’ as an evolutionary term, deliberately not attempting a comprehensive definition. Rather, we illustrate how both the geometries used and application areas are rapidly developing.
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Towards the Geometry of Model Sensitivity: An Illustration,of the model. In particular it is an example of what we call computational information geometry. The embedding of simple models in much larger information geometric spaces is shown to illuminate these critically important issues.
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Stochastic Networks and Reversibility,del is then seen to involve an informative rotation, often embodying extra-data considerations. We also look at the way that translation of models generates a form of bias-variance trade-off. Overall, our approach is a global extension of pioneering local work by Copas and Eguchi which, we note, was also geometrically inspired.
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Classical Neutron Transport Theorysed to reveal the groupings among subsets of samples in an easily comprehended graphic in 3-space. The samples here came from the papermaking industry but such a reduction of large frequently noisy spatial data sets is useful in a range of materials and contexts at all scales.
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On the Geometric Interplay Between Goodness-of-Fit and Estimation: Illustrative Examples,del is then seen to involve an informative rotation, often embodying extra-data considerations. We also look at the way that translation of models generates a form of bias-variance trade-off. Overall, our approach is a global extension of pioneering local work by Copas and Eguchi which, we note, was also geometrically inspired.
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https://doi.org/10.1007/978-3-319-47058-0Brain-computer Interactions; Computational Anatomy; Coordinate-free Operations; Diffusion Tensor Images
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978-3-319-83651-5Springer International Publishing AG 2017
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