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Algebraic Geometry and Statistical Learning Theory

Algebraic Geometry and Statistical Learning Theory

Name: Algebraic Geometry and Statistical Learning Theory

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Language: English

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More specifically, the author uses the resolution of singularities theorem from real algebraic geometry to study statistical learning theory when the parameter space is highly singular. The author devotes some space in the book for a review of the needed algebraic geometry. Algebraic geometry and singularity theory provide the mathematical foundation on which a new statistical learning theory is constructed. For example, resolution of singularities is a powerful method which makes the log likelihood function be a common standard form. 17 Dec Although a lot of statistical models and learning machines are singular, their statistical prop- erties have been left unknown. In this book, an algebraic geometrical method is established on which we can construct new statistical theory for singular models. Four main formulas are proved.

Cambridge Core - Pattern Recognition and Machine Learning - Algebraic Geometry and Statistical Learning Theory - by Sumio Watanabe. Sure to be influential, Watanabe's book lays the foundations for the use of algebraic geometry in statistical learning theory. Many models/machines are singular. Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory. Many widely used statistical.

BibTeX. @MISC{Watanabe09anintroduction, author = {Sumio Watanabe}, title = { An Introduction to Algebraic Geometry and Statistical Learning Theory}. 1 Introduction. This article reports the workshop, “Singular learning theory: connecting algebraic geometry and model selection in statistics,” held at American. Can probably get most of the material through open-source papers, though. I'd recommend checking out some of the work on numerical algebraic geometry. Abstract This article introduces the book, “algebraic geometry and statistical learning theory. ” A parametric model in statistics or a learning machine in. Algebraic Geometry and Statistical Learning Theory The table of contents is not available. Tags: Algebraic Geometry · Mathematical Statistics · Statistics.

Algebraic geometry is essential to learning theory. In hierarchical learning statistical models, even when the true distribution is not contained in the parametric. 13 Aug Buy Algebraic Geometry and Statistical Learning Theory from Dymocks online BookStore. Find latest reader reviews and much more at. 1 Aug Algebraic Geometry and Statistical Learning Theory has 1 rating and 0 reviews. Sure to be influential, Watanabe's book lays the foundations for. 22 Apr Algebraic Geometry and Statistical Learning Theory [Sumio Watanabe] Rahva Raamatust. Shipping from 24h.

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