منابع مشابه
Tropical geometry of statistical models.
This article presents a unified mathematical framework for inference in graphical models, building on the observation that graphical models are algebraic varieties. From this geometric viewpoint, observations generated from a model are coordinates of a point in the variety, and the sum-product algorithm is an efficient tool for evaluating specific coordinates. Here, we address the question of h...
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Tropical geometry still is a rather young field of mathematics which nevertheless over the past couple of years has proved to be rather powerful for tackling questions in enumerative geometry (see e.g. [Mik05], [GM08], [IKS04]). It also has been used to provide alternative algorithmic means to eliminate variables (see [StY08]). People from applied mathematics such as optimisation or control the...
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For semiparametric statistical estimation, when an estimating function exists, it often provides robust and e cient estimation of the parameter of interest against nuisance parameters of in nite dimensions. The present paper elucidates the estimating function method by solving the following problems. 1)When does an estimating function exist and what is the set of all the estimating functions? 2...
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There are many examples in algebraic geometry in which complicated geometric or algebraic problems can be transformed into purely combinatorial problems. The most prominent example is probably given by toric varieties — a certain class of varieties that can be described purely by combinatorial data, e.g. by giving a convex polytope in an integral lattice. As a consequence, most questions about ...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2004
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.0406010101