Transformation Groups and Sufficient Statistics
نویسندگان
چکیده
منابع مشابه
Features as Sufficient Statistics
An image is often represented by a set of detected features. We get an enormous compression by representing images in this way. Furthermore, we get a representation which is little affected by small amounts of noise in the image. However, features are typically chosen in an ad hoc manner. \Ve show how a good set of features can be obtained using sufficient statistics. The idea of sparse data re...
متن کاملOn Algorithmic Strong Sufficient Statistics
The notion of a strong sufficient statistic was introduced in [N. Vereshchagin, Algorithmic Minimal Sufficient Statistic Revisited. Proc. 5th Conference on Computability in Europe, CiE 2009, LNCS 5635, pp. 478-487]. In this paper, we give a survey of fine properties of strong sufficient statistics and show that there are strings for which complexity of every strong sufficient statistic is much ...
متن کاملII Sufficient Statistics and Exponential Family
For the parameter estimation problem, we know nothing about the parameter but the observations from such a distribution. Therefore, the observations X1, · · · , Xn is our first hand of information source about the parameter, that is to say, all the available information about the parameter is contained in the observations. However, we know that the estimators we obtained are always functions of...
متن کاملcompactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولSufficient Dimensionality Reduction with Irrelevant Statistics
The problem of unsupervised dimensionality reduction of stochastic variables while pre serving their most relevant characteristics is fundamental for the analysis of complex data. Unfortunately, this problem is ill defined since natural datasets inherently contain al ternative underlying structures. In this paper we address this problem by extending the re cently introduced "Sufficient Dimen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1972
ISSN: 0003-4851
DOI: 10.1214/aoms/1177692636