Gaussian Hilbert spaces
نویسنده
چکیده
منابع مشابه
Reproducing kernel Hilbert spaces of Gaussian priors
We review definitions and properties of reproducing kernel Hilbert spaces attached to Gaussian variables and processes, with a view to applications in nonparametric Bayesian statistics using Gaussian priors. The rate of contraction of posterior distributions based on Gaussian priors can be described through a concentration function that is expressed in the reproducing Hilbert space. Absolute co...
متن کاملQuantum Gaussian Processes
This paper studies construction of quantum Gaussian processes based on ordinary Gaussian processes through their reproducing kernel Hilbert spaces, and investigate the relationship between the stochastic properties of the quantum Gaussian processes and the base Gaussian processes. In particular, we construct quantum Brownian bridges and quantum Ornstein-Uhlenbeck processes. Non-commutative stoc...
متن کاملA Non-commutative Analogue of Gaussian Hilbert Spaces
The paper gives analogues of some starting results in the theory of Gaussian Hilbert Spaces for semicircular distributed random variables. The transition from the commutative to the free frame is done considering matrices of increasing dimension and utilizing the Amitsur-Levitzki Theorem.
متن کاملOn Several Properties of the Reproducing Kernel Hilbert Spaces Induced by Gaussian Kernels in Connection with Learning Theory
We give several properties of the reproducing kernel Hilbert spaces induced by the Gaussian kernel and their implications for recent results in the complexity of the regularized least square algorithm in learning theory.
متن کاملm at h . FA ] 1 8 Fe b 19 96 A Gaussian Average Property of Banach Spaces
In this paper we investigate a Gaussian average property of Banach spaces. This property is weaker than the Gordon Lewis property but closely related to this and other unconditional structures. It is also shown that this property implies that certain Hilbert space valued operators can be extended.
متن کاملSupports of Gaussian Measures
The present paper is a continuation of the work, carried out in [4] and [5] of investigating the relationship between a Gaussian process and its reproducing kernel Hilbert subspace. Our main result gives a characterization of the topological support of a Gaussian measure defined on a linear topological space of functions on an arbitrary set. As special cases we consider Gaussian processes on Ba...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015