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Estimating Mixture of Gaussian Processes by Kernel Smoothing
Identifiability EM algorithm Kernel regression Gaussian process Functional principal component analysis
2016/1/26
When the functional data are not homogeneous, e.g., there exist multiple classes of func-tional curves in the dataset, traditional estimation methods may fail. In this paper, we propose a new estimati...
Estimating Mixture of Gaussian Processes by Kernel Smoothing
Identifiability EM algorithm Kernel regression Gaussian process Functional principal component analysis
2016/1/20
When the functional data are not homogeneous, e.g., there exist multiple classes of func-tional curves in the dataset, traditional estimation methods may fail. In this paper, we propose a new estimati...
Gaussian Processes for Nonlinear Signal Processing
Gaussian Processes Nonlinear Signal Processing
2013/5/2
Gaussian processes (GPs) are versatile tools that have been successfully employed to solve nonlinear estimation problems in machine learning, but that are rarely used in signal processing. In this tut...
A Novel Exact Representation of Stationary Colored Gaussian Processes (Fractional Differential Approach)
Digital Filtering Filtered White Noises Power Spectral Density Fractional Brownian Motion Fractional Stochastic Differential Equation Fractional Spectral Moments
2013/4/28
A novel representation of functions, called generalized Taylor form, is applied to the filtering of white noise processes. It is shown that every Gaussian colored noise can be expressed as the output ...
Linear Latent Force Models using Gaussian Processes
Gaussian Processes Linear Latent Force Models
2011/7/19
Purely data driven approaches for machine learning present difficulties when data is scarce relative to the complexity of the model or when the model is forced to extrapolate.
Expectiles for subordinated Gaussian processes with applications
expectiles robustness local shift sensitivity
2011/7/19
In this paper, we introduce a new class of estimators of the Hurst exponent of the fractional Brownian motion (fBm) process.
Wavelet estimation of the long memory parameter for Hermite polynomial of Gaussian processes
Hermite polynomials of a Gaussian process long–memory parameter non–Gaussian Rosenblatt
2011/6/16
We consider stationary processes with long memory which are non–Gaussian and represented
as Hermite polynomials of a Gaussian process. We focus on the corresponding
wavelet coefficients and study th...
Predictive Active Set Selection Methods for Gaussian Processes
Gaussian process classifi cation active set selection predictive distribution expectation propagation
2011/3/24
We propose an active set selection framework for Gaussian process classification for cases when the dataset is large enough to render its inference prohibitive. Our scheme consists on a two step alter...
On stochastic equations for the class of Gaussian processes
stochastic equations the class of Gaussian processes
2009/9/24
Ito stochastic equations are derived for a class of
multidimensional Gaussian processes appearing in connection with
generalized spline functions. Some analytic consequences for the
spline interpol...
On the supremum from Gaussian processes over infinite horizon
the supremum from Gaussian processes infinite horizon
2009/9/22
In the paper we study the asymptotic of the tail of
distribution function P(A(X, c) > x) for x + m, where A(X, c) is the
supremum of X(t)-ct over [0, co). In particular, X(t) is the fractional
Brow...
Level crossing and local time for regularized Gaussian processes
Level crossing local time regularized Gaussian processes
2009/9/22
Let (X,,t~ [0, 11) be a oentred stationary Gaussian
process defined on (D,A , P) with covariance function satisfying
Define the regularized process
X' = cp, * X and YE = Xc/oe, where CT~ = var Xf ,...
Characterizations of polynomial-Gaussian processes that are Markovian
Characterizations polynomial-Gaussian processes Markovian
2009/9/21
We consider questions of characterizing a stochastic
process X = (X,,t 2 0) by the properties of the first two conditional
moments. Our first result is a new version of the classical P. Levy
charac...
Level crossings and other level functionals of stationary Gaussian processes
Gaussian processes/fields Hermite polynomials level curve level functionals local time (factorial) moments
2009/5/18
This paper presents a synthesis on the mathematical work done on level crossings of stationary Gaussian processes, with some extensions. The main results [(factorial) moments, representation into the ...
A note on ergodic transformations of self-similar Volterra Gaussian processes
Gaussian process deterministic kernel Brownian motion
2009/3/27
We derive a class of ergodic transformation of self-similar Gaussian processes that are Volterra, i.e. of type X_t = int^t_0 z_X(t,s)dW_s, t in [0,infty), where z_X is a deterministic kernel and W is ...
A note on ergodic transformations of self-similar Volterra Gaussian processes
note ergodic transformation Gaussian processes
2009/3/23
We derive a class of ergodic transformation of self-similar Gaussian processes that are Volterra, i.e. of type X_t = int^t_0 z_X(t,s)dW_s, t in [0,infty), where z_X is a deterministic kernel and W is ...