# [PDF] Top 20 Random oscillator with general Gaussian noise

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### Random oscillator with general Gaussian noise

... randomness **with** nonlinearity gives rise to a variety of phenomena both of practical and theoretical significance that have been the subject of many studies since the pioneering work of Stratonovich [1, 2, 3, 4] ... Voir le document complet

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### Packing dimension results for anisotropic Gaussian random fields

... of **Gaussian** **random** fields satisfying Condition (C) is ...operator-scaling **Gaussian** fields **with** stationary increments in Xiao (2009b) and solutions to the stochastic heat equation [in all these ... Voir le document complet

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### Adaptive detection of a Gaussian signal in Gaussian noise

... Department of Electronics, Optronics and Signal 10 Avenue Edouard Belin, 31055 Toulouse France Abstract—Adaptive detection of a Swerling I-II type target in **Gaussian** **noise** **with** unknown covariance ... Voir le document complet

5

### Invariances of random fields paths, with applications in Gaussian Process Regression

... statistics **with** optimal linear prediction and Kriging [1, 2], **random** field models for prediction have become a main stream topic in machine learning (under the **Gaussian** Process Regression ... Voir le document complet

27

### Factor analysis of dynamic PET images: beyond Gaussian noise

... emitter **with** respect to the provided time ...3D **Gaussian** point spread function (PSF) is applied, followed by a down-sampling to a 128 × 128 × 64 image matrix of ...projected **with** respect to real ... Voir le document complet

12

### Coding along hermite polynomials for gaussian noise channels

... fading **Gaussian** broadcast channel is not **Gaussian** in ...outperform **Gaussian** ones, for certain characterized fading distributions, is ...distributions **with** closed form expressions is made ... Voir le document complet

6

### On degeneracy and invariances of random fields paths with applications in Gaussian process modelling

... in **general** second-order settings, an impressive diversity of path properties including invariances under group actions or sparse ANOVA decompositions of multivariate paths can be encapsulated in the framework of ... Voir le document complet

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### Generalized Likelihood Ratio Test for Detection of Gaussian Rank-One Signals in Gaussian Noise With Unknown Statistics

... a **random** variable has received little attention, and the quasi totality of recent studies followed the lead of [2] and considered α t p as deter- ministic ...a **Gaussian** signal in col- ored **noise** ... Voir le document complet

12

### Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients *

... A **general** construction of wavelet expansions of the form (2) for **Gaussian** processes was recently proposed in [22], in the **general** framework of Dirichlet ...commutes **with** the operator that ... Voir le document complet

25

### Additivity and Ortho-Additivity in Gaussian Random Fields

... In the last two columns there is no further surprise. They emphasize, though, that the results differ **with** respect to the DoE. Combined the results suggest that the (solely) ortho-additive kernel is not suitable ... Voir le document complet

59

### Anharmonic oscillator driven by additive Ornstein-Uhlenbeck noise

... a **random** **noise** [3, ...diffusion **with** exponents that depend on the form of the confining potential at ...the **noise** until the dissipative time scale is reached and the physical observables ... Voir le document complet

20

### Factor analysis of dynamic PET images: beyond Gaussian noise

... emitter **with** respect to the provided time ...3D **Gaussian** point spread function (PSF) is applied, followed by a down-sampling to a 128 × 128 × 64 image matrix of ...projected **with** respect to real ... Voir le document complet

13

### Algorithms for stationary Gaussian random field generation

... 2 **General** algorithm for **random** field generation If C(h) is a valid autocovariance function , R is a symmetric positive definite Toeplitz (diagonal-constant) ...the **random** vector Y of normal variables ... Voir le document complet

17

### Exact filtering and smoothing in Markov switching systems hidden with Gaussian long memory noise

... the **general** triplet Markov chains (Pieczynski and Desbouvries 2005), they make the exact computation of optimal Kalman-like filters possible, and the exact calculation of smoothing is also possible, as shown in ... Voir le document complet

7

### Phase diagram of the random frequency oscillator: The case of Ornstein-Uhlenbeck noise

... derive **general** results about the stochastic **oscillator** **with** **random** frequency: thanks to dimensional analysis, we reduce the dimension of the parameter space from four to two and show how the ... Voir le document complet

18

### On the stopping criterion for numerical methods for linear systems with additive Gaussian noise

... estimation **with** a non-**Gaussian** prior The use of a quadratic penalization for the regularisation of the least-squares estimation problem (1) suits smooth objects ...generalized **Gaussian** Markov ... Voir le document complet

20

### Restoration of astrophysical images. The case of Poisson data with additive Gaussian noise

... of **general** use whatever the exact properties of the kernel w(r, ...acquired **with** CCD ...various **noise** eﬀects such as the statistical Poisson e ﬀect during the image formation process and the additive ... Voir le document complet

14

### Regression to a Linear Lower Bound With Outliers: An Exponentially Modified Gaussian Noise Model

... among both novices and experts. Despite all these attractive features, linear regression is not a silver bullet. Estimated parameters are oversensitive to outliers [1] and OLS may be outperformed by the minimum absolute ... Voir le document complet

6

### Detecting transient gravitational waves in non-Gaussian noise with partially redundant analysis methods

... the likelihood ratio, Eq. ( 2 ), provides a natural unified ranking for the candidate events identified by the search methods. It has a straightforward interpretation—events from each method are ranked according to the ... Voir le document complet

12

### Communication in the presence of additive gaussian noise

... The restriction on the location of the zeros of E(s)/F(s) will not be met in practical cases. The penalty for attempting this operation is that the noise power d[r] ... Voir le document complet

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