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Smooth Bayesian Kernel Machines
2005In this paper, we consider the possibility of obtaining a kernel machine that is sparse in feature space and smooth in output space. Smooth in output space implies that the underlying function is supposed to have continuous derivatives up to some order.
Rutger W. ter Borg +1 more
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Kernel smoothing for jagged edge reduction
2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 2013In this paper, we consider the problem of removing jaggy artifacts from images. We consider the kernel regression framework and propose a reduced-rank quadratic adaptive method that adapts to the local gradient direction. The proposed technique is effective in shrinking isophote fluctuations, and the result is smooth edges.
Mohammad Aghagolzadeh, Andrew Segall
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KERNEL REGRESSION SMOOTHING OF TIME SERIES
Journal of Time Series Analysis, 1992Abstract. A class of non‐parametric regression smoothers for times series is defined by the kernel method. The kernel approach allows flexible modelling of a time series without reference to a specific parametric class. The technique is applicable to detection of non‐linear dependences in time series and to prediction in smooth regression models with ...
Härdle, Wolfgang, Vieu, Philippe
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Efficient Density Evaluation for Smooth Kernels
2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS), 2018Given a kernel function k(.,.) and a dataset P⊂ R^d, the kernel density function of P at a point xe R^d is equal to KDF_P(x):= 1/|P| Σ_yeP k(x, y). Kernel density evaluation has numerous applications, in scientific computing, statistics, computer vision, machine learning and other fields.
Arturs Backurs +3 more
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Smoothing for Discrete Kernels in Discrimination
Biometrical Journal, 1988AbstractIn multivariate discrimination by the discrete kernel method the allocation rule is Bayes risk consistent if the smoothing parameter is chosen by maximization of the leaving‐one‐out nonerror rate. It is shown that consistency still holds if the leaving‐one‐out nonerror rate is replaced by a smoothed version. Thus a cross‐validatory criterion is
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Mathematical Proceedings of the Cambridge Philosophical Society, 1984
Suppose is a symmetric square integrable kernel on the unit square [0, 1]2. Thenis a compact symmetric operator on the Hilbert space L2[0, 1]. H. Weyl (see [2]) has shown that, if then the eigenvaluesof T satisfy as n → ∞. We prove a related result.
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Suppose is a symmetric square integrable kernel on the unit square [0, 1]2. Thenis a compact symmetric operator on the Hilbert space L2[0, 1]. H. Weyl (see [2]) has shown that, if then the eigenvaluesof T satisfy as n → ∞. We prove a related result.
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A note on the behaviour of a kernel-smoothed kernel density estimator
Statistics & Probability Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Janssen, Paul +2 more
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Fast Kernel Smoothing by a Low-Rank Approximation of the Kernel Toeplitz Matrix
Journal of Mathematical Imaging and Vision, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guang Deng +2 more
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Evolving Smoothing Kernels for Global Optimization
2016The Diffusion-Equation Method (DEM) – sometimes synonymously called the Continuation Method – is a well-known natural computation approach in optimization. The DEM continuously transforms the objective function by a (Gaussian) kernel technique to reduce barriers separating local and global minima.
Paul Manns, Kay Hamacher
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Adapting kernel estimation to uncertain smoothness [PDF]
For local and average kernel based estimators, smoothness conditions ensure that the kernel order determines the rate at which the bias of the estimator goes to zero and thus allows the econometrician to control the rate of convergence. In practice, even with smoothness the estimation errors may be substantial and sensitive to the choice of the ...
Yulia Kotlyarova +2 more
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