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- Kernel_adaptive_filter abstract "In signal processing, a kernel adaptive filter is a type of nonlinear adaptive filter. An adaptive filter is a filter that adapts its transfer function to changes in signal properties over time by minimizing an error or loss function that characterizes how far the filter deviates from ideal behavior. The adaptation process is based on learning from a sequence of signal samples and is thus an online algorithm. A nonlinear adaptive filter is one in which the transfer function is nonlinear.Kernel adaptive filters implement a nonlinear transfer function using kernel methods. In these methods, the signal is mapped to a high-dimensional linear feature space and a nonlinear function is approximated as a sum over kernels, whose domain is the feature space. If this is done in a reproducing kernel Hilbert space, a kernel method can be a universal approximator for a nonlinear function. Kernel methods have the advantage of having convex loss functions, with no local minima, and of being only moderately complex to implement.Because high-dimensional feature space is linear, kernel adaptive filters can be thought of as a generalization of linear adaptive filters. As with linear adaptive filters, there are two general approaches to adapting a filter: the least mean squares filter (LMS) and the recursive least squares filter (RLS). There is also an approach that employs a projection-based rationale, i.e., the Kernel Adaptive Projected Subgradient method, which can incorporate more general (possibly non-differentiable) loss functions. Among these three general approaches a number of variants have been created, including: Naive Online regularized Risk Minimization Algorithm (NORMA), Quantized KLMS (QKLMS), Approximate Linear Dependency KRLS (ALD-KRLS), Sliding-Window KRLS (SW-KRLS), Fixed-Budget KRLS (FB-KRLS), the KRLS Tracker (KRLS-T) algorithm, the Quantized APSM, etc. There is also variants that can treat complex data, like the Complex Kernel LMS, the widely linear (or augmented) Complex Kernel LMS and the complex Kernel APSM.Source code (in Matlab) for some of the aforementioned algorithms together with relative experiments on synthetic data can be downloaded from here.".
- Kernel_adaptive_filter wikiPageExternalLink kernels.html.
- Kernel_adaptive_filter wikiPageID "42253995".
- Kernel_adaptive_filter wikiPageLength "6964".
- Kernel_adaptive_filter wikiPageOutDegree "13".
- Kernel_adaptive_filter wikiPageRevisionID "697703355".
- Kernel_adaptive_filter wikiPageWikiLink Adaptive_filter.
- Kernel_adaptive_filter wikiPageWikiLink Category:Digital_signal_processing.
- Kernel_adaptive_filter wikiPageWikiLink Category:Kernel_methods_for_machine_learning.
- Kernel_adaptive_filter wikiPageWikiLink Category:Nonlinear_filters.
- Kernel_adaptive_filter wikiPageWikiLink Computational_complexity_theory.
- Kernel_adaptive_filter wikiPageWikiLink Kernel_method.
- Kernel_adaptive_filter wikiPageWikiLink Least_mean_squares_filter.
- Kernel_adaptive_filter wikiPageWikiLink Loss_function.
- Kernel_adaptive_filter wikiPageWikiLink Online_machine_learning.
- Kernel_adaptive_filter wikiPageWikiLink Recursive_least_squares_filter.
- Kernel_adaptive_filter wikiPageWikiLink Reproducing_kernel_Hilbert_space.
- Kernel_adaptive_filter wikiPageWikiLink Signal_processing.
- Kernel_adaptive_filter wikiPageWikiLink Transfer_function.
- Kernel_adaptive_filter wikiPageWikiLinkText "Kernel adaptive filter".
- Kernel_adaptive_filter wikiPageUsesTemplate Template:Reflist.
- Kernel_adaptive_filter subject Category:Digital_signal_processing.
- Kernel_adaptive_filter subject Category:Kernel_methods_for_machine_learning.
- Kernel_adaptive_filter subject Category:Nonlinear_filters.
- Kernel_adaptive_filter hypernym Filter.
- Kernel_adaptive_filter type Software.
- Kernel_adaptive_filter type Field.
- Kernel_adaptive_filter type Filter.
- Kernel_adaptive_filter type Method.
- Kernel_adaptive_filter type Page.
- Kernel_adaptive_filter comment "In signal processing, a kernel adaptive filter is a type of nonlinear adaptive filter. An adaptive filter is a filter that adapts its transfer function to changes in signal properties over time by minimizing an error or loss function that characterizes how far the filter deviates from ideal behavior. The adaptation process is based on learning from a sequence of signal samples and is thus an online algorithm.".
- Kernel_adaptive_filter label "Kernel adaptive filter".
- Kernel_adaptive_filter sameAs Q6394192.
- Kernel_adaptive_filter sameAs m.05syf_q.
- Kernel_adaptive_filter sameAs Q6394192.
- Kernel_adaptive_filter wasDerivedFrom Kernel_adaptive_filter?oldid=697703355.
- Kernel_adaptive_filter isPrimaryTopicOf Kernel_adaptive_filter.