An Efficient Nonlinear Dichotomous Coordinate Descent Adaptive Algorithm Based on Random Fourier Features
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2020.3028499
Abstract: The auxiliary normal equation is proposed to construct an incremental update (IU) system in which the increment of weight vector rather than the weight itself is optimized at each iteration, which however, can only deal… read more here.
Keywords: random fourier; fourier features; algorithm; dichotomous coordinate ... See more keywords
Algorithm and Architecture Design of Random Fourier Features-Based Kernel Adaptive Filters
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2022.3227727
Abstract: Numerous real-life systems exhibit complex nonlinear input-output relationships. Kernel adaptive filters, a popular class of nonlinear adaptive filters, can efficiently model these nonlinear input-output relationships. Their growing network structure, however, poses considerable challenges in terms… read more here.
Keywords: random fourier; based kernel; adaptive filters; kernel adaptive ... See more keywords
Exponential inequalities for dependent V-statistics via random Fourier features
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DOI: 10.1214/20-ejp411
Abstract: We establish exponential inequalities for a class of V-statistics under strong mixing conditions. Our theory is developed via a novel kernel expansion based on random Fourier features and the use of a probabilistic method. This… read more here.
Keywords: exponential inequalities; random fourier; inequalities dependent; dependent statistics ... See more keywords
Critical points of multidimensional random Fourier series: Central limits
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DOI: 10.3150/16-bej874
Abstract: We investigate certain families X~, 0 < ~ 1, of Gaussian random smooth functions on the m-dimensional torus T~ := Rm/(~−1Z)m. We show that for any cube B ⊂ R of size < 1/2 and… read more here.
Keywords: random fourier; points multidimensional; critical points; series central ... See more keywords