scholarly journals Backward nonlinear smoothing diffusions

2021 ◽  
Vol 66 (2) ◽  
pp. 305-326
Author(s):  
Brian D.O. Anderson ◽  
Brien Anderson ◽  
Adrian N. Bishop ◽  
Adrien N. Bishop ◽  
Пьер Дел Морал ◽  
...  
Keyword(s):  
Nonlinear Smoothing

Мы представляем обратный диффузионный поток (т.е. обратное по времени стохастическое дифференциальное уравнение), маргинальное распределение которого в любой (более ранний) момент времени равно сглаживающему распределению, когда конечное состояние (в заключительный момент) распределено согласно распределению фильтра. Это новая интерпретация сглаживающего решения в терминах нелинейного диффузионного (стохастического) потока. Это решение контрастирует и дополняет (обратный) детерминированный поток вероятностных распределений (т.е. разновидность уравнения сглаживания Кушнера), изучавшегося в ряде предшествующих работ. Приведен ряд следствий нашего основного результата, включая вывод стохастического дифференциального уравнения с обращенным временем и вывод классических уравнений сглаживания Рауха-Тунга-Стрибела в линейной постановке.

Westward-propagating Rossby modes in idealized GCMs

2021 ◽  
Author(s):  
Pablo Zurita-Gotor ◽  
Isaac M. Held
Keyword(s):  
General Circulation ◽  
Surface Friction ◽  
General Circulation Models ◽  
Convective Heating ◽  
Smoothing Algorithm ◽  
Precipitation Field ◽  
Background Spectrum ◽  
Spectral Peaks ◽  
Nonlinear Smoothing ◽  
State Of Rest

AbstractThis work investigates the characteristics of westward-propagating Rossby modes in idealized global general circulation models. Using a nonlinear smoothing algorithm to estimate the background spectrum and an objective method to extract the spectral peaks, the 4 leading meridional modes can be identified for each of the first 3 zonal wavenumbers, with frequencies close to the predictions from the Hough modes obtained by linearizing about a state of rest. Variations in peak amplitude for different modes, both within a simulation and across simulations, may be understood under the assumption that the forcing of the modes scales with the background spectrum. Surface friction affects the amplitude and width of the peaks but both remain finite as friction goes to zero, which implies that some other mechanism, arguably nonlinear, must also contribute to the damping of the modes. Although spectral peaks are also observed for the precipitation field with idealized moist physics, there is no evidence of mode enhancement by the convective heating. Subject to the same friction, the amplitude of the peaks are very similar in the dry and moist models when both are normalized by the background spectra.

Applications of nonlinear smoothing to speech processing

1975 ◽  
Vol 57 (S1) ◽  
pp. S2-S2
Author(s):  
L. R. Rabiner ◽  
M. R. Sambur ◽  
C. E. Schmidt
Keyword(s):  
Speech Processing ◽  
Nonlinear Smoothing

scholarly journals Almost Sure Local Well-Posedness for a Derivative Nonlinear Wave Equation

2020 ◽  
Author(s):  
Bjoern Bringmann
Keyword(s):  
Wave Equation ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Local Existence ◽  
Approximate Solutions ◽  
Well Posedness ◽  
Dispersive Equations ◽  
Deterministic Theory ◽  
Nonlinear Smoothing ◽  
Iterative Decomposition

Abstract We study the derivative nonlinear wave equation $- \partial _{tt} u + \Delta u = |\nabla u|^2$ on $\mathbb{R}^{1 +3}$. The deterministic theory is determined by the Lorentz-critical regularity $s_L = 2$, and both local well-posedness above $s_L$ as well as ill-posedness below $s_L$ are known. In this paper, we show the local existence of solutions for randomized initial data at the super-critical regularities $s\geqslant 1.984$. In comparison to the previous literature in random dispersive equations, the main difficulty is the absence of a (probabilistic) nonlinear smoothing effect. To overcome this, we introduce an adaptive and iterative decomposition of approximate solutions into rough and smooth components. In addition, our argument relies on refined Strichartz estimates, a paraproduct decomposition, and the truncation method of de Bouard and Debussche.

Nonlinear smoothing of stereo disparity maps

1994 ◽  
Vol 30 (5) ◽  
pp. 391-393 ◽  
Author(s):  
D.V. Papadimitriou ◽  
T.J. Dennis
Keyword(s):  
Stereo Disparity ◽  
Nonlinear Smoothing ◽  
Disparity Maps

scholarly journals Ensemble Transform Algorithms for Nonlinear Smoothing Problems

2020 ◽  
Vol 42 (1) ◽  
pp. A87-A114
Author(s):  
Jana de Wiljes ◽  
Sahani Pathiraja ◽  
Sebastian Reich
Keyword(s):  
Nonlinear Smoothing ◽  
Ensemble Transform

An Improved Active Queue Management Algorithm Based on Nonlinear Smoothing

2011 ◽  
Vol 295-297 ◽  
pp. 1823-1828 ◽  
Author(s):  
Jing Jun Zhang ◽  
Wen Long Xu ◽  
Li Guo Wang
Keyword(s):  
Packet Loss ◽  
Loss Rate ◽  
Rate Function ◽  
Packet Loss Rate ◽  
Random Early Detection ◽  
Management Algorithm ◽  
Nonlinear Smoothing ◽  
The Stability ◽  
Nonlinear Smooth ◽  
Maximum Threshold

According to the limitations of calculation of the original random early detection (RED) algorithm in linear packet loss rate. This paper proposes an improved algorithm which imposes nonlinear smooth for packet loss rate function of RED algorithm. The speed of growth of packet loss rate is relatively slow near the minimum threshold, while near the maximum threshold the speed of growth of packet loss rate is relatively faster. In this case, using the trend of the average queue length to dynamically adjust the parameters of the RED algorithm, it reduces the dependence on the parameters of the RED algorithm and enhances the stability of the algorithm. NS simulation shows that this algorithm has been significantly improved for packet loss rate, throughput and other performance.

scholarly journals Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle

2021 ◽  
Vol 297 ◽  
pp. 25-46
Author(s):  
Bradley Isom ◽  
Dionyssios Mantzavinos ◽  
Seungly Oh ◽  
Atanas Stefanov
Keyword(s):  
Nonlinear Smoothing
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