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The total variation has been introduced in computer vision first by Rudin, Osher and Fatemi [1] as a regularizing criterion for solving inverse problems.
Toward this objective, the prior information on sparsity is viewed as an extra measurement μ k = ∥ x k ∥ 0, rather than as a regularizing term in the LS cost function.
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Thus, the RC fitting algorithms are adjusted (i.e. regularized) with a "regularizing" operation or term to prevent overfitting to noise [3], [8] [10].
As a model problem, we consider a regularized long wave (RLW) equation firstly introduced by Peregrine (in [1]) to provide an alternative description of nonlinear dispersive waves to the Korteweg-de Vries (KdV) equation.
In the following, we focus on the LPIC detector and use it as an iterative regularizing scheme to achieve two simultaneous objectives: low-complexity and resistance to noise enhancement.
The underlying reality they describe is just not as regularized as the underlying reality of, say, a solar system.
This signal-noise ratio is inversely proportional to the singular values, as is clearly shown by the expression: d i s i = b i + s i − 1 ε ˜ i (7 The least squares estimator of b i can be computed from expression (7) as b i ∗ = d i s i and serves as a basis for regularizing estimation through truncation or weighting.
To obtain this data, hereafter referred to as regularized, we define a stepsize of 24 hours which is reasonable given that we are modelling migratory pathways than span approximately 3 months.
A new method referred to as regularized minimum class variance extreme learning machine (RMCVELM) is proposed and used as classifier for language recognition.
So Lu et al. [2] defined {xs,t} as follows by regularizing the mapping S: x s, t = s [ t f ( x s, t ) + ( 1 - t ) S x s, t ] + ( 1 - s ) T x s, t, s, t ∈ ( 0, 1 ).
The present study employed a comparison of a read task versus a regularize task in 2 independent samples of healthy young adults, referred to henceforth as the Behavioral cohort/study and the fMRI cohort/study.
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