Jorge Muñoz-Minjares

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Estimation of the genome copy number variations (CNVs) measured using the high-resolution array-comparative genomic hybridization (HR-CGH) microarray is provided in the presence of large measurement white Gaussian noise having typically different segmental variances. Jitter inherent to the breakpoints of such signals can be approximated with the discrete(More)
The jitter probability is derived and analyzed in the breakpoints of the measured genome copy number variations (CNVs). It is supposed that measurements are provided using the high resolution array-comparative genomic hybridization (HR-CGH) microarray. We show that jitter is fundamentally inherent to the measured CNVs and that the jitter probability has the(More)
It is shown that jitter is fundamentally inherent to the break-points of discrete sparse piecewise-constant signals measured in noise. No one estimator, even ideal, is able to provide the jitter-free breakpoints detection with unit probability. Even so, the jitter distribution in such signals was unknown so far. We have shown that for noise having white(More)
Abstract: A forward-backward (FB) unbiased finite impulse response (UFIR) smoothing algorithm is addressed to provide efficient denoising of piecewise-smooth signals with known or identifiable edge positions. Owing to the time-variant horizon, the algorithm unites advantages of linear structures with robustness of nonlinear ones. The FB UFIR smoother(More)
We analyze and approximate the jitter distribution function in the breakpoints of the measured genome copy number alterations (CNAs). The CNAs measured using the high resolution technologies of hybridization are contaminated with an intensive noise that may cause uncertainty in the detected breakpoints and segments. We show that jitter is fundamentally(More)
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