If the Navier-Stokes equations are averaged with a local, spacial convolution type filter, φ = gδ ∗ φ , the resulting system is not closed due to the filtered nonlinear term uu. An approximate deconvolution operator D is a bounded linear operator which satisfies

Minimizing a convex function of measure with sparsity-inducing penalty is typical problem arising, e.g., in sparse spikes deconvolution or two-layer neural networks training. We show that this can be solved by discretizing the and running non-convex gradient descent on positions weights particles. For measures d-dimensional manifold under some non-degeneracy assumptions, leads to global optimiz...

The coherent addition of the wavefronts of two opposing highangle lenses provides an axial (z) resolution improvement by 5–7-fold in farfield fluorescence microscopy. However, all microscopy concepts based on this principle have so far required mathematical deconvolution of the acquired data. This stems from the fact that the decrease of the axial width of the effective point spread function (E...

conclusions single dose therapy of mtx has sufficient power and efficacy in the treatment of ectopic pregnancy, however in patients with higher serum level of β-hcg, the successful treatment increases by using double dose method. using double dose also could decrease the necessity of operation, re-administration of mtx, and duration of hospitalization. results results showed that the rate of su...

Images obtained by using a high-angle annular dark-field (HAADF) detector in the scanning transmission electron microscope (STEM) are able to resolve atomic columns of crystalline materials [1]. This imaging is believed to be incoherent and described as a convolution of a scattering distribution and an electron probe [2]. Therefore, any deconvolution techniques may improve image resolution by e...

introduction: renal dynamic study is a well-established and popular test in routine practice of nuclear medicine. the test is non-invasive, rapid and unique in evaluation of the kidney function. in despite of its clinical values, the parameters derived from renogram are physiologically meaningless. that is due to the fact that renogram is not the true kidney function. from mathematical points o...

1 Analyzing General Properties of Network Deconvolution 3 1.1 Network deconvolution algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Optimality analysis of network deconvolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Modeling assumptions and intuitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

The impact of mixture spectra deconvolution on the performance of four popular de novo sequencing programs was tested using artificially constructed mixture spectra as well as experimental proteomics data. Mixture fragmentation spectra are recognized as a limitation in proteomics because they decrease the identification performance using database search engines. De novo sequencing approaches ar...

Deconvolution of phased microphone array source maps is a commonly applied technique in order to improve the dynamic range and resolution of beamforming. Most deconvolution algorithms require a point spread function (PSF). In this work, it is shown that the conventional definition of the PSF, based on steering vectors, is changed when the source is rotating. The effect of rotation results in an...