We present the Sequential Ensemble Transform (SET) method, an approach for generating approximate samples from a Bayesian posterior distribution. The method explores distribution by solving sequence of discrete optimal transport problems to produce series plans which map prior samples. prove that Dirac mixture distributions produced SET converges weakly true as sample size approaches infinity. ...

Abstract Spin lattice relaxation is the simplest type of β NMR measurement. The usual approach to implant a pulse hyperpolarized nuclei and monitor time-resolved β-decay asymmetry, yielding ensemble average spin-lattice relaxation. In case, asymmetry decays exponentially with characteristic time constant T 1 , but this ideal rarely obtained in practice. most data, more complicated. This can be ...

We have studied the computational complexity associated with the overcomplete wavelet transform for the commonly used Spline wavelet family. By deriving general expressions for the computational complexity using the conventional filtering implementation, we show that the inverse transform is significantly more costly in computation than the forward transform. To reduce this computational comple...

ÐIn this paper, an Inverse Hough Transform algorithm is proposed. This algorithm reconstructs correctly the original image, using only the data of the Hough Transform space and it is applicable to any binary image. As a first application, the Inverse Hough Transform algorithm is used for straight-line detection and filtering. The lines are detected not just as continuous straight lines, which i...

This paper first describes an algorithm that finds the approximate finite impulse response (FIR) inverse of an FIR filter by minimizing the inversion (or reconstruction) error constrained to zero-bias. The generalization of the inverse filtering problem in the two channel case is the design of perfect reconstruction filter banks that use critical sampling. These considerations lead to the deriv...

Let J% exp(-PQf(t) dt = F(P) P > 0 where b > 0 is a given number. We give a formula for f (t) in terms of F (p) , p > 0. The object of this Letter is to give a formula for the inverse Laplace transform in which the data used are given on the semi-axis p > 0 only. Let P>O where b > 0 is a fixed number. We have (1, formula 4.14.1) where Jo is a Bessel function. It follows from (1) and (2) that s,...

It was shown [ 21 that any SFF can be decomposed in this manner. Thus, F(x) is an SFF if, and only if, it can be expressed as the sum of four functions in the form of the above equation. Additional SFF studies are reported in refs. [ 3-51. Another issue that has been recently investigated is the fractional Fourier transform [ 6-91. Two distinct definitions of the fractional Fourier transform ha...