This note describes an interferometric reformulation of linear wave-based inverse problems, such as inverse source and inverse Born scattering. Instead of fitting data directly, we propose to match cross-correlations and other quadratic data combinations that generalize cross-correlations. This modification exhibits surprising robustness to modeling uncertainties of a kinematic nature. Three op...

Vocal tract data from 3D cine-MRI are used together with synchronised acoustics to evaluate a linear regression model for inversion. The first two principal components of vocalic area functions are predicted with correlations 0.99 and 0.97 respectively, from 24 FFT-cepstra measured in the frequency band 0-4 kHz. This best regression model together with the two component representation yields me...

In the title compound, trans-[PtCl(2)(C(7)H(9)N)(2)], the Pt(II) atom is located on an inversion center and is coordinated by two 3,4-dimethyl-pyridine ligands and two chloride ligands, resulting in a typical slightly distorted square-planar geometry. The crystallographic inversion centre forces the value of the C-N-N-C torsion angle to be linear and the 3,4-dimethyl-pyridine ligands to be copl...

A new OTA-based logarithmic-control variable gain current amplifier (LCCA) is presented. It consists of two Operational Transconductance Amplifier (OTA) and two PMOS transistors biased in weak inversion region. The circuit operates from 0.6V DC power supply and consumes 0.6 μW. The linear-dB controllable output range is 43 dB with maximum error less than 0.5dB. The functionality of the proposed...

Partial-inversion compilers generate programs which compute some unknown inputs of given programs from a given output and the rest of inputs whose values are already given. In this paper, we propose a partial-inversion compiler of constructor term rewriting systems. The compiler automatically generates a conditional term rewriting system, and then unravels it to an unconditional system. To impr...

In this paper we introduce a new class of what we shall call polynomial Vandermonde-like matrices. This class generalizes the polynomial Vandermonde matrices studied earlier by various authors, who derived explicit inversion formulas and fast algorithms for inversion and for solving the associated linear systems. A displacement structure approach allows us to carry over all these results to the...

In this paper we present an algorithm to compute the Lyndon array of a string T of length n as a byproduct of the inversion of the Burrows-Wheeler transform of T . Our algorithm runs in linear time using only a stack in addition to the data structures used for Burrows-Wheeler inversion. We compare our algorithm with two other linear-time algorithms for Lyndon array construction and show that co...

The non-linear inverse problem is formulated in a Bayesian framework. The multivariate normal distribution is assumed in both the noise and prior distributions. However, only the structures of the covariance matrices have to be specified, estimation of the variance levels is included in the inversion procedure. The maximum a posteriori approximation is derived, and the final result is a weighte...

We investigate the use of non-linear constraints for geophysical inverse problems, with specific examples applied to source inversion of self-potential data. Typical regularization methods often produce smooth solutions by introducing a quadratic term in the objective function that minimizes the L2 norm of a low-order differential operator applied to the model. In some cases, however, the prope...

Inverse theory concerns the problem of making inferences about physical systems from indirect noisy measurements. Information about the errors in the observations is essential to solve any inverse problem, otherwise it is impossible to say when a feature “fits the data.” In practice, however, one seldom has a direct estimate of the data errors. We exploit the trade-off between data prediction a...