A rigorous accuracy analysis is given to various techniques for estimating parameters of geometric models from noisy data. It is first pointed out that parameter estimation for computer vision applications is very different in nature from traditional statistical analysis and that a different mathematical framework is necessary in such a domain. After general theories on estimation and accuracy ...

A major purpose of an electronic meeting system (EMS) is recording data, which allows the production of an immediate and unbiased report. But reports produced by commercial EMSs have some weaknesses that make difficult the organisational integration of meeting results. In order to contribute to the solution of this problem, it was developed a new system supported in the concept of communication...

We design an iterative proportional fitting procedure (parameterized by a continuous t-norm) for computation of multidimensional possibility distributions from its marginals, and discuss its basic properties.

in order to study the relationship between random boolean sets and some explanatory variables, this paper introduces a propagation model. this model can be applied when corresponding poisson process of the boolean model is related to explanatory variables and the random grains are not affected by these variables. an approximation for the likelihood is used to find pseudo-maximum likelihood esti...

We propose an iterative algorithm for high-dimensional sparse grid regression with penalty. The algorithm is of additive Schwarz type and is thus parallel. We show that the convergence of the algorithm is better than additive Schwarz and examples demonstrate that convergence is between that of additive Schwarz and multiplicative Schwarz procedures. Similarly, the method shows improved performan...

1 Curve Fitting and Polymers The availability of data from well-characterized samples such as those offered by Beamson and Briggs [1] owe much to the popularity of XPS as a tool for understanding the chemistry of polymers. A typical C 1s envelope [2] (Figure 1) includes structure that offers chemical information about a sample, but without some initial starting point it is difficult to construc...

Two modifications of the resolution of the identity (RI)/density fitting (DF) approximations are presented. First, we apply linear scaling and J-engine techniques to speed up traditional DF. Second, we develop an algorithm that produces local, accurate fits with effort that scales linearly with system size. The fits produced are continuous, differentiable, well-defined, and do not require prese...

Technical Note: Review of methods for linear least-squares fitting of data and application to atmospheric chemistry problems C. A. Cantrell National Center for Atmospheric Research, Atmospheric Chemistry Division, 1850 Table Mesa Drive, Boulder, CO 80305, USA Received: 13 February 2008 – Accepted: 21 February 2008 – Published: 1 April 2008 Correspondence to: C. A. Cantrell ([email protected]) P...

For fitting an ellipse to a point sequence, ML (maximum likelihood) has been regarded as having the highest accuracy. In this paper, we demonstrate the existence of a “hyperaccurate” method which outperforms ML. This is made possible by error analysis of ML followed by subtraction of high-order bias terms. Since ML nearly achieves the theoretical accuracy bound (the KCR lower bound), the result...