In the present paper we compute the geometric minimum mean square error for the vector linear estimation problem. We do this by proving that the vector linear estimator that minimizes the mean square error (MSE) also minimizes the geometric MSE.

The Saccharomyces cerevisiae transcription factor Ndt80 selectively binds a DNA consensus sequence (the middle sporulation element [MSE]) to activate gene expression after the successful completion of meiotic recombination. Here we report the X-ray crystal structures of Ndt80 bound to ten distinct MSE variants. Comparison of these structures with the structure of Ndt80 bound to a consensus MSE ...

We address the problem of reconstructing a random signal from samples of its filtered version using a given interpolation kernel. In order to reduce the mean squared error (MSE) when using a non-optimal interpolation kernel we propose using a scheme with reconstruction rate that is greater than the sampling rate. A digital correction system that processes the samples prior to their multiplicati...

This paper investigates ontology-based approaches for representing information semantics and in particular the World Wide Web. A general Manufacturing System Engineering (MSE) knowledge representation scheme, called an MSE Ontology Model, to facilitate communication and information exchange in inter-enterprise, multi-disciplinary engineering design teams has been developed and encoded in the st...

Performance of equalizers depends on the discrete time model of the input signal and noise. The use of higher sampling rate results in colored noise when the bandwidth of the noise-limiting prefilter is not sufficiently large. It is shown that the mean square error (MSE) performance of linear equalizers becomes sensitive to the decision delay when the input noise is colored, and by using the ap...

| A lower bound on the mean square error (MSE) of image reconstruction in emission tomography is obtained and used in the evaluation of diierent image approximations. One component of the lower bound on the MSE is the Cram er-Rao (CR) bound on the error variance. The CR bound for diierent image approximations is derived by knowing how the CR bound is modiied when one is interested in some funct...

We study the problem of sampling a bandlimited graph signal in the presence of noise, where the objective is to select a node subset of prescribed cardinality that minimizes the signal reconstruction mean squared error (MSE). To that end, we formulate the task at hand as the minimization of MSE subject to binary constraints, and approximate the resulting NP-hard problem via semidefinite program...

We discuss the problem of image restoration from observed images. Most of the image restoration filters proposed so far include parameters that control the restoration properties. For bringing out the optimal restoration performance of the filters, the parameter values should be determined so as to minimize a certain error measure such as the mean squared error (MSE) between the restored image ...