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Root mean square error or mean absolute error? Use their ratio as well
Information Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Morphological filter mean-absolute-error theorem
SPIE Proceedings, 1992The general characterization of optimal morphological filters is based on the Matheron representation for morphological filters. As conceived in its most general form, optimal- morphological-filter design involves a search over potential bases of structuring elements that can be used to form the Matheron erosion expansion.
Robert P. Loce, Edward R. Dougherty
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Minimum mean absolute error nonlinear filtering
ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing, 2003A class of sliding window operators called generalized stack filters is developed. This class of filters, which includes all rank order filters, stack filters, and digital morphological filters, is the set of all filters possessing the threshold decomposition architecture and a consistency property, called the stacking property.
J.H. Lin, E.J. Coyle
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On the mean squared error, the mean absolute error and the like
Communications in Statistics - Theory and Methods, 1999The problem of finding the minimizer of the rth -mean error , is revisited, via a unified approach. The approach is discussed for arbitrary r and is illustrated for r = 1 (mean absolute error)r = 2 (mean squared error), and r = 4. This approach is also discussed in the context of maximum likelihood estimation in a class of symmetric distributions which
Shaul K. Bar-Lev +2 more
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Stack filters and the mean absolute error criterion
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1988A method to determine the stack filter which minimizes the mean absolute error between its output and a desired signal, given noisy observations of this desired signal, is presented. Specifically, an optimal window-width-b stack filter can be determined with a linear program with O(b2/sup b/) variables.
Coyle, Edward J., Lin, Jean-Hsang
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Exact Mean Absolute Error of Baseline Predictor, MARP0
Information and Software Technology, 2016Shepperd and MacDonell "Evaluating prediction systems in software project estimation". Information and Software Technology 54 (8), 820-827, 2012, proposed an improved measure of the effectiveness of predictors based on comparing them with random guessing.
Langdon, WB +3 more
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Quantization Based on the Mean-Absolute-Error Criterion
IEEE Transactions on Communications, 1978Performance criteria for the design of optimum quantizers are considered. A distance criterion for quantizer input and output probability distribution functions is formulated, and its relationship to the usual distortion criteria is established.
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Optimal parallel stack filtering under the mean absolute error criterion
IEEE Transactions on Image Processing, 1994The authors extend the configuration of stack filtering to develop a new class of stack-type filters called parallel stack filters (PSFs). As a basis for the parallel stack filtering, the block threshold decomposition (BTD) is introduced, and its properties are investigated.
Zeng, Bing, Neuvo, Yrjo
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Morphological correlation and mean absolute error criteria
International Conference on Acoustics, Speech, and Signal Processing, 2003The mean absolute error criterion for signal detection and matching is linked with a morphological signal correlation (a sum of minima). Several properties of this nonlinear correlation are investigated, its performance for signal detection is compared with that of the classical (sum of products) linear correlation, and its statistical form is ...
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The mean-absolute-error criterion for quantization
ICASSP '77. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005A significant property of the mean-absolute-error (MAE) criterion for optimum quantization is derived. A criterion based on output probability distributions is first formulated, and the two equations for optimum quantizer parameters based on this criterion are obtained.
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