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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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Minimum mean absolute error stack filtering with structural constraint and goals
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1990A theory for the structural behavior of stack filters is developed. This theory provides a test which can determine if a given stack filter has any root signals; a method for classifying the root signal behavior of any stack filter found to have roots; and, perhaps most important, a method for designing stack filters with specific root signals or other
Moncef Gabbouj, Edward J. Coyle
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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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Optimal morphological restoration: The morphological filter mean-absolute-error theorem
Journal of Visual Communication and Image Representation, 1992Morphological restoration is grounded on the Matheron representation for morphological filters, in the present context these being monotonically increasing, translation-invariant image-to-image operators. As conceived in its most general form, optimal-morphological-filter design involves a search over potential bases of structuring elements that can be
Robert P. Loce, Edward R. Dougherty
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Generalized stack filters and minimum mean absolute error estimation
1988., IEEE International Symposium on Circuits and Systems, 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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Minimum mean absolute error estimation over the class of generalized stack filters
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1990A 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.
Jean-Hsang Lin, Edward J. Coyle
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Mean absolute percentage error and bias in economic forecasting
Economics Letters, 2011Abstract This article develops a simple theoretical framework to show how forecasters may bias downward point predictions under the assumption that the asymmetric loss function is directly related to the (Mean) Absolute Percentage Error (M)APE.
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Optimal Mean-Absolute-Error Nonincreasing Binary Filters
1997The basic task of optimal filtering is to operate on an observed image in a manner that produces a filtered image that is a good estimate of a desired image. In the language of image restoration, we wish to filter a degraded document image to produce a restored image close to an ideal document image.
Edward R. Dougherty, Robert P. Loce
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On Mean Absolute Error for Deep Neural Network Based Vector-to-Vector Regression
IEEE Signal Processing Letters, 2020Jun Qi +2 more
exaly
Determination the Smoothing Constant that Minimizes Mean Absolute Error and Mean Square Deviation
Proceedings of the International Conference on Industrial Engineering and Operations Management, 2021Abdul Talib Bon +7 more
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