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Optimal weighted order statistic filters under the mean absolute error criterion

[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing, 1991
Based on the relationship between weighted order statistic (WOS) filters and threshold logic, an algorithm is developed for determining optimal WOS filters under the mean absolute error (MAE) criterion. This algorithm requires much less computation than the adaptive stack filtering algorithm.
L. Yin, J. Astola, Y. Neuvo
openaire   +2 more sources

Measuring Relative Accuracy: A Better Alternative to Mean Absolute Percentage Error

SSRN Electronic Journal, 2013
Surveys show that the mean absolute percentage error (MAPE) is the most widely used measure of forecast accuracy in businesses and organizations. It is also used to compare accuracy across multiple data sets, e.g. when choosing a forecasting method. Yet this metric systematically favours methods which under-forecast.
C. Tofallis
openaire   +2 more sources

Minimum mean absolute error stack filtering with structural constraint and goals

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1990
A 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
Gabbouj, Moncef, Coyle, Edward J.
openaire   +3 more sources

Mean Absolute Error

Encyclopedia of Machine Learning and Data Mining, 2017
Johannes Fürnkranz   +30 more
openaire   +2 more sources

On the Relationship Between Mean Absolute Error and Age of Incorrect Information in the Estimation of a Piecewise Linear Signal Over Noisy Channels

IEEE Communications Letters, 2022
We consider the remote estimation of a stochastic piecewise linear signal, observed by a sensor, at a monitor. The sensor transmits a packet whenever the observed signal’s slope changes.
Subham Saha   +3 more
semanticscholar   +1 more source

Morphological filter mean-absolute-error theorem

SPIE Proceedings, 1992
The 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
openaire   +1 more source

Minimum mean absolute error nonlinear filtering

ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing, 2003
A 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
openaire   +1 more source

On the mean squared error, the mean absolute error and the like

Communications in Statistics - Theory and Methods, 1999
The 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
openaire   +1 more source

Evaluation of Mean Absolute Error in Collaborative Filtering for Sparsity Users and Items on Female Daily Network

2019 International Conference on Informatics, Multimedia, Cyber and Information System (ICIMCIS), 2019
Female Daily Network is a beauty platform company that has a feature to share women's experiences of beauty items by rating them and talk about that. Female Daily Network doesn't have a recommendation engine for the next user will review the beauty item.
Bern Jonathan   +3 more
semanticscholar   +1 more source

Optimal Mean-Absolute-Error Nonincreasing Binary Filters

1997
The 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
openaire   +1 more source

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