Robust regression and outlier detection
Robust regression and outlier detection
Kendall's advanced theory of statistics
Kendall's advanced theory of statistics
IEEE Transactions on Pattern Analysis and Machine Intelligence
What's in a Set of Points? (Straight Line Fitting)
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Line Fitting in a Noisy Image by the Method of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding - Special issue on robusst statistical techniques in image understanding
Comments on: 'Robust Line Fitting in a Noisy Image by the Method of Moments'
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New Method for Mining Regression Classes in Large Data Sets
IEEE Transactions on Pattern Analysis and Machine Intelligence
MINPRAN: A New Robust Estimator for Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust clustering methods: a unified view
IEEE Transactions on Fuzzy Systems
Genetic Algorithms and Very Fast Simulated Reannealing: A comparison
Mathematical and Computer Modelling: An International Journal
Gaussian mixture density modeling, decomposition, and applications
IEEE Transactions on Image Processing
Mining regression-classes in fuzzy point data sets
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 2
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It is well known that classical robust estimators tolerate only less than fifty percent of outliers. However, situations with more than fifty percent of outliers often occur in practice. The efficient identification of objects from a noisier background is thus a difficult problem. In this paper, a highly robust estimator is formulated to tackle such a difficulty. The proposed estimator is called the regression density decomposition (RDD) estimator. The computational analysis of the estimator and its properties are discussed and a simulated annealing algorithm is proposed for its implementation. It is demonstrated that the RDD estimator can resist a very large proportion of noisy data, even more than fifty percent. It is successfully applied to some simulated and real-life noisy data sets. It appears that the estimator can solve efficiently and effectively general regression problems, pattern recognition, computer vision and data mining problems.