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A random least-trimmed-squares identification algorithm
Automatica, 2003The least-trimmed-squares (LTS) estimator is a robust estimator in terms of protecting the estimate from the outliers, but it possesses a high computational complexity. The author proposes a random LTS algorithm having a low computational complexity and that can be calculated a priori as a function of the required error bound and the confidence ...
Er-Wei Bai
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Least Trimmed Squares for Regression Models with Stable Errors
Fluctuation and Noise Letters, 2023Least Trimmed Squares (LTS) is a robust regression method with respect to outliers. It is based on performing Ordinary Least Squares (OLS) estimates on sub-datasets and determining the optimal solution corresponding to the minimum sum of squared residuals. Since the method of LTS is based on OLS, errors in regression models have finite variance.
Mohammad Bassam Shiekh Albasatneh +1 more
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Adaptive choice of trimming proportion in trimmed least-squares estimation
Statistics and Probability Letters, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yadolah Dodge, Jana Jurečková
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A robust weighted least squares support vector regression based on least trimmed squares
Neurocomputing, 2015In order to improve the robustness of the classcial LSSVM when dealing with sample points in the presence of outliers, we have developed a robust weighted LSSVM (reweighted LSSVM) based on the least trimmed squares technique (LTS). The procedure of the reweighted LSSVM includes two stages, respectively used to increase the robustness and statistical ...
Chuanfa Chen, Changqing Yan
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Multivariate least-trimmed squares regression estimator
Computational Statistics and Data Analysis, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Statistics and Probability Letters, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sparse Principal Component Analysis Based on Least Trimmed Squares
Technometrics, 2019Sparse principal component analysis (PCA) is used to obtain stable and interpretable principal components (PCs) from high-dimensional data.
Yixin Wang, Stefan Van Aelst
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Application of the least trimmed squares technique to prototype-based clustering
Pattern Recognition Letters, 1996Prototype-based clustering algorithms such as the K-means and the Fuzzy C-Means algorithms are sensitive to noise and outliers. This paper shows how the Least Trimmed Squares technique can be incorporated into prototype-based clustering algorithms to make them robust.
Raghu Krishnapuram, Rajesh Dave
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International Conference on Information Processing and Management of Uncertainty, 2018
We look at different approaches to learning the weights of the weighted arithmetic mean such that the median residual or sum of the smallest half of squared residuals is minimized. The more general problem of multivariate regression has been well studied in statistical literature, however in the case of aggregation functions we have the restriction on ...
Gleb Beliakov +2 more
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We look at different approaches to learning the weights of the weighted arithmetic mean such that the median residual or sum of the smallest half of squared residuals is minimized. The more general problem of multivariate regression has been well studied in statistical literature, however in the case of aggregation functions we have the restriction on ...
Gleb Beliakov +2 more
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Low-overlap point cloud registration algorithm based on variable-length least trimmed squares
Other Conferences, 2023Point cloud registration is a key technology in point cloud processing, aiming to align two point clouds by estimating the optimal rigid transformation matrix.
Guangyuan Liu, Aijun Zhang
semanticscholar +1 more source

