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Comparative analysis of parametric Lorenz curves and alternative convex models with isotonic regression for estimating the Lorenz curve [PDF]
Journal of Mahani Mathematical ResearchThis study develops a systematic comparative framework for estimating Lorenz curves and Gini coefficients, addressing key methodological gaps in measuring income inequality.
Zahra Behdani
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Monotone Regression: A Simple and Fast O(n) PAVA Implementation
Journal of Statistical Software, 2022 Efficient coding and improvements in the execution order of the up-and-down-blocks algorithm for monotone or isotonic regression leads to a significant increase in speed as well as a short and simple O(n) implementation.
Frank M. T. A. Busing
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Isotonic regression and isotonic projection
Linear Algebra and its Applications, 2016 The note describes the cones in the Euclidean space admitting isotonic metric projection with respect to the coordinate-wise ordering. As a consequence it is showed that the metric projection onto the regression cone (the cone defined by the general isotonic regression problem) admits a projection which is isotonic with respect to the coordinate-wise ...
Németh, A. B., Németh, S. Z.
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BN parameter learning based on improved QMAP algorithm under small data set conditions
Xi'an Gongcheng Daxue xuebao, 2023 Under the condition of Bayesian network (BN) small data set, the qualitative maximum a posteriori (QMAP) estimation tends to violate expert constraints, which causes the QMAP estimation to deviate the true value.
CHEN Haiyang +3 more
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A dual active set algorithm for optimal sparse convex regression
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 The shape-constrained problems in statistics have attracted much attention in recent decades. One of them is the task of finding the best fitting monotone regression. The problem of constructing monotone regression (also called isotonic regression) is to
Aleksandr A. Gudkov +3 more
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LASSO Isotone for High-Dimensional Additive Isotonic Regression [PDF]
Journal of Computational and Graphical Statistics, 2012 Additive isotonic regression attempts to determine the relationship between a multi-dimensional observation variable and a response, under the constraint that the estimate is the additive sum of univariate component effects that are monotonically increasing. In this article, we present a new method for such regression called LASSO Isotone (LISO).
Fang, Z, Meinshausen, N
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A geometrical approach to Iterative Isotone Regression [PDF]
Applied Mathematics and Computation, 2014 25 pages, 5 ...
Arnaud Guyader +3 more
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Water Science and Technology, 2023 Crop evapotranspiration is essential for planning and designing an efficient irrigation system. The present investigation assessed the capability of four machine learning algorithms, namely, XGBoost linear regression (XGBoost Linear), XGBoost Ensemble ...
Jitendra Rajput +6 more
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Optimal Reduced Isotonic Regression
CoRR, 2014 Isotonic regression is a shape-constrained nonparametric regression in which the regression is an increasing step function. For $n$ data points, the number of steps in the isotonic regression may be as large as $n$. As a result, standard isotonic regression has been criticized as overfitting the data or making the representation too complicated.
Janis Hardwick, Quentin F. Stout
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Bayesian Isotonic Regression and Trend Analysis [PDF]
Biometrics, 2004 Summary. In many applications, the mean of a response variable can be assumed to be a nondecreasing function of a continuous predictor, controlling for covariates. In such cases, interest often focuses on estimating the regression function, while also assessing evidence of an association.
Neelon, Brian, Dunson, David B.
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