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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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Multiple Isotonic Median Regression
The Annals of Statistics, 1973 We consider the partial order on the unit square; $s_1 = (x_1, y_1) \ll s_2 = (x_2, y_2)$ if and only if $x_i \leqq y_i$ for $i = 1, 2$, and say that a real-valued function $f$ is isotone if $s_1 \ll s_2$ implies that $f(s_1) \leqq f(s_2)$. Suppose that for each point, $s$, in the unit square we have a distribution with median $m(s)$ and $m(s)$ is ...
Robertson, Tim, Wright, F. T.
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, 2022 Neural Information Processing Systems (NeurIPS ...
Ghazi, Badih +3 more
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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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Generalized Isotonic Regression [PDF]
Journal of Computational and Graphical Statistics, 2014 Minor changes. Final version.
Luss, Ronny, Rosset, Saharon
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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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Tests for Trends in Binary Response [PDF]
, 1998 Tests for trend in binary response are especially important when analyzing animal experiments where the response in various dose--groups is of interest. Among the nonparametric tests the approach of Cochran and Armitage is the one which is most commonly ...
Becker, Ursula +2 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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Multidimensional isotonic regression and estimation of the threshold value [PDF]
, 2001 No abstract ...
Salanti, G., Ulm, Kurt
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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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