Approximation, characterization, and continuity of multivariate monotonic regression functions
DOI10.1142/S0219530521500299OpenAlexW3083110744MaRDI QIDQ5083440
Publication date: 20 June 2022
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.02317
isotonic regressiongeneralized isotonic regressioninformed machine learning under monotonicity constraintsmultivariate monotonic functions on continuous (non-discrete) domains
Linear inference, regression (62J99) Statistics (62-XX) Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Knowledge representation (68T30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Algorithms for approximation of functions (65D15) Continuity and differentiation questions (26B05)
Cites Work
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- A simple nonparametric estimator of a strictly monotone regression function
- Generalized continuous isotonic regression
- Incorporating prior knowledge in support vector regression
- An algorithm for isotonic regression for two or more independent variables
- Estimating a smooth monotone regression function
- Least squares isotonic regression in two dimensions
- A general projection framework for constrained smoothing.
- Nonparametric shape-restricted regression
- Nonparametric kernel regression subject to monotonicity constraints
- Isotonic regression via partitioning
- Isotonic regression in general dimensions
- Isotonic regression for multiple independent variables
- Monotone spectral density estimation
- Bayesian monotone regression using Gaussian process projection
- Nonparametric Estimation under Shape Constraints
- RELIABLE INTEGRATION OF CONTINUOUS CONSTRAINTS INTO EXTREME LEARNING MACHINES
- An Algorithm for Restricted Least Squares Regression
- Improving point and interval estimators of monotone functions by rearrangement
- Establishing Consistent and Realistic Reorder Intervals in Production-Distribution Systems
- An Introduction to Banach Space Theory
- Minimizing a Convex Cost Closure Set
- Strictly monotone and smooth nonparametric regression for two or more variables
- Measure Theory
- Convex Analysis
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