The Problem of Minimax Estimation of Functionals for Non-Stationary Diffusion Processes
Purpose. To model the technological process of analysis of energy sources that use random interference, it is necessary to apply special methods from the theory of minimax estimation and optimal control.
T. F. Mykchailova, Y. A. Maksymenkova
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Minimax Approach for Semivariogram Fitting in Ordinary Kriging
This research paper aims to analyze the minimax approach used in the semivariogram fitting process that forms one stage of the kriging operation performed for interpolation.
Andie Setiyoko +2 more
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Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian
This paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems ...
Xiaoyan Shi, Yulin Zhao, Haibo Chen
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Multiple periodic solutions for second order Josephson-type differential systems
In this paper, some new existence theorems are obtained for multiple periodic solutions of second order Josephson-type differential systems with partially periodic potential by using the minimax methods in critical point theory, which generalize and ...
Shengui Zhang
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Robust Intensity Modulated Proton Therapy (IMPT) Increases Estimated Clinical Benefit in Head and Neck Cancer Patients. [PDF]
PURPOSE:To compare the clinical benefit of robust optimized Intensity Modulated Proton Therapy (minimax IMPT) with current photon Intensity Modulated Radiation Therapy (IMRT) and PTV-based IMPT for head and neck cancer (HNC) patients.
Lisanne V van Dijk +6 more
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Optimal, minimax and admissible two-stage design for phase II oncology clinical trials
Background The article aims to compare the efficiency of minimax, optimal and admissible criteria in Simon’s and Fleming’s two-stage design. Methods Three parameter settings (p 1-p 0 = 0.25–0.05, 0.30–0.10, 0.50–0.30) are designed to compare the maximum ...
Fei Qin +7 more
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Adaptive Local Minimax Galerkin Methods for Variational Problems [PDF]
In many applications of practical interest, solutions of partial differential equation models arise as critical points of an underlying (energy) functional. If such solutions are saddle points, rather than being maxima or minima, then the theoretical framework is non-standard, and the development of suitable numerical approximation procedures turns out
Pascal Heid, Thomas P. Wihler
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Minimax Normal Two-Armed Bandit with Indefinite Control Horizon
We consider the two-armed bandit problem as applied to data processing if there are two alternative processing methods available with different a priori unknown efficiencies.
Kolnogorov Alexander
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Minimax and admissible adaptive two-stage designs in phase II clinical trials
Background Simon’s two-stage design is the most widely implemented among multi-stage designs in phase II clinical trials to assess the activity of a new treatment in a single-arm study.
Guogen Shan, Hua Zhang, Tao Jiang
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A Spline Smoothing Newton Method for Semi-Infinite Minimax Problems
Based on discretization methods for solving semi-infinite programming problems, this paper presents a spline smoothing Newton method for semi-infinite minimax problems. The spline smoothing technique uses a smooth cubic spline instead of max function and
Li Dong, Bo Yu, Yu Xiao
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