Bernstein Polynomial-Based Method for Solving Optimal Trajectory Generation Problems [PDF]
Sensors, 2022 This paper presents a method for the generation of trajectories for autonomous system operations. The proposed method is based on the use of Bernstein polynomial approximations to transcribe infinite dimensional optimization problems into nonlinear ...
Calvin Kielas-Jensen +5 more
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The Trigonometric Polynomial Like Bernstein Polynomial [PDF]
The Scientific World Journal, 2014 A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed.
Xuli Han
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Consistency of Approximation of Bernstein Polynomial-Based Direct Methods for Optimal Control
Machines, 2022 Bernstein polynomial approximation of continuous function has a slower rate of convergence compared to other approximation methods. “The fact seems to have precluded any numerical application of Bernstein polynomials from having been made.
Venanzio Cichella +4 more
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Semi-Parametric Estimation Using Bernstein Polynomial and a Finite Gaussian Mixture Model [PDF]
Entropy, 2022 The central focus of this paper is upon the alleviation of the boundary problem when the probability density function has a bounded support. Mixtures of beta densities have led to different methods of density estimation for data assumed to have compact ...
Salima Helali +2 more
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IET Image Processing, 2021 A new two‐dimensional chaotic system in the form of a cascade structure is designed, which is derived from the Chebyshev system and the infinite collapse system.
Donghua Jiang +3 more
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On nonparametric estimating ROC curve based on non-uniform rational B-spline. [PDF]
PLoS ONEThe receiver operating characteristic (ROC) curve is a commonly used statistical method to assess the efficacy of a diagnostic test or biomarker measured on a continuous scale. This work presents a versatile approach using a non-uniform rational B-spline
Mahmut Sami Erdoğan
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Short-Term Density Forecasting of Low-Voltage Load Using Bernstein-Polynomial Normalizing Flows [PDF]
IEEE Transactions on Smart Grid, 2022 The transition to a fully renewable energy grid requires better forecasting of demand at the low-voltage level to increase efficiency and ensure reliable control.
Marcel Arpogaus +4 more
semanticscholar +1 more source
The Stability Analysis of Linear Systems with Cauchy—Polynomial-Vandermonde Matrices
Axioms, 2023 The numerical approximation of both eigenvalues and singular values corresponding to a class of totally positive Bernstein–Vandermonde matrices, Bernstein–Bezoutian structured matrices, Cauchy—polynomial-Vandermonde structured matrices, and quasi ...
Mutti-Ur Rehman +3 more
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Use of Bernstein Polynomial in Numerical Solution of Nonlinear Fred Holm Integral Equation [PDF]
Engineering and Technology Journal, 2011 In this paper, Bernstein polynomials with different degree has been used to approximate the solution of nonlinear Fredholm integral equations. A comparison between the different degree of Bernstein polynomials has been made depending on absolute error ...
Khawla A .AL-Zubaidy, Muna M. Mustafa
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Efficient Multi-Agent Trajectory Planning with Feasibility Guarantee using Relative Bernstein Polynomial [PDF]
IEEE International Conference on Robotics and Automation, 2019 This paper presents a new efficient algorithm which guarantees a solution for a class of multi-agent trajectory planning problems in obstacle-dense environments.
Jungwon Park +3 more
semanticscholar +1 more source