Results 21 to 30 of about 2,575,606 (330)
Sensitivity Analysis of Compressive Sensing Solutions
Frontiers in Robotics and AI, 2015 The compressive sensing framework □nds a wide range of applications in signal processing, data analysis and fusion. Within this framework, various methods have been proposed to □nd a sparse solution x from a linear measurement model y = Ax.
Liyi eDai
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Optimization of a fractional Mayer problem - existence of solutions, maximum principle, gradient methods [PDF]
Opuscula Mathematica, 2014 In the paper, we study a linear-quadratic optimal control problem of Mayer type given by a fractional control system. First, we prove a theorem on the existence of a solution to such a problem. Next, using the local implicit function theorem, we derive a
Dariusz Idczak, Stanislaw Walczak
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Robust Algorithm Software for NACA 4-Digit Airfoil Shape Optimization Using the Adjoint Method
Applied Sciences, 2023 Optimizing the aerodynamic shape of an airfoil is a critical concern in the aviation industry. The introduction of flexible airfoils has allowed the shape of the airfoil to vary, depending on the flight conditions. Therefore, in this study, we propose an
Naser Tanabi +3 more
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Numerical Study of a Particle Method for Gradient Flows [PDF]
, 2016 We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles.
Carrillo, J. A. +3 more
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String Method for Generalized Gradient Flows: Computation of Rare Events in Reversible Stochastic Processes [PDF]
, 2019 Rare transitions in stochastic processes can often be rigorously described via an underlying large deviation principle. Recent breakthroughs in the classification of reversible stochastic processes as gradient flows have led to a connection of large ...
Grafke, Tobias
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Mathematical and Computational Applications, 2018 We solve numerically a forest management optimization problem governed by a nonlinear partial differential equation (PDE), which is a size-structured population model.
Johanna Pyy +3 more
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Proximal Gradient Method for Solving Bilevel Optimization Problems
Mathematical and Computational Applications, 2020 In this paper, we consider a bilevel optimization problem as a task of finding the optimum of the upper-level problem subject to the solution set of the split feasibility problem of fixed point problems and optimization problems.
Seifu Endris Yimer +2 more
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Optimal strategy for removal of greenhouse gas in the atmosphere to avert global climate crisis
Electronic Research Archive, 2023 In this paper, we propose a space-time dynamic model for describing the temporal evolution of greenhouse gas concentration in the atmosphere. We use this dynamic model to develop an optimal control strategy for reduction of atmospheric pollutants.
N. U. Ahmed , Saroj Biswas
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The Gradient Discretisation Method [PDF]
, 2018 This monograph is dedicated to the presentation of the gradient discretisation method (GDM) and to some of its applications. It is intended for masters students, researchers and experts in the field of the numerical analysis of partial differential equations.The GDM is a framework which contains classical and recent discretisation schemes for diffusion
Droniou, Jérôme +4 more
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Accelerating Incremental Gradient Optimization with Curvature Information
, 2020 This paper studies an acceleration technique for incremental aggregated gradient ({\sf IAG}) method through the use of \emph{curvature} information for solving strongly convex finite sum optimization problems.
Nedich, Angelia +4 more
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