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GRADIENT-BASED METHODS FOR SPARSE RECOVERY ∗

by William W. Hager, Dzung T. Phan, Hongchao Zhang
"... ar ..."
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MULTILEVEL GRADIENT-BASED METHODS IN AERODYNAMIC SHAPE DESIGN

by Gabriel Caloz, Monique Dauge, Massimiliano Martinelli, Francois Beux
"... Abstract. A gradient-based method coupled with a multilevel approach is proposed for shape design in aerodynamics. This method extends an existing multilevel gradient-based formulation to another type of control subspaces, i.e. considering another set of subparametrisations and prolongation op-erato ..."
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Abstract. A gradient-based method coupled with a multilevel approach is proposed for shape design in aerodynamics. This method extends an existing multilevel gradient-based formulation to another type of control subspaces, i.e. considering another set of subparametrisations and prolongation op

AERODYNAMIC OPTIMIZATION OF AN AIRFOIL USING GRADIENT BASED METHOD

by P. Wesseling, E. Oñate, J. Périaux (eds, Masoud Mirzaei, Jafar Roshanian, Seyeded Nasrin Hosseini
"... Abstract. A gradient based method is presented for optimization of an airfoil configuration. The flow is governed by two dimensional, compressible Euler equations. A finite volume code based on unstructured grid is developed to solve the equations. The procedure is carried out for optimizing an airf ..."
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Abstract. A gradient based method is presented for optimization of an airfoil configuration. The flow is governed by two dimensional, compressible Euler equations. A finite volume code based on unstructured grid is developed to solve the equations. The procedure is carried out for optimizing

Optical flow estimation: an error analysis of gradient-based methods with local optimization

by Joseph K. Kearney, William B. Thompson, Daniel, L. Boley - IEEE Trans. PAMI , 1987
"... Abstract-Multiple views of a scene can provide important information about the structure and dynamic behavior of three-dimensional objects. Many of the methods that recover this information require the determination of optical flow-the velocity, on the image, of visible points on object surfaces. An ..."
Abstract - Cited by 91 (1 self) - Add to MetaCart
. An important class of techniques for estimating optical flow depend on the relationship between the gradients of image brightness. While gradient-based methods have been widely studied, little attention has been paid to accuracy and reliability of the approach. Gradient-based methods are sensitive

Gradient-based Methods for Production Optimization of Oil Reservoirs

by Eka Suwartadi
"... Printed by NTNU-TrykkTo my wife and my parents ..."
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Printed by NTNU-TrykkTo my wife and my parents

Sparse Inverse Covariance Estimation via an Adaptive Gradient-Based Method

by Suvrit Sra, Dongmin Kim , 2010
"... We study the problem of estimating from data, a sparse approximation to the inverse covariance matrix. Estimating a sparsity constrained inverse covariance matrix is a key component in Gaussian graphical model learning, but one that is numerically very challenging. We address this challenge by devel ..."
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by developing a new adaptive gradient-based method that carefully combines gradient information with an adaptive step-scaling strategy, which results in a scalable, highly competitive method. Our algorithm, like its predecessors, maximizes an `1-norm penalized log-likelihood and has the same per iteration

Error Sources and Error Reduction in Gradient-Based Method with Local Optirnizat ion

by Lin Zhang, Hidetoshi Miike
"... The purpose of this study is to establish the technique for estimating optical flow with high accuracy and robustness using gradient-based method with local optimization. To obtain high accuracy, we should understand error sources and how to reduce the errors. We proposed error reduction techniques ..."
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The purpose of this study is to establish the technique for estimating optical flow with high accuracy and robustness using gradient-based method with local optimization. To obtain high accuracy, we should understand error sources and how to reduce the errors. We proposed error reduction techniques

MULTI-LEVEL GRADIENT-BASED METHODS AND PARAMETRISATION IN AERODYNAMIC SHAPE DESIGN

by M. Martinelli, F. Beux
"... ABSTRACT. The present study focuses on multi-level approaches in the context of discrete gradient-based methods for aerodynamic shape design. More precisely, the minimisation is done alternatively on different control subspaces according to multigrid-like cycles, providing at each sub-level a partic ..."
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ABSTRACT. The present study focuses on multi-level approaches in the context of discrete gradient-based methods for aerodynamic shape design. More precisely, the minimisation is done alternatively on different control subspaces according to multigrid-like cycles, providing at each sub-level a

Gradient Based Methods for Non-Smooth Regularization Via Convolution Smoothing

by Sergey Voronin, Davis Yoshida , 2014
"... We present a smoothing technique which allows for the use of gradient based methods (such as steepest descent and conjugate gradients) for non-smooth regularization of inverse problems. As an application of this technique, we consider the problem of finding regularized solutions of linear systems Ax ..."
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We present a smoothing technique which allows for the use of gradient based methods (such as steepest descent and conjugate gradients) for non-smooth regularization of inverse problems. As an application of this technique, we consider the problem of finding regularized solutions of linear systems

Parallelization of Conjugate-Gradient Based Methods on GPU

by Ana Flávia, Peixoto Camargos, Viviane Cristine Silva
"... We present a performance analysis of a parallel implementation the conjugate gradient (CG), biconjugate gradient (BiCG) and conjugate residual (CR). These solvers using graphic processing units with CUDA parallel programming model. The solvers were optimized for a fast solution of sparse systems of ..."
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We present a performance analysis of a parallel implementation the conjugate gradient (CG), biconjugate gradient (BiCG) and conjugate residual (CR). These solvers using graphic processing units with CUDA parallel programming model. The solvers were optimized for a fast solution of sparse systems
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