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712
H Hessian matrix
"... This paper presents the development of a frequency response sensitivity function that is applied to the determination of a state space coupled rotorfuselage helicopter flight dynamics model using frequency domain system identification. The new function exposes the frequencydependent sensitivity o ..."
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the frequency response sensitivity function are introduced that substantially reduce the computational cost of the solution. Simulated flight test data are used to validate a direct state space matrix identification process incorporating the frequency response sensitivity function. Results demonstrate
Centerline Extraction Based on Hessian Matrix
"... Abstract: Virtual endoscopy, which is a noninvasive procedure for detecting anomalies inside human organs, is meaningful for medical diagnosis and surgery. In order to perform an accurate navigation, the centerline of the model must be extracted. In this paper, a new centerline extraction algorithm ..."
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based on Hessian Matrix is proposed. First, the distance transformation is performed. Then the initial path is obtained by computing the eigenvalues and eigenvectors of the Hessian matrix. After that, the visibility test with an adaptive visibility sphere radius, which is determined by the eigenvalues
Discrete Hessian Matrix for Lconvex Functions
, 2004
"... Lconvex functions are nonlinear discrete functions on integer points that are computationally tractable in optimization. In this paper, a discrete Hessian matrix and a local quadratic expansion are defined for Lconvex functions. We characterize Lconvex functions in terms of the discrete Hessian m ..."
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Cited by 2 (1 self)
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Lconvex functions are nonlinear discrete functions on integer points that are computationally tractable in optimization. In this paper, a discrete Hessian matrix and a local quadratic expansion are defined for Lconvex functions. We characterize Lconvex functions in terms of the discrete Hessian
Exploiting Eigenvalues of the Hessian Matrix for Volume Decimation
"... In recent years the Hessian matrix and its eigenvalues became important in pattern recognition. Several algorithms based on the information they provide have been introduced. We recall the relationship between the eigenvalues of Hessian matrix and the 2nd order edge detection lter, show the usefu ..."
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Cited by 8 (2 self)
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In recent years the Hessian matrix and its eigenvalues became important in pattern recognition. Several algorithms based on the information they provide have been introduced. We recall the relationship between the eigenvalues of Hessian matrix and the 2nd order edge detection lter, show
Hidden Layer Training via Hessian Matrix Information
"... The output weight optimizationhidden weight optimization (OWOHWO) algorithm for training the multilayer perceptron alternately updates the output weights and the hidden weights. This layerbylayer training strategy greatly improves convergence speed. However, in HWO, the desired net function actu ..."
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actually evolves in the gradient direction, which inevitably reduces efficiency. In this paper, two improvements to the OWOHWO algorithm are presented. New desired net functions are proposed for hidden layer training, which use Hessian matrix information rather than gradients. A weighted hidden layer
Second Order Backpropagation  Efficient Computation of the Hessian Matrix for Neural Networks
, 1993
"... Traditional learning methods for neural networks use some kind of gradient descent in order to determine the network's weights for a given task. Some second order learning algorithms deal with a quadratic approximation of the error function determined from the calculation of the Hessian matrix, ..."
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Cited by 1 (1 self)
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Traditional learning methods for neural networks use some kind of gradient descent in order to determine the network's weights for a given task. Some second order learning algorithms deal with a quadratic approximation of the error function determined from the calculation of the Hessian matrix
Secondorder backpropagation algorithms for a stagewisepartitioned separable Hessian matrix
 IN PROC. OF 2005 INT’L JOINT CONF. ON NEURAL NETWORKS (SEE WWW.IEOR.BERKELEY.EDU/PEOPLE/FACULTY/DREYFUSPUBS/IJCNNESJ05.PDF
, 2005
"... Recent advances in computer technology allow the implementation of some important methods that were assigned lower priority in the past due to their computational burdens. Secondorder backpropagation (BP) is such a method that computes the exact Hessian matrix of a given objective function. We des ..."
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Cited by 6 (4 self)
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Recent advances in computer technology allow the implementation of some important methods that were assigned lower priority in the past due to their computational burdens. Secondorder backpropagation (BP) is such a method that computes the exact Hessian matrix of a given objective function. We
Exact Calculation of the Product of the Hessian Matrix of FeedForward Network Error Functions and a Vector in O(N) Time
"... Several methods for training feedforward neural networks require second order information from the Hessian matrix of the error function. Although it is possible to calculate the Hessian matrix exactly it is often not desirable because of the computation and memory requirements involved. Some learni ..."
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Cited by 4 (0 self)
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Several methods for training feedforward neural networks require second order information from the Hessian matrix of the error function. Although it is possible to calculate the Hessian matrix exactly it is often not desirable because of the computation and memory requirements involved. Some
Results 1  10
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712