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Parallel tangent methods with variable stepsize

2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541), 2005
The most widely used algorithm for training multilayer feedforward neural networks is backpropagation. Back-propagation is an iterative gradient descent algorithm. Since its appearance, various methods which modify the conventional BP have been created to improve its efficiency. One such algorithm which uses an adaptive learning rate is backpropagation
Y.G. Petalas, M.N. Vrahatis
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A Time-Reversible Variable-Stepsize Integrator for Constrained Dynamics

SIAM Journal on Scientific Computing, 1999
The main results of the paper are the design and implementation of variable-stepsize methods for the time-discretization of constrained Euler-Lagrange equations faithful to symplectic and time-reversal symmetry structures of the equations. Symplectic structures are first explored because of the fact that classical equations of motion can be put in ...
Barth, Eric   +2 more
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On the Stability of Variable-Stepsize Nordsieck BDF Methods

SIAM Journal on Numerical Analysis, 1987
Die Verf. studieren die asymptotische Stabilität der rückwärts genommenen Differentiationsformeln in Nordsieck-Form auf nichtäquidistanten Gittern. Bei einem Wechsel der Schrittweite wird die Nordsiecksche Interpolationstechnik verwandt. Damit sind bei der Stabilitätsanalyse die Normen der Produkte der sich mit dem Schrittweitenwechsel ebenfalls ...
Calvo, M., Lisbona, F., Montijano, J.
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Variable stepsize in Cowell's method

BIT, 1989
The author proposes a formula which is intended to facilitate fourth order piecewise constant step size implementation of Cowell's method.
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Stability of variable and random stepsize LMS

1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002
The stability of variable stepsize LMS (VSLMS) algorithms with uncorrelated stationary Gaussian data is studied. It is found that when the stepsize is determined by the past data, the boundedness of the step size by the usual stability condition of fixed stepsize LMS is sufficient for the stability of VSLMS.
S.B. Gelfand   +2 more
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Variable-stepsize Runge–Kutta methods for stochastic Schrödinger equations

Physics Letters A, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wilkie, Joshua, Çetinbaş, Murat
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Time-transformations for reversible variable stepsize integration

Numerical Algorithms, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bond, Stephen D.   +1 more
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Reversible Long-Term Integration with Variable Stepsizes

SIAM Journal on Scientific Computing, 1997
The problem \(y'=f(y)\), \(y(0)=y_0\) is called \(\rho\)-reversible \((\rho\) is an invertible linear transformation in the phase space) if for all \(y\) the equation \(f(\rho y)= -\rho f(y)\) holds. Some Hamiltonian systems belong to this category.
Hairer, Ernst, Stoffer, Daniel
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Supplement to Construction of Variable-Stepsize Multistep Formulas

Mathematics of Computation, 1986
Supplement to the author's paper in ibid. 47, 503-510 (1986; reviewed above).
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Variable order and stepsize in general linear methods

Numerical Algorithms, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad, Saghir   +2 more
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