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Keywords: local minima
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Journal Article
Brain-inspired chaotic spiking backpropagation
Zijian Wang and others
National Science Review, Volume 11, Issue 6, June 2024, nwae037, https://doi.org/10.1093/nsr/nwae037
Published: 30 January 2024
... neural networks (SNNs) have superior energy efficiency due to their spiking signal transmission, which mimics biological nervous systems, but they are difficult to train effectively. Although surrogate gradient-based methods offer a workable solution, trained SNNs frequently fall into local minima...
Journal Article
Local Minima in Cross-Validation Functions
Peter Hall and J. S. Marron
Journal of the Royal Statistical Society: Series B (Methodological), Volume 53, Issue 1, September 1991, Pages 245–252, https://doi.org/10.1111/j.2517-6161.1991.tb01822.x
Published: 05 December 2018
...Peter Hall; J. S. Marron Address for correspondence: Department of Statistics, Australian National University, GPO Box 4, Canberra, ACT 2601, Australia. J. R. Statist. Soc. B (1991) 53, No. I, pp. 245-252 Local Minima in Cross-validation Functions By PETER HALL rand J. S. MARRON Brown...
Journal Article
Parameter estimation in stock assessment modelling: caveats with gradient-based algorithms
Sam Subbey
ICES Journal of Marine Science, Volume 75, Issue 5, September-October 2018, Pages 1553–1559, https://doi.org/10.1093/icesjms/fsy044
Published: 18 April 2018
... science, where blind faith is being invested in results obtained from algorithms that are fast, and proven to have machine precision. automatic differentiation (AD) global optimum Hessian likelihood local minima objective function optimization parameters positive definite...
Journal Article
Sufficiency and singularity in optimal control
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Javier F. Rosenblueth and Gerardo Sánchez Licea
IMA Journal of Mathematical Control and Information, Volume 30, Issue 1, March 2013, Pages 37–65, https://doi.org/10.1093/imamci/dns011
Published: 15 July 2012
..., originally posed for the problem of Bolza in
the calculus of variations.
Keywords: optimal control; sufficient conditions for optimality; local minima; singularity; strengthened
Legendre–Clebsch condition; equality constraints.
1. Introduction
In the classical calculus of variations...
Journal Article
The Critical Grid Size and Transmission Radius for Local-Minimum-Free Grid Routing in Wireless Ad Hoc and Sensor Networks
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Chih-Wei Yi and others
The Computer Journal, Volume 53, Issue 10, December 2010, Pages 1621–1631, https://doi.org/10.1093/comjnl/bxq030
Published: 26 March 2010
... cell, packets can be transmitted directly; otherwise, packets are forwarded to routing neighbors that are in cells closer to destination cells. As a greedy strategy, grid routing suffers the existence of local minima at which no neighbor nodes exist for relaying packets. To guarantee deliverability...
Journal Article
Sufficiency by a direct method in the variable state problem of calculus of variations: singular extremals
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Gerardo Sánchez Licea
IMA Journal of Mathematical Control and Information, Volume 26, Issue 3, September 2009, Pages 257–279, https://doi.org/10.1093/imamci/dnp009
Published: 08 June 2009
.... Moreover, we also study the non-parametric variable state problem of Bolza and derive sufficient conditions for singular and non-singular extremals for weak and strong local minima. calculus of variations singular extremals strengthened condition of Weierstrass sufficiency for local minima IMA Journal...
Journal Article
Weakening the strengthened condition of Weierstrass for the isoperimetric problem in the calculus of variations
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Gerardo Sánchez Licea
IMA Journal of Mathematical Control and Information, Volume 25, Issue 1, March 2008, Pages 59–74, https://doi.org/10.1093/imamci/dnm005
Published: 10 March 2007
... condition of Weierstrass sufficiency for local minima 21 3 2006 3 1 2007 IMA Journal of Mathematical Control and Information (2008) 25, 59 74
doi:10.1093/imamci/dnm005 −
Advance Access publication on March 10, 2007
Weakening the strengthened condition...
Journal Article
Strengthening Weierstrass’ condition
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Javier F. Rosenblueth and Gerardo Sánchez Licea
IMA Journal of Mathematical Control and Information, Volume 21, Issue 3, September 2004, Pages 275–294, https://doi.org/10.1093/imamci/21.3.275
Published: 01 September 2004
...Javier F. Rosenblueth; Gerardo Sánchez Licea calculus of variations; sufficiency for local minima; Weierstrass and Legendre's strengthened conditions; singular extremals Received 4 June 2003. Institute of Mathematics and its Applications 2004 2004 Abstract Sufficiency for strong local...
Chapter
Spatial Interaction
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Norman I Badler and others
Published: 02 September 1993
.... It focuses the user’s attention on the object, and gives the user the impression of manipulating the object itself. balance collision avoidance dynamics energy constraints icons jacks kinesthetic feedback local minima mouse line This chapter describes the basic architecture of the Jack ...
Chapter
Feed Forward Neural Networks
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Lionel Raff and others
Published: 16 February 2012
... input, goes into a transfer function f, which produces the scalar neuron output a. Back Propagation Data Preprocessing Extrapolation Generalization Hidden Layer Interpolation Local Minima Mean Square Error NN Training Overfitting In this section, we want to give a brief introduction to neural...
Chapter
Body Modeling
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Norman I Badler and others
Published: 02 September 1993
... draping flexible figures globographic limits human factors analysis individual database joint centers local minima In order to manipulate and animate a human figure with computer graphics, a suitable figure must be modeled . This entails constructing a satisfactory surface skin...
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