Friday, December 4, 2015

Complex-Valued Neural Networks: Utilizing High-Dimensional Consider two tangent vectors

[PDF]Transformation Invariance in Pattern Recognition - Tangent ...
yann.lecun.com/exdb/publis/pdf/simard-00.pdf
Yann LeCun
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by PY Simardi - ‎Related articles
we introduce the concept of tangent vectors, which compactly represent ..... of tangent vectors in neural network, with the tangent propagation algorithm. The last ...

Neural Networks: Tricks of the Trade - Page 259 - Google Books Result

https://books.google.com/books?isbn=3642352898
Grégoire Montavon, ‎Geneviève Orr, ‎Klaus-Robert Müller - 2012 - ‎Computers
If the network does not have enough capacity, it will not benefit from the extra knowledge introduced by the invariance. Interleaving of the Tangent Vectors: Since ...

Industrial Applications of Neural Networks

https://books.google.com/books?isbn=0849398029
Lakhmi C. Jain, ‎V. Rao Vemuri - 1998 - ‎Computers
Tangent. Vectors. Along. Shape. Boundary. A constant number of sample points that ... the shape of the boundary is necessary for input to the neural network.

Neural Networks - Ufldl

ufldl.stanford.edu/wiki/index.php/Neural_Networks
Apr 6, 2013 - Neural networks give a way of defining a complex, non-linear form of ... noting that another common choice for f is the hyperbolic tangent, or tanh, function: ... to apply to vectors in an element-wise fashion (i.e., f([z1,z2,z3]) ...

[PDF]arXiv:1502.04434v2 [stat.ML] 2 Nov 2015

arxiv.org/pdf/1502.04434
arXiv
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by S Demyanov - ‎2015 - ‎Cited by 1 - ‎Related articles
algorithm that trains a neural network to be robust to variations and noise in the ..... because the standard BP iteration must be repeated for each tangent vector.

Activation function - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Activation_function
Wikipedia
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This is similar to the behavior of the linear perceptron in neural networks. ... is a sigmoidal activation function in the form of a hyperbolic tangent. ... Support vector machines (SVMs) can effectively utilize a class of activation functions that ...

[PDF]Adaptation in statistical pattern recognition using tangent ...

https://www-i6.informatik.rwth-aachen.de/.../K...
RWTH Aachen University
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by D Keysers - ‎2004 - ‎Cited by 62 - ‎Related articles
Index Terms—Statistical pattern recognition, adaptation, tangent vectors, linear models. ж ..... C.M. Bishop, Neural Networks for Pattern Recognition. Oxford Univ.

Mathematics of Neural Networks: Models, Algorithms and ...

https://books.google.com/books?isbn=1461560993
Stephen W. Ellacott, ‎John C. Mason, ‎Iain J. Anderson - 2012 - ‎Computers
3.1 Local Orientation Extraction A simple and robust estimate of the tangent vector at a point is the dominant eigenvector of the covariance matrix of a square ...

Neural Networks for Pattern Recognition

https://books.google.com/books?isbn=0198538642
Christopher M. Bishop - 1995 - ‎Computers
Let the vector which results from acting on xn by this transformation be denoted by s(a,xn) which is defined so that s(0, xn) = xn. Then the tangent to the curve M ...

Complex-Valued Neural Networks: Utilizing High-Dimensional ...

https://books.google.com/books?isbn=1605662151
Nitta, Tohru - 2009 - ‎Computers
Consider two tangent vectors e = X.c. a0 i=1 – 6 - f - - and e' =X.c' 60 We define the inner product of two tangent vectors e and e” as (e.e) =X.ccg, by Fisher ...

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