Using this information, the algorithm adjusts the weights of each connection in order to reduce the value of the error function by some small amount.
32.
When the error function to be used is Kullback Leibler divergence, NMF is identical to the Probabilistic latent semantic analysis, a popular document clustering method.
33.
Many cumulative distribution functions cannot be expressed in closed form, unless one considers special functions such as the error function or gamma function to be well known.
34.
Other typical problems of the back-propagation algorithm are the speed of convergence and the possibility of ending up in a local minimum of the error function.
35.
:: : In which case the unfortunate answer is that you have to use the inverse error function, which is not calculable in terms of elementary functions.
36.
As an example, the Gaussian function is integrated from 0 to 1, i . e . the error function erf ( 1 ) H " 0.842700792949715.
37.
Since, for example, the gradient of the error function becomes very small in flat plateaus, it would immediately lead to a " deceleration " of the gradient descent.
38.
I'm trying to solve this using Green's function, extended to the infinite axis as an even function, and then changing variables to get the error function.
39.
If seen as a control system this would be encoded as a feedback error function or in a heuristically assisted system as an algorithm combined with set of heuristics bounding its operational space.
40.
The "'inverse error function "'is usually defined with domain ( " 1, 1 ), and it is restricted to this domain in many computer algebra systems.