Neural Network: complexity of functions
1,195 views · Published 24 April 2011 · 0:14 · Indexed 4 November 2026
Channel: bhadeshia123 · 2011 · Education
This shows a how a simple function of two variables, using four hyperbolic tangents, can result in an incredibly flexible surface. The change in the surface is a consequence of corresponding changes in the weights. The ouput is plotted on the vertical axis and the two inputs on the horizontal axes. z=0.8[tanh(nx-2) + tanh(x^2-n)+tanh( ny+2) + tanh(y^2-n)+1], which is a neural network of two inputs x and y, with four hidden units. More detail on http://www.msm.cam.ac.uk/phase-trans/teaching.html H. K. D. H. Bhadeshia
