AI462

 Switch Net 4  Switch Net 4. Random sign flipping before a fast Walsh Hadamard transform results in a Random Projection. For almost any input the result is a Gaussian distributed output vector where each output element contains knowledge of all the input elements. With Switch Net 4 the output elements are 2-way switched using (x<0?) as a switching predicate. Where x is the input to the switch.  The switches are grouped together in units of 4 which together form a small width 4 neural. When a particualr x>=0, the pattern in the selected pattern of weights is forward projected with intensity x. When x<0 a different pattern of forward selected weights is again projected with intensity x (x being negative this time.) If nothing was projected when x<0 then the situation would be identical to using a ReLU. You could view the situation in Switch Net 4 as using 2 ReLUs one with input x and one with input -x.  The reason to 2-way switch (or +- ReLU) is to avoid ea...

 Switch Net Switch Net. Switch Net is a neural network based on using the fast Walsh Hadamard tranform (WHT) as a fixed set of layer weights with a parametric switching based activation function. The cost of the WHT is nlog2(n) add subtracts as opposed to n squared fused multiply adds for a conventional dense neural layer's weight calculations. A fixed random pattern of sign flips is applied to the input data so that the first WHT fairly distributes information with a Gaussian distribution across its outputs. Then a switching decision is applied to each output of the WHT and the output is multiplied by one weight or another.  The section between the red lines is basically a layer and can be repeated a number of times. A final WHT is done to combine the last lot of switched weight outputs. Some example code is here: https://editor.p5js.org/congchuatocmaydangyeu7/sketches/7ekZTwQMF One slight issue is if the switching weights for a particular output have opposite signs then the ...

 ReLU as a Switch The conventional view - ReLU as a function ReLU as a function. ReLU as a Switch A slight confusion in computer science is that switches are purely digital, from switching gates and such. That appears to be the case because the supply voltage is fixed and that is the only thing switched. However a light switch in you house is binary on off, yet connects or disconnects an AC sine wave voltage.  A switch therefore is a mixed digital analog device. When on, the input signal goes through 1 to 1. When off, the output is zero. You can then view ReLU as a switch that is 1 to 1 when on and output zero when off. Of course there is a switching decision to make.  In your house you make the switching decision for a light. With ReLU the switching decision is based on the predicate (x>=0)? Where x is the input to the switch. You could supply other predicates for the switching decisions if you wanted but switching at x=0 is very helpful for optimization. A ReLU netwo...