Dithering in its simplest form can be understood by observing what happens when we quantise an image with and without modifying the source by random perturbation. In the examples below, a gradient of 256 grey levels is quantised to just black and white. Note how the dithered gradient is able to simulate a smooth transition from start to end.
Then there is a spontaneous dance in the living room, a walk in long grass where she gets scared of the dark, and a photo her partner loves so much he makes it the background on his phone.
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whole line of large-scale "ERM" business systems as GE had hoped, but it did
Hand-coded — weights set analytically. This is a constructive proof that the architecture can represent addition, regardless of whether SGD would find it.