In practice, I expect a linear piecewise function (with sharp corners) would be indistinguishable from the smoothed function. It is also much easier to read, test, and debug. It might even be faster.
Try the sharp corners one first. wunder On Feb 14, 2012, at 10:56 AM, Ted Dunning wrote: > In general this kind of function is very easy to construct using sums of > basic sigmoidal functions. The logistic and probit functions are commonly > used for this. > > Sent from my iPhone > > On Feb 14, 2012, at 10:05, Mark <static.void....@gmail.com> wrote: > >> Thanks I'll have a look at this. I should have mentioned that the actual >> values on the graph aren't important rather I was showing an example of how >> the function should behave. >> >> On 2/13/12 6:25 PM, Kent Fitch wrote: >>> Hi, assuming you have x and want to generate y, then maybe >>> >>> - if x < 50, y = 150 >>> >>> - if x > 175, y = 60 >>> >>> - otherwise : >>> >>> either y = (100/(e^((x -50)/75)^2)) + 50 >>> http://www.wolframalpha.com/input/?i=plot++%28100%2F%28e^%28%28x+-50%29%2F75%29^2%29%29+%2B+50%2C+x%3D50..175 >>> >>> >>> - or maybe y =sin((x+5)/38)*42+105 >>> >>> http://www.wolframalpha.com/input/?i=plot++sin%28%28x%2B5%29%2F38%29*42%2B105%2C+x%3D50..175 >>> >>> Regards, >>> >>> Kent Fitch >>> >>> On Tue, Feb 14, 2012 at 12:29 PM, Mark <static.void....@gmail.com >>> <mailto:static.void....@gmail.com>> wrote: >>> >>> I need some help with one of my boost functions. I would like the >>> function to look something like the following mockup below. Starts >>> off flat then there is a gradual decline, steep decline then >>> gradual decline and then back to flat. >>> >>> Can some of you math guys please help :) >>> >>> Thanks. >>>
