This post deals with generating random numbers given a CDF (Cumulative distribution function). CDF may be specified as an analytical function or as a table of values. We also assume that we have a source of pseudo-random uniformly distributed numbers. Probability Integral Transform At the core of this issue is the 'Probability Integral Transform'. It states that, … Continue reading Generating randoms from a specified CDF
Tag: math
Soft Indicator Function
Very often we come across indicator functions denoting class membership. These functions in their native form are neither continuous nor differentiable. I will describe a trick to convert such indicator functions to an approximate continuous and differentiable function. This blog is organized as follows: Describe a computation case with indicator function Trick to convert More remarks … Continue reading Soft Indicator Function
Computing Padé Approximation with Maxima
Computationally intensive software programs can have a sharp performance profile. What I mean with sharp profile is that, there might be a couple of functions which are most time consuming. Very often such expensive functions are trigonometric functions. A way to increase performance is by use of approximations for trigonometric function. There is a trade … Continue reading Computing Padé Approximation with Maxima
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