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Mar
15
comment Finding a good difficult example function to minimize
Shame you didn't put those in an answer. Great pointer!
Mar
15
accepted Finding a good difficult example function to minimize
Mar
15
comment Finding a good difficult example function to minimize
Ooh thats pretty good...
Mar
15
asked Finding a good difficult example function to minimize
Mar
3
comment What is the intuitive relationship between SVD and PCA
This was a little confusing in that normally the data matrix has n rows of samples of data with d dimensions along columns, like a least squares design matrix. If that is true then the covariance is $X^TX$, and the SVD result is $V\Sigma V^T$. I was also confused by the lack of normalization initially. But altogether a pretty clear explanation.
Sep
24
awarded  Autobiographer
Jul
5
asked Linear Probability Density Transformations
Jun
22
awarded  Tumbleweed
Jun
20
awarded  Excavator
Jun
20
revised How to determine the step response using convolution of the signal's impulse response?
fixed math formatting
Jun
20
suggested approved edit on How to determine the step response using convolution of the signal's impulse response?
Mar
5
comment Finding a simple spline-like interpolating function
OK well you'll be pleased to know that your answer is now incorporated into my iPad app.
Mar
5
comment Finding a simple spline-like interpolating function
Actually my previous statement was false as I realize that introduces a singularity at $\alpha = 0.5$. (Its amazing how little appears on a screen when you have Infs in a vertex shader.) And I guess robotbugs could be both:)
Mar
5
comment Finding a simple spline-like interpolating function
OK thats great because its just $\frac{kx}{x+c}$ which is very few math operations. I can precompute the two constants.
Mar
5
accepted Finding a simple spline-like interpolating function
Mar
5
awarded  Commentator
Mar
5
comment Finding a simple spline-like interpolating function
You have a mix of $k$ and $x$ in there. Are they supposed to be the same variable?
Mar
5
comment Finding a simple spline-like interpolating function
Also what did you use to display such a nice graph on here? I was wondering how to get a diagram in my original post. Last time I tried to post something though I did not have enough standing on the forum to post images.
Mar
5
comment Finding a simple spline-like interpolating function
Thanks, thats exactly the form of curve I was looking for. I can certainly live with a square root function. Many thanks!
Mar
5
comment Finding a simple spline-like interpolating function
I'm currently using code: if(d<alpha) d = (1.0-alpha)*d/alpha; else d = (1.0-alpha)+(d-alpha)*alpha/(1.0-alpha); to do a simple 2 piece linear interpolation. The point of my question is finding something smoother and possibly faster to compute.