Tagged Questions
1
vote
1answer
44 views
What is the way to determin how good a sequence will interpolate?
Say I have to sequences of numbers:
$$[5, 10, 14, 21, 27, 31]$$
$$[1, 20, 21, 22, 30, 31]$$
Even though they both get to $31$ by the $6$th element, logic tells me that only the first one is a good ...
0
votes
0answers
94 views
How to find the formula of a spiral using least-squares(regression)?
Assume data from a plane which are roughly showing a spiral. I want employ the rationale of regression to find the parameters for the best fit by some spiral.
That means, I have to estimate the ...
0
votes
0answers
50 views
Interpolation with mixed types on range
I have the following process: an item of certain type (there are about 20) has real value. After going though processing (which I don't have any information about) changes its value. It may be smaller ...
1
vote
1answer
274 views
Construct / find the simplest function based on data
Let's say I have these 7 natural numbers (all between 0 and 255):
255, 23, 45, 32, 87, 52, 146
How can I find a function F(x) that, once computed, gives me back ...
1
vote
1answer
146 views
Curve fitting with upper and lower bounds for derivatives
I compute (at a great cost) upper and lower bounds $f_u(x)$ and $f_l(x)$ of an unknown function $f(x)$ at points $x$ in $[0,1]$. Now I am interested in an estimation of the derivative $f'(x)$. I ...
3
votes
4answers
829 views
Polynomial fitting where polynomial must be monotonically increasing
Given a set of monotonically increasing data points (in 2D), I want to fit a polynomial to the data which is monotonically increasing over the domain of the data. If the highest x value is 100, I ...
