Beefy Boxes and Bandwidth Generously Provided by pair Networks
Clear questions and runnable code
get the best and fastest answer
 
PerlMonks  

Re: Re: Estimating continuous functions

by Itatsumaki (Friar)
on Mar 29, 2004 at 17:43 UTC ( #340688=note: print w/ replies, xml ) Need Help??


in reply to Re: Estimating continuous functions
in thread Estimating continuous functions

Isn't Runge-Kutta a method for numeric integration of known curves? I think essentially you're suggesting to regress a high-order Runge-Kutta and then minimize the differential area. That's an interesting approach, but I suspect pretty computationally slow compared to directly fitting splines or something like that. I suspect the OP would be better off doing direct interpolation instead, especially because Runge-Kutta won't allow for extrapolation beyond predicted values.

One other note: remember that if you try to estimate a high-order equation without a lot of input data, you can run into over-fitting problems. Most numerical techniques get much more accurate (and slower) with lots of data


Comment on Re: Re: Estimating continuous functions
Re: Re: Re: Estimating continuous functions
by thor (Priest) on Mar 30, 2004 at 12:35 UTC
    Runge-Kutta is a method for solving differential equations numerically. However, there is a mapping from integrals to differential equations, so in that respect Runge-Kutta is also a method for solving integrals numerically.

    thor

Log In?
Username:
Password:

What's my password?
Create A New User
Node Status?
node history
Node Type: note [id://340688]
help
Chatterbox?
and the web crawler heard nothing...

How do I use this? | Other CB clients
Other Users?
Others taking refuge in the Monastery: (6)
As of 2014-07-31 22:39 GMT
Sections?
Information?
Find Nodes?
Leftovers?
    Voting Booth?

    My favorite superfluous repetitious redundant duplicative phrase is:









    Results (254 votes), past polls