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KrisLevchenko
Austria
7 Posts |
 Posted - 02/25/2021 : 09:45:36 AM
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Origin version: 2018 (64bit), Academic
Greetings,
Sorry to bother with trivial question, I'd be very grateful for every help.
I want to fit two different dataset with different x and y each (x1 & y1), (x2 & y2). Fit(non-linear curve fit) is suppose to be with system of equations, where each of the equations is corresponding to specific data set:
y1=2.81*sqrt(x1*(x1-Hc+Four_Pi_Meff)); (for x1y1 only)
y2=2.81*(x2+Hu2-4/3*Hc-Four_Pi_Meff); (for x2y2 only)
y1,x1 and y2,x2 are independent input values. Hc,Four_Pi_Meff,Hu2 - shared variables by both of the equations that I want to obtain from fit.
Now, trouble occur while selecting data. Global fit with 2 data ranges allows to share variables, but requires x1,y1 and x2,y2 for each of the ranges. Basically trying to use BOTH formulas for x1y1 and x2y2. Result is all combinations of x1, y1, x2, y2 (x1y2, x2y1,x1y1 and x2y2). Independent fitting has 1 range, where I specify x1, y1, x2, y2, but the fit still includes those weird combinations of x1y2, x2y1.. in the result. There's no option to share parameters between equations in the Independent fitting option.
In the result, there're plots using proper inputs x1y1 and x2y2 and some fit curves, but I'm not sure whether the right corresponding equation was used to fit and whether variables were really shared. Obtained error in fitted values is large.
Note: x1y1 and x2y2 datasets are in the same Sheet, four columns in a row, x1 is defined as x1, while x2 - as x2. Same for y1 and y2.
Question: how to get a fit to two different datasets with two equations that share several variables?
Thanks in advance,
Kris
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YimingChen
1593 Posts |
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YimingChen
1593 Posts |
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KrisLevchenko
Austria
7 Posts |
Posted - 02/25/2021 : 11:01:25 AM
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Dear Yiming,
Thank you for the swift reply! Yes, I've checked this tutorial earlier. Here, we have 1 dataset fitted by two equations. I'm following the same procedure, basically, but need two different datasets to be fitted with two different equations. The only common point between them should be shared variables like Hc, Hu2, Four_Pi_Meff. My task is to find them from this fit. In other words, two equations, 3 unknowns. As of now, I do get the right(?) fits, but only together with unrequired fits to mixed data combinations. Also, the uncertainty of the result, even with specified limits and initial values, is very high, which additionally leads me to think that there's smth wrong with an this approach.
All tutorials are either for 1 equation and multiple datasets or 1 dataset and multiple equations. I know it should be easy, but it just keeps getting away from my grasp(
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Edited by - KrisLevchenko on 02/25/2021 11:04:17 AM |
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KrisLevchenko
Austria
7 Posts |
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KrisLevchenko
Austria
7 Posts |
Posted - 02/25/2021 : 11:12:55 AM
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Sorry, this app requires Origin version 9.6, and I have version 9.5. Either way, thank you =)
quote:
Originally posted by YimingChen
Please also try this app on global fitting with sharing parameters.
https://www.originlab.com/fileExchange/details.aspx?fid=475
James
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YimingChen
1593 Posts |
Posted - 02/25/2021 : 1:44:04 PM
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See attached figure showing two equations with x1y1 and x2y2.
James |
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KrisLevchenko
Austria
7 Posts |
Posted - 02/25/2021 : 2:40:55 PM
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Dear James,
Awesome, I've got the same result. Thank you) But the issue is in Data Set selection and further fitting. See the image below
In fitting preview window, you see at the top four data sets and corresponding fits. 2 of them are as planned and correspond to x1y1 and x2y2 fitted (I hope) with eq.1 and eq.2, two of them - weird mix of input data (x1y2, x2y1). Fitting is global, all variables are shared. What am I doing wrong or this is how it supposed to be?
quote:
Originally posted by YimingChen
See attached figure showing two equations with x1y1 and x2y2.
James
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YimingChen
1593 Posts |
Posted - 02/25/2021 : 5:09:21 PM
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No need to set as Global fit. Try set to Independent Fit.
James |
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KrisLevchenko
Austria
7 Posts |
Posted - 03/01/2021 : 10:28:26 AM
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Dear James,
Thank you for a great tip) I've tried this approach as well, yet those residual fit graphs persist to be present. High chi-square and error margin are a persistent problem, but I can leave with it. Why independent fit is better if I want fitted terms to be shared? Or are they by default shared via the equation expression?
Have a great day,
Kris
quote:
Originally posted by YimingChen
No need to set as Global fit. Try set to Independent Fit.
James
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YimingChen
1593 Posts |
Posted - 03/01/2021 : 11:08:35 AM
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When you define a system of equations to fit, the parameters of same name in two equations automatically shared its value during fitting. It fits two sets of xy datasets all together. If you think the fitting still has problem, please use the link below to contact us.
https://www.originlab.com/restricted/support/index.aspx
James |
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KrisLevchenko
Austria
7 Posts |
Posted - 03/02/2021 : 12:46:35 PM
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Aha.. it's a bit different from other platforms I used to work with, therefore initial uncertainty in the result. Thank you for the explanation! =)
quote:
Originally posted by YimingChen
When you define a system of equations to fit, the parameters of same name in two equations automatically shared its value during fitting. It fits two sets of xy datasets all together. If you think the fitting still has problem, please use the link below to contact us.
https://www.originlab.com/restricted/support/index.aspx
James
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Fitting multiple datasets with system of equations