Non-Linear CURVE FITTING using PYTHON

A tutorial on how to perform a non-linear curve fitting of data-points to any arbitrary function with multiple fitting parameters.

Documentation:

Code shown in the video:

Hope you find it useful!

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[msm]

I saw at least five tutorials by now, asked three questions on stack-overflow cause that stuff never worked with my function. And finally I found a fellow scientist who gives this marvellous tutorial on curve fitting. Thank you a thousand times, it works!

[diegolovato]

Bless your soul, this was excellent. I was able to find non-linear relationships between temperature and electrical load of a city, for electricity load forecasting. THANK YOU!

[candelariohg]

Thank you very much, friend, I've been suffering for two days what you can't imagine to achieve something like this.

[WizToma]

absolute hero so much better than online forums/documentation explenations

[Magnuomoliticus]

Thank you very much! I hope I can help any viewer with this other tips.

# In this example, if you want to know the errors of the fitting parameters "a" and "b" you can add this line to your code:

a, b = np.sqrt(np.diag(pcov))


# If you want to know the r^2 score of the fit, use this lines in your code:

from sklearn.metrics import r2_score

r2 = r2_score(yData, func(xData, *popt))

I wish you the best of lucks!

[cryfier]

Dude your a god that was so well explained! Love you!

[Anuraag-oheb]

lovely content! thank you. but your plot .. talk about overfitting the data :D :D :D

[fernandozeledonmunoz]

Is it possible to choose the size of the y-axis? I mean, my experimental y values are very little and i want the graph only to show them in comparision with the curve fitting ...

[mohammadkazemi]

Thanks for this nice tutorial. I have a question. How can I calculate the r2 (r-squared) of the curve fit? Is there any way to convert the pcov to r2? THANKS!

[sheetanshudeepak]

sir kindly make video on improve the goodness(reduce SSE) of fitting curve, thank you

[grenliquid]

Can u do a curve fit with more than one curve, example u have 2 function/model with same parameter and u want to fit those curves with 2datas u have of that function respectively, maybe u can weight the residual of the curves?

[MM-vwck]

I have this problem, where the data I'm trying to fit is not of polynomial/exponential form.

[ahmedroumi]

How can we compute the area under curve ( for exemple for an asymetric gaussian )

[UddhikaIshara]

i got error saying " ImportError: cannot import name 'read_arguments' from partially initialized module 'popt' " could you please help?

[addons]

I have a question, how can you predict using the curve_fitted function for a specific value but no array, which isn't part of the dataframe? Let's say the x value is 6 and a prediction for this number is needed.

[Gustavo_]

Thank you for the video! I have one question, how do I determine the uncertainty of the coefficients generated by the curvefit?

[guerreirodaluzgmailcom]

hi Mr., How do I know which initial values to consider for the initial conjecture of the parameters?
I will be grateful for the answer

[Alpharabius]

How can we get the equation for curve?

[tawhidpranto]

Thank you so much for explaining in details. Can you explain why you wrote a=%5.3f, b=%5.3f in line 28 of your code?

[shahinsharafi]

I tried to do same code, however python did not sketch the curve for me !