[Python] fit the data with two type of fit combined or any one type fit, whichever is good fit

Discussão em 'Python' iniciado por Stack, Abril 24, 2025.

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    I have data x and y , want to fit one part with power_fit and other part with negative power_fit settling to zero finally and start from some -20nm with some 5nF values and goes down after that minima agian start rising and goes to zero.[[​IMG]]

    and here is my data corresponding to the curve as shown in the figure on x-> distance; and y --> force;


    distance force
    -1.77E-08 3.40E-09
    -1.76E-08 3.40E-09
    -1.75E-08 3.54E-09
    -1.74E-08 5.27E-09
    -1.73E-08 4.81E-09
    -1.72E-08 2.07E-09
    -1.71E-08 1.05E-09
    -1.70E-08 4.62E-10
    -1.69E-08 2.44E-10
    -1.67E-08 1.82E-10
    -1.66E-08 -5.28E-11
    -1.65E-08 -2.64E-10
    -1.64E-08 -3.22E-10
    -1.63E-08 -4.37E-10
    -1.62E-08 -7.34E-10
    -1.61E-08 -9.50E-10
    -1.60E-08 -9.78E-10
    -1.59E-08 -1.02E-09
    -1.58E-08 -1.10E-09
    -1.57E-08 -1.13E-09
    -1.56E-08 -1.21E-09
    -1.55E-08 -1.17E-09
    -1.54E-08 -1.15E-09
    -1.53E-08 -9.42E-10
    -1.52E-08 -6.11E-10
    -1.51E-08 -4.80E-10
    -1.50E-08 -3.50E-10
    -1.49E-08 -3.29E-10
    -1.48E-08 -3.02E-10
    -1.47E-08 -2.56E-10
    -1.46E-08 -2.32E-10
    -1.45E-08 -2.24E-10
    -1.44E-08 -1.78E-10
    -1.43E-08 -1.31E-10
    -1.42E-08 -1.35E-10
    -1.41E-08 -9.99E-11
    -1.40E-08 -4.09E-11
    -1.39E-08 -2.26E-11
    -1.38E-08 -2.88E-11
    -1.36E-08 -3.43E-11
    -1.35E-08 -5.07E-11
    -1.34E-08 -4.52E-11
    -1.33E-08 -3.59E-11
    -1.32E-08 -5.06E-11
    -1.31E-08 -5.36E-11
    -1.30E-08 -3.86E-11
    -1.29E-08 -4.83E-11
    -1.28E-08 -6.97E-11
    -1.27E-08 -4.58E-11
    -1.26E-08 -1.40E-11
    -1.25E-08 -1.74E-11
    -1.24E-08 -4.76E-11
    -1.23E-08 -6.25E-11
    -1.22E-08 -3.08E-11
    -1.21E-08 -1.74E-11
    -1.20E-08 -2.85E-11
    -1.19E-08 -3.00E-11
    -1.18E-08 -3.10E-11
    -1.17E-08 -2.50E-11
    -1.16E-08 -3.61E-11
    -1.15E-08 -5.81E-11
    -1.14E-08 -4.96E-11
    -1.13E-08 -3.37E-11
    -1.12E-08 -3.30E-11
    -1.11E-08 -2.93E-11
    -1.10E-08 -3.62E-11
    -1.09E-08 -4.94E-11
    -1.08E-08 -4.43E-11
    -1.06E-08 -3.83E-11
    -1.05E-08 -3.11E-11
    -1.04E-08 -2.48E-11
    -1.03E-08 -3.75E-11
    -1.02E-08 -2.31E-11
    -1.01E-08 -2.24E-11
    -1.00E-08 -4.04E-11
    -9.92E-09 -2.70E-11
    -9.82E-09 -1.43E-11
    -9.72E-09 -9.88E-12
    -9.61E-09 -1.54E-11
    -9.51E-09 -1.96E-11
    -9.41E-09 -2.28E-11
    -9.30E-09 -3.71E-11
    -9.20E-09 -4.11E-11
    -9.10E-09 -1.74E-11
    -8.99E-09 9.00E-12
    -8.89E-09 1.02E-12
    -8.78E-09 -2.85E-11
    -8.68E-09 -1.83E-11
    -8.58E-09 -1.25E-12
    -8.47E-09 -1.47E-11
    -8.37E-09 -3.09E-11
    -8.27E-09 -3.52E-11
    -8.16E-09 -3.08E-11
    -8.06E-09 -3.14E-11
    -7.96E-09 -4.07E-11
    -7.85E-09 -4.25E-11
    -7.75E-09 -4.19E-11
    -7.65E-09 -2.50E-11
    -7.54E-09 -1.22E-11
    -7.44E-09 3.36E-12
    -7.34E-09 7.60E-12
    -7.23E-09 -1.82E-11
    -7.13E-09 -3.02E-11
    -7.03E-09 -3.79E-11
    -6.92E-09 -3.27E-11
    -6.82E-09 -3.25E-11
    -6.72E-09 -1.24E-11
    -6.61E-09 -1.16E-11
    -6.51E-09 -4.27E-11
    -6.41E-09 -2.73E-11
    -6.30E-09 -1.81E-11
    -6.20E-09 -2.86E-11
    -6.10E-09 -2.55E-11
    -5.99E-09 -3.75E-11
    -5.89E-09 -4.72E-11
    -5.78E-09 -8.01E-12
    -5.68E-09 2.63E-11
    -5.58E-09 1.73E-12
    -5.47E-09 -3.50E-11
    -5.37E-09 -4.88E-11
    -5.27E-09 -4.08E-11
    -5.16E-09 -1.41E-11
    -5.06E-09 5.05E-12
    -4.96E-09 1.13E-11
    -4.85E-09 1.43E-12
    -4.75E-09 -2.32E-11
    -4.65E-09 -3.38E-11
    -4.54E-09 -1.38E-11
    -4.44E-09 9.58E-12
    -4.34E-09 1.52E-12
    -4.23E-09 -1.99E-11
    -4.13E-09 -3.96E-11
    -4.03E-09 -4.08E-11
    -3.92E-09 -3.01E-11
    -3.82E-09 -1.87E-11
    -3.72E-09 -5.81E-12
    -3.61E-09 3.56E-12
    -3.51E-09 -7.76E-12
    -3.41E-09 -4.15E-11
    -3.30E-09 -6.75E-11
    -3.20E-09 -6.22E-11
    -3.10E-09 -3.56E-11
    -2.99E-09 -1.90E-11
    -2.89E-09 -1.76E-11
    -2.78E-09 -7.10E-12
    -2.68E-09 1.25E-11
    -2.58E-09 8.13E-12
    -2.47E-09 -8.95E-12
    -2.37E-09 -1.52E-11
    -2.27E-09 -1.48E-11
    -2.16E-09 -1.17E-11
    -2.06E-09 -2.28E-11
    -1.96E-09 -4.26E-11
    -1.85E-09 -5.58E-11
    -1.75E-09 -4.82E-11
    -1.65E-09 -3.35E-11
    -1.54E-09 -1.04E-11
    -1.44E-09 5.28E-13
    -1.34E-09 -1.03E-11
    -1.23E-09 -1.22E-11
    -1.13E-09 1.52E-12
    -1.03E-09 -4.77E-12
    -9.23E-10 -3.37E-11
    -8.19E-10 -1.84E-11
    -7.16E-10 -8.62E-12
    -6.13E-10 -2.80E-11
    -5.09E-10 -2.48E-11
    -4.06E-10 -3.99E-12
    -3.02E-10 -7.42E-13
    -1.99E-10 -1.86E-11
    -9.54E-11 -1.71E-11
    8.06E-12 1.53E-11
    1.12E-10 1.91E-11
    2.15E-10 -2.75E-12
    3.18E-10 -7.53E-12
    4.22E-10 -1.34E-12
    5.25E-10 -2.12E-11
    6.29E-10 -3.89E-11
    7.32E-10 -2.37E-11
    8.36E-10 -2.73E-11
    9.39E-10 -3.20E-11
    1.04E-09 -1.56E-11
    1.15E-09 -9.17E-12
    1.25E-09 -1.38E-12
    1.35E-09 6.78E-12
    1.46E-09 -4.55E-12
    1.56E-09 -1.69E-11
    1.66E-09 -2.19E-11
    1.77E-09 -1.42E-11
    1.87E-09 -2.43E-11
    1.97E-09 -4.14E-11
    2.08E-09 -4.16E-11
    2.18E-09 -4.71E-11
    2.28E-09 -4.83E-11
    2.39E-09 -2.39E-11
    2.49E-09 -2.05E-12
    2.59E-09 -2.21E-12
    2.70E-09 -2.18E-12
    2.80E-09 -1.16E-11
    2.90E-09 -1.97E-11
    3.01E-09 -3.44E-11
    3.11E-09 -6.25E-11
    3.21E-09 -5.27E-11
    3.32E-09 -2.01E-11
    3.42E-09 -1.33E-11
    3.53E-09 -3.15E-12
    3.63E-09 1.46E-11
    3.73E-09 1.82E-11
    3.84E-09 -2.36E-12
    3.94E-09 -2.48E-11
    4.04E-09 -3.09E-11
    4.15E-09 -3.72E-11
    4.25E-09 -2.81E-11
    4.35E-09 -2.56E-11
    4.46E-09 -4.30E-11
    4.56E-09 -6.31E-12
    4.66E-09 2.11E-11
    4.77E-09 -4.34E-12
    4.87E-09 -9.74E-12
    4.97E-09 -8.47E-12
    5.08E-09 -8.08E-12
    5.18E-09 -4.18E-12
    5.28E-09 -6.95E-12
    5.39E-09 -6.77E-12
    5.49E-09 -6.60E-14
    5.59E-09 -2.30E-11
    5.70E-09 -4.33E-11
    5.80E-09 -4.12E-11
    5.90E-09 -4.53E-11
    6.01E-09 -4.75E-11
    6.11E-09 -4.15E-11
    6.21E-09 -2.59E-11
    6.32E-09 -1.65E-11
    6.42E-09 -2.12E-11
    6.53E-09 -1.48E-11
    6.63E-09 3.70E-12
    6.73E-09 1.29E-11
    6.84E-09 6.49E-13
    6.94E-09 -2.16E-11
    7.04E-09 -3.00E-11
    7.15E-09 -1.33E-11
    7.25E-09 2.78E-12
    7.35E-09 -4.47E-13
    7.46E-09 -7.96E-12
    7.56E-09 -5.61E-12
    7.66E-09 -1.29E-12
    7.77E-09 -5.08E-12
    7.87E-09 -1.21E-11
    7.97E-09 -1.63E-11
    8.08E-09 -2.33E-11
    8.18E-09 -3.40E-11
    8.28E-09 -1.35E-11
    8.39E-09 1.73E-11
    8.49E-09 2.65E-11
    8.59E-09 1.85E-11
    8.70E-09 -6.51E-12
    8.80E-09 -2.92E-11
    8.90E-09 -3.74E-11
    9.01E-09 -3.62E-11
    9.11E-09 -2.00E-11
    9.21E-09 -1.22E-12
    9.32E-09 6.68E-12
    9.42E-09 -1.60E-12
    9.52E-09 -1.27E-11
    9.63E-09 -1.28E-11
    9.73E-09 -1.64E-11
    9.84E-09 -2.32E-11
    9.94E-09 1.41E-12
    1.00E-08 1.03E-11
    1.01E-08 -2.61E-11
    1.02E-08 -3.74E-11
    1.04E-08 -2.98E-11
    1.05E-08 -4.38E-11
    1.06E-08 -5.11E-11
    1.07E-08 -3.31E-11
    1.08E-08 -1.49E-11
    1.09E-08 1.62E-11
    1.10E-08 1.87E-11
    1.11E-08 -4.80E-12
    1.12E-08 -6.11E-12
    1.13E-08 -1.79E-11
    1.14E-08 -4.61E-11
    1.15E-08 -4.14E-11
    1.16E-08 -2.12E-11
    1.17E-08 -1.47E-11
    1.18E-08 7.30E-12
    1.19E-08 1.94E-11
    1.20E-08 3.81E-12
    1.21E-08 -1.05E-11
    1.22E-08 -3.00E-12
    1.23E-08 -4.68E-12
    1.24E-08 -1.91E-11
    1.25E-08 -2.18E-11
    1.26E-08 -2.93E-11
    1.27E-08 -3.88E-11
    1.28E-08 -2.89E-11
    1.29E-08 -1.79E-12
    1.30E-08 -9.21E-12
    1.31E-08 -4.13E-11
    1.32E-08 -3.83E-11
    1.34E-08 7.81E-14
    1.35E-08 2.32E-11
    1.36E-08 1.91E-11
    1.37E-08 -1.41E-11
    1.38E-08 -4.52E-11
    1.39E-08 -4.29E-11
    1.40E-08 -1.96E-11
    1.41E-08 1.87E-12
    1.42E-08 -2.42E-12
    1.43E-08 -3.57E-12
    1.44E-08 7.99E-12
    1.45E-08 1.07E-11
    1.46E-08 1.46E-12
    1.47E-08 1.09E-12
    1.48E-08 -3.67E-12
    1.49E-08 -2.01E-11
    1.50E-08 -2.71E-11
    1.51E-08 -1.40E-11
    1.52E-08 -4.58E-12
    1.53E-08 -9.81E-12
    1.54E-08 -9.87E-12
    1.55E-08 -1.00E-11
    1.56E-08 2.84E-13
    1.57E-08 -4.53E-12
    1.58E-08 -2.27E-11
    1.59E-08 -2.34E-11
    1.60E-08 -6.68E-12
    1.61E-08 1.49E-11
    1.62E-08 1.96E-11
    1.64E-08 1.25E-11
    1.65E-08 -1.75E-11
    1.66E-08 -4.14E-11
    1.67E-08 -4.08E-11
    1.68E-08 -2.94E-11
    1.69E-08 -1.51E-11
    1.70E-08 -3.19E-12
    1.71E-08 1.06E-11
    1.72E-08 2.12E-11
    1.73E-08 1.87E-11
    1.74E-08 8.40E-12
    1.75E-08 -8.24E-12
    1.76E-08 -2.34E-11
    1.77E-08 -1.61E-11
    1.78E-08 7.20E-12
    1.79E-08 -1.10E-11
    1.80E-08 -4.80E-11
    1.81E-08 -4.89E-11
    1.82E-08 -2.80E-11
    1.83E-08 -1.12E-11
    1.84E-08 -6.21E-12
    1.85E-08 -1.20E-12
    1.86E-08 -1.62E-11
    1.87E-08 -2.54E-11
    1.88E-08 -1.08E-11
    1.89E-08 -1.80E-11
    1.90E-08 -1.72E-11
    1.91E-08 -1.18E-12
    1.92E-08 6.22E-12
    1.94E-08 1.54E-11
    1.95E-08 4.97E-12
    1.96E-08 -2.88E-11
    1.97E-08 -3.05E-11
    1.98E-08 -1.86E-11
    1.99E-08 -3.75E-11
    2.00E-08 -2.38E-11
    2.01E-08 6.23E-12
    2.02E-08 -6.22E-13
    2.03E-08 -1.75E-11
    2.04E-08 -2.90E-11
    2.05E-08 -1.05E-11
    2.06E-08 5.35E-12
    2.07E-08 -1.20E-11
    2.08E-08 -5.85E-12
    2.09E-08 -2.46E-12
    2.10E-08 -8.25E-12
    2.11E-08 -5.34E-12
    2.12E-08 -1.01E-11
    2.13E-08 -1.50E-11
    2.14E-08 -2.69E-11
    2.15E-08 -4.15E-11
    2.16E-08 -2.90E-11
    2.17E-08 -2.49E-11
    2.18E-08 -3.58E-11
    2.19E-08 -2.03E-11
    2.20E-08 1.35E-11
    2.21E-08 1.69E-11
    2.22E-08 -1.81E-11
    2.24E-08 -4.05E-11
    2.25E-08 -2.05E-11
    2.26E-08 -8.54E-12
    2.27E-08 -1.48E-11
    2.28E-08 -4.88E-13
    2.29E-08 8.96E-12
    2.30E-08 9.94E-12
    2.31E-08 3.10E-13
    2.32E-08 -1.61E-11
    2.33E-08 -2.69E-11
    2.34E-08 -3.18E-11
    2.35E-08 -2.66E-11
    2.36E-08 -2.38E-11
    2.37E-08 -2.72E-11
    2.38E-08 -4.06E-12
    2.39E-08 5.26E-12
    2.40E-08 -2.21E-11
    2.41E-08 -1.49E-11
    2.42E-08 1.46E-11
    2.43E-08 1.11E-11
    2.44E-08 2.84E-12
    2.45E-08 1.24E-11
    2.46E-08 -7.15E-12
    2.47E-08 -4.86E-11
    2.48E-08 -4.72E-11
    2.49E-08 -2.43E-12
    2.50E-08 3.82E-11
    2.51E-08 2.77E-11
    2.52E-08 -6.25E-12
    2.54E-08 -1.79E-11
    2.55E-08 -3.61E-11
    2.56E-08 -5.52E-11
    2.57E-08 -1.51E-11
    2.58E-08 2.69E-11
    2.59E-08 2.58E-11
    2.60E-08 1.48E-11
    2.61E-08 -1.56E-11
    2.62E-08 -3.23E-11
    2.63E-08 -3.06E-11
    2.64E-08 -1.79E-11
    2.65E-08 4.83E-12
    2.66E-08 1.33E-11
    2.67E-08 1.52E-11
    2.68E-08 1.82E-11
    2.69E-08 6.90E-12
    2.70E-08 -2.51E-12
    2.71E-08 2.50E-12
    2.72E-08 -2.29E-11
    2.73E-08 -4.13E-11
    2.74E-08 -6.23E-12
    2.75E-08 1.65E-11
    2.76E-08 -3.06E-12
    2.77E-08 -3.29E-11
    2.78E-08 -2.95E-11
    2.79E-08 -9.03E-12
    2.80E-08 -6.71E-12
    2.81E-08 -7.09E-12
    2.82E-08 -9.39E-12
    2.84E-08 -1.40E-11
    2.85E-08 -9.45E-12
    2.86E-08 5.33E-12
    2.87E-08 1.01E-11
    2.88E-08 -7.60E-12
    2.89E-08 -2.69E-11
    2.90E-08 -2.05E-11
    2.91E-08 -7.23E-13
    2.92E-08 1.88E-11
    2.93E-08 1.75E-11
    2.94E-08 -1.39E-11
    2.95E-08 -3.52E-11
    2.96E-08 -2.50E-11
    2.97E-08 1.07E-11
    2.98E-08 8.93E-12
    2.99E-08 -1.91E-11
    3.00E-08 -1.71E-11
    3.01E-08 -1.17E-11
    3.02E-08 -5.79E-12
    3.03E-08 -2.08E-12
    3.04E-08 -1.33E-11
    3.05E-08 -2.22E-11
    3.06E-08 -2.02E-11
    3.07E-08 -2.14E-11
    3.08E-08 -2.41E-11
    3.09E-08 -1.95E-11
    3.10E-08 6.25E-12
    3.11E-08 2.11E-11
    3.12E-08 7.65E-12
    3.14E-08 -8.28E-12
    3.15E-08 -2.01E-11
    3.16E-08 -1.25E-11
    3.17E-08 3.62E-12
    3.18E-08 -9.12E-12
    3.19E-08 -1.79E-11
    3.20E-08 -8.35E-12
    3.21E-08 -9.35E-12
    3.22E-08 -8.50E-12
    3.23E-08 -3.26E-12
    3.24E-08 -1.07E-11
    3.25E-08 -1.32E-11
    3.26E-08 -9.42E-12
    3.27E-08 -1.13E-11
    3.28E-08 -2.52E-11
    3.29E-08 -4.17E-11
    3.30E-08 -1.87E-11
    3.31E-08 6.60E-12
    3.32E-08 -2.80E-13
    3.33E-08 7.08E-13
    3.34E-08 7.62E-12
    3.35E-08 2.31E-12
    3.36E-08 -6.07E-12
    3.37E-08 -2.43E-11
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    8.34E-08 -1.06E-11
    8.35E-08 -1.17E-11
    8.36E-08 -1.24E-11
    I am getting divided by zero at some points. I was using the two functions for it, one is before minima and another after minima.

    def fit_data(x, y):
    # Define the model function for x <= xmin
    def model1(x, a, n, x0,ymin):
    return a / (x_adj**n) + ymin

    def model2(x, b, m, xmin, y0):# Define the model function for x > xmin
    x_adj = x - xmin
    return -b / (x_adj**m) + y0
    x_data = np.array(x)
    y_data = np.array(y)
    ymin = np.min(y_data)
    xmin = x_data[np.argmin(y_data)]

    Continue reading...

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