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Questions tagged [fitting]

Questions on the use of Mathematica to construct models for approximating empirical data.

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Can weighted parameter error estimates from MM13 and earlier be replicated using Around in MM14?

Consider some noisy data with varying levels of uncertainty on each data point: ...
Michael Seifert's user avatar
0 votes
1 answer
128 views

Numerical minimization of an objective function (revised)

I'm trying to develop some code that I can easily adapt to different material models (Propagation Models). I'm revising my previous question to enable everyone to reproduce the problem with some ...
Teodoro Marinucci's user avatar
1 vote
0 answers
91 views

Numerical minimization of an objective function [closed]

I'm trying to develop some code that I can easily adapt to different material models (see Propagation Models For that I have defined a "vector" that enters into the functions that are the ...
Teodoro Marinucci's user avatar
1 vote
1 answer
134 views

Difference between Mathematica NonlinearModelFit and Excel Solver? [closed]

Sorry if this is a stupid question. I was wondering what the difference is between Mathematica NonlinearModelFit and Excel solver if you set up excel to minimize the sum of squared residuals. I've ...
Harrison's user avatar
0 votes
0 answers
119 views

NonlinearModelFit finds only "fake" minima

I'm trying to fit the parameters of a function that, since it's the result of many complicated calculations, cannot be expressed analytically, but only calculated. Let me write it as ...
Teodoro Marinucci's user avatar
5 votes
3 answers
526 views

Fitting many peaks to dataset

I have the following dataset: dataset I am trying to fit this with a series of gaussians, without overfitting. I have tried the following, ...
mikewag97's user avatar
0 votes
0 answers
86 views

Fitting experimental data with a convolution of two functions - how to speed up such calculations?

I am trying to write a program that fits experimental data with a convolution of experimental instrumental response function (IRF) with several Exponential functions. This is what I coded so far. Here ...
Grzegorz Kruk's user avatar
3 votes
1 answer
165 views

Find Fit function to my plot

I want to solve this equation and find Z. But solving this equation is difficult due to the complexity of its functions. So, I used a numerical method and managed to plot Z as a function of changes ...
Ama's user avatar
  • 95
3 votes
2 answers
228 views

Fitting an experimental data using Nonlinear Model fit having four unknown parameter which need to find out from fitting

I am new to Mathematica. I am trying to find out four unknown parameter by fitting an experimental data with the formula given below by using Nonlinear Model Fit. The two-band model for Hall ...
Dibyendu Majee's user avatar
0 votes
1 answer
113 views

FindRoot in FindFit

I have a data named Hc2Tdata where its plot is shown in the first figure. The x-axis is $T$ while the y-axis is $H_{c2}(T)$. I want to fit this with the equation ...
mathemania's user avatar
1 vote
1 answer
137 views

Confidence intervals in NonlinearModelFit , extract the numbers

How do I get the confidence intervals from NonlinearModelFit so that I can use them in subsequent calculations? In this example I generate some data and then use <...
Hugh's user avatar
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1 vote
3 answers
182 views

How can I fit two datasets simultaneously using two different functions but with the same parameters?

There are two sets of data: firstHalf and secondHalf. Both firstHalf and secondHalf are fitted using the models modelPositive and modelNegative, respectively. Both models use the same parameters: MS, ...
Cansu's user avatar
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Using FindFit for non linear model fitting how to calculate standard deviation of fitted parameters?

Is FindFit function of Mathematica works faster than NonLinearModelFit ?? I found FindFit works much faster in my model (almost 8 times). Can someone helps me how to calculate the standard deviation ...
RAJESH CHELL's user avatar
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0 answers
102 views

Given six points in P^3 with no four coplanar, how do you compute the unique twisted cubic passing through them

A twisted cubic has parametrization $A\pmatrix{1\\t\\t^2\\t^3}$ for a nonsingular 4×4 matrix $A$ https://en.wikipedia.org/wiki/Twisted_cubic: Given six points in P3 with no four coplanar, there is a ...
hbghlyj's user avatar
  • 141
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0 answers
110 views

Is this possible to get symbolic result for this polar integral for these two cases?

This is the integrate. $$ \int_0^{2\pi} \!\!\!\int_0^R \frac{k\,r^{2}\,\bigl(a - r \sin\theta\bigr)} {\Bigl[r^2 \cos^2 \theta + (\,a - r \sin\theta\,)^2\Bigr]^{3/2}} ...
kile's user avatar
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