# Questions tagged [fitting]

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

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### Estimation of the error for zero degree of freedom fit with error bar

I am performing a fit on experimental data with zero degree of freedom but with error bar using NonlinearModelFit: ...
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### Problem with fitting square root-like function

I have following data: ...
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### Simultaneous fitting of polynomial parameters to data [duplicate]

I have two following data-sets: ...
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### Fitting complex equation

I used the following code for fitting but it does not produce an output.I kept it nearly 3 to 4 hours but it does not give any output. How should I make it correct?I have used two equation(f1,f2).I ...
173 views

### How to do good surface fitting in Mathematica?

I would like to fit a 3D surface in Mathematica, and I can do a rough fitting using the following code: ...
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### Get properties of a list of fitted models (objects)

If I do a fit, such as nlm = NonlinearModelFit[data, {x^a Cos[b x + c]}, {a,b,c} ,{x}] then you return a FittedModel object, ...
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### Problem using Nonlinearfit on integral function

I tried to fit my data with a very complicate Integrated function. But I get many errors messages when I perform the fit. For exemple I get : NIntegrate::inumr: The integrand ....has evaluated to ...
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### Model fitting for concave curve: test if asymptote or convergence exist

I am asking a double check if conceptually I set up proper model and proceeding in good direction to drive conclusions. I have a distribution that looks like this: I want to test if for increasing x ...
304 views

### Fit Gaussian Function [duplicate]

I want to fit the Gaussian Function for the following data. How should I do it? ...
249 views

### Quantile Regression using Neural Networks (Custom Loss function)

I would like to perform a Quantile Regression within Mathematica's neural network framework. Since there exist a couple of tutorials for this exact problem in Tensorflow, i.e. Deep Quantile ...
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### Why does the PearsonChiSquare from FindDistribution and DistributionFitTest differ by a factor of $10^{20}$?

This is similar to the unanswered "Why the results of FindDistribution and DistributionFitTest are not consistent?" My more specific question is: Why do the PearsonChiSquare values for ...
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### What is the best fit for this data?

First I entered the data and graph it, then I used the non-linear adjustment command to have a model of my data, I asked Mathematica for the square r, to know how good the model was, then I put ...
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### Linear regression with weighted data?

LinearModelFit doesn't seem to support WeightedData objects. Is there anything I can do smarter than repeating the data ...
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### How do I treat the results of Fit as text?

I would like to take the results of Fit (or any FittedModel) and treat them as text, including making substitutions for the ...
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### Fitting an equation to data set, am I doing this right?

I have a large data set of different values of time. I want to make 1) a histogram 2) fit an exponential function of form A+B*exp(-t/b) from the data To my understanding, this is how I'd do it <...
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### Estimating parameters for pair of differential equations efficiently

I'm trying to estimate the parameters for the following pair of differential equations ...
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### Ranging the parameter in Fitting

I want to apply a range for parameters(a,b,c,d).What is the correct way to do it? ...
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### Parametric solution of a system of two nonlinear ODEs with data describing only one the functions

I have the following pair of nonlinear ordinary differential equations ...
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### Deal with noise and missing points in data [closed]

I have run a simulation which has resulted in some bad data (see graph below). What would be the best way to detect and interpolate the missing points in Mathematica (i.e. remove the noise)? Raw ...
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### Why does LinearModelFit give me an equation in $z$ rather than $x$?

I am working on a Mathematica notebook and making graphs for my lab. I can't make a graph for my linearized data as LinearModelFit gives equation in ...
165 views

### Convolve and fitting

I want to convolve two equation, then I want to find the parameters. But it doesn't give the answer and Takes too much time. What is the wrong with my code? ...
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### Difficulty with FindFit with complex equation

I want to fit the following equation for my experimental data. I used the following code but it does not give the answer. ...
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### NonlinearModelFit Method-> “LevenbergMarquardt”, “Newton”, “QuasiNewton”, etc?

Could someone please point me to a tutorial comparing and contrasting the advantages and disadvantages of the many methods to choose from when applying NonlinearModelFit?
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### How to correctly write a PDE solving module for NonlinearModelFit

I need to fit a model defined by numerical operations to test data and find the parameters of the PDE. The problem is that I have to NIntegrate the result obtained ...
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### fitting data with parameter plus distribution

I have data that I would like to fit with Bessel function https://www.dropbox.com/s/7se9mb2epbietng/data.dat?dl=0 ...
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### How to apply assumptions to parameters for FindDistributionParameters?

Say I have data that I want to fit to a distribution while applying assumptions on one or more of the parameters. For example, for ParetoDistribution[k, α, μ] <...
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### Automatic Piecewise Approximation

I would like to create the following function: It should approximate a function func[x] by piecewise polynomial interpolations, splitting the approximate function ...
237 views

### Find good polynomial fit of square root

I would like to find a good polynomial fit of the square root. I tried the following: ...
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### Scaling and shifting in fitting of a LogNormal distribution from experimental data

I have the following set of data: ...
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### How can I do a “linear” fit on a log log plot

I have plotted some data with a log scale on both axes as shown in the image below. I want to be able to fit this data such that the fit appears as linear on this log-log plot but I haven't been able ...
206 views

### How I can use FindFit to simultaneously fit two data sets to two equations having shared parameters? [duplicate]

I think that FindFit package with the method Nminimize yields global minimum if initial values of adjustable parameters are ...
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### How to speed up multiple calls of NonlinearModelFit?

I'm trying to do an insane amount of non-linear fits to large amounts of data sets. However, I found that the NonlinearModelFit is horribly slow. Here's the setup: ...
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### Why isn't LinearModelFit behaving consistently at different levels of lists?

I get the following results when I run the following regression on datass: ...
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### FindMinimum from DensityPlot

I need to find the values of x, y that correspond to the minimum value of the function (in this example it is -1.0, the black area). Code example: ...
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### How do I fit experimental data by solving 3 coupled ODEs with adjustable parameters?

I want to fit experimental data by solving 3 coupled differential equations.The ODEs are rate equations modeling the dynamics of hot carriers in semiconductors after excitation. The function use fot ...
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### Curve fitting with variable number of Gaussian curve

I have the data which appears like And I decided to use three Gaussian curves to fit it. (This code allows me to manipulate all three curves and put in best guesses for peak positions. Using these ...
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### Performing a nonlinear fit from data imported from a text file

I have a text file data that I imported and I want to fit it with a given equation. I tried to fit but it did not work and gives Here is my code: ...
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### Fitting two equations to diferent parts of the same dataset

I have a system that transit between two different states. Each state output varies linearly with time, given by $m t+c$, where both lines intersect the $x$ axis in the same point. The output of this ...
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### Nonlinearfit with incomplete data

Suppose I have an ODE model and some incomplete time series data data = {{0,1},{5,6.2},{14,18.4},{28,57.3},{90,105.2},{180,98}} My question, can I still use ...
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### Problem using NonlinearModelFit to 2 coupled differential equations

I am trying to find the parameters of a set of differential equations given experimental data. Before I tackled my set of 12 equations, I tried to solve a simpler and similar 2 equation system but ...
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### How do I make LinearModelFit flexible to number of parameters using FromLetterNumber?

I want to run LinearModelFit where the number of parameters is not fixed. For example, the following ...
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### How to improve my fit?

I use the following code to fit some data given in a previous question of mine: ...
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### What is wrong with my fit?

I am trying to fit the following data: data = Import["https://pastebin.com/raw/gHdYLCbA", "Table"] I use the following code: ...