Questions tagged [fitting]
Questions on the use of Mathematica to construct models for approximating empirical data.
1,574
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Goodness of fit
I want to evaluate the goodness of two sets or more fitting parameters, using Rsquared and RMSE (root mean square error), Then how to code?)
...
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1
answer
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Finding fit parameters for a 2-dimensional matrix of data if the value of some parameters depend on the row and others on the column
I have some 2-dimensional data of dimension n x m that I suspect has the following structure:
...
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1
answer
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Find the parameter in NDSolve giving the desired solution
EDIT: I've edited many times because the system gives errors when the body is modified all at once.
I've simplified the problem. The simplification consists of having reduced the number of parameters ...
4
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1
answer
110
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FindDistribution and parameters
If I generate some data using
data = RandomVariate[NormalDistribution[5, 3], 100]
Then find the distribution using
(1) ...
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0
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32
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Norm adding up residual
For FindFit I want to have a norm that just sums up all residuals.
For the sum of absolute values there is NormFunction -> (Norm[#, 1] &), but I don't know ...
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2
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1
answer
151
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1
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2
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FindFit; not a valid variable [closed]
I am trying to fit the function in model, however I get
General::ivar: 5000.` is not a valid variable.
this error.
My code is that and
...
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0
votes
1
answer
47
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Interpreting Confidence Intervals From NonLinearModelFit
I recently applied a model to some example data using nonlinearmodelfit and, while the fit was seemingly good (R^2=0.987) and the returned parameters were mostly in line with expectations without ...
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0
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35
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Nonlinear Model Fit - Force a Constrain
I am trying to achieve the best fit for a non linear model, yet I need to ensure that certain coefficients return as positive values. I have been looking for similar questions but I have found nothing ...
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0
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1
answer
75
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Memory problems when fitting large (correlated) datasets
I am trying to fit some complicated function that depends on 18 parameters.
The problematic is that I have a large correlated dataset (336 points).
When fitting, for simplicity, taking only the ...
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3
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341
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0
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1
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62
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1
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Fit a parametric function to a ListPlot
Imagine I have a list of points that corresponds to points randomly placed on the circumference of a unit circle. I want code that fits a parametric curve corresponding to this list of points. Note ...
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1
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How can I fill this region?
How can I fill this region?
Plot[{x^2, x^2 - 2 x + 1}, {x, -2, 2},
PlotRange -> {Automatic, {0, 0.5}}, GridLines -> Automatic]
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How to recover the original function from a fitting?
Suppose I have an original function as follows
fun[x_] := 6*Exp[-4 x^2];
which has the following plot
Plot[fun[x], {x, 0, 4}, PlotRange -> All]
Then I produce ...
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3
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1
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1
answer
124
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How to fit a specific range of data?
Let me explain my question by a toy example: Suppose I have a simple Gaussian function as follows:
test[x_] = 4*Exp[-(x)^2];
If I its data to a new Gaussian ...
- 1,047
4
votes
4
answers
415
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Find fit function
I want to find a fit function for the following data. Can someone suggest the best-fit function for the following data? The upper part of the data set is difficult.
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Fitting data with weights in a Log-Log scale
I need help.
I have the following dataset:
...
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2
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161
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Is there a way to fit a piecewise linear function to a list?
I need to find a piecewise linear function that is a proper approximation for sunrise/sunset times of each day of year. Due to some limitations, I cannot use any trigonometric functions. So the sine-...
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Minimizing and marginalizing in Mathematica
Suppose there is a chi-squared function of several parameters, f(x,y,z),
and I have to fit one parameter, say "x", while the rest "y" and "z" have to be dealt with in a ...
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1
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0
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How to find the center of gravity of fibers in image
I am trying to find the centers of gravity of my particles in a SEM image. I binarized the image (img) and with the input and help of previous suggestions on that topic (Creating graph out of ...
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2
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Finding best polynomial approximation for function with complicated form and many terms [closed]
I have a function that contains 50 terms hence, it is a complicated-looking function. Now I expected it to be a polynomial function. How can I get this polynomial fit provided I don't have data, I ...
1
vote
1
answer
94
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Find best fit function for different data set with errors
I have the following 3 data sets for the same quantity with errors as shown in the figure in different colors. How to find the best fit function of 1) each data set separately 2) combined of the 3 ...
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4
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Fit data with NormalDistribution
Good day to all!
I have some data that I would like to fit with a normal distribution:
...
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1
answer
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1
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1
answer
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How to get a function out of NDSolve
I solved a function using NDSolve and got a result. I also have a plot of the function.
Could someone point me in the right direction how I can print the explicit data points and/or generate a fit ...
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0
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46
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How Mathematica searches prediction band lines?
After approximation, for example
model=NonlinearModelFit[data, a + b*x + c*x^2, {a, b, c}, x]
We can do this
...
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0
answers
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Fitting data using ParametricNDSolve
I have a system of differential equations that are solved using ParametricNDSolve, leaving two variables undefined (m1 and m2) so that they can be fitted to data later. However, Nonlinearmodelfit ...
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Search for fitting parameters for an inverse Laplace function
I am trying to find a suitable parameter for this function, which I got using the Talbot Inverse Laplace method.
But since I'm really not a pro in Mathematica, I don't know why I'm getting the ...
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2
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75
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Plotting data and fitting to a function
I have three sets of data. I would like to plot them in the same graph. Then plot the following fittings to the data. Any help is appreciated!
f(v) = (v^2)*exp(-mv^2/2 kb T)
f(v) = (v^3)*exp(-mv^2/2 ...
2
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6
answers
236
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Finding fit function for a given data
In the following, there is some data given. How to find the best fit function of one variable with multiple parameters that best describe this data? It's better to check the agreement on the ...
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votes
1
answer
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LogitModelFit to predict a categorical variable
I am trying to predict life expectancy based on GDP per capita and literacy rate. Life expectancy is coded as low and high, and the two predictor variables are numerical.
Here is some sample data:
<...
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vote
1
answer
90
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Fitting an Equation to an Image
I'm very new to data analysis and I'm trying to figure out how I can fit an equation to an image I generated from a large set of data I collected. I'd then want to overlap this plot to the image to ...
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2
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1
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How do i plot a graph for width vs height of the slits from an image
I need to calculate the width of the slits along the length of each slits. I am new to image processing in mathematica and I need to plot a graph showing how the width changes along the length.
I have ...
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5
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2
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238
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Fit function to histogram
I have a list:
histx={-56.6335, -57.2327, -57.8607, -57.9682, -57.0061, -57.1872,-56.9209, -56.1284,...};
I managed to create the histogram that I wanted to:
But ...
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1
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57
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Set up a distribution in LogLikelihood that depends on data
I want to define a loglikelihood function to perform a fit of some data points to a function, like the following, but using the native LogLikelihood[] function.
$
likelihood=\sum_{i}(Log{(\frac{1}{\...
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0
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Error in NonlinearModelFit for Complex differential Equation
I am trying to create a model that will fit data to a complex differential equation generated from NDSolve. The format that I have begins with ParametricNDSolveValue to find a general function where ...
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1
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Mathematica linear model fit to all data [closed]
I tried to use LinearModelFit[data, x, x] to fit linear curve to all data but I get an error:
The data looks like this:
Here is the file with data:data
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5
votes
2
answers
205
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Find Equation for Line Bounding Bottom of Scatter Plot
I have a scatter plot and I am trying to get the equation of a line that best fits the bottom bound of the data.
I started by taking some guesses for the best form of the boundary equation and used ...
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2
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Can the CopulaDistributions be fitted?
This is an immediate follow-up to DoAny--which I did consider editing, clarifying and correcting in some respects.
But perhaps here I can put the immediate question at hand more directly (the emphasis ...
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3
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Do any of the Mathematica CopulaDistributions (or others) fit well this sampled bivariate copula with uniform marginals over [0,1]?
I'm currently developing a data set that consists of two $50 \times 50$ matrices, which I designate as q1 and Q1. I strongly believe (bordering on formal proof [cf. Corollary 1 in marginalinvariance]) ...
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1
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(NLM @ Circular TimeSeries model ) == invalid phase confidence intervals
In the realm of TimeSeries of data with Circular Statistics, NonlinearModelFit (NLM) correctly generates reasonable Standard Error & confidence intervals for phase parameters (phaseCIs) with x-...
2
votes
1
answer
88
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Fitting data to a system of ODE
I have a system of two ODEs depending on two parameter k,h and I want to find the best k,h to fit some data. To understand if my code works I started generating some fake data from the equations. Here ...
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1
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Fit a good Lorentzian in mathematica
Good morning everyone,
regarding my research "high resolution laser spectroscopy" I would like to fit the data obtained from the experiment with a Lorentzian curve using Mathematica, so as ...
2
votes
2
answers
91
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Evaluating a FittedModel over a list of values
Simplified version
Using the simpler version suggested by @ulrich-neumann :
...
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