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Symbolic regression: Can/has this be don...

C_R 3562 Maple
optimization symbolic regression
Yesterday at 1:07 PM
1 9

By symbolic regression I mean an algorithm that determines a model (fit function) that fits best to a data set.

Are there any commands, packages, libraries or MaplesPrime post that are helpful in this regrad?

Edit: For the data set below a symbolic regression algortihm returns "simple" models (formulas)  that use a "minimal" number of terms.

data_set := [[0, 0.], [.1, -0.192545973e-2], [.2, -0.57548536e-2], [.3, -0.93691571e-2], [.4, -0.116497299e-1], [.5, -0.122768958e-1], [.6, -0.114535757e-1], [.7, -0.96377097e-2], [.8, -0.73398894e-2], [.9, -0.50026258e-2], [1.0, -0.29489933e-2], [1.1, -0.13773796e-2], [1.2, -0.3802267e-3], [1.3, 0.288809e-4], [1.4, -0.1112403e-3], [1.5, -0.7312233e-3], [1.6, -0.1747389e-2], [1.7, -0.3072868e-2], [1.8, -0.4624615e-2], [1.9, -0.6327418e-2], [2.0, -0.8115810e-2], [2.1, -0.9934627e-2], [2.2, -0.11738712e-1], [2.3, -0.13492153e-1], [2.4, -0.15167275e-1], [2.5, -0.16743558e-1], [2.6, -0.18206567e-1], [2.7, -0.19546942e-1], [2.8, -0.20759491e-1], [2.9, -0.21842382e-1], [3.0, -0.22796451e-1], [3.1, -0.23624612e-1], [3.2, -0.24331323e-1], [3.3, -0.24922213e-1], [3.4, -0.25403690e-1], [3.5, -0.25782692e-1], [3.6, -0.26066441e-1], [3.7, -0.26262258e-1], [3.8, -0.26377439e-1], [3.9, -0.26419110e-1], [4.0, -0.26394196e-1], [4.1, -0.26309316e-1], [4.2, -0.26170744e-1], [4.3, -0.25984403e-1], [4.4, -0.25755853e-1], [4.5, -0.25490243e-1], [4.6, -0.25192364e-1], [4.7, -0.24866612e-1], [4.8, -0.24517040e-1], [4.9, -0.24147342e-1], [5.0, -0.23760880e-1], [5.1, -0.23360701e-1], [5.2, -0.22949566e-1], [5.3, -0.22529948e-1], [5.4, -0.22104070e-1], [5.5, -0.21673916e-1], [5.6, -0.21241260e-1], [5.7, -0.20807663e-1], [5.8, -0.20374513e-1], [5.9, -0.19943032e-1], [6.0, -0.19514256e-1], [6.1, -0.19089134e-1], [6.2, -0.18668453e-1], [6.3, -0.18252883e-1], [6.4, -0.17843021e-1], [6.5, -0.17439353e-1], [6.6, -0.17042293e-1], [6.7, -0.16652162e-1], [6.8, -0.16269229e-1], [6.9, -0.15893717e-1], [7.0, -0.15525760e-1], [7.1, -0.15165506e-1], [7.2, -0.14812994e-1], [7.3, -0.14468255e-1], [7.4, -0.14131340e-1], [7.5, -0.13802188e-1], [7.6, -0.13480766e-1], [7.7, -0.13167023e-1], [7.8, -0.12860860e-1], [7.9, -0.12562203e-1], [8.0, -0.12270906e-1], [8.1, -0.11986869e-1], [8.2, -0.11709977e-1], [8.3, -0.11440094e-1], [8.4, -0.11177068e-1], [8.5, -0.10920752e-1], [8.6, -0.10671030e-1], [8.7, -0.10427731e-1], [8.8, -0.10190686e-1], [8.9, -0.9959797e-2], [9.0, -0.9734839e-2], [9.1, -0.9515736e-2], [9.2, -0.9302291e-2], [9.3, -0.9094362e-2], [9.4, -0.8891836e-2], [9.5, -0.8694538e-2], [9.6, -0.8502346e-2], [9.7, -0.8315094e-2], [9.8, -0.8132637e-2], [9.9, -0.7954917e-2], [10.0, -0.7781747e-2]]

[[0, 0.], [.1, -0.192545973e-2], [.2, -0.57548536e-2], [.3, -0.93691571e-2], [.4, -0.116497299e-1], [.5, -0.122768958e-1], [.6, -0.114535757e-1], [.7, -0.96377097e-2], [.8, -0.73398894e-2], [.9, -0.50026258e-2], [1.0, -0.29489933e-2], [1.1, -0.13773796e-2], [1.2, -0.3802267e-3], [1.3, 0.288809e-4], [1.4, -0.1112403e-3], [1.5, -0.7312233e-3], [1.6, -0.1747389e-2], [1.7, -0.3072868e-2], [1.8, -0.4624615e-2], [1.9, -0.6327418e-2], [2.0, -0.8115810e-2], [2.1, -0.9934627e-2], [2.2, -0.11738712e-1], [2.3, -0.13492153e-1], [2.4, -0.15167275e-1], [2.5, -0.16743558e-1], [2.6, -0.18206567e-1], [2.7, -0.19546942e-1], [2.8, -0.20759491e-1], [2.9, -0.21842382e-1], [3.0, -0.22796451e-1], [3.1, -0.23624612e-1], [3.2, -0.24331323e-1], [3.3, -0.24922213e-1], [3.4, -0.25403690e-1], [3.5, -0.25782692e-1], [3.6, -0.26066441e-1], [3.7, -0.26262258e-1], [3.8, -0.26377439e-1], [3.9, -0.26419110e-1], [4.0, -0.26394196e-1], [4.1, -0.26309316e-1], [4.2, -0.26170744e-1], [4.3, -0.25984403e-1], [4.4, -0.25755853e-1], [4.5, -0.25490243e-1], [4.6, -0.25192364e-1], [4.7, -0.24866612e-1], [4.8, -0.24517040e-1], [4.9, -0.24147342e-1], [5.0, -0.23760880e-1], [5.1, -0.23360701e-1], [5.2, -0.22949566e-1], [5.3, -0.22529948e-1], [5.4, -0.22104070e-1], [5.5, -0.21673916e-1], [5.6, -0.21241260e-1], [5.7, -0.20807663e-1], [5.8, -0.20374513e-1], [5.9, -0.19943032e-1], [6.0, -0.19514256e-1], [6.1, -0.19089134e-1], [6.2, -0.18668453e-1], [6.3, -0.18252883e-1], [6.4, -0.17843021e-1], [6.5, -0.17439353e-1], [6.6, -0.17042293e-1], [6.7, -0.16652162e-1], [6.8, -0.16269229e-1], [6.9, -0.15893717e-1], [7.0, -0.15525760e-1], [7.1, -0.15165506e-1], [7.2, -0.14812994e-1], [7.3, -0.14468255e-1], [7.4, -0.14131340e-1], [7.5, -0.13802188e-1], [7.6, -0.13480766e-1], [7.7, -0.13167023e-1], [7.8, -0.12860860e-1], [7.9, -0.12562203e-1], [8.0, -0.12270906e-1], [8.1, -0.11986869e-1], [8.2, -0.11709977e-1], [8.3, -0.11440094e-1], [8.4, -0.11177068e-1], [8.5, -0.10920752e-1], [8.6, -0.10671030e-1], [8.7, -0.10427731e-1], [8.8, -0.10190686e-1], [8.9, -0.9959797e-2], [9.0, -0.9734839e-2], [9.1, -0.9515736e-2], [9.2, -0.9302291e-2], [9.3, -0.9094362e-2], [9.4, -0.8891836e-2], [9.5, -0.8694538e-2], [9.6, -0.8502346e-2], [9.7, -0.8315094e-2], [9.8, -0.8132637e-2], [9.9, -0.7954917e-2], [10.0, -0.7781747e-2]]

 (1)

plots:-pointplot([[0, 0.], [.1, -0.192545973e-2], [.2, -0.57548536e-2], [.3, -0.93691571e-2], [.4, -0.116497299e-1], [.5, -0.122768958e-1], [.6, -0.114535757e-1], [.7, -0.96377097e-2], [.8, -0.73398894e-2], [.9, -0.50026258e-2], [1.0, -0.29489933e-2], [1.1, -0.13773796e-2], [1.2, -0.3802267e-3], [1.3, 0.288809e-4], [1.4, -0.1112403e-3], [1.5, -0.7312233e-3], [1.6, -0.1747389e-2], [1.7, -0.3072868e-2], [1.8, -0.4624615e-2], [1.9, -0.6327418e-2], [2.0, -0.8115810e-2], [2.1, -0.9934627e-2], [2.2, -0.11738712e-1], [2.3, -0.13492153e-1], [2.4, -0.15167275e-1], [2.5, -0.16743558e-1], [2.6, -0.18206567e-1], [2.7, -0.19546942e-1], [2.8, -0.20759491e-1], [2.9, -0.21842382e-1], [3.0, -0.22796451e-1], [3.1, -0.23624612e-1], [3.2, -0.24331323e-1], [3.3, -0.24922213e-1], [3.4, -0.25403690e-1], [3.5, -0.25782692e-1], [3.6, -0.26066441e-1], [3.7, -0.26262258e-1], [3.8, -0.26377439e-1], [3.9, -0.26419110e-1], [4.0, -0.26394196e-1], [4.1, -0.26309316e-1], [4.2, -0.26170744e-1], [4.3, -0.25984403e-1], [4.4, -0.25755853e-1], [4.5, -0.25490243e-1], [4.6, -0.25192364e-1], [4.7, -0.24866612e-1], [4.8, -0.24517040e-1], [4.9, -0.24147342e-1], [5.0, -0.23760880e-1], [5.1, -0.23360701e-1], [5.2, -0.22949566e-1], [5.3, -0.22529948e-1], [5.4, -0.22104070e-1], [5.5, -0.21673916e-1], [5.6, -0.21241260e-1], [5.7, -0.20807663e-1], [5.8, -0.20374513e-1], [5.9, -0.19943032e-1], [6.0, -0.19514256e-1], [6.1, -0.19089134e-1], [6.2, -0.18668453e-1], [6.3, -0.18252883e-1], [6.4, -0.17843021e-1], [6.5, -0.17439353e-1], [6.6, -0.17042293e-1], [6.7, -0.16652162e-1], [6.8, -0.16269229e-1], [6.9, -0.15893717e-1], [7.0, -0.15525760e-1], [7.1, -0.15165506e-1], [7.2, -0.14812994e-1], [7.3, -0.14468255e-1], [7.4, -0.14131340e-1], [7.5, -0.13802188e-1], [7.6, -0.13480766e-1], [7.7, -0.13167023e-1], [7.8, -0.12860860e-1], [7.9, -0.12562203e-1], [8.0, -0.12270906e-1], [8.1, -0.11986869e-1], [8.2, -0.11709977e-1], [8.3, -0.11440094e-1], [8.4, -0.11177068e-1], [8.5, -0.10920752e-1], [8.6, -0.10671030e-1], [8.7, -0.10427731e-1], [8.8, -0.10190686e-1], [8.9, -0.9959797e-2], [9.0, -0.9734839e-2], [9.1, -0.9515736e-2], [9.2, -0.9302291e-2], [9.3, -0.9094362e-2], [9.4, -0.8891836e-2], [9.5, -0.8694538e-2], [9.6, -0.8502346e-2], [9.7, -0.8315094e-2], [9.8, -0.8132637e-2], [9.9, -0.7954917e-2], [10.0, -0.7781747e-2]])

  

CurveFitting:-Interactive(data_set)

NULL

Download regression_dataset.mw

Typesetting: What does this example demo...

C_R 3562 Maple
typesetting typeset
Yesterday at 7:44 AM
1 2

I do not understand the following typesetting example from this helpage.

> 

with(Typesetting)
> 

interface(typesetting = extended)
> 

Typeset(BesselJ(v, x))

BesselJ(v, x)

 (1)

NULL

Same output without Typeset

BesselJ(v, x)

BesselJ(v, x)

 (2)

NULL

Download Typeset.mw

Why the Typeset call when the output does not change. Is the helppage maybe broken? It says Examples but lists only one.

If MapleSoft read this: Some more typesetting examples would be helpfull.

Why are roots mixed in this plot, and ho...

C_R 3562 Maple
plot plot3d rootof
December 05 2025
1 9

In the below plot switches between to solutions of a RootOf expression when the plot range starts at zero.

plot3d on the other hand sticks to one root.

Why is that and how to get a plot starting at zero showing only one root?

restart

a := RootOf(JacobiCN(sqrt(2)*sqrt(alpha), (1/2)*sqrt(2)*_Z)^2*_Z^2+_Z^2-2)

RootOf(JacobiCN(2^(1/2)*alpha^(1/2), (1/2)*2^(1/2)*_Z)^2*_Z^2+_Z^2-2)

 (1)

allvalues(a)

RootOf(JacobiCN(2^(1/2)*alpha^(1/2), (1/2)*2^(1/2)*_Z)^2*_Z^2+_Z^2-2)

 (2)

plot(a, alpha = 0 .. .5)

  

eval(a, [alpha = 1/20])

RootOf(JacobiCN((1/20)*2^(1/2)*20^(1/2), (1/2)*2^(1/2)*_Z)^2*_Z^2+_Z^2-2)

 (3)

evalf(allvalues(RootOf(JacobiCN((1/20)*2^(1/2)*20^(1/2), (1/2)*2^(1/2)*_Z)^2*_Z^2+_Z^2-2)))

1.024662619, -1.024662619

 (4)

_ValuesMayBeLost

true

 (5)

plot3d(a)

  

NULL

Download plot_of_RootOf.mw

Are these hyperlink crashes reproducible...

C_R 3562 Maple 2025
worksheet crash hyperlink
November 30 2025
1 1

On Windows 11.

When I insert a link to a worksheet Maple 2025 crashes (also with the Screen Reader version).

When I click on a hyperlink to a workbook in a document created with Maple 2024, Maple 2025 crashes.

Is this reproducible?

Edit:

Also opening a workbook crashes Maple 2025 (i.e. no hyperlinks involved)

Check for Updates not working...

C_R 3562 Maple 2025
update duplicate-question
November 15 2025
0 1

I get this message:

Why is it not working using the menu?

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