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Questions tagged [mathematical-optimization]

Questions on the optimization functions of Mathematica such as FindMinimum/FindMaximum, Minimize/Maximize, NMinimize/NMaximize, etc.

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6
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2answers
154 views

How to find alignments of interlocking shapes?

I'm searching for the ways to align interlocking shapes, that is, finding the locations and rotations that maximize the arc length at which they touch. For simplicity, I'm assuming 'shapes' are one ...
6
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1answer
335 views

What is wrong about Abs[x]-a? Is it a bug?

Why is the Out[74] not {1 - a, {x -> -1}}? ...
6
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1answer
141 views

Steiner Trees for Unit Polygons?

I know this is a longshot, and it's a rather broad question, but hopefully someone can help. Is there a simple or fast way to find Steiner Trees for unit polygons using Mathematica? By unit polygon, I ...
6
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1answer
165 views

Why don't optimization functions like FindMinimum work with functions like BSplineFunction? [duplicate]

Take a simple BSplineFunction and evaluate it at 0.25. ...
6
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1answer
208 views

Easy FindMaximum returns a wrong answer

FindMaximum in region is a new function in mma10,but when I tried the following example: ...
6
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2answers
292 views

Using least independent rectangle area to separate every point

Description I want to add vertical line and horizonal lines between data to make every point have an independent rectangle area. In addtion, every independent rectangle has a number $1,2,3,4,5,\ldots$...
6
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1answer
350 views

Numerical problems with calculation of function

I have a problem with a calculation which I try to do with Mathematica (8.0.1). I have the following function which describes a cone (with half opening angle theta)...
6
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5answers
178 views

Maximizing efficiency of a power-tower (tetration) calculation

I'm working on a power tower $\displaystyle z^{z^{.^{.^{.}}}}$ and wish to maximize the efficiency of my algorithm to compute a cycle map. This is a color-coded diagram of the cycle period of each ...
6
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1answer
370 views

How is INTEGER linear programming implemented in the Mathematica LinearProgramming function?

I was surprised to see that, for d = 1000, b = 800, Mathematica solves an integer linear (LP) program such as ...
6
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2answers
123 views

Maximise output issue

When I execute the following command, I get a numerical output as follows: ...
6
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1answer
540 views

Mathematica vs Sigmaplot (Non LinearModelFit)

I asked a question in a previous post that was closed because "The title of the question is not correct and the issue here is too trivial to help anyone later". https://mathematica.stackexchange.com/...
6
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1answer
213 views

Tremendous bug using EstimatedDistribution (using NMinimize) in v8.0 and v10.2

Let's define F4 and estimate the distribution of the data: ...
6
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1answer
345 views

Simulated Annealing, SearchPoints and InitialPoints options set at the same time

I have a function that needs to be minimized. Since the function depends on real-time data (which is fetched every few hours, and the function is redefined according to the new data), I have to run ...
6
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1answer
393 views

Speeding up the non-negativity algorithm for multilinear function with interval probabilities?

The algorithm is a branch-and-bound algorithm that calculates the non-negativity of a multilinear function with interval probabilities. The lines 9-11 has an optimization that is explained on the 10-...
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0answers
58 views

Status of DualLinearProgramming

DualLinearProgramming is referenced in this tutorial tutorial/ConstrainedOptimizationLinearProgramming It exists in ...
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0answers
86 views

Caveats of LinearProgramming on Integers domain

When using LinearProgramming with the Integers domain, Mathematica issues the following warning: ...
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0answers
114 views

Optimize a network topology?

I'd like to know if one can use optimization function like Maximize[] or BayesianMaximize[] to optimize the hyper-parameters of ...
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0answers
327 views

Is there an analogue of Evaluated->False (in FindRoot) for FindMinimum?

I guess functions like FindRoot, FindMinimum, etc puts the estimation number into the expression, and then do other calculations....
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0answers
227 views

How to perform Bayesian optimization with Mathematica? [duplicate]

Does Mathematica have any Bayesian optimization methods for learning hyper-parameters? Practical Bayesian Optimization of Machine Learning Algorithms Jasper Snoek, Hugo Larochelle and Ryan P. ...
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0answers
418 views

Custom Methods for NMinimize/NonLinearModelFit

Is there a way to write custom methods for NonLinearModelFit or NMinimize? To give background, I currently have a batch of code ...
6
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0answers
90 views

Listable compiled functions used in NMinimize [duplicate]

This is an example from MMA: cListable = Compile[{x}, (x-1)^2, RuntimeAttributes -> {Listable}] In case of single entry: ...
6
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0answers
384 views

Problems extending NelderMeadMinimize into 2D

Update The eventual route I followed was to adapt a version of the NM-simplex written in C and link to it with MathLink. Once I've tested this out fully I'll post it here. I've been playing around ...
6
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0answers
459 views

Simulated Annealing Parameters and Results [closed]

I am using SimulatedAnnealing method for a simulation based optimization problem and was wondering if someone can enlighten me on the following features: Is there ...
6
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0answers
202 views

Issue with FindCurvePath

I have a problem with the function FindCurvePath. In some cases it crashes the Mathematica 9 Kernel. Here an example, where it crashes the kernel: ...
5
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4answers
799 views

Minimal overlap area of circles

I have 20 points in the 2D plane with $(x_i,y_i)$ coordinates. I want to use Mathematica to optimally distribute 10 circles with equal radius of a given positive value $R$, i.e. to determine with the ...
5
votes
5answers
177 views

For a polynomial F with dependence on a parameter beta, find the value of beta for which F has 2 positive roots

Good morning, I have the following polynomial with degree 4 and its coefficients are quadratic functions of a parameter beta: ...
5
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2answers
192 views

Finding the maximal `t` at which `u[x,t] == 1`?

Given the smooth function u[x,t] on a domain, how do I find the maximal t at which ...
5
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2answers
849 views

Finding minimum and maximum of implicit functions

The equations of the system are ...
5
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2answers
2k views

Can't find maximum of a function on a region

for h=0.2 I'm trying to find the maximum value of (-h^2/3)*(-1/x^2) subject to ...
5
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2answers
419 views

Optimum number of cog teeth for two step helical gearbox

Note: Cross-posted at http://community.wolfram.com/groups/-/m/t/137895?p_p_auth=8QnKtT9I. I am to design a two step gearbox. The first step is to choose the number of teeth in each cog wheel in ...
5
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2answers
743 views

What alternative notation of subscripts/superscripts that are also treated as SYMBOLS in Mathematica?

I tried to avoid using the subscript $A_0$ in the Module, and get an error with $A[0]$. ...
5
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4answers
572 views

Minimax optimization in Mathematica

Mathematica has functions for constrained nonlinear maximization or minimization of functions, via FindMinimum and FindMaximum ...
5
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3answers
1k views

FindMinimum works only if you know the answer

I am processing SNe Ia data and using FindMinimum to try and extract two values: t1 and a0. The FindMinimum value works only if I supply values that are close to the answer. If I provide no starting ...
5
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2answers
282 views

Minimize distance between two lists

Writing: ...
5
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3answers
103 views

Selection of lists among list of lists to maximize coverage and avoid repetitions

There is a list of 'list of consecutive integers'. There could be a single integer as well. Example list: ...
5
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1answer
3k views

Finding peaks of data

I want to find peaks in my data. My code in a reduced form so far: ...
5
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3answers
1k views

Extrema of a function of three variables

To identify and classify the critical points of the function $f(x,y,z)=x^3+xz^2-3x^2+y^2+2z^2$, I used the Hessian matrix method. ...
5
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2answers
488 views

Visualizing maximum value of $x^TAx$

Consider the matrix $$A=\begin{bmatrix} 3 & 2 & 1\\ 2 & 3 & 1\\ 1 & 1 & 4 \end{bmatrix}$$ which leads to the quadratic form $$x^TAx=3x_1^2+3x_2^2+4x_3^2+4x_1x_2+2x_1x_3+...
5
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1answer
266 views

need help to enter the orthogonal sign, the upside down T.

I have search on Google and never came across any idea how to enter this damn sign. would anyone give me some hint?
5
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1answer
320 views

Optimizing a rank 3 tensor

Assume we have the following elements \begin{equation} F_i{}^j \;and\; S_{ij}{}^k, \end{equation} which represent the components of tensorial objects of ranks 2 and 3 respectively, with Complex ...
5
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1answer
214 views

Why is this minimization with Boole functions failing?

I am running this command in Mathematica 8.0.4.0: ...
5
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1answer
261 views

Getting message Maximize::ztest: — how should I deal with it?

I am working on a maximization problem of the form Maximize[{f, cons}, {x, y, ...}] Mathematica outputs a warning and a result. The warning is Maximize::ztest:...
5
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2answers
444 views

How can I force Mathematica to not symbolically evaluate a function used for NMaximize without redefining it?

As per the title, consider the following trivial example: f[x_] := (Print[x]; -x^2 + 10 x) NMaximize[ f[x], x ] (* x *) (* {25., {x -> 5.}} *) Now, as the ...
5
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1answer
1k views

Fitting one function to another

I'd like to see how close I can fit an exponential function to a cosine function in the domain of $\;-\frac{\pi}{2}$ to $\frac{\pi}{2}$ in the least squares sense. ...
5
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3answers
77 views

Approximate strictly positive solution to a linear set of equations?

Consider a positive matrix M and a positive vector b, e.g. ...
5
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3answers
1k views

How to fit parameters in a system of coupled differential equations

Problem description: I'm studying a chemical reaction that can be modeled by a system of coupled differential equations, and I want to use measured data to determine the parameters that appear in the ...
5
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1answer
309 views

How to obtain better speed performance with NMinimize over a complicated objective function?

Edit.1: I've rewritten the question in order to make it more accessible for troubleshooting / debugging / maintenance purposes, as suggested in the comments. I apologize for any inconvenience. I'm ...
5
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2answers
372 views

How to transform Maximize[…] to LinearProgramming[…]?

I have an optimization problem that looks something like this: Maximize[{1+x+3*y,0<=x<=1 && x+2*y<=4},{x,y}] Now, I want to use Linear ...
5
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1answer
496 views

Maximize vs FindMaximum

This can be thought of as follow-up to this question. The question is, simply, can anyone explain why both Maximize[] and ...
5
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2answers
253 views

Parallel function evaluation for minimal value

I am asking myself, if the evaluation of a function f looking for a minimal value over a discrete set of values can be parallelize (brute scan for a potential ...