Questions tagged [performance-tuning]
Questions on optimizing Mathematica code for higher performance. This may mean faster execution, lower memory usage or both. Not to be confused with mathematical optimization.
2,908
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Speed up this computation involving NSolve many times?
Can you think of a way of speeding up this computation ? I don't.
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42
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Is it possible to improve the timing of multiple for loops? [closed]
I'm working on a project to describe thermal lensing in a cylindrical crystal. The current code has a complete working calculation that calculates the temperature distribution of a cylindrical crystal,...
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4
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2
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+50
Optimizing an ODE fitting algorithm with interpolated data
Given data, I want to find parameters $p_1,p_2,k_1,k_2>0$ that fit the following ODE system
$$
\begin{align}
b'(t)&=p_1 a(t)-k_1b(t)\\
c'(t)&=p_2b(t)-k_2c(t)
\end{align}
$$
where $a(t)$ is ...
- 4,177
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Performance of multiplying two identity matrices
I am running Mathematica 13.3.1.0 on a M1 Mac, and I ran the following codes to check on the time spent on matrix multiplication.
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- 513
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1
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How to most responsively manipulate time intervals in ParametricPlot?
I often met with the case where I want to show the past trajectory of a object. A way of demonstrating this is to plot the trajectory using ParametricPlot, and then ...
- 9,518
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26
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NMaximize simple function
I am trying to solve a maximisation using Mathematica. The objective function, though involved, can be broken down into many simpler terms. One of these terms is ...
- 977
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3
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281
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Is there a faster way to compose a large number of random Gaussians?
I'm looking for a more efficient way to generate an image with a large number of randomly coloured Gaussians. Here's the code I'm using:
...
- 23.7k
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501
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How to use Compile to optimize the performance of a function calculating the distance between two points?
I want to create a function that finds the real space distance between two three-dimensional points. Each point is a list of three real numbers.
I can create functions ...
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Optimize grouping of list of lists by elements
I have a sorted list of lists of size ~200,000 x 3. The data are such that the first element of each triplet loops through i = 1, 1.1, 1.2, ..., 199.9, 200, and for every value of i, the second ...
- 11
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91
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How to improve the speed of tables in Mathematica?
As shown in the figure, I want to assign values to the defined very big function ff one by one, where ff has variables [t, x, v1, v2]. The speed of this Table operation is very slow, how can I improve ...
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Why Does Part Work Much Slower on Modified List?
Consider the following list:
tabb = RandomReal[{0.0000001, 10^5}, {10^6, 80}];
I want to extract, e.g., the columns from 1 to 20. It is reasonably fast:
...
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3
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1
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Fast multivariate Cauchy sampling?
I've been using the code below to efficiently sample from multivariate Gaussian with diagonal covariance matrix. Now I want to try the same for Cauchy samples, however replacing ...
- 8,081
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Attempt to find a solution (out of potentially many) to a system of equations with FindInstance runs forever or crashes
I have a system of equations that in principle should have a solution (I would think not a unique one), which I want to solve. I am not interested in all solutions; I just want to locate one, assuming ...
- 561
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62
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Weird slowdown on data returned by compiled function (bug?)
Mathematica 13.1 - I was cleaning up some computations and I got a x3 time increase when I reduced things to loop over.
Full context is a bit convoluted, I stripped the most I could but the problem ...
- 489
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43
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FindMinimum with many Sums and NIntegrates is very slow
I want to calculate the global minimum of an equation which has several hundred Sums (I used 300 in this code), but the calculation is very slow.
My code is as ...
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115
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2
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1
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66
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Efficient ways to generate a matrix from multiplying two elements of some matrix
I am working on the single particle entanglement entropy and in the process I have something like
...
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1
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87
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Speed Up Plotting of Mathieu Equations
I am trying to plot Mathieu Functions, running for an hour without a result. Here is my code:
First define the relevant physical constant:
...
8
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2
answers
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Better code for Ramsey partitions
Ramsey partitions for parameters $a$ and $b$ are certain integer partition of $a+b$ developed by McAvaney, Robertson, and Webb (Combinatorica 1992) for applications in fair division problems where two ...
- 309
2
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3
answers
252
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How can I optimise the creation of subsets?
I have a list of 21 elements from which I have obtained possible combinations of minimum 3 and up to 10 elements using the Subsets function as follows:
...
- 189
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0
answers
81
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Is there a way to optimize it for larger n?
This is Domen's code from my previous thread here. I think it covers all the cases that I mentioned there and works well for small values of n. However, for large ...
- 2,411
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Why can't NSolve find values that FindInstance can?
I am trying to solve for \[Epsilon], given three input paramters n, x and ...
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1
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155
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Performance of polynomial functions in Mathematica vs Python [closed]
I am trying to compare the performance of Mathematica vs Python for vectorized operations involving polynomials. The data is floatMatrix which has dimensions (...
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2
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158
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5
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4
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181
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Joining constant arrays determined by a subsequence of contiguous block of ones
I have the following:
data = {15, 25, 35, 45, 55, 65, 75, 85, 95, 105};
selector = {0, 1, 1, 0, 1, 1, 1, 0, 0, 0};
I want to create the following list from ...
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41
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CUDADot (CUDA) taking longer than indicated by //AbsoluteTiming (~500x)
I'm using MMA 13.3 with a fresh install of cuda toolkit version 12.2. CUDADot is not as fast as indicated by absolute timing.
Running the commands found here
(https://reference.wolfram.com/language/...
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2
votes
2
answers
102
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Optimization of a Markov сhain with symbolic transition rate
I am trying to work on 1D random walk that can move to left, right or stay with probabilities $p_i$,$q_i$,$r_i$ that changes with the site $i$. I am trying to simulate this by using a recurrence ...
- 160
1
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answers
53
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Alternative to simplification speed-up by replacing an integer with its "non-exact" counterpart
This is a safe setting which assured that all of the equations I want to simplify are actually fully simplified:
...
- 201
3
votes
1
answer
192
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Improve performance of Linear Optimization
EDIT
I am reframing the question here by pulling out the relevant part about linear optimization, you can find the original question and the entire code down below.
I am trying to increase the ...
- 414
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674
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How can I make Manipulate faster?
I'm happy with the result of the graph I made, but it runs very slowly. How can I make it lighter and faster?
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0
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0
answers
57
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Using compile with indexed variables
I have the following piece of code which I made faster by using compile. I make the following definitions
...
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58
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Complicated expressions involving hypergeometric functions
This is in relation to my last post which was unanswered but I think I may have found somewhat of a workaround. I have the following preliminary definitions
...
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85
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Trying to use Linear Optimization to solve inequalities
I am trying to use Mathematica to get bounds on some quantities using a certain procedure which is called conformal bootstrap. For the users who don't come with a background in HEP, I am basically ...
- 185
1
vote
1
answer
65
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Implement function over lists efficiently, instead of per-element
I have a function, which takes the numeric values
d1,d2,p1,p2,s
as input, and should return:
{d1,d2} if ...
- 205
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votes
1
answer
54
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NMinimze cant find points that satisfy constraints
NMinimize cant find solutions for a function which clearly has one. Setting a working precision resulted in some output, however with error messages about tolerance and precision.
Heres my code. The ...
- 414
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votes
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469
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How to find the most repeating row?
Consider the following table:
tab={{1,0,0,1},{1,0,0,1},{0,1,0,1},{1,0,0,1},{0,0,0,1},{1,0,0,0},{0,1,0,1}}
Could you please tell me whether there is a command which ...
- 4,642
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51
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How to compile a code with a table having varying number of columns?
Consider the following table:
...
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164
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How to show the limit of two functions in a code approach zero?
I don't know how to shorten the program, the entire code is required to understand everything:
...
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0
answers
65
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Numerical Error using compile
I'm trying to compile a function and I'm running into the following error
CompiledFunction::cfne : Numerical error encountered; proceeding with uncompiled evaluation.
I think I have succeeded in ...
- 414
2
votes
1
answer
50
views
Defining a function using just compilable functions
I need to define a function that takes an input and if and only if its a positive real, outputs the input. If not, the output should be 0. The input could be complex valued or indeterminate.
Heres ...
- 414
0
votes
1
answer
110
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Performance improvements using Table and Compile
I'm converting a code from MatLab to Mathematica. It takes MatLab less than a second to compute it while its more than ten minutes in Mathematica. I was hoping to improve the performance.
Here's a ...
- 414
5
votes
1
answer
80
views
Is it possible to improve the speed where parallelization is not efficient?
I tried to use Parallelize but did not boost the speed. how can improve the speed?
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- 4,265
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201
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Defining a "pathway" from a list of points
1. Description of Pathway
1.1 Preliminary Definitions
Let $A=[-2,2]^2$, where $\text{Area}(A)=16$ and $\lceil \cdot\rceil$ is the ceiling function.
For $\varepsilon\in\mathbb{R}$, let $\left\{U_i\...
- 39
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0
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167
views
>100 GB of memory used by Reduce. Am I doing something wrong?
Newish to Mathematica here. I'm running some code to compute regions of the parameter space where the covariance between innovations is positive or negative. On my Windows PC, it's been running for ...
8
votes
4
answers
704
views
Design a function that gives all strict partitions of an integer
A strict partition of an integer has all distinct parts. There are no duplicates like 1 in {5,3,1,1} for 10. All the parts are unique. Sylvester created a bijection between the partitions of an ...
- 1,663
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Make a recursive function for computing a matrix faster
I have a function below called inverseKostkaHelper (see belos) which
I want to make faster.
It takes two integer partitions as arguments, (both with the same total ...
- 2,449
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votes
2
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782
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How to speed up this small 2D graphics code?
The following code is very slow, with Mathematica 13.2 on a Mac Silicon M2 Pro:
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- 3,959
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170
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How to create an Xlookup function (similair to Excel)
Edit: I have added table3, which is closer to my real life use case and timings of the code
Edit 2: I have added table4, which ...
4
votes
1
answer
97
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Building projection operators efficiently
The projection operator $P$ is defined in quantum mechanics as $$
P=\sum_i^n \vert\psi_i\rangle \langle \psi_i\vert, $$
where $\vert\psi_i\rangle$ is a column vector and $(\langle
\psi_i\vert=(\...
- 279