Questions tagged [parallelization]

Questions on parallel computing in Mathematica.

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2
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1answer
76 views

Parameter space search routine is too fast?

I wrote a small script to comb through the parameter space of a function looking for where the function satisfies a certain relation everywhere on its (co-ordinate space) domain. However, since I am ...
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49 views

Optimizing a parameter space search

This is related to my previous question: Solve for parameters so that a relation is always satisfied The Problem I am searching the parameter space of a large (many terms) function to find where the ...
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1answer
24 views

How to share multiple “tagged” functions (symbols) like f[a][b] in parallel kernels?

I would like to give some context: I need to analyse many data sets stored in files using different kind of analyses. To keep track I like to tag each results of my analysis for example like ...
1
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1answer
38 views

How to collect results from compiled function in ParallelEvaluate?

I am using Mathematica 12.x and have a compiled function, returning many things. I would like to run several instances of this compiled function, one for each core of my CPU, and then collect all of ...
3
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0answers
56 views

Efficient construction of a SparseArray from LIL (list of lists of column entries)

In Python scipy.sparse, there are methods to convert between CSR, CSC, LIL, DOK, etc. implementations of a sparse matrix. What is the most efficient way in Mathematica to construct a ...
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0answers
18 views

If statement in dynamic cluster query

I use a High-Performance Cluster for some of my work. I can dynamically see the state of the work but I couldn't use the If statement in the cluster query. I want to hear a sound when my work finishes....
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1answer
66 views

Use of ParallelDo with an iterative or recursive calculation

Is it possible to use ParallelDo (or any similar parallelization method) to speed up the calculation of an iterative calculation, which takes a previous calculation ...
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1answer
36 views

EvaluationObject not appearing

By using ParallelSubmit[1 + 2] the output is simply EvaluationObject[16,1+2,<>] I was expecting to see . Even in the ...
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2answers
92 views

Why is DistributeDefinitions taking so long with 100-300 Mb constants?

Why does DistributeDefinitions take so long to distribute variables that are 100-300 Mb in size? I am setting up ParallelTable ...
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0answers
57 views

How can I try to debug this discrepancy between Map and ParallelMap?

It is hard for me to present the actual set of functions that is prompting this question, because it is part of a very large code base. But to summarise, I have a setup like the following: ...
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2answers
88 views

Solving a diophantine equation in 'large' values

Let's first discuss what I am trying to solve: I want to solve the diophantine equation stated below for relatively 'large' values of $r$. $$\frac{a(a + 3)(a(r - 9) + (7 - r))}{12}=\frac{b (3 + b (-5 +...
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28 views

ParallelTable - performance problem

I noticed some issue while making parallel computations with Table loop. I noticed that when one of kernels finishes its part of job, it stops working and only rest of kernels work. But when ...
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4answers
322 views

Solving an equation in natural numbers

I am trying to solve the following equation in the Natural Numbers, with the condition $a\ge1$, $b\ge1$, and $r\ge3$: $$\frac{a(a + 3)(a(r - 5) + (12 - r))}{9}=\frac{b (9 + b (-14 + r) - r)}{3}\tag1$$ ...
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2answers
144 views

Finding the number of even numbers in Pascal's triangle (code gives memory error)

I have the following code: ...
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0answers
57 views

Running NonlinearModelFit in more one kernel simultaneously [closed]

I want to perform a nonlinear least square fit of data points upto 3000. Because the model I provide is huge polynomials with 300 to 400 fitting parameters to be estimated, my mac i7 computer proceeds ...
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0answers
37 views

What does it mean when $MaxLicenseProcesses returns Infinity?

I am learning how to use Mathematica on a cluster, and a lot of this stuff is still way over my head. Please let me know if I am missing any crucial details. The cluster uses Linux and uses Lmod to ...
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0answers
28 views

Parallel computation in a computer with 2 CPUs

My computer has 2 CPUs, each with 8 cores. However, when using parallel operation, only 8 cores of one CPU can be called. How can I set it so that 8 cores of the other CPU can also participate in the ...
2
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1answer
68 views

Implementation of Dirichlet-Neumann method

I am new in Mathematica and I was trying to find documentation on the Dirichlet-Neumann and Neumann-Neumann methods (which are part of Domain Decomposition Method), but I couldn't find any. Can ...
2
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0answers
31 views

Mathematica parallelization error

I am trying to parallelize some code in Mathematica 11.3 under Ubuntu 20.04, but I get the following errors: the code is a s follows: ...
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1answer
102 views

Writing a program that finds for what $(x,y)$ a function gives a perfect square number

The overal question I am trying to answer is: For what $(x,y)$, which are positive integers, is the following number a perfect square number? $$9 \left(x^3 (y-2)^2+3 x^2 (y-2)-2 x (y-45) (y-2)+7 (y-1)^...
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28 views

How can I parallaize expresion that contains ParallelSum?

I have this code where the last part contains ParallelSum ...
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0answers
53 views

Generating and operating with random number

I'm working basically with the creation of random numbers that represent the positions of $N$ electrons within a box. Later, I sum all the individual electric fields generated by the electrons, thus ...
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2answers
133 views

Fast way to check if $f(x)>x$ for what value of $x$

In order to find the value $x$ for which $f(x)>x$, I tried it using the following code: ParallelTable[If[TrueQ[f[x]>x],x,Nothing],{x,0,10^9}] For some ...
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1answer
49 views

What is the cheapest method to get cloud computing, remote kernels, HPC access, connection to clusters or GPUs?

I want to be able to run parallelisable tasks quicker and on better hardware. Are there any services that can easily do this with my personal copy of Mathematica?
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0answers
121 views

How can I numerically evaluate the trace of a large matrix to speed up the code?

I have a large matrix (4Wn*4Wn) resulted from multiplication of different matrices and I would like to evaluate the trace numerically to speed up the process. Here ...
5
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2answers
219 views

How are the CPU cores distributed to each kernel in parallelization calculation?

Just want to make sure that I understand correctly before I ask questions. I saw some people saying that some functions in Mathematica will automatically use multi-cores (I am not referring to those ...
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1answer
109 views

How can we speed up a matrix multiplication using ParallelTable and ParallelISum?

I do belive that Mathematica can work as fast as other packages, but it is really sensitive to the way we write the code. Here I would like to evaluate a trace resulted from a matrix multiplication at ...
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1answer
43 views

How can I use ParallelTable with ParallelSum effectively?

I have this expression (as an example) as a function of nc and nr (real one is more nasty) ...
3
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1answer
144 views

“Part specification is longer than depth of object.” only when executing inside ParallelTable (but not Table)

Background I have a function I would like to execute inside a ParallelTable. One of the arguments of this function is another function. So it looks something like this: ...
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49 views

Is possible to make RowReduce more efficient?

I have huge matrices (not square ones, the rows are many more than columns), like 85k rows and 50k columns. I would like to use RowReduce on these, but it takes too much time to do that. I need to ...
3
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1answer
152 views

How to make a progress indicator work in ParallelTable mode in Mathematica?

I developed a code to display a progress bar, percentage and time dynamically when I am running a plot that calculates things (using user defined function called computethings). It works nicely in ...
4
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2answers
120 views

4X4 matrix of distinct cubed integers with identical row and column sums

I wrote the following code: ...
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0answers
37 views

Parallelized FactorInteger

FactorInteger has no documented option to be parallelized. Can this be done by some clever hack? Or is there a ready-made substitute that makes use of multiple ...
4
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1answer
138 views

Why Does Parallelization Not Speed Up these Seemingly Well-Parallelizable, Simple Functions?

Original Example Consider function f, a parallelized version fPar, and a coarsest-grained parallelized version ...
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0answers
39 views

Parallel Matrix Manipulation: find eigenvalues and construct list

I'm having some trouble with the Parallel commands in Mathematica 12.1: I need to construct a table where its entries are {M, Eigenvalues of X[M]}, where X is a square matrix of dimension N with N big ...
5
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1answer
73 views

Prevent resurrection of dead subkernels

How do I prevent Mathematica from trying to resurrect subkernels that it has deemed to be dead? I would like to avoid this: ...
6
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2answers
105 views

Choose the number of kernels used by ParallelTable

By default, on my system, ParallelTable uses 4 kernels. Is it possible to change the number of kernels used, for example using only 3 instead of 4?
7
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1answer
89 views

Is there something wrong with DistributeDefinitions?

I have the following code, which fails to distribute the DownValues for the symbol f. Could anybody please explain what is wrong. ...
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0answers
35 views

Difference in computation speed of Eigensystem not to expectation for ParallelTable and Table

I was trying to compute the time it takes for Eigensystem to evaluate while being inside a ParallelTable, as it is well-known LAPACK subroutine has an inbuilt Parallelization to it. And the difference ...
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1answer
36 views

Evaluating values from a indexed ParametricNDSolve solution in parallel

I have a ParametricNDsolve solution for a differential equation for a huge system given by s1. I have no problem in evaluating ...
2
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1answer
41 views

DecompositionNDSolveValue analogue for NDEigenvalues

In FEMAddOns there is a function DecompositionNDSolveValue to solve stationary PDEs on a cluster. Is there a similar way to solve the eigenvalue problem for a system of ODEs in parallel kernels, ...
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0answers
124 views

Simplify Vs FullSimplify

I performed an integral and received an extremely long answer. I tried running FullSimplify on the answer, and after 72 hours gave up. Does ...
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1answer
61 views

Tracking progress of ParallelTable Computations

I have a notebook where I work with large datasets, where the data is stored as an A x B array of signals, where each signal is often 1000 samples long. In the past I would track the progress of ...
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2answers
71 views

How to Parallel submit nested do loop

This is the first time I'm trying to parallel compute something on Mathematica. So this question might be silly. I have a nested Do loop of the form: ...
8
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1answer
529 views

Parallel computing: cores vs threads

I'm running Mathematica on a machine wtih 48 cores and 96 threads. I want to limit the number of threads the computation can have access to. If I give LaunchKernels[1] it correctly launches a single ...
2
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1answer
37 views

Filtering solutions using the Select function [closed]

I have a certain code that output in the following format: {{a1,b1},{a2,b2},{a3,b3},...,{an,bn}} Where $a_1$ and $b_1$ etc are numbers. Now I want to filter ...
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0answers
32 views

Parallelization option gives Import error for Package files

I have an issue when trying to use parallelization when loading a stand-alone Package. To simplify the question I have a few scenarios: The first scenario, with single-kernel evaluation, works fine: ...
3
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0answers
59 views

Parallelize import of many files

I'm trying to speed up the import of a large number of files, using ParallelTable to store them in a indexed variable, eqDump. The files are in the folder "Frames" and are named "Conf_Run.1000", "...
2
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0answers
78 views

Aborting any computation that takes too long

One of the biggest annoyances in Mathematica is that it will often hang up without any way to abort (i.e. Alt + . or other methods can't stop the computation). Is ...
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0answers
30 views

How to close a specific Kernel after completion of evaluation in ParallelDo

I have a particular code that I have to run over several different parameters. I am using ParallelDo to parallelize the process. Due to the nature of the evaluations some Kernels finish the ...

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