Questions tagged [sampling]

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2
votes
4answers
153 views

Sampling Implicit functions

Consider an implicit function like f ...
2
votes
1answer
103 views

How to extract colors from ColorsNear?

Is there any way to get a discrete list of samples from the ColorsNear function? I have tried ...
0
votes
1answer
105 views

Sampling two integer lists of given sizes from a distribution that have equal sums

(This question emerged from discussions in this post.) Context and code sample: I am trying to figure out if there is a way to generate two $a$ and $b,$ comprised of $n_a$ and $n_b$ integers which ...
1
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2answers
73 views

Sampling an inequality over multi-dimensional space

Let's say I have two functions $f(x,y,z), g(x,y,z)$. I would like to know the probability that $f(x,y,z) < g(x,y,z)$ over some defined, numerical ranges of $x, y, z$. Any thoughts on how to do it ...
8
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2answers
199 views

Plot, sampling, and why it does not display for some ranges

The following gives an empty plot on V12 under Windows 10: ...
5
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2answers
330 views

Why does plot not show where Piecewise function is not zero?

From my user point view this looks like bug. But I am not an expert. f[x_?NumericQ]:=Piecewise[{{1,x==1},{0,True}}]; Plot[f[x],{x,0,1}] Does not show ...
1
vote
1answer
104 views

Random sampling of a discrete distribution in NetGraph

Within a NetGraph I would like to use the output of a softmax layer, interpreted as a probability distribution, to sample a "next token". Since this is done inside an RNN structure, I cannot do this ...
1
vote
2answers
134 views

Multiple unique random samples?

I'm trying to produce $n$ random samples from a list, but not all samples, and I'd like the samples to not repeat in the same execution of the command. If I'm not mistaken, something like ...
2
votes
4answers
196 views

How to generate a matrix with certain conditions

I want to generate a $n \times n$ matrix. I want the diagonal entries to be all 0 I want a random choice of matrix elements with 0 or 1. The probability of having a 1 as a matrix element is $1/m$ and ...
0
votes
1answer
78 views

How do I extract data points from an audio plot at a constant spaced time interval?

AudioPlot[Audio[File["Downloads/1_mp3.wav"]]] data = Cases[AudioPlot[Audio[File["Downloads/1_mp3.wav"]]], Line[x_] :> x, Infinity] This code can extract data ...
1
vote
2answers
114 views

Sampling data from numerical values of density distribution of nucleons

How could i sample my data which follows distribution if i have only numerical values of density distribution as an example data attached as in picture I tried but do not know how to do it. The data:...
0
votes
1answer
43 views

ProbabilityDistribution fails for square root

I would like to sampling data from a distribution Sqrt[x^2 + y^2]. I used the code as follows: ...
0
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1answer
81 views

Speeding up Module

I am working on the Ising 2D model in Mathematica and this is currently my Metropolis sampling function: ...
4
votes
2answers
123 views

Filtering data with timestamps

How to apply filter to data that was sampled in certain moments of time? Examples from documentation deal only with uniformly sampled data: ...
0
votes
3answers
87 views

Sample the data with equal step size

I have the data below. I would like to sample with equal step size. For simplicity lets try unit step size. Here is the desired result. Find the first time exceed the unit time step, and take lower ...
5
votes
2answers
226 views

Random sample of big big numbers

Consider the following piece of code: m = 2; n = 6; samplesize = 1000; totalsize = 2^(n^m); numbersample = 2 RandomSample[Range[totalsize/2], samplesize]; With ...
5
votes
3answers
372 views

Sample over a matrix

Assume I have a matrix. ...
2
votes
1answer
66 views

Looking for an estimator for non-linear statistics

Goal We sample $n$ individuals with replacement and measure their trait values $x_i$ for all individual $i$. The variable $x$ is bounded [0,1]. Let $\mu$ be the ...
0
votes
0answers
81 views

Problems with sampling

Let $t\ge 0$ and let $f_{s}(t)$ be the sampled version of $f(t)$. If $$f(t)=\begin{cases}\int_{0}^{t}\exp\left(-\frac{1}{1-s^{2}}\right)\,ds,&|s|<1, \\ 0,&\text{otherwise}.\end{cases}$$ I ...
25
votes
4answers
3k views

How to sample points randomly below a curve? [duplicate]

How can I randomly select 1000 points uniformly from the shaded area below the plotted curve? Plot[1/π Cos[θ]^2, {θ, 0, 2 π}, Filling -> Bottom]
5
votes
2answers
291 views

Generate multiple integer variables with constant sum

I have asked similar question three day ago[The old question]. it was incorrectly marked as duplicated. This time I make this question more general and closer to reality. I want to build a model of N ...
35
votes
4answers
2k views

How to implement the sample-point process like the built-ins of Mathematica?

Consider this: pts = {{0, 0}, {1, 1}, {2, -1}, {3, 0}, {4, -2}, {5, 1}}; f = BSplineFunction[pts] I can use ParametricPlot to ...
7
votes
1answer
248 views

Draw from a given list according to empirical distribution

I have two lists, where each time I have age-income vectors. Given the distribution of age in the first list, I would like to draw a sample with the similar distribution of age from the second list (...
15
votes
2answers
2k views

How to obtain adaptive sampling as in Plot function?

Adaptive sampling in Plot function can capture the oscillation of a function with very few points. How can I get a similar sequence of point pairs without using <...
0
votes
1answer
264 views

Sampling Points Between Two Functions and Plotting Sample Points? (I have partial code) [duplicate]

I want to sample random points between $Cos(x)$ and $Sin(x)$ on $0 \le x\le \frac \pi4$ I was able to do graph the function here in Mathematica. I would like to count, and then plot points between ...
1
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0answers
1k views

Draw sample functions from Gaussian Process prior [closed]

Previously, I have written implementation codes of Gaussian Process regression in Python and Matlab. However, for better interaction and visualisation, I am currently working on implementation in ...
2
votes
1answer
858 views

Latin Hypercube Sampling

I'm looking into Mathematica and I can't find if there is an instruction or a set of them that can perform the Latin Hypercube Sampling, given variable, their ...
1
vote
0answers
357 views

Is this the correct method in using bootstrapping to determine a lower confidence bound?

Quite often in industry, due to cost and schedule constraints, decisions must be made on small sample size data. I have 4 cycles-to-failure values resulting from running samples to failure in a ...
52
votes
1answer
3k views

Adaptive sampling for slow to compute functions in 2D

EDIT: Although I have posted an answer based on my current progress, this in incomplete. Please see the "open issues" section in the answer. Most plotting functions in Mathematica adjust the ...