# Questions tagged [sampling]

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### generating a Poisson Gap sampled schedule

I have a grid of 256 points (0,1,....M-1), which I then want to distribute in sinusoid weighted Poisson Gap. tpts = Table[t, {t, 0, 255}]; I define two functions ...
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### Select a subsequence of a sequence according to tosses of a biased coin

I have a sequence, from which I would like to select a subsequence, each term of the original sequence being included in the subsequence with probability $p$, independently of the other terms. That is,...
49 views

### Evaluate function at “good” points used by Plot in numerical problems

Plot function with option Mesh->All shows how mathematica evaluates function to make it most optimal for plotting. I'd like to evaluate some physical function in ...
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### How to get a list of exponentially distributed points sampled in a range

I want to get 256 points exponentially sampled in a range, and then get its histogram. If I plot PDF, I get the following: ...
160 views

### Sampling Implicit functions

Consider an implicit function like f ...
105 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 ...
106 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 ...
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### 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 ...
205 views

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

The following gives an empty plot on V12 under Windows 10: ...
339 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 ...
113 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 ...
141 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 ...
197 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 ...
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### 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:...
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: ...
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### Speeding up Module

I am working on the Ising 2D model in Mathematica and this is currently my Metropolis sampling function: ...
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### 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: ...
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### 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 ...
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 ...
372 views

### Sample over a matrix

Assume I have a matrix. ...
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### 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 ...
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### 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 ...
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### 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]
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 ...
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### 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 ...
254 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 (...
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 <...
265 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 ...
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 ...
898 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 ...