# Questions tagged [dimension-reduction]

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1 vote
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### How to best present 3D data on 2D plot

The data I have the following three datasets: data1 data2 data3 ...
• 1,438
33 views

### How can I set characteristic variables for NondimensionalizationTransform?

Apparantly the NondimensionalizationTransform is not throughly documented. There is an SO answer explaining how to use it, but I am having trouble applying it to my problem. I am trying to handle a ...
• 131
88 views

### Exporting a DimensionReducerFunction

I need to run my DimensionReducerFunction in a standalone fashion outside of MMA. That is, without calling into a kernel or through an APIFunction. For example, ...
• 31.7k
217 views

### How to plot the Worm domain?

While reading Krantz' "Harmonic and Complex Analysis in several variables" I stumbled upon the Worm domain. It is a counterexample to the long-believed statement that a smoothly bounded ...
80 views

### Get normalized features from DimensionReduction?

When I feed a list of vectors with numerical values to DimensionReduction and use the resulting DimensionReducerFunction, the ...
• 12k
1 vote
71 views

### Issues arising when using UnitSimplify for getting a dimensionless expression

I am having some difficulties when using UnitSimplify in manipulating expressions for obtaining dimensionless quantities in Mathematica 12.0.0. Here is a minimal ...
• 444
268 views

### Is it possible to use Reduce in a way that "eliminates" some unwanted variables, and only gives constraints between wanted variables?

Reduce[{x == z, y == z}] gives y == z && x == z but say I'm only interested in constraints that appear between ...
• 872
239 views

### I need to create abstract vectors

$Assumptions = {q \[Element] Vectors[{15}, Reals]};$Assumptions = {p1[q] \[Element] Vectors[{3}, Reals]}; So I have been using this code in order to define an ...
1 vote
77 views

### Linear map of unit cube

Let c be a vector of n constants and X = Table[Symbol["x" <> ToString[i]], {i, n}] be ...
• 57
304 views

### Transforming 2D points on to a regular grid or lattice

I have a set of points in 2D generated by doing a DimensionReduce on a list of colors: ...
• 635
435 views

### Construct, in some manner, a four-dimensional "RegionPlot"

Let me abuse some Mathematica notation and formulate the following "command": ...
• 2,335
377 views

### Plotting large scale image embeddings

I'm looking for help making publication-quality graphics for visualizing 2D embeddings of image datasets, so that they look like this: These two-dimensional embeddings of thumbnails (sometimes with ...
• 31.7k
179 views

### Pulling the principal components out of a DimensionReducerFunction?

Suppose I perform dimension reduction using PCA: ...
• 1,138
836 views

### How to perform UMAP dimensionality reduction?

This new method UMAP looks to be better than TSNE, unfortunately it is not available as a dimension reduction method yet: Does anyone know if there exists an implementation of it in, or accessible ...
• 3,725
1 vote
125 views

### Visualizing a manifold created using DimensionReduce

Apologies if the question is too vague, please delete if so. I am trying to understand Manifolds in general (if there is any recommended text?) and how to use the function ...
• 1,004
124 views

### How can I reproduce the result of DimensionReduction?

In the help document of DimensionReduction, there is some sample codes as below:- ...
• 3,479