Questions tagged [dimension-reduction]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
1 vote
0 answers
30 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 ...
JS S's user avatar
  • 121
4 votes
0 answers
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, ...
M.R.'s user avatar
  • 31.5k
0 votes
1 answer
159 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 ...
autopilotmorphism's user avatar
0 votes
2 answers
79 views

Get normalized features from DimensionReduction?

When I feed a list of vectors with numerical values to DimensionReduction and use the resulting DimensionReducerFunction, the ...
Kagaratsch's user avatar
1 vote
1 answer
69 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 ...
Ferca's user avatar
  • 504
0 votes
2 answers
253 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 ...
user3257842's user avatar
0 votes
2 answers
237 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 ...
Carlo's user avatar
  • 9
1 vote
1 answer
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 ...
Mathtrix's user avatar
6 votes
1 answer
299 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: ...
Crêpo's user avatar
  • 635
9 votes
4 answers
413 views

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

Let me abuse some Mathematica notation and formulate the following "command": ...
Paul B. Slater's user avatar
2 votes
1 answer
372 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 ...
M.R.'s user avatar
  • 31.5k
4 votes
1 answer
177 views

Pulling the principal components out of a DimensionReducerFunction?

Suppose I perform dimension reduction using PCA: ...
Michael Curry's user avatar
11 votes
1 answer
830 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 ...
user5601's user avatar
  • 3,593
1 vote
0 answers
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 ...
Teabelly's user avatar
  • 1,004
5 votes
1 answer
117 views

How can I reproduce the result of DimensionReduction?

In the help document of DimensionReduction, there is some sample codes as below:- ...
H42's user avatar
  • 3,479
7 votes
0 answers
223 views

Implementations for common dimension reduction algorithms

I am working on a visualization manuscript that uses dimensional reduction with tSNE of a very large data set (227,573 points x 2,571 features). The reviewers would like figures comparing the tSNE ...
GraphMan's user avatar
  • 903