https://github.com/bolner/visual-matrix-decomposition

Visualizing matrix decompositions
https://github.com/bolner/visual-matrix-decomposition

csharp dotnet-core linear-algebra matrix-factorization visualization

Last synced: over 1 year ago
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Visualizing matrix decompositions

• Host: GitHub
• URL: https://github.com/bolner/visual-matrix-decomposition
• Owner: bolner
• License: other
• Created: 2019-08-18T17:55:49.000Z (almost 7 years ago)
• Default Branch: master
• Last Pushed: 2019-09-01T20:42:27.000Z (almost 7 years ago)
• Last Synced: 2025-02-08T12:46:58.554Z (over 1 year ago)
• Topics: csharp, dotnet-core, linear-algebra, matrix-factorization, visualization
• Language: C#
• Size: 70.3 KB
• Stars: 0
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE.md

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README

          
# Visualizing Matrix Decomposition

This `.NET Core` application generates animations. It applies LU and QR decompositions to linear transformations, and shows the effects of the factors independently. See example result:

[![Watch the video](doc/tumbler.jpg)](https://www.youtube.com/watch?v=AIOEtorHctc)

Other videos:

- QR decomposition: https://www.youtube.com/watch?v=CWEhxN0hemE

- Continuous QR decomposition: https://www.youtube.com/watch?v=ZDH84Yu8B3E

- An older version of the LU dec.: https://www.youtube.com/watch?v=Mc89G9_kPwk

- Eigendecomposition: https://www.youtube.com/watch?v=ZpqwO0348Dw

- Eigendecomposition with shearing: https://www.youtube.com/watch?v=hF6pPGwvvYg (1440p)

# Install `.NET Core`

On Ubuntu 18.04 (as root):

    wget -q https://packages.microsoft.com/config/ubuntu/18.04/packages-microsoft-prod.deb

    dpkg -i packages-microsoft-prod.deb

    add-apt-repository universe

    apt-get install apt-transport-https

    apt-get update

    apt-get install dotnet-sdk-2.2

On Windows:

- https://dotnet.microsoft.com/download

# Run the application

    dotnet run -c Release

# To convert the images to videos, use FFMPEG:

    "E:\ffmpeg\ffmpeg.exe" -start_number 0 -loop 1 -t 120 -i "E:\path\to\source\frame_%4d.png" -c:v libx264 -b 2800K -vf "fps=30" E:\path\to\dest\video.mp4