https://github.com/yoshoku/numo-tiny_linalg
Numo::TinyLinalg is a subset library from Numo::Linalg consisting only of methods used in Machine Learning algorithms.
https://github.com/yoshoku/numo-tiny_linalg
gem linear-algebra numo ruby
Last synced: about 2 months ago
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Numo::TinyLinalg is a subset library from Numo::Linalg consisting only of methods used in Machine Learning algorithms.
- Host: GitHub
- URL: https://github.com/yoshoku/numo-tiny_linalg
- Owner: yoshoku
- License: bsd-3-clause
- Created: 2023-04-30T10:22:32.000Z (over 2 years ago)
- Default Branch: main
- Last Pushed: 2025-07-03T15:18:10.000Z (3 months ago)
- Last Synced: 2025-07-30T08:48:02.430Z (2 months ago)
- Topics: gem, linear-algebra, numo, ruby
- Language: C++
- Homepage: https://rubygems.org/gems/numo-tiny_linalg
- Size: 273 KB
- Stars: 0
- Watchers: 2
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- License: LICENSE.txt
- Code of conduct: CODE_OF_CONDUCT.md
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README
# Numo::TinyLinalg
[](https://badge.fury.io/rb/numo-tiny_linalg)
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[](https://github.com/yoshoku/numo-tiny_linalg/blob/main/LICENSE.txt)
[](https://yoshoku.github.io/numo-tiny_linalg/doc/)
Numo::TinyLinalg is a subset library from [Numo::Linalg](https://github.com/ruby-numo/numo-linalg) consisting only of methods used in Machine Learning algorithms.
The functions Numo::TinyLinalg supports are dot, det, eigh, inv, pinv, qr, solve, cholesky, cho_solve and svd.
Note that the version numbering rule of Numo::TinyLinalg is not compatible with that of Numo::Linalg.
## Installation
Unlike Numo::Linalg, Numo::TinyLinalg only supports OpenBLAS as a backend library for BLAS and LAPACK.
Install the OpenBlas.
macOS:
```sh
$ brew install openblas
```
Ubuntu:
```sh
$ sudo apt-get install libopenblas-dev liblapacke-dev
```
Install the gem and add to the application's Gemfile by executing.
macOS:
```sh
$ bundle config --local build.numo-tiny_linalg "--with-opt-dir=/opt/homebrew/Cellar/openblas/0.3.23/"
$ bundle add numo-tiny_linalg
```
Ubuntu:
```sh
$ bundle add numo-tiny_linalg
```
If bundler is not being used to manage dependencies, install the gem by executing.
macOS:
```sh
$ gem install numo-tiny_linalg -- --with-opt-dir=/opt/homebrew/Cellar/openblas/0.3.23/
```
Ubuntu:
```sh
$ gem install numo-tiny_linalg
```
## Usage
An example of singular value decomposition.
```ruby
require 'numo/tiny_linalg'
Numo::Linalg = Numo::TinyLinalg unless defined?(Numo::Linalg)
x = Numo::DFloat.new(5, 2).rand.dot(Numo::DFloat.new(2, 3).rand)
# =>
# Numo::DFloat#shape=[5,3]
# [[0.104945, 0.0284236, 0.117406],
# [0.862634, 0.210945, 0.922135],
# [0.324507, 0.0752655, 0.339158],
# [0.67085, 0.102594, 0.600882],
# [0.404631, 0.116868, 0.46644]]
s, u, vt = Numo::Linalg.svd(x, job: 'S')
z = u.dot(s.diag).dot(vt)
# =>
# Numo::DFloat#shape=[5,3]
# [[0.104945, 0.0284236, 0.117406],
# [0.862634, 0.210945, 0.922135],
# [0.324507, 0.0752655, 0.339158],
# [0.67085, 0.102594, 0.600882],
# [0.404631, 0.116868, 0.46644]]
puts (x - z).abs.max
# => 4.440892098500626e-16
```
## Contributing
Bug reports and pull requests are welcome on GitHub at https://github.com/yoshoku/numo-tiny_linalg.
This project is intended to be a safe, welcoming space for collaboration, and contributors are expected to adhere to the [code of conduct](https://github.com/yoshoku/numo-tiny_linalg/blob/main/CODE_OF_CONDUCT.md).
## Code of Conduct
Everyone interacting in the Numo::TinyLinalg project's codebases, issue trackers, chat rooms and mailing lists is expected to follow the [code of conduct](https://github.com/yoshoku/numo-tiny_linalg/blob/main/CODE_OF_CONDUCT.md).
## License
The gem is available as open source under the terms of the [BSD-3-Clause License](https://opensource.org/licenses/BSD-3-Clause).