Ballot: Balanced k-means clustering with optimal transport
Ballot (Balanced Lloyd with Optimal Transport) is a high-performance Python package for balanced clustering. It solves the problem of creating equal-sized clusters (or clusters with specific capacity constraints) by leveraging Optimal Transport theory and Entropic Regularization (Sinkhorn algorithm).
Features
- Speed: Uses Sinkhorn iterations (E-BalLOT) for near-linear time complexity $O(n \log n)$, making it usable for large datasets ($n > 100,000$).
- Simplicity: precise, math-driven implementation without complex C++ dependencies.
- Scikit-learn Compatible: Designed to fit seamlessly into existing ML pipelines.
Installation
Install via pip:
pip install ballot
Usage
import numpy as np
from ballot.core import solve_entropic_kantorovich
# Example usage (API subject to change in v0.1)
# Create random data and centroids...
# Run balanced clustering...
Development
To install in editable mode for development:
git clone https://github.com/username/ballot.git
cd ballot
pip install -e .
Run tests:
pytest
References
This project incorporates research from the following paper:
- BalLOT: Balanced k-means clustering with optimal transport Wenyan Luo, Dustin G. Mixon arXiv:2512.05926
Metadata
Release files for ballot 0.1.0
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Source distribution (sdist)
| File | Size | Uploaded | Provenance | |
|---|---|---|---|---|
| ballot-0.1.0.tar.gz | 8.1 kB | With provenance | Details |
Built distribution (wheel)
| File | Interpreter | ABI | Platform | Reset |
|---|---|---|---|---|
| ballot-0.1.0-py3-none-any.whl | Python 3 | none | any | Details |
Total release size: 14.8 kB
Release files / ballot-0.1.0.tar.gz
| Download URL | ballot-0.1.0.tar.gz |
|---|---|
| Size | 8.1 kB |
| Tags | Source |
|
SHA-256 checksum How to use checksums |
aac83bfb53094c6c2b4f79a964e3318c1bec835cb5ca53d60b3975db7f69df08
|
|
BLAKE2b-256 checksum How to use checksums |
d37e06a70fc0677a811fc9b21b658b1c60cb8bc849b068689900e3fab0e0ad37
|
| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
Yes |
| Uploaded via |
twine/6.1.0 CPython/3.13.7
|
Provenance
Provenance describes where a file came from. On PyPI, provenance is shared via attestations, which provide a verifiable record of the build or publishing details. View details, limitations and caveats.
PyPI Publish Attestation
PyPI verified that this artifact, at this checksum, originated from the publisher listed below.
Signed by GitHub Actions, verified by PyPI on Jan 28, 2026.
Transparency logRelease files / ballot-0.1.0-py3-none-any.whl
| Download URL | ballot-0.1.0-py3-none-any.whl |
|---|---|
| Size | 6.7 kB |
| Tags | Python 3 |
|
SHA-256 checksum How to use checksums |
ca780ea76235a84181ebf0320060fc9bfb741868ec05d30884f8ff3ebe3eb88a
|
|
BLAKE2b-256 checksum How to use checksums |
df9c906dc9b6c1674cc95354f248aa872a192106ebf8fa948bb4701afbbf2129
|
| Upload date | |
|
Uploaded using Trusted Publishing? What is trusted publishing? |
Yes |
| Uploaded via |
twine/6.1.0 CPython/3.13.7
|
Provenance
Provenance describes where a file came from. On PyPI, provenance is shared via attestations, which provide a verifiable record of the build or publishing details. View details, limitations and caveats.
PyPI Publish Attestation
PyPI verified that this artifact, at this checksum, originated from the publisher listed below.
Signed by GitHub Actions, verified by PyPI on Jan 28, 2026.
Transparency logSecurity for ballot 0.1.0
Provenance
Provenance describes where a file came from. On PyPI, provenance is shared via attestations, which provide a verifiable record of the build or publishing details. View details, limitations and caveats.
Full provenance
All 2 files in this release have been uploaded with provenance metadata.
Attestation for ballot-0.1.0.tar.gz
PyPI Publish Attestation
PyPI verified that this artifact, at this checksum, originated from the publisher listed below.
Signed by GitHub Actions, verified by PyPI on Jan 28, 2026.
Transparency logA note on package security
PyPI is a repository for distributing packages, not a service for auditing them. While third-party security researchers and our staff do their best to detect and remove malicious packages, PyPI cannot guarantee the quality, security or suitability of any given package.
To learn more about protecting yourself from malicious actors, visit our package security documentation.