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farukalpay merged 1 commit into from
Aug 25, 2025
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docs: add citation for PSD paper #54

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18 changes: 17 additions & 1 deletion README.md
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## Project Summary

This repository implements the **Perturbed Saddle-escape Descent (PSD)**
algorithm for escaping saddle points in non-convex optimisation problems.
algorithm for escaping saddle points in non-convex optimisation problems, as described in [Alpay and Alakkad (2025)](https://arxiv.org/abs/2508.16540).
It contains reference NumPy implementations, framework specific optimisers
for PyTorch and TensorFlow, and utilities for reproducing the synthetic
experiments reported in the accompanying manuscript.
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and see `CONTRIBUTING.md` for guidelines. By participating you agree to
abide by the `CODE_OF_CONDUCT.md`.

## Citation

If you use PSD in your research, please cite the following:

```bibtex
@misc{alpay2025escapingsaddlepointscurvaturecalibrated,
title={Escaping Saddle Points via Curvature-Calibrated Perturbations: A Complete Analysis with Explicit Constants and Empirical Validation},
author={Faruk Alpay and Hamdi Alakkad},
year={2025},
eprint={2508.16540},
archivePrefix={arXiv},
primaryClass={cs.LG},
url={https://arxiv.org/abs/2508.16540},
}
```

## License

This project is released under the MIT License. See `LICENSE` for details.
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