---
library_name: shesha-geometry
license: mit
pipeline_tag: other
tags:
- arxiv:2601.09173
- geometric-stability
- representational-learning
- ai-safety
- drift
- constitutional-ai
- steering
- interpretability
- computational-biology
---

# Shesha: Geometric Stability Metric

This is the official Hugging Face hub for the **Shesha** geometric stability metric, as presented in the paper [Geometric Stability: The Missing Axis of Representations](https://huggingface.co/papers/2601.09173).

## Overview

Analysis of learned representations typically focuses on *similarity*, measuring how closely embeddings align with external references. However, similarity reveals only what is represented, not whether that structure is robust. 

**Shesha** is a framework for measuring **geometric stability**, a distinct dimension that quantifies how reliably representational geometry holds under perturbation. Across 2,463 configurations in seven domains, research shows that stability and similarity are empirically uncorrelated ($\rho \approx 0.01$). This distinction makes Shesha a necessary complement to similarity for auditing representations across biological and computational systems.

## 🚀 Quick Links
* **📄 Paper:** [arXiv:2601.09173](https://arxiv.org/abs/2601.09173)
* **💻 Code:** [GitHub Repository](https://github.com/prashantcraju/geometric-stability)
* **📦 PyPI:** [shesha-geometry](https://pypi.org/project/shesha-geometry/)

## 📦 Installation

```bash
pip install shesha-geometry
```

## Key Applications

Geometric stability provides actionable insights across multiple domains:
- **Safety Monitoring:** Acts as a functional geometric canary to detect structural drift nearly 2$\times$ more sensitively than CKA.
- **Controllability:** Supervised stability predicts linear steerability with high correlation ($\rho = 0.89$-$0.96$).
- **Model Selection:** Dissociates from transferability, revealing the "geometric tax" that transfer optimization incurs.
- **Scientific Analysis:** Predicts CRISPR perturbation coherence and neural-behavioral coupling.

## Citation

If you use Shesha or geometric stability in your research, please cite:

```bibtex
@article{raju2026geometric,
  title={Geometric Stability: The Missing Axis of Representations},
  author={Raju, Prashant C.},
  journal={arXiv preprint arXiv:2601.09173},
  year={2026}
}
```