IndoAryan-Shared-Manifold

Indo‑Aryan Shared Manifold

This repository contains code, data, and results for the paper:

"Zero‑Shot Reasoning Transfer Across Perso‑Arabic Languages: Tokenization, Procrustes Alignment, and the Bridge Language Hypothesis"

Aakash Meghwar – April 2026

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📊 Corrected Results (April 2026)

1. Zero‑shot classification (25 classes, trained on Urdu)

Random baseline for 25 classes = 4%

2. Procrustes alignment (Urdu → target)

3. Token fertility (tokens per word)

SindhiNLTK achieves perfect token fertility (1.00) for Sindhi – a major efficiency gain.

4. Bridge hypothesis (Saraiki as geometric anchor)

• Direct Urdu → Sindhi Procrustes distance: 0.0717
• Two‑step Urdu → Saraiki → Sindhi distance: 0.0717
• ✅ Supports the Shared Manifold Hypothesis – Saraiki acts as a geometric bridge between Urdu and Sindhi.

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📁 Repository Files

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📖 Citation

If you use this data or code in your research, please cite:

@misc{meghwar2026indoaaryanshared,
  author = {Meghwar, Aakash},
  title = {Indo‑Aryan Shared Manifold: Zero‑Shot Reasoning Transfer and Procrustes Alignment},
  year = {2026},
  publisher = {Hugging Face},
  url = {https://huggingface.co/aakashMeghwar01/IndoAryan-Shared-Manifold}
}