---
title: LLM-X-RAY Leaderboard
emoji: 🔬
colorFrom: blue
colorTo: indigo
sdk: gradio
sdk_version: 5.20.0
app_file: app.py
pinned: true
license: mit
short_description: Geodesic LLM Auditing & Hallucination Observatory
tags:
- leaderboard
- spectral-analysis
- hso-perceptron
---

# LLM-X-RAY: Operator-Geometric Auditing & Hallucination Observatory

This Space implements the official **HSO-Perceptron (Hilbert-Schmidt Operator)** benchmark and auditing registry for Large Language Models.

### Architecture
- **Layer A (Weight SVD):** Stable rank ($r_s$), effective rank ($r_{\text{eff}}$), and condition number ($\kappa$).
- **Layer B (Activation / HSO Observer):** Ledoit-Wolf regularized covariance, $\tau = 0.95$ observable subspace rank ($d$), and blind quotient manifold ($\ker$).
- **Layer C (Behavioral Battery):** Factual probes, adversarial traps, and paraphrase stability.