---
library_name: transformers
base_model:
- XHToken/Spark-X2.6-4B
pipeline_tag: text-generation
license: apache-2.0
tags:
- lucet
- spark-x2.6
- qr-svd
- ast-counterfactual
- failure-cluster-mining
- uncensored
- gsq
- rco
- 1m-context
- gguf
- imatrix
---

# 🏛️ mohommed/Lucet-Coder-4B-Omega (Spark-X2.6-4B • Failure-Cluster Active Mining • QR-SVD Denoised • Uncensored-GSQ-v2-GGUF)

**Lucet-Coder-Omega** is post-trained from **`XHToken/Spark-X2.6-4B`** (1M native context window, 54.3% SWE Pro, 71.8% BFCL-V4) using four advanced mathematical and systems-level algorithms:

1. **1M-Context RoPE-Preserving Split-Stack Adaptation (`r=16`):** Keeps `q_proj` and `k_proj` 100% frozen across all layers (preserving the 1,048,576-token RoPE phase calibration) and adapts only Value (`v_proj`), Output (`out_proj`), and MLP (`gate_proj`, `up_proj`, `down_proj`, `g_proj`) matrices in the upper 50% of the network.
2. **Failure-Cluster Active Data Mining & AST Counterfactual Bug Immunization:** Diagnoses failure modes (`FAIL_TRUNCATED_THINK`, `FAIL_ASSERTION_BOUNDARY`, `FAIL_MISSING_IMPORT`, `FAIL_EPISTEMIC_HALLUCINATION`) across algorithmic clusters and dynamically pops **unseen neighbor tasks** + surgical AST counterfactual bugs from a disjoint reserve pool—achieving **+14.0% on Held-Out MBPP `pass@1`** and **+20.1% faster token efficiency** with zero training data repetition.
3. **QR-SVD Gavish-Donoho Spectral Denoising:** Strips stochastic gradient noise singular values from low-rank adapters in $O(r^2(d_{\text{out}} + d_{\text{in}}))$ before merging into base weights.
4. **Q4_K 32-Block Crest-Factor Equalization & KL-Bounded Uncensored-GSQ-v2:** Equalizes 32-element GGUF super-block crest factors ($\le 3.8\,\text{rms}$) alongside Gram-Schmidt orthogonal refusal projection + `llama-imatrix` calibration.

## 📊 Pre-Upload Verification Report (Before vs. After)
| Benchmark / Metric | Stock `Spark-X2.6-4B` | `Lucet-Omega` | Improvement |
| :--- | :---: | :---: | :---: |
| **Held-Out MBPP Sanitized `pass@1` (n=50)** | `58.0%` | **`72.0%`** | **`+14.0%`** |
| **Avg Reasoning + Code Tokens per Solved Task** | `470` | **`376`** | **`+20.1%` Faster** |
| **Held-Out Epistemic Anti-Hallucination Rate (n=8)** | `0.0%` | **`12.5%`** | **`+12.5%`** |