Qwen3.8-27B-Weight-Space-Programming (WSP v2.4 β€” 4-Subspace Mid + Late Architecture)

Training-free, closed-form Multi-Subspace Weight-Space Programming (WSP) for Qwen/Qwen3.8-27B (64 layers, hidden_size = 5120, intermediate_size = 17408, $16 \times [3\times\text{Gated DeltaNet} + 1\times\text{Gated Full Attention}]$) β€” zero gradient descent, zero fine-tuning, synthesized in 47 seconds on a single workstation.


1. Key Highlights & 4-Way Factorial Ablation (123 Live Benchmark Tasks)

  1. Root-Cause Spectral Discovery (probe_qwen38_subspaces.py): Across the upper Full-Attention and Pre-Terminal layers ([47, 51, 55, 59, 62, 63]) of Qwen/Qwen3.8-27B, the top-64 singular directions of mlp.down_proj exhibit a 28.1% to 45.0% stronger cosine alignment with the self-doubt/hesitation subspace (Wait, Should, Or, Maybe, Alternatively, verify, test) than with the </think> termination token (248069). This single spectral bias explains both primary baseline failure modes:
    • Circular <think> deliberation loops that exhaust token budgets on InterCode-NL2Bash, GSM8K, HumanEval, and Anti-Sycophancy (Suite D).
    • Post-solution self-doubt ("Should I verify it? Let me run a simple test") triggering unnecessary exec tool calls on pure coding tasks (Suite E: restraint_1_reverse_ll).
  2. Exact SwiGLU Receptor & Woodbury Dual-Space Ridge Surgery (build_qwen38_subspaces_v2.py, build_midlayer_subspace4.py): Using exact SwiGLU receptor states $\hat{x}j = \text{unit}(\text{SiLU}(W{\text{gate}} \hat{h}j) \odot (W{\text{up}} \hat{h}j))$ and the Woodbury Dual-Space Nullspace-Anchored Ridge Identity: $$\Delta W_s^{(l)} = \tilde{Y}{\text{aug}}^\top \left(X_{\text{aug}} X_{\text{aug}}^\top + \lambda_{\text{reg}} I_m\right)^{-1} X_{\text{aug}}, \qquad X_{\text{aug}} = \begin{bmatrix} X_s \ \sqrt{\lambda_{\text{null}}}, X_{\text{null}, s} \end{bmatrix} \in \mathbb{R}^{m \times 17408}$$ we invert an $m \times m$ ($160 \times 160$) Gram matrix instead of a dense $17408 \times 17408$ matrix, cutting synthesis time by 30Γ— (1419.0s $\rightarrow$ 30.8s–47.7s) and reducing cross-subspace/nullspace leakage by 25Γ— (to 0.11%–0.31% across all 13 edited layers).
  3. 2Γ—2 Factorial Ablation (None vs. Dynamic Late-Layer Routing Only vs. Mid-Layer Full-Attention Edit Only vs. Both):
Condition Mid-Layer S4 (Layers 19–43) Dynamic Late Routing (Layers 47–63) 38-Task Mobile Agent Suite 85-Task Established Benchmarks Combined 123-Task Score Delta vs. None
1. None (Unedited Base Qwen3.8-27B) Off (0.0) Off (0, 0, 0) 36/38 (94.7%) 65/85 (76.5%)* 101/123 (82.1%) Baseline (22 errors)
2. Dynamic Routing Only Off (0.0) On (<0.1ms Router) 37/38 (97.4%) 66/85 (77.6%) 103/123 (83.7%) +1.6% (-2 errors)
3. Mid-Layer Edit Only (Static) On (1.0) Off (0, 0, 0) 35/38 (92.1%) 64/85 (75.3%) 99/123 (80.5%) -1.6% (+2 errors)
4. Both (Mid-Layer + Dynamic Routing) On (0.65–0.85) On (<0.1ms Router) 37/38 (97.4%) 68/85 (80.0%) 105/123 (85.4%) +3.3% (-18.2% errors)

*Evaluated with normalized JSON Schema ("type": "float" $\rightarrow$ "number" in BFCL v3 Irrelevance); raw unnormalized baseline is 102/123 (82.9%).


2. Granular Per-Suite Benchmark Breakdown (123 Tasks)

Benchmark Suite Tasks 1. None (Base) 2. Dynamic Routing Only 3. Mid-Layer Edit Only 4. Both (Mid-Layer + Dynamic) Key Mechanism & Synergy in Both
Suite A: Shell Execution 8 8/8 (100.0%) 8/8 (100.0%) 8/8 (100.0%) 8/8 (100.0%) shell_1 cut from 165 $\rightarrow$ 89 tokens (-46%)
Suite B: Web Search & Fetch 8 8/8 (100.0%) 8/8 (100.0%) 8/8 (100.0%) 8/8 (100.0%) Preserved at 100.0%
Suite C: Multi-Step Math 8 7/8 (87.5%) 7/8 (87.5%) 6/8 (75.0%) 7/8 (87.5%) 7/7 (100%) on valid math (math_2_trains 476 tok & math_8_digits 469 tok both pass; math_4_system is $215/19$ vs typo 11)
Suite D: Anti-Sycophancy 8 8/8 (100.0%) 8/8 (100.0%) 8/8 (100.0%) 8/8 (100.0%) Visible response rate doubled (37.5% $\rightarrow$ 75.0%)
Suite E: Tool Restraint 6 5/6 (83.3%) 6/6 (100.0%) 5/6 (83.3%) 6/6 (100.0%) +16.7%: restraint_1_reverse_ll (251 tok) & restraint_6_factorial (227 tok) both pass
Mobile Agent Subtotal 38 36/38 (94.7%) 37/38 (97.4%) 35/38 (92.1%) 37/38 (97.4%) 100% pass rate on all 37 mathematically valid tasks
1. InterCode-NL2Bash 20 10/20 (50.0%) 10/20 (50.0%) 10/20 (50.0%) 11/20 (55.0%) +5.0%: Synergy of S4 + S1/S3 solves NL2Bash #19 (156 tok) & #3 (108 tok)
2. BFCL v3 Irrelevance 15 14/15 (93.3%) 14/15 (93.3%) 14/15 (93.3%) 14/15 (93.3%) Normalized JSON schema (float $\rightarrow$ number)
3. OpenAI GSM8K (Test) 20 15/20 (75.0%) 16/20 (80.0%) 15/20 (75.0%) 16/20 (80.0%) +5.0%: Solves GSM8K #14 (393 tok) & #11 (359 tok)
4. TruthfulQA (Gen) 15 15/15 (100.0%) 15/15 (100.0%) 15/15 (100.0%) 15/15 (100.0%) Preserved at 100.0%
5. OpenAI HumanEval pass@1 15 11/15 (73.3%) 11/15 (73.3%) 10/15 (66.7%) 12/15 (80.0%) +6.7%: Mid-Layer S4 solves #1 has_close_elements (444 tok) + #3 (420 tok) + #5 (373 tok), while Dynamic Routing preserves #7 (490 tok)
Established Subtotal 85 65/85 (76.5%) 66/85 (77.6%) 64/85 (75.3%) 68/85 (80.0%) +3.5% over Base
Grand Total (123 Tasks) 123 101/123 (82.1%) 103/123 (83.7%) 99/123 (80.5%) 105/123 (85.4%) +3.3% overall (-18.2% error reduction)

3. Repository Contents & Artifacts

File Size Format Description
wsp_subspace1_think.gguf 8.45 MB GGUF LoRA (qwen35, rank 16) Subspace 1 (id=0): Anti-Overthinking & Timely </think> (248069) Closure (Layers [47, 51, 55, 59, 62, 63])
wsp_subspace2_restraint.gguf 5.63 MB GGUF LoRA (qwen35, rank 16) Subspace 2 (id=1): Pure Code/Math Tool Restraint (Layers [55, 59, 62, 63])
wsp_subspace3_bash.gguf 7.04 MB GGUF LoRA (qwen35, rank 16) Subspace 3 (id=2): Decisive NL2Bash & Shell Execution Routing (Layers [51, 55, 59, 62, 63])
wsp_subspace4_mid.gguf 9.86 MB GGUF LoRA (qwen35, rank 16) Subspace 4 (id=3): Mid-Network Full-Attention Compositional Reasoning & Code Synthesis (Layers [19, 23, 27, 31, 35, 39, 43])
wsp_qwen38_lora.gguf 12.67 MB GGUF LoRA (qwen35, rank 24) Unified rank-24 combined late-layer GGUF LoRA adapter ($\Delta W_1 + \Delta W_2 + \Delta W_3$)
wsp_qwen38_control.gguf 120.4 KB GGUF Control Vector Multi-layer residual steering vectors (direction.47..direction.63)
wsp_qwen38_patch.safetensors 1.02 GB FP16 Safetensors Exact dense FP16 $\Delta W_{\text{down}}^{(l)}$ weight deltas for direct Hugging Face checkpoint merging
manifest.json 2.1 KB JSON Per-layer Frobenius norms, scales, and nullspace leakage audit
scripts/ β€” Python Complete reproducible weight-space surgery, spectral probe, dynamic router, and 4-way ablation scripts
benchmarks/ β€” JSON Full raw per-task outputs across Base, WSP v2.0, WSP v2.1, and the 4-way factorial ablation

4. Quickstart Usage (llama.cpp / llama-server)

Launch llama-server with all 4 orthogonal subspace GGUF LoRA adapters:

llama-server -m Qwen3.8-27B-UD-Q4_K_M.gguf -c 4096 -ngl 46 --port 8088 --host 127.0.0.1 \
  --lora wsp_subspace1_think.gguf \
  --lora wsp_subspace2_restraint.gguf \
  --lora wsp_subspace3_bash.gguf \
  --lora wsp_subspace4_mid.gguf

Then dynamically route subspace scales in 1 ms via POST http://127.0.0.1:8088/lora-adapters (see scripts/run_4way_ablation.py for the <0.1 ms dynamic_route_scales() router):

curl -X POST http://127.0.0.1:8088/lora-adapters \
  -H "Content-Type: application/json" \
  -d '[{"id":0,"scale":1.0},{"id":1,"scale":1.0},{"id":2,"scale":1.0},{"id":3,"scale":0.85}]'
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