A research artifact from Q1 Descent — reconstructing 1-bit
"intelligence-density" recovery for open-weight models.
What it is. Qwen3-4B with transformer block 0 quantized to 1-bit
(Q1_0_g128: 1.125 bpw, a sign per weight + one FP16 scale per 128-group) and
then trained back toward the full-precision teacher. Blocks 1–35 remain F16.
So it isolates a single 1-bit block in an otherwise-F16 model — a validation of
the recovery recipe, not a fully 1-bit model.
Recipe (V1). Straight-through estimator: FP32 master weights, forward = the
exact Q1_0 encoding (so both signs and scales move), backward = straight
through. Objective: KL to the FP16 teacher on C4 — 400 steps, lr 1e-4, bf16.
The trained weights are the deployed 1-bit encoding (no latent/deploy gap).
Result (GSM8K, greedy, thinking-off):
block 0 = 1-bit, rest F16
GSM8K
naive (untrained Q1_0)
0.25
trained (this model)
0.93
F16 reference
0.94
Training recovers the dented block to ≈ full-precision capability at 1 bit.
Caveats. Early research artifact: one 1-bit block (not a full 1-bit model),
4B scratchpad scale, single seed, GSM8K-only. Known token-level instability in
some contexts (an occasional malformed token) — under investigation. Not
affiliated with PrismML or the Qwen team.