arXiv paper· machine learning (model compression / efficient inference)· empirical study

Post-Training Ternarization of Qwen3-4B Capability, Effective Bit Budget, Storage Compression, and Deployment

Anirudh Malik, M Sparsh Mehra, Poojith Devan

cs.AI · cs.LG

Quick verdict

Transparent PTQ study ternarizing Qwen3-4B to 1.641 bits/weight (-9.8 pts acc., 8.29→3.96 GiB), honestly reported but lacking external baselines.

Summary

This industrial research report from OneBit AI applies weight-only post-training ternarization to the instruction-tuned Qwen3-4B using the TWLA pipeline — KOTMS rotation, E2M-ATQ ternarization, and GPTQ-style compensation — quantizing 252 linear tensors (81.62% of parameters) while activations stay FP16 and embeddings/LM head remain BF16. The measured effective budget is 1.641 bits/weight rather than the nominal 1.585. Across ten zero-shot tasks evaluated with paired bootstrap confidence intervals, mean accuracy falls from 64.5% to 54.7% (-9.8 points); degradation is stratified: BoolQ retains 84.6% chance-corrected teacher performance, ARC-Challenge only 43.8%. Perplexity rises from 13.639 to 18.748 on WikiText-2, with the worst ratio on C4 (1.46×). A lattice-aware packing run shrinks the checkpoint from 8.29 to 3.96 GiB with unchanged perplexity, while a lossy third-party packing attempt is explicitly excluded. Execution results are negative: the reconstruction path decodes about 22% slower than FP16, and a preliminary Triton GEMV microbenchmark is 4.6× slower than cuBLAS. Limitations include a single seed, no external baselines (int4 GPTQ/AWQ or competing ternary PTQ), an unexplained perplexity mismatch between the headline run (18.748) and the packing run (18.344), no end-to-end benchmark of the packed artifact, and no stated code release.

Review complete

Assessment at a glance

machine learning (model compression / efficient inference)

5

risk flags identified

● high 1

● medium 3

● low 1

Reproducibility readinessmedium
Code & data availablenot stated
Review confidencehigh
AI text signal0/20 passages flagged
Deep research viableCode-reproducibleNeeds GPU

4 strengths · 4 weaknesses · 5 author questions

AI text signal = Binoculars zero-shot detector score over 20 sampled passages (Fast-DetectGPT co-reported) — absence does not prove human authorship, and a flag does not imply misconduct.

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Key claims under review

  • A weight-only PTQ pipeline (KOTMS rotation + E2M-ATQ + GPTQ compensation) converts Qwen3-4B to an adaptive ternary representation at 1.641 effective bits/weight covering 81.62% of parameters, with embeddings and LM head kept BF16.
  • The conversion costs 9.8 accuracy points on average across ten zero-shot comparisons (64.5% to 54.7%), with stratified degradation: BoolQ retains 84.6% chance-corrected teacher performance versus 43.8% for ARC-Challenge.
  • Lattice-aware packing reduces the checkpoint from 8.29 GiB to 3.96 GiB with perplexity preserved to reported precision, while a lossy third-party packing attempt is explicitly excluded from claims.
  • The current execution path provides no speedup — reconstruction-based decode is 0.78× FP16 and a preliminary Triton GEMV is 4.6× slower than FP16 cuBLAS — so compression is demonstrated but acceleration remains open.

Strengths

  • Honest effective-bit accounting

    The paper separates the nominal 1.585-bit ternary symbol from the measured 1.641 bits/weight (§7.1, Eq. 12-13), gives the salience-mask breakdown (Table 5: ~3.6% of weights on a second plane), and keeps representation bits distinct from the 3.96 GiB checkpoint (§7.3), correcting a common abuse of the '1.58-bit' label.

  • Methodologically careful capability evaluation

    Chance-corrected retention (Eq. 14) instead of raw ratios, paired per-item records with 10,000-resample bootstrap CIs, dual MMLU scoring protocols (§6.4: letter 68.5→51.0 vs continuation 45.1→35.0), and a consistent audit trail (§11.5). Table 4 numbers are internally consistent — the 64.5/54.7 means recompute exactly.

  • Candor about negative results

  • Above-average reproducibility detail and failure documentation

Weaknesses

  • No external baselines at matched or higher bits

  • Unexplained inconsistency between headline and packing-run perplexities

  • Statistical fragility

  • The actual deliverable is under-validated and not released

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Scope & Claims

This is an industrial technical report (OneBit AI) characterizing an end-to-end, weight-only post-training ternarization of instruction-tuned Qwen3-4B using prior TWLA components: KOTMS rotation (§4.2), E2M-ATQ order-2 asymmetric residual ternarization (§4.3), and GPTQ-style Hessian-based compensation (§4.5). The paper explicitly disclaims algorithmic novelty (§13.2) and frames four empirical questions: capability, representation, storage, execution. Central claims: (1) a 1.641 effective bits/weight quantized representation over 81.62% of parameters (Table 2: 3.633B ternarized weights across 252 linear tensors; embeddings/LM head stay BF16); (2) mean zero-shot accuracy 64.5% → 54.7% across ten comparisons (Table 4) with stratified loss (BoolQ 84.6% vs ARC-Challenge 43.8% chance-corrected retention); (3) lattice-aware packing shrinks the checkpoint 8.29 → 3.96 GiB at unchanged perplexity (Table 6), with a lossy third-party packing explicitly excluded (§9.2); (4) no speedup — reconstruction decode is 0.78× FP16 (Table 7) and a Triton GEMV is 4.6× slower than cuBLAS (Table 8).

The remaining sections cover Methodology Assessment, Statistical Evidence, Results & Reproducibility, Limitations & Risks, and Verdict & Recommendations.

  • All 4 strengths & 4 weaknesses, analyzed in detail
  • 5 risk flags with severity, section & reviewer questions
  • Methods & statistical evidence assessment
  • 5 questions a peer reviewer would ask
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Frequently asked questions

How much smaller is the ternarized Qwen3-4B model than the original?

After a lattice-aware packing run, the checkpoint drops from 8.29 GiB to 3.96 GiB (about 2.1× smaller) while reproducing the same perplexity to reported precision. The quantized linear weights use 1.641 effective bits/weight, but embeddings and the language-model head stay BF16 and dominate the remaining size.

Is the 1.58-bit Qwen3-4B faster than the FP16 original?

No. The paper reports that its reconstruction-based execution path decodes at 21.28 tok/s versus 27.41 tok/s for FP16 (0.78×), and a preliminary Triton GEMV kernel is 4.6× slower than FP16 cuBLAS on the tested shape. The authors explicitly do not claim any inference speedup.

How much accuracy does the ternarized Qwen3-4B lose?

Mean zero-shot accuracy across ten tasks falls from 64.5% to 54.7% (−9.8 points). Per-task losses range from −3.3 points on BoolQ to −17.5 points on MMLU under letter scoring; chance-corrected retention spans 84.6% (BoolQ) down to 43.8% (ARC-Challenge), with knowledge-heavy tasks degrading more.

What does '1.641 effective bits per weight' mean?

A single ternary symbol (−1/0/+1) carries log2(3)≈1.585 bits of information. This model assigns a Hessian-salient ~3.6% of weights a second ternary plane, so the measured average information budget is 1.641 bits/weight — distinct from both the ideal 1.585 figure and the full 3.96 GiB checkpoint size, which includes BF16 embeddings and metadata.

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