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Writing study: CAT-Q: Cost-efficient and Accurate Ternary Quantization for LLMs

← ICML 2026 oral writing corpus

Shigeng Wang, Chao Li, Yangyuxuan Kang, Jiawei Fan, Anbang Yao · Official ICML 2026 oral record

Figure, table and section ledger

Editorial contribution type: Efficiency, inference & systems (primary).

Layout extraction, not a required paper template. Counts are distinct caption labels; a multi-panel figure counts once. Section spans are estimated from heading positions, including floats and whitespace. Method and limitations.

Canonical PDF
19 physical pages
Before references / appendix
≈ 9.04 page-equivalents
Main figures / tables
3 / 13
Attached appendix figures / tables
11 / 2
Attached appendix span
≈ 6.91 page-equivalents
Before references / appendix: ≈ 47.58%References / intervening material: ≈ 16.05%Attached appendix: ≈ 36.37%Estimated layout envelopes, not text/artwork area. Unresolved appendix boundaries remain within the undivided post-body material.

Source-bound correction: Restore the source’s letter-only appendix captions: Tables A-B and Figures A-K on physical pp14-19. These are caption labels, not numbered main sections.

Section-by-section lengths and source pages

The title/abstract/front matter precede the first numbered heading. A span ends at the next detected top-level heading, not at the last sentence; end-page whitespace is included. References and statements are listed separately. These are not measurements of text-only or artwork area.

Top-level headingStarts on PDF pageEstimated spanShare of entire PDF
1. Introduction1≈ 1.55 pp.8.16%
2. Method2≈ 2.76 pp.14.53%
3. Experiments5≈ 3.63 pp.19.11%
4. Related Work9≈ 0.5 pp.2.63%
5. Conclusion9≈ 0.1 pp.0.53%
Impact Statement9≈ 0.14 pp.0.74%
References10≈ 3.04 pp.16%
Appendix13≈ 0.2 pp.1.05%
A. Datasets Used in Experiments13≈ 0.8 pp.4.21%
B. Implementation Details of CAT-Q14≈ 0.69 pp.3.63%
C. Illustrations of the Smooth Transition Function f (·) with Varying Sharpness14≈ 0.71 pp.3.74%
D. Comparison of Loss Curves of CAT-Q with vs. without the ST Component15≈ 0.17 pp.0.89%
E. A Pilot Study of CAT-Q on Challenging Mathematics and Coding Tasks15≈ 0.43 pp.2.26%
F. A More Comprehensive Comparison of Different Strategies for Determining α and ∆.16≈ 0.24 pp.1.26%
G. Discussion of Limitations16≈ 3.67 pp.19.32%
All detected figure and table locations

Argument and organization

  1. 1 Introduction; 2 Method

    Separates ternary post-training quantization from training low-bit models from scratch.

  2. 2.2-2.4 Components

    Builds modulation, soft-to-hard conversion and the sliding-layer reconstruction objective.

  3. 3 Experiments; 4 Related Work; 5 Conclusion

    Separates model quality, component ablations and measured deployment performance.

Problem, claim and contribution

The low-data headline concerns calibration of pretrained models, making inherited pretraining an essential part of the comparison context.

Abstract, p.1; Tables 2-3, p.6 · Main paper

Argument and section order

The method distinguishes a learnable distribution adjustment from the transition schedule and the multi-layer objective that uses both.

Section 2, pp.3-5 · Main paper

Figures, captions and visual explanation

The overview places learned factors and statistical priors beneath the conversion flow; deployment results put hardware, batch size, length and actual storage formats in the caption.

Figure 1, p.3; Table 13, p.9 · Main paper

Tables, comparisons and evidence

Full-precision rows retain the accuracy loss after ternarization, while comparisons with QAT models explicitly count quantization-stage tokens.

Tables 1-3, p.6 · Main paper

Appendix and reproducibility

The supplement begins with an itemized roadmap and ends by acknowledging remaining accuracy gaps and limited optimized kernel support.

Appendix opening, p.13; Appendix G, p.16 · Main paper

Clarity and writing conventions

The broad efficiency claim is made more interpretable by separate quality, calibration-cost and hardware-throughput reports rather than bit width alone.

Sections 3.3-3.4, pp.6-9 · Main paper

What to reuse—and what not to infer

Transferable lesson: Separate inherited model cost, calibration cost, representation size and measured deployment speed instead of treating one as a proxy for all four.

Boundary: The large token reduction is not an end-to-end pretraining saving; accuracy remains below full precision and deployment gains are hardware/format-specific.

Apply this lesson using the argument and evidence worksheet.

Inspection record and sources

Checked
2026-10-07
Reading status
Writing-focused manuscript scan + selected visuals inspected
Main text
Writing-oriented scan of the main argument through physical p.9, with focused physical-page text inspection on 1, 3, 5, 6, 7, 9. Framing, section progression, mechanism/proof explanation, displays, comparison conditions and conclusions were inspected. This is not exhaustive technical reading, proof verification or reproduction.
Appendix / supplement
Appendix organization and main-text pointers were checked; focused text inspection of physical pages 13, 16. Remaining appendix proofs and details were not exhaustively read. No separately linked supplement inspected.
Visually inspected PDF pages
3, 9

This is a writing-focused scan of the manuscript and the stated supplementary scope: framing, organization, visual explanation, evidence presentation and wording. It is not a line-by-line proof audit, reproduction of results or exhaustive scientific review.