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REVIEW 4 major objections 4 minor 39 references

Verbosity-Aware Rationale Reduction: Effective Reduction of Redundant Rationale via Principled Criteria

T0 review · 4 major / 4 minor · reviewed 2026-08-10 · deepseek-v4-flash

Pith's one-line read The paper claims that fine-tuning with verbosity-based sentence pruning yields both higher accuracy and shorter rationales than training on complete chain-of-thought.

desk verdict Genuinely new sentence-level rationale pruning with a likelihood criterion, but the headline gains are not backed by the reported tables or variance evidence. read the letter →

arxiv 2412.21006 v3 pith:Z724SXFY submitted 2024-12-30 cs.CL cs.AI

classification cs.CLcs.AI
keywords rationalereductionchain-of-thoughtverbositysentencepruninglikelihoodratiofine-tuningefficiencyreasoningtoken
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Large language models trained to reason out loud write many intermediate sentences, and prior attempts to shorten those sentences during training have typically sacrificed accuracy. This paper proposes a sentence-level pruning criterion called verbosity: at each training step, the model compares the log-likelihood of the answer with and without a candidate early sentence, and drops the sentence only if its removal makes the correct answer more likely, with an added wrong-answer contrast in the VARR+ variant. The paper claims that models trained this way outperform models trained on complete rationales by an average of 7.71% in accuracy while reducing generated tokens by 19.87% (the main-results section reports 19.37%). If correct, this means many chain-of-thought sentences are not merely unnecessary but actively harmful, and that principled sentence-level pruning can improve both cost and quality at the same time.

What carries the argument

The central object is the verbosity score, a likelihood ratio that compares the model's probability of an answer when a candidate rationale sentence is removed versus when the full rationale is present: $\mathrm{verbosity}(y)=\log[p_\theta(y|R\setminus\{r_i\},x)/p_\theta(y|R,x)]$. In VARR+ this is paired with a wrong-answer contrast, so a sentence is removed only when the ground-truth answer becomes more likely and sampled wrong answers become relatively less likely. The training loop scans sentences from the front of the rationale, respects a linear removal cap $r(t)=\lfloor N_t\,t/T\rfloor$, and begins with a short warm-up phase before pruning starts, so the criterion decides which sentences vanish while the schedule decides how many can vanish.

What would settle it

At the final checkpoint, recompute $\mathrm{verbosity}(y_g)$ for every sentence the method removed during training: if most recomputed values are negative, the early-training decisions were not stable and the reported gains would not transfer to a one-shot pruning pipeline. A complementary check is to replace all training-time pruning decisions with scores from the final checkpoint and compare accuracy and token savings.

Watch

Extended reading notes

Core claim

The central claim is that redundancy in reasoning chains is concentrated in early sentences and can be identified by a likelihood-based score rather than by heuristics. Given an input $x$, a full rationale $R$, and a candidate sentence $r_i$, the verbosity of $r_i$ with respect to answer $y$ is $\mathrm{verbosity}(y)=\log[p_\theta(y|R\setminus\{r_i\},x)/p_\theta(y|R,x)]$, the log-likelihood ratio between the reduced and complete rationales. VARR removes $r_i$ during chain-of-thought fine-tuning when $\mathrm{verbosity}(y_g)\ge 0$; VARR+ additionally requires $\mathrm{verbosity}(y_w)-\mathrm{verbosity}(y_g)\le 0$ for sampled wrong answers. The paper argues, from a pilot study and extensive ablations, that this selective sentence removal preserves and even improves reasoning while cutting generated tokens, and that enforced removal without such criteria, or removal from random or back positions, degrades accuracy.

Load-bearing premise

The load-bearing premise is that the verbosity score computed at one training step remains a stable, reliable guide to which sentences are truly redundant for the rest of training; the pilot study supporting this rests on a single model and reports no error bars.

Editorial extensions

If this is right

  • If the central claim holds, existing chain-of-thought fine-tuning data can be shortened without an accuracy penalty, because many rationale sentences are not just redundant but harmful.
  • Sentence-level pruning with the verbosity criterion dominates token-level pruning: applying the same criterion to tokens gains 24.74% over ICoT-SI, and moving from tokens to sentences adds another 15.98% on the studied tasks.
  • Removal position matters: enforced removal of the first two front sentences without the criterion causes substantial accuracy drops, so the gain comes from criterion-guided selection rather than simply from shorter rationales.
  • The reported average token reduction of about one fifth comes with improved accuracy, meaning the efficiency gain does not trade away reasoning quality.
  • The wrong-answer contrast in VARR+ improves robustness and stability over VARR alone on most datasets, suggesting the extra constraint protects sentences needed to disambiguate correct from incorrect answers.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The verbosity criterion could likely be run offline before training, using a frozen reference model to produce a pruned dataset once; if that matches VARR's interleaved training results, the method becomes a cheap data-preprocessing step instead of a custom training loop.
  • The front-heavy redundancy finding suggests a testable hypothesis for long-context or multi-hop datasets: if critical premises appear early, front pruning should be less effective, and a position-agnostic version of the criterion would need to select later sentences instead.
  • A natural extension is to apply the same likelihood-ratio criterion at inference time to decide when to stop generating, effectively letting the model choose online which sentences to emit; the paper's training-time results make this plausible but do not demonstrate it.
  • Because the criterion is computed from the model itself, it may be sensitive to model scale and calibration; a cross-scale test would reveal whether the pruning signal transfers across model families beyond the 1B-to-7B range studied.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 4 minor

Summary. The paper proposes VARR/VARR+, a sentence-level rationale reduction framework for chain-of-thought fine-tuning. It defines a likelihood-based criterion called verbosity, derived from the KL divergence between a model with complete rationales and one with a candidate sentence removed, and removes early rationale sentences when the model's likelihood of the ground-truth answer does not decrease (Eq. 5) and, for VARR+, when the correct-answer likelihood improves relative to sampled wrong answers (Eq. 9). Training follows a warm-up stage and a linear removal schedule adopted from ICoT-SI. The authors evaluate on MathQA, GSM8K, CommonsenseQA, TriviaQA, and StrategyQA with Mistral 7B and Llama3.2 1B/3B, and claim an average accuracy improvement of 7.71% and a token-generation reduction of 19.87% (abstract) or 19.37% (Section 5.4) relative to Explicit-CoT.

Significance. If the empirical claims hold, the work is a useful contribution to efficient reasoning: it provides a principled, likelihood-based criterion for rationale pruning, grounds sentence-level reduction in a redundancy analysis (Section 3.2), and includes ablations that isolate the reduction unit, sentence position, warm-up ratio, and optimizer reinitialization. The use of open models and datasets, together with the detailed Algorithm 1, supports reproducibility. The main weaknesses are in verification of the headline numbers and in variance reporting, not in the coherence of the method's formulation.

major comments (4)
  1. [Section 5.4, Table 1] The headline claim of a 7.71% average accuracy improvement cannot be verified from the numerical results presented. Table 1, the only per-dataset accuracy table, reports VARR-Sent versus Exp-CoT on Mistral 7B; the relative differences are about +1.99%, -0.51%, +6.20%, +0.61%, and +4.67% for MathQA, GSM8K, CommonsenseQA, TriviaQA, and StrategyQA, averaging approximately 2.6%, not 7.71%. No corresponding per-dataset table is supplied for Llama3.2 1B and 3B, so the aggregate 7.71% figure is not reproducible from the manuscript. Please report the full per-model, per-dataset accuracy and token counts and state explicitly how the average is computed.
  2. [Appendix C; Section 5.4] The experimental evaluation is based on a single run per configuration (Appendix C), with no confidence intervals, standard deviations, or significance tests. Given the small training sets for CommonsenseQA (609 examples) and StrategyQA (1,832 examples) and the 1B-7B model scale, seed-to-seed variation in accuracy is typically several points; the negative GSM8K difference (-0.28) and the small TriviaQA gain (+0.51) in Table 1 are consistent with noise. The statement that VARR+ 'significantly increases' performance is therefore not supported by the evidence as reported. At minimum, report multiple seeds with means and variances for the main comparisons.
  3. [Abstract; Section 5.4] The abstract states a token-generation reduction of 19.87%, while Section 5.4 reports 19.37% for the same claim. This unexplained discrepancy affects a headline quantitative result; the correct average and its definition (over which datasets and models) should be stated consistently.
  4. [Section 3.2, Figure 1] The pilot study motivating early-sentence removal uses a single model (Mistral 7B) and reports no error bars or repeated sampling statistics. Because this observation directly justifies the sequential front-to-back removal order in Algorithm 1, it is load-bearing; the authors should show that the NLL-difference pattern is stable across seeds, models, or at least multiple rationale samples.
minor comments (4)
  1. [Throughout] Please correct typographical errors, including 'Quanitifying' (Section 3.1), 'Intutively' (Section 4.1), 'COT' in Figure 3, 'CommomsenseQA' in Figure 4, 'RAND-SENT REMOV AL' in Table 3, and 'enforcely' in Section 4.4.
  2. [Appendices F-H] Appendix F refers to 'as shown in Table' without a table number, and Appendix H's text refers to 'Table 8' for the MATH experiment while the displayed table is numbered Table 7; please correct the cross-references and table numbering throughout the appendices.
  3. [Section 4.3, Eq. (7)] The number K of negative samples in Eq. (7) is never specified in the main text or Appendix C for the natural-language TriviaQA setting; please state how K is chosen for each answer format.
  4. [Section 5.4] The baseline degradation percentages for ICoT-SI (21.98%) and Coconut (25.20%) are given without a corresponding numerical table; please either reference the relevant figure/table explicitly or include the underlying per-dataset numbers.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the verbosity criterion is a model-dependent decision rule, but the central claims are evaluated on held-out test sets against external baselines and no fitted parameter or imported self-citation reduces the result to its inputs.

full rationale

The paper defines verbosity(yg) as a log-likelihood ratio (Eqs. 2-3) and uses non-negativity as a removal criterion (Eqs. 5 and 9). This is a self-referential decision rule because the trained model computes its own pruning signal, but it is not a fitted parameter renamed as a prediction. The load-bearing empirical claims, that VARR/VARR+ improve accuracy by 7.71% and reduce generated tokens by 19.37-19.87% relative to Explicit-CoT, are measured on held-out test splits against external baselines (Explicit-CoT, ICoT-SI, Coconut). Therefore these claims do not reduce by construction to the pruning criterion. The paper contains no self-citations by the present authors, no imported uniqueness theorem, and no ansatz smuggled in via citation. The pilot study in Section 3 is single-model and lacks error bars, and Appendix C discloses single run evaluation; these are statistical robustness limitations, not circularity. The training-time dependence of the pruning decision on the evolving model is a legitimate methodological risk, but it is not a circular reduction because the test evaluation is independent of the pruning criterion. Consequently, no circular step can be exhibited under the required evidentiary standard, and the score is 0.

Assumptions & free parameters 4 free parameters · 4 assumptions · 0 invented entities

The central claim rests on several modeling choices: the sentence as the reduction unit, the likelihood-ratio criterion computed from the model being trained, the front-position prior from a single-model pilot study, and hand-set hyperparameters (warm-up ratio, removal schedule, number of negatives). None of these are derived from first principles, but they are individually reasonable and partially ablated.

free parameters (4)
  • Warm-up ratio = 0.1
    Fraction of training steps before verbosity-based removal begins; chosen via ablation on TriviaQA and CommonsenseQA (Sec. 5.5.3, Fig. 4), and performance varies with it.
  • Removal schedule r(t) = linearly increasing from 0 to N_t
    Maximum number of sentences removable at step t, adopted from ICoT-SI (Deng et al., 2024b), Eq. (10). It directly controls how much reduction occurs and is not derived from first principles.
  • Number of negative samples K = in-batch negatives (task-dependent)
    Used in Eq. (7) to approximate expectation over wrong answers; set to the full set of non-correct labels for multiple-choice/TF tasks and in-batch negatives for others (Appendix C).
  • Threshold 0 in Eqs. (5) and (9) = 0
    The removal criteria use zero as the cutoff for verbosity differences; this is a hand-set threshold, not a fitted constant.
assumptions (4)
  • domain assumption Sentences are linguistically natural and effective units for rationale reduction.
    The paper argues tokens can distort semantics (Sec. 2.2) and shows empirically that sentence-level removal beats token-level (Table 1), but this is a modeling choice, not a derived fact.
  • domain assumption The model's own likelihood p_theta is a reliable measure of whether a sentence is redundant for future training.
    Eqs. (2)-(5) and (9) use the in-training model's log-likelihood ratio to decide removal; this assumes the current model's probabilities predict which sentences will be unneeded by the final model.
  • domain assumption Redundancy is concentrated in early rationale sentences.
    Section 3.2 and Figure 1 support this for Mistral 7B without error bars; the method only removes from the front, so this generalization is load-bearing.
  • standard math The ground-truth answer distribution q(y|x) is one-hot.
    Used in the derivation of Eq. (3) from Eq. (2); standard in supervised learning.

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Cite this review

Pith. "Pith review of Verbosity-Aware Rationale Reduction: Effective Reduction of Redundant Rationale via Principled Criteria." pith.science (2026). https://pith.science/paper/Z724SXFY

@misc{pith2026241221006,
  author       = {Pith},
  title        = {Pith review of: Verbosity-Aware Rationale Reduction: Effective Reduction of Redundant Rationale via Principled Criteria},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/Z724SXFY}},
  note         = {Machine review of arXiv:2412.21006}
}
read the original abstract

Large Language Models (LLMs) rely on generating extensive intermediate reasoning units (e.g., tokens, sentences) to enhance final answer quality across a wide range of complex tasks. While this approach has proven effective, it inevitably increases substantial inference costs. Previous methods adopting token-level reduction without clear criteria result in poor performance compared to models trained with complete rationale. To address this challenge, we propose a novel sentence-level rationale reduction framework leveraging likelihood-based criteria, verbosity, to identify and remove redundant reasoning sentences. Unlike previous approaches, our method leverages verbosity to selectively remove redundant reasoning sentences while preserving reasoning capabilities. Our experimental results across various reasoning tasks demonstrate that our method improves performance by an average of 7.71% while reducing token generation by 19.87% compared to model trained with complete reasoning paths.

Figures

Figures reproduced from arXiv: 2412.21006 by the authors.

Figure 1
Figure 1. NLL differences across varying sizes of {ri}. The ‘original’ represents the NLL with the complete rationale, while ‘front’, ‘random’, and ‘back’ indicate that {ri} is sampled from the front, random, and back indices of the full index set, respectively. 3.1 Quanitifying the Redundancy Before delving into the method, we first investi￾gate which positions within the rationale sentences should be selected for reduction.… view at source ↗
Figure 2
Figure 2. Overview of our VARR/VARR+ framework. Initially, we select a candidate sentence from the beginning [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Pareto plot of accuracy versus the number of generated tokens. The gray dotted lines connect the Pareto [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figures from the paper (4 more)
Figure 4
Figure 4. Figure 4: Accuracy (barplot) and the average generated [PITH_FULL_IMAGE:figures/full_fig_p008_4.png]
Figure 5
Figure 5. Figure 5: Removal ratio of redundant sentences during [PITH_FULL_IMAGE:figures/full_fig_p008_5.png]
Figure 6
Figure 6. Figure 6: NLL differences across varying sizes of {ri}. The ‘original’ represents the NLL for the full rationale, while ‘front’, ‘random’, and ‘back’ indicate that ri are sampled from the front, random, and back indices of the full index set, respectively. B VARR Implementation …
Figure 7
Figure 7. Figure 7: Additional analysis of the Removal ratio on [PITH_FULL_IMAGE:figures/full_fig_p013_7.png]

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