REVIEW 5 major objections 7 minor 61 references
Enhancing Reasoning Capabilities in SLMs with Reward Guided Dataset Distillation
T0 review · 5 major / 7 minor · reviewed 2026-08-06 · deepseek-v4-flash
Pith's one-line read This paper proposes AdvDistill, a reward-guided dataset distillation method that trains a 1.5B student on multiple teacher responses weighted by group-relative advantages, and reports the student beating the 7B teacher on GSM-8K (91.52%…
desk verdict A sensible distillation recipe with honest reporting, but the headline result is confounded by data volume and compute; the reward mechanism isn't isolated. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The load-bearing object is the group-relative advantage weighted loss. For each prompt, the teacher samples $k=8$ responses; a rule-based reward combines a length-aware cosine score with a binary format score as $r_j = w_{\text{cosine}} \, \text{Cosine}_j + w_{\text{format}} \, \text{Format}_j$. Rewards are normalized within the prompt, $A_j=(r_j-\mu)/(\sigma+\epsilon)$, and a softmax over these advantages with temperature $\tau$ produces the per-response weights $w_i$. The student loss is $\sum_i w_i \mathcal{L}_{\text{CE}}(y_i) + \lambda_{\text{wrong}} \mathcal{L}_{\text{contrast}}(y_i)$, where the contrastive term pushes down the student's average token probability on incorrect responses. This weighting is what lets the student train on all eight responses, including wrong ones, without requiring teacher logits.
What would settle it
Run the same 1.5B fine-tuning recipe on the identical filtered eight-response data with all weights set equal (or with weights shuffled) and evaluate on GSM-8K and GSM-PLUS. If accuracy stays near 91.52% and 69.09%, the reward guidance is not the active ingredient. A second check would replace the cosine reward with a simple correctness-only reward and compare the resulting accuracy and response lengths.
Extended reading notes
Core claim
The central claim is that giving a student model not one distilled answer but a weighted bundle of eight teacher responses—where the weight of each response is its reward relative to the other responses to the same prompt—produces better reasoning than standard supervised distillation on the teacher's best output. In the paper's experiments, the AdvDistill 1.5B student scores 91.52% on GSM-8K and 69.09% on GSM-PLUS, above the 7B teacher's 88.58% and 67.83%; on OPEN-S1 and OPEN-RS it beats both the 1.5B and 3B SFT-distilled students while remaining below the teacher; and on MMLU-PRO it does not beat SFT distillation, which the paper explains as a general-knowledge task where rule-based rewards add little. The authors also report that the method changes behaviour: it shortens incorrect responses on reasoning tasks but worsens the correct-to-incorrect length ratio on simple math and hurts template adherence.
Load-bearing premise
The assumption that carries the argument is that the advantage weights, rather than the larger eight-response filtered training set, cause the student's gains; the paper reports no control with equal weights over the same responses.
Editorial extensions
If this is right
- A 1.5B parameter student can exceed the 7B teacher's accuracy on GSM-8K (91.52% vs 88.58%) and GSM-PLUS (69.09% vs 67.83%), so on math-style benchmarks distillation can improve rather than merely approximate the teacher.
- Training on multiple reward-weighted responses beats single-best-response SFT on the mathematical and complex-reasoning benchmarks tested, for both the 1.5B and 3B students.
- The gains do not extend to MMLU-PRO, where SFT-distilled 1.5B scores 30.07% vs AdvDistill's 23.57%, so reward-guided distillation is domain-dependent.
- The extra teacher sampling costs about 4.5x more than SFT ($108.75 versus $23.75 in the paper's accounting), so the accuracy gain is bought with more compute.
- AdvDistill also changes response behaviour: it reduces the incorrect-to-correct length ratio on reasoning datasets but increases it on simple math, and lowers template adherence.
Reading between the lines
- Not claimed by the paper: the reported gains could come from the larger filtered dataset and 4.5x compute rather than from the advantage weights, since no control trains on the same eight responses with equal weights.
- Not claimed by the paper: varying the cosine reward's boundary values ($\eta_{\min}$, $\eta_{\max}$) should shift both accuracy and response-length ratios in a predictable direction, giving a cheap test of whether the length penalty is the active ingredient.
- Not claimed by the paper: the same reward-weighted bundle could transfer to other verifiable domains such as code execution or formal proof, where correctness is checkable without an oracle model.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper proposes AdvDistill, a dataset distillation framework in which a teacher LLM (Qwen2.5-7B) generates k=8 responses per prompt; these responses are scored with a rule-based composite reward (length-aware cosine plus format adherence), converted to group-relative advantages, and used to weight the student's cross-entropy loss, with an additional contrastive penalty on incorrect responses. A group is retained only if at least one of its 8 responses is correct. The authors fine-tune Qwen2.5-1.5B with this loss and compare against SFT baselines that fine-tune on the teacher's single highest-advantage response per prompt, as well as against base models, on GSM-8K, OPEN-S1, MMLU-PRO and OOD sets (GSM-PLUS, OPEN-RS). Table 2 reports that the 1.5B AdvDistill model reaches 91.52% on GSM-8K and 69.09% on GSM-PLUS, outperforming the 7B teacher and all baselines on those sets, while on OPEN-S1 it is below the teacher and on MMLU-PRO it is below the SFT-distilled 1.5B model. The paper also analyzes response verbosity, token degeneracy, and template adherence across models.
Significance. If the reported gains are attributable to the reward-guided weighting mechanism, the method would be a useful off-policy distillation alternative that avoids logit matching and is simple to implement with rule-based rewards. The behavioral analysis (verbosity, degeneracy, format adherence) is a worthwhile addition and provides evidence that the method changes model behavior beyond accuracy. However, the central comparison is currently confounded by simultaneously changing the training set size, compute budget, and loss weighting, so the paper does not yet establish that advantage weighting, rather than simply seeing eight teacher responses per prompt, drives the gains. The method is not fully novel relative to the cited advantage-guided distillation works (Gao et al., 2025; Y. Zhang et al., 2025), but the specific combination of multi-response sampling, rule-based rewards, and a contrastive penalty could be a contribution if the mechanism were isolated with appropriate ablations.
major comments (5)
- [Section 3.1 and Table 2] The headline comparison is confounded. SFTDistilled is fine-tuned on the single highest-advantage teacher response per prompt, while AdvDistill trains on all eight responses with the Eq. (5) loss; Table 3 shows this also means 4.5x more compute. The reported gains could therefore be due to seeing eight (partly correct) responses per prompt and more training tokens, rather than to the advantage-derived weights. The authors should include a control that trains on exactly the same accepted 8-response dataset with uniform weights w_i = 1/k and no contrastive penalty (lambda_wrong = 0), holding all other hyperparameters fixed; without this control, Eq. (5) and Table 2 cannot separate the reward mechanism from scale.
- [Section 3] The group filtering rule, 'A group is accepted into the final dataset if at least one of the responses is correct,' is an uncontrolled variable. This rule changes the training distribution in a way that is independent of the advantage weighting and may make the 8-response set easier than the single-best-response set. The authors should ablate this filtering rule (e.g., no filtering, or filtering by a different criterion) to show that the gains are not an artifact of dataset selection.
- [Table 3 and Section 5] Table 3 reports compute costs for 'AdvDistill(3 Responses)' but no accuracy results are given for this variant anywhere in the paper. If the number of responses k is meant to be varied as an ablation, the corresponding performance numbers should be reported; otherwise the row is uninterpretable and gives no information about how k affects the trade-off.
- [Section 5] The paper reports single-run accuracy values without any statistical significance tests, confidence intervals, or multiple seeds. Given that the core claim is a comparison between two methods on several datasets, the authors should provide variance estimates across at least a few training seeds (or a paired significance test) so that the magnitude of the differences in Table 2 can be assessed.
- [Section 5.1] The sentence 'We observe a two-fold improvement on test and OOD sets for the 1.5B student over its base model' is imprecise. In Table 2, AdvDistill improves the 1.5B base substantially on GSM-8K and GSM-PLUS, but the improvements on OPEN-S1 and OPEN-RS are much smaller (22.77% vs 13.52% and 23.44% vs 15.18%), and on MMLU-PRO the AdvDistill model is actually worse than the SFTDistilled baseline. The claim should be restricted to the mathematical datasets or otherwise stated with the domains explicitly separated.
minor comments (7)
- [Section 4.1.1] There is a typo: 'represent represent' should be 'represent'.
- [References] Several pairs of references are listed as distinct entries but appear identical: Agarwal et al. (2024a) and (2024b), Xu et al. (2024a) and (2024b), and K. Zhang et al. (2025a) and (2025b). These should be merged or properly differentiated.
- [Tables 2 and 6, Figures 3 and 6] The dataset name is inconsistent: the paper uses both 'OPEN-RS' and 'OPEN-R1' for the same OOD benchmark. Please choose one name and use it consistently throughout the text, tables, and figures.
- [Tables 6 and 7] The table formatting is hard to read: entries such as '0.0270.019' and '552.8 552.7' appear as concatenated numbers without a visible separator. Use separate columns or parentheses for correct/incorrect response values.
- [Figure 1] The figure caption contains the odd string 'A+−' repeated many times, which appears to be a rendering artifact rather than a meaningful symbol; please clarify the intended notation.
- [Code Availability] The phrase 'The code is available at: GitHub Repository' is not a functional link; a URL or repository identifier should be provided.
- [Section 5.1] The sentence referencing the performance comparison says 'Table 1' but the actual comparison table is Table 2.
Circularity Check
No circularity found: the AdvDistill result is an empirical comparison on held-out benchmarks, not a derivation that reduces to its inputs.
full rationale
The central claim (Section 5.1, Table 2) rests on held-out accuracy on GSM-8K, GSM-PLUS, OPEN-S1, OPEN-RS, and MMLU-PRO. The training objective in Eq. (5) uses advantages computed from teacher responses and rule-based rewards (Eqs. 2-4), but nothing in those equations defines the test-set accuracies; the reported improvements are measured, not derived. No fitted parameter is renamed as a prediction, no load-bearing result depends on a self-citation, and no uniqueness theorem or ansatz is imported from the authors' prior work. The main weakness is a comparison confound: AdvDistill trains on all 8 responses with 4.5x more compute while SFTDistilled trains on one response, so the advantage-weighting mechanism is not isolated. That is a confound rather than circular reduction, and under the stated rules it does not raise the circularity score.
Assumptions & free parameters
free parameters (8)
- w_cosine =
2
- w_format =
1
- tau (student) =
0.5
- lambda_wrong =
0.5
- teacher temperature =
0.9
- k (generations per prompt) =
8
- L (max token length) =
2048
- group filtering rule =
at least one correct
assumptions (5)
- domain assumption Teacher's temperature-0.9 samples provide a diverse and useful training distribution for the student.
- domain assumption Rule-based reward functions correctly identify correct/incorrect responses and reward quality.
- ad hoc to paper Discarding groups with zero correct responses improves training and does not introduce harmful bias.
- domain assumption Group relative advantage normalization (GRPO-style) is beneficial for off-policy distillation.
- domain assumption Contrastive penalty on incorrect responses helps without destabilizing training.
Cite this review
Pith. "Pith review of Enhancing Reasoning Capabilities in SLMs with Reward Guided Dataset Distillation." pith.science (2026). https://pith.science/paper/P2JL2GZL
@misc{pith2026250700054,
author = {Pith},
title = {Pith review of: Enhancing Reasoning Capabilities in SLMs with Reward Guided Dataset Distillation},
year = {2026},
howpublished = {\url{https://pith.science/paper/P2JL2GZL}},
note = {Machine review of arXiv:2507.00054}
}
read the original abstract
The push to compress and impart the proficiency of Large Language Models (LLMs) into more deployable and efficient Small Language Models (SLMs) has benefited from improvements in knowledge distillation (KD) techniques. These techniques allow a smaller student model to learn from a more capable and larger teacher model's responses. However, distillation often revolves around the student model merely copying the teacher's in-distribution responses, limiting its generalisability. This limitation is amplified on reasoning tasks and can be computationally expensive. In this study, we propose AdvDistill, a reward-guided dataset distillation framework. We utilise multiple generations (responses) from a teacher for each prompt and assign rewards based on rule-based verifiers. These varying and normally distributed rewards serve as weights when training student models. Our methods and their subsequent behavioural analysis demonstrate a significant improvement in student model performance for mathematical and complex reasoning tasks, showcasing the efficacy and benefits of incorporating a rewarding mechanism in dataset distillation processes.
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Reviewed August 6, 2026 · model on record in the stance chip above.
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