REVIEW 4 major objections 6 minor 3 cited by
Reasoning-Table: Exploring Reinforcement Learning for Table Reasoning
T0 review · 4 major / 6 minor · reviewed 2026-08-07 · deepseek-v4-flash
Pith's one-line read This paper claims that GRPO-based reinforcement learning with simple rule-based outcome rewards outperforms supervised fine-tuning across tableQA, fact verification, table-to-text, and text-to-SQL.
desk verdict A broad RL-over-SFT sweep for table reasoning whose 'first' claim is contradicted by its own citations, but whose empirical core is plausible and worth refereeing seriously. 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 machinery is the reward function $$R(o_i)=R_{\text{ans}}(o_i)\times(1+\lambda_1 R_{\text{pos}}(o_i))+\lambda_2 R_{\text{fmt}}(o_i),$$ trained with GRPO's group-relative advantage estimate. $R_{\text{ans}}$ is a binary rule-based outcome reward defined per task: exact match for short answers, F1 threshold for long strings, SQL execution match for text-to-SQL, and BLEU threshold for long-form and table-to-text outputs. $R_{\text{pos}}$ rewards cell-level annotations that match ground-truth reference cells, and the multiplicative coupling ensures it only contributes when the answer is correct. This mechanism lets the model learn from its own rollouts rather than from teacher-generated chain-of-thought, with an optional cold start from filtered Reason-SFT data.
What would settle it
Compare the paper's rule-based reward against an oracle semantic-equivalence reward (human- or LLM-judged) on a dataset like WikiTQ where many gold answers have multiple valid phrasings, training identical GRPO runs otherwise. If the oracle-reward model beats the rule-based-reward model by a large margin on human-judged correctness, the rule-based reward is not a faithful correctness proxy and the central claim fails for answer-equivalence tasks.
Extended reading notes
Core claim
The central claim, stated on the paper's own terms, is that applying GRPO reinforcement learning with simple rule-based outcome rewards to table reasoning produces a model that outperforms SFT on every task family tested. The final reward couples answer correctness with table-specific evidence: $R_{\text{ans}}$ is exact match, F1 threshold, SQL execution match, or BLEU threshold, while a position reward $R_{\text{pos}}$ pays for annotating the actual cells and columns used in reasoning, and a format reward enforces the expected output structure. In the unified tableQA setting, RL-zero raises the average from 49.80 (No-Reason SFT) to 60.12, and Reason-SFT+RL reaches 62.62, surpassing Claude-3.7-Sonnet by about 4.0 points. On text-to-SQL, the method reaches 68.3% execution accuracy on the BIRD dev set with a 7B model. The paper further claims that RL, unlike SFT, remains robust under column and row perturbations and transfers to out-of-domain table datasets.
Load-bearing premise
The rule-based outcome reward—exact match, F1 threshold, SQL execution match, or BLEU threshold—faithfully identifies every acceptable answer; if it mislabels correct answers as wrong or wrong answers as right, the reinforcement signal is corrupted.
Editorial extensions
If this is right
- GRPO reinforcement learning with rule-based outcome rewards can replace or complement SFT across tableQA, table fact verification, table-to-text, and text-to-SQL, with larger gains on reasoning-intensive tasks.
- Unified multi-task RL lets a 7B model beat a much larger proprietary model (Claude-3.7-Sonnet) on tableQA benchmarks, indicating that task diversity in RL is a scaling axis.
- RL-trained models are more robust than SFT models to table serialization changes and column or row order perturbations, and transfer better to out-of-domain tables.
- Test-time scaling works: increasing rollouts improves pass@n and majority-voting accuracy on BIRD, with the best 7B configuration reaching 68.3% execution accuracy.
- Data selection matters: filtering RL training data to 'challenging' examples yields better performance than using all data or only unstable examples.
Reading between the lines
- The paper leaves implicit that its data-ablation result—training on 'challenging' examples beats using all data—points toward curriculum or difficulty-sampled RL as a natural way to improve sample efficiency.
- Because the LLM-as-judge reward improved WikiTQ over rule-based matching, replacing the rule-based reward with an equivalence-aware judge is a plausible extension that could lift performance on free-form and multi-format answers.
- The position reward only contributes when the answer is correct; a natural extension would be to convert it into a dense process signal during rollouts for multi-hop table reasoning.
- The authors' stated lack of a code-execution module for tableQA implies that tool-augmented RL, executing Python or SQL during rollout, is a likely next step for reducing arithmetic hallucinations.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces Reasoning-Table, a GRPO-based reinforcement-learning pipeline for table reasoning. The method trains Qwen2.5-7B on tableQA, fact verification, table-to-text, and text-to-SQL using a rule-based outcome reward, optionally combined with a format reward and a novel position-evidence reward. The main empirical claims are that RL outperforms SFT across all task families, that unified RL training on seven tableQA datasets reaches an average of 62.62 and surpasses Claude-3.7-Sonnet by about 4.0 points, and that the method improves robustness and out-of-domain generalization. The authors release their curated datasets and code.
Significance. If the central claims hold, the paper would be a valuable contribution: it demonstrates that simple rule-based outcome rewards can drive reinforcement learning for structured table reasoning, introduces a position-evidence reward that is intuitively useful for table-grounded reasoning, and provides a broad empirical comparison across four task families with released data and code. The robustness and generalization experiments are also informative. However, the significance is currently bounded by the evaluation protocol: the headline margins and the comparison to proprietary models are selected or reported without a held-out validation set, multiple seeds, or confidence intervals, and the 'first application of RL to table reasoning' claim is explicitly contradicted by the paper's own related-work section. These issues need to be addressed before the quantitative claims can be taken at face value.
major comments (4)
- [§4.1, Table 1 footnote] The paper states that 'We only use the train set for training and the test set for evaluation, without using the validation set.' Yet all ablation and configuration decisions—reward weights in Tables 3 and 4, the data-version choice in Figure 3, the N-gram reward added in App. C.2, and the model-size analysis in Figure 4—are evaluated on the same test/dev sets used for the headline numbers. Selecting λ1, λ2, data filtering, and extra rewards from test performance can inflate the reported RL-over-SFT margins (60.12 and 62.62 averages) and the 4.0-point margin over Claude-3.7-Sonnet. The authors should either introduce a held-out validation split and report the final numbers on a truly untouched test set, or report multiple seeds with means and confidence intervals for all key configurations.
- [§4.2, Table 1] The comparison to Claude-3.7-Sonnet, GPT-4o, and Qwen2.5-32B-Instruct appears to be zero-shot prompting, since these models are not fine-tuned on the training portions of the benchmarks, whereas Reasoning-Table is trained on those exact datasets. The abstract's claim of 'surpassing larger proprietary models' therefore conflates a fine-tuned model with an inference-only baseline. The paper should explicitly state the inference protocol for all baselines and either add stronger fine-tuned baselines or soften the claim from 'state-of-the-art' to 'state-of-the-art among fine-tuned open 7B models at the time of writing.' There is also an internal inconsistency: §4.2 says 'Reason-SFT+RL surpasses Claude-3.5-Sonnet', while the abstract and Table 1 refer to Claude-3.7-Sonnet.
- [§3.4, §5.1, Table 3] The rule-based outcome reward is a central design choice, but the paper itself provides evidence that it is an imperfect proxy: in §5.1, the LLM-as-a-judge reward improves WikiTQ from 80.35 to 81.23, yet the paper does not adopt it in the main training runs. Since the rule-based reward is essentially the same metric used for evaluation, this is not a circularity, but it is a correctness-risk concern. If acceptable answers are systematically mislabeled as incorrect, the RL signal is corrupted and the RL-over-SFT conclusion may partly reflect reward optimization rather than genuine reasoning improvement. The paper should quantify agreement between the rule-based reward and the LLM judge, and justify the decision to keep the rule-based reward in the main experiments despite the WikiTQ result.
- [Abstract vs. §6 (Related Work)] The abstract and introduction repeatedly claim that Reasoning-Table is 'the first application of reinforcement learning (RL) to table reasoning.' However, §6 cites Table-R1 (Yang et al., 2025; Wu et al., 2025b) as sharing the same motivation and applies RL to table reasoning. This is an internal contradiction in the novelty claim. The 'first' wording should be relaxed, for example to 'one of the first' or 'the first unified systematic study across four table-reasoning task families,' unless the authors can specify a precise technical sense in which their contribution is strictly prior.
minor comments (6)
- [Figure 1 caption] The caption says 'using the GPRO RL method'; the algorithm used throughout the paper is GRPO. Please correct the typo.
- [App. A.1, App. A.2 headings] The headings 'Reason-SFT Data Quailty Control' and 'SFT Data Quailty Control' contain a misspelling of 'Quality.'
- [Table 12] In Table 12, both FeTaQA and TAT-QA are attributed to (Nan et al., 2022); TAT-QA should be attributed to Zhu et al. (2021), and FeTaQA to Nan et al. (2022).
- [§3.2] The notation 'T5 i=1 Pi' for the union of position sets is ambiguous; the 'T' likely represents a union symbol that did not render. Please use a clear union notation such as ⋃_{i=1}^{5} P_i.
- [Table 8] The column headers in Table 8 lack spacing ('Origin(No-Reason Data)After Stage1After Stage2'), making the table difficult to read.
- [§5.4] The text says 'using the strongest OmniSQL model as the base, Reasoning-Table achieves a performance of 69.0 in the majority voting setting'; Figure 5 appears to show multiple lines, and it would help to mark explicitly which line corresponds to the 69.0 value and whether this is the same as the 68.3 reported in the abstract or a different configuration.
Circularity Check
No significant circularity: the paper's claims are empirical and benchmarked against external ground truth.
full rationale
The paper's central claim is that GRPO-based reinforcement learning with rule-based outcome rewards outperforms supervised fine-tuning across tableQA, fact verification, table-to-text, and text-to-SQL. This claim is supported by direct evaluations on external benchmarks with ground-truth answers, such as WikiTQ, BIRD, and Spider. The training reward functions (exact match, F1 threshold, execution match, BLEU threshold) align with the evaluation metrics, but this is standard objective design rather than circularity; the comparison to SFT remains empirical and is not an identity. The position reward uses ground-truth cell sets generated by a larger LLM (Qwen2.5-32B) and is ablated against test sets, so its benefit is measured externally rather than assumed. The paper's citation of its own TableQAKit is for data preprocessing and is not load-bearing for the central results. No equation or derivation reduces to its own inputs, and no fitted parameter is renamed as a prediction. Therefore, the derivation chain is self-contained with respect to circularity.
Assumptions & free parameters
free parameters (10)
- Reward weight lambda1 (position reward) =
0 or 0.2 depending on setting
- Reward weight lambda2 (format reward) =
0.2 in main training
- F1 threshold phi =
not explicitly stated
- BLEU threshold tau =
not explicitly stated (BLEU > 0.3 used for data filtering; tau used in reward)
- Redundancy filtering similarity threshold =
0.7
- Sentence length cutoff =
5 words
- N-gram reward n =
2 (or 1 if insufficient tokens)
- KL coefficient beta =
1e-3 for tableQA, 0 for SQL RL
- Clip higher ratio =
0.28
- Rollout count per prompt =
5 for tableQA, 16 for SQL, 16 in initial RL-zero
assumptions (5)
- domain assumption The GRPO objective with group-relative advantage provides a valid policy gradient update for LLM fine-tuning.
- domain assumption The rule-based outcome reward (EM, F1, EX, BLEU) is a reliable indicator of answer correctness for RL.
- domain assumption The ground-truth answers in the adopted benchmarks are error-free.
- domain assumption LLM-generated position evidence (71.17% overall correctness) is accurate enough to serve as the ground-truth set G for the position reward.
- domain assumption Qwen2.5-32B pass@8 difficulty labels accurately reflect task difficulty for data selection.
Cite this review
Pith. "Pith review of Reasoning-Table: Exploring Reinforcement Learning for Table Reasoning." pith.science (2026). https://pith.science/paper/VECYECVK
@misc{pith2026250601710,
author = {Pith},
title = {Pith review of: Reasoning-Table: Exploring Reinforcement Learning for Table Reasoning},
year = {2026},
howpublished = {\url{https://pith.science/paper/VECYECVK}},
note = {Machine review of arXiv:2506.01710}
}
read the original abstract
Table reasoning, encompassing tasks such as table question answering, fact verification, and text-to-SQL, requires precise understanding of structured tabular data, coupled with numerical computation and code manipulation for effective inference. Supervised fine-tuning (SFT) approaches have achieved notable success but often struggle with generalization and robustness due to biases inherent in imitative learning. We introduce Reasoning-Table, the first application of reinforcement learning (RL) to table reasoning, achieving state-of-the-art performance. Through rigorous data preprocessing, reward design, and tailored training strategies, our method leverages simple rule-based outcome rewards to outperform SFT across multiple benchmarks. Unified training across diverse tasks enables Reasoning-Table to emerge as a robust table reasoning large language model, surpassing larger proprietary models like Claude-3.7-Sonnet by 4.0% on table reasoning benchmarks. The approach also achieves excellent performance on text-to-SQL tasks, reaching 68.3% performance on the BIRD dev dataset with a 7B model. Further experiments demonstrate that Reasoning-Table enhances the model's generalization capabilities and robustness.
Figures
Forward citations
Cited by 3 Pith papers
-
CLARity: Reasoning Consistency Alone Can Teach Reinforced Experts
A consistency reward parsed by a 7B LLM, plus a two-stage refine-then-monitor pipeline and reformulated easy questions, improves MCQ-RL accuracy-with-consistency in law and medicine (58.9 vs 51.4 average Acc+).
-
Reward Modeling for Reinforcement Learning-Based LLM Reasoning: Design, Challenges, and Evaluation
A taxonomy-driven survey arguing that reward design is the central mechanism shaping reliable LLM reasoning, with maps of reward paradigms, reward-hacking failure modes, and benchmark pitfalls.
-
Schema-R1: A reasoning training approach for schema linking in Text-to-SQL Task
Schema-R1 combines cold-start SFT on 200 CoT samples with GRPO rule-based RL, reporting table and column filter accuracy gains of 10 percentage points or more over a fine-tuned baseline on Spider-dev.
Reference graph
Works this paper leans on
- [1]
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[2]
Barbados - Sir Theodore Brancker entered in 1961. Nope
work page 1961
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[3]
Name is missing, but the year is 1970
Bolivia - President of the Senate, entered 1970. Name is missing, but the year is 1970. So that’s one. . . . Wait, let me recount: - Bolivia: 2 entries (President of the Senate and Chamber of Deputies) both 1970. Total 2. - Brazil: 2 entries (President of the Senate and Chamber of Deputies) both 1970. Now total 4. - El Salvador: 1970 (with ?). Total 8. - ...
work page 1970
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[5]
Bolivia President of the Chamber of Deputies: 1970 (2)
work page 1970
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[8]
Bolivia President of the Senate: 1970 (1)
work page 1970
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[9]
Brazil President of the Chamber of Deputies: 1970 (4)
work page 1970
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[10]
But the entry for Uruguay’s Fernando Elichirigoity is March 1, 1970, which counts
Uruguay President of the Chamber of Deputies: March 1, 1970 (10) Additionally, Nicaragua has entries with ”None” so excluded. But the entry for Uruguay’s Fernando Elichirigoity is March 1, 1970, which counts. Wait, also, what about Venezuela? Their entries are 1968. No. Mexico’s entries are 1967. So the count is 10? Wait, but let me check the exact entrie...
work page 1970
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[11]
Uruguay President of the Chamber of Deputies: 1970 (10) Yes, that’s 10. Therefore, the answer is 10. But wait, I need to check if any of the entries with exact dates (e.g., July 20, 1970) are counted. Since the year is 1970, they should be counted regardless of the month. So even if they entered in July, it’s still 1970. So those are valid. Now, cross-che...
work page 2018
Show all 24 references
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[12]
, tp,m}, Tg = {tg,1,
Tokenize: Split into Tp = {tp,1, . . ., tp,m}, Tg = {tg,1, . . ., tg,n}, normalizing key- words
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[13]
,tp,i+n−1) | 1 ≤ i ≤ m − n + 1} Ng = {(tg,j,
N-grams: For n: Np = {(tp,i, . . . ,tp,i+n−1) | 1 ≤ i ≤ m − n + 1} Ng = {(tg,j, . . . ,tg,j+n−1) | 1 ≤ j ≤ n − n + 1}
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[14]
D Other train results We also present the metric changes during the training process on the HiTab dataset
Similarity: simn = ( |Np∩Ng| |Np∪Ng| if |Np ∪ Ng| > 0 0 otherwise Use n = 2; if tokens are insufficient, set n = 1. D Other train results We also present the metric changes during the training process on the HiTab dataset. As shown in Figure 6, the model trained with our caref...
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[15]
</think> tags based on the table
To answer the question, you should first think step-by-step by placing your reasoning trace inside <think> ... </think> tags based on the table
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[16]
</think> , ONLY annotate a table cell with <|cell content |><|column name |> WHEN you are actually using that value in reasoning
In your step-by-step reasoning inside <think> ... </think> , ONLY annotate a table cell with <|cell content |><|column name |> WHEN you are actually using that value in reasoning. Do NOT include or list all table cells—only those you are directly referencing
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[17]
</answer> to enclose the final answer
Please use <answer> ... </answer> to enclose the final answer. The answer should be short and simple. It can be a number, a word, or a phrase in the table, but not a full sentence. It must be consistent with the question
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[18]
</think> and <answer>
You must include <think> ... </think> and <answer> ... </answer> tags in your response. # Task Table: table Question: question demonstrating the model’s ability to pinpoint and leverage critical table entries. Table 19 highlights a case from the TAT-QA benchmark, showcasing Re...
2023
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[20]
The question states that Braden Gellenthien won the men’s competition in 2006
2006
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[21]
Looking at the table, I can verify that <|Braden Gellenthien (USA) |><|Men’s Individual |> indeed won in <|2006|><|Year|>
2006
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[22]
The question asks who won the next year after 2006, which would be 2007
2006
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[23]
The years jump from 2006 to 2008
Looking at the table, I don’t see any entry for 2007. The years jump from 2006 to 2008
2007
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[24]
the next year
In <|2008|><|Year|>, I can see that <|Jedd Greschock (USA) |><|Men’s Individual |> won the men’s individual competition. So the next winner after Braden Gellenthien that appears in the table is Jedd Greschock in 2008. However, there is no data for 2007 in the table. Wait, I ne...
2008
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[226]
| | 1998 | Taoyuan | John Blaschke (USA) | Shih Ya-Ping (TPE) | United States | Chinese Taipei | None | [227] | | 2000 | Madrid | Tsai Sung-Pin (TPE) | Jamie van Natta (USA) | United States | United States | None | [228] | | 2002 | Chonburi | Adam Wheatcroft (USA) | Mary Zorn ...
1998
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[230]
| | 2006 | Viniˇcn´e | Braden Gellenthien (USA) | Amandine Bouillot (FRA) | United States | France | United States | [231] | | 2008 | Tainan | Jedd Greschock (USA) | Erika Anschutz (USA) | Mexico | South Korea | United States | [232] | | 2010 | Shenzhen | Adam Gallant (USA) | ...
2006
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[1970]
But wait, the El Salvador entry has a question mark
So yes, that’s 10. But wait, the El Salvador entry has a question mark. Should that be counted? The original question says ”how many people entered office in 1970” based on the table. The table lists some entries with a question mark. For example, El Salvador’s entry is ”1970 ...
1970
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[2018]
To calculate the percentage change, the formula is [(New Value - Old Value)/Old Value] * 100
So the 2018 value is 5.7 million pounds, and the 2019 value is 6.2 million. To calculate the percentage change, the formula is [(New Value - Old Value)/Old Value] * 100. Here, the new value is 2019’s 6.2, and the old value is 2018’s 5.7. Subtracting 5.7 from 6.2 gives 0.5. The...
2018
Reviewed August 7, 2026 · model on record in the stance chip above.
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