REVIEW 4 major objections 4 minor 39 references
Beyond Perception: Evaluating Abstract Visual Reasoning through Multi-Stage Task
T0 review · 4 major / 4 minor · reviewed 2026-08-07 · deepseek-v4-flash
Pith's one-line read A five-stage RAVEN benchmark shows MLLMs master perception but flounder at rule extraction.
desk verdict The benchmark is worth having, but the new metric is not ready as specified. 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 Logical Chain, a handcrafted, corpus-level dependency graph with five stages that mimic a bottom-up human strategy: perceive a single panel, compare two panels, deduce the rule from one row, confirm it with two rows, then solve the original 3x3 puzzle. Each edge $(j \to t)$ means node $j$'s answer is reformatted and prepended as prior information $H_t$ to node $t$'s question. The metric carrying the argument is MSEval, which turns each node's logits into a per-node score $p^{(i)}_j / \varepsilon^{(i)}_j$ and then averages these scores across the dependency set with NCMI weights, computed by perturbing a node's answer set and measuring the entropy change of the current node's output. This is what lets the benchmark credit a model for correct intermediate reasoning even when the final answer is wrong, and penalize a model that reaches the right final answer without consistent intermediate steps.
What would settle it
Identify the subset of Logical-Chain instances where the authors' own rule templates imply the 1R or 2R stage is under-specified (e.g., rules involving three distinct values or permutations), then re-evaluate the same models with an additional sentence supplying the missing second-row values. If accuracy and MSEval on those instances jump from near-random to near-human levels, the paper's conclusion that MLLMs specifically fail at rule detection would need to be revised toward 'MLLMs fail at rule detection when the benchmark withholds necessary information.'
Extended reading notes
Core claim
MultiStAR decomposes RAVEN puzzles into a fixed logical chain of subproblems—1P (one-panel perception), 2P (two-panel comparison), 1R (one-row rule deduction), 2R (two-row rule deduction), and Final—so that each stage's question is answerable in principle from the image plus the answers of its dependent stages. MSEval scores stage $t$ as $\mathrm{MSEval}^{(i)}_t = \sum_{j \in D_t \cup \{t\}} w^{(i)}_j \cdot p^{(i)}_j / \varepsilon^{(i)}_j$, where $p^{(i)}_j$ is the softmax probability the model assigns to the ground-truth answer at node $j$, $\varepsilon^{(i)}_j = 1/|A^{(i)}_j|$ is the random-chance rate, and $w^{(i)}_j$ is the normalized conditional mutual information between node $j$'s choices and the model's output at the current node. The empirical claim is that among 17 evaluated MLLMs, one-panel perception accuracy is strong (GPT-4o 88.1%, Gemini-1.5-pro 83.2%), while accuracy on one-row rule deduction, two-row rule deduction, and the final RAVEN puzzle drops to roughly random levels (best models: 46.9%, 37.8%, 12.1%, respectively). When prior information is supplied, nearly all models improve on intermediate stages in both accuracy and MSEval, but the final-stage answer stays near random for most, showing that current MLLMs can consume stepwise hints yet fail to chain them into a full analogy solution.
Load-bearing premise
The logical chain is fixed at the corpus level, so the framework assumes each stage's question plus its prior answers always provides enough information for the next stage; the authors themselves note in the Limitation section that for some one-row rules, such as 'three different numbers,' the second-row information is also needed, meaning stage scores can reflect missing information rather than pure reasoning ability.
Editorial extensions
If this is right
- MSEval-based scores give a diagnosis rather than a single number: high MSEval with a wrong final answer indicates partial reasoning, while high final accuracy with low MSEval (as observed for Qwen2-VL-72B) flags probable pattern memorization.
- Providing ground-truth intermediate answers lifts 1R and 2R accuracy sharply (e.g., GPT-4o from 34.7% to 66.0% at 1R, and 28.9% to 93.8% at 2R), suggesting stepwise supervision is a concrete route to improving abstract reasoning in MLLMs.
- The metric is defined for any chained multiple-choice task and requires only per-stage logits, so it can be applied to other multi-step reasoning domains such as mathematics and science, as the authors note in the conclusion.
- Attribute-level results identify number and position as relatively easy for current models, while color and size rules remain hard, giving a focused target for future training data and model design.
Reading between the lines
- If MSEval became a standard reporting metric, leaderboards would reorder relative to accuracy-based rankings: models that guess the final answer would be downgraded, while models that reason faithfully but slip at the last step would be rewarded, changing what training optimizes for.
- The paper's contamination analysis suggests a practical diagnostic: on RAVEN-derived benchmarks, a model showing high final-stage accuracy with near-random intermediate accuracy is likely memorizing puzzle patterns, so the logical chain itself could serve as a contamination detector.
- Because the chain is corpus-level and fixed, a natural extension is instance-level chain construction driven by the ground-truth XML rules, which would remove under-specification and could also generate chains of varying length to measure reasoning depth.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces MultiStAR, a multi-stage abstract visual reasoning benchmark derived from RAVEN, with two subtasks: Direct Answer, which isolates perception, comparison, and rule-deduction stages, and Logical Chain, which connects these stages into a fixed dependency structure ending at the original RAVEN puzzle. The authors also propose MSEval, a logit-based metric intended to credit correct intermediate stages alongside the final answer, and evaluate 17 multimodal LLMs plus human participants. The empirical findings are that models often perform well on single-panel perception questions but degrade sharply on rule deduction, and that providing prior-stage information helps models on intermediate stages more than on the final RAVEN puzzle.
Significance. If the metric is properly formalized and the weighting procedure made reproducible, MultiStAR is a useful diagnostic resource: it shifts evaluation from end-accuracy to the locus of failure in abstract visual reasoning, and it ships with external ground truth from RAVEN XML, human verification, human performance norms, and released code and data. The authors are also appropriately cautious about possible RAVEN contamination in two open models. The paper's main methodological contribution, MSEval, currently has formal and reproducibility gaps that prevent the reported numbers from being fully trusted, but these appear fixable within the manuscript's scope.
major comments (4)
- [§3.3, Eqs. (4)–(9)] The definition of MSEval is internally inconsistent. Equation (4) is labeled 'Joint Prob' and includes a 'Norm' operator, but its right-hand side is an unnormalized product of exp(p_j / ε_j), which is not a joint probability and can exceed 1. Equations (8)–(9) show that the quantity actually reported is the weighted sum Σ_j NCMI(i,j,t)·p_j/ε_j, i.e., a weighted average of per-node calibrated softmax values, not a joint probability; taking the logarithm of a weighted geometric mean does not turn it into a probability. The same 'joint probability' language appears in the Introduction and in Section 3.3. Because Table 3 and the qualitative analysis are built on this quantity, the formal definition must be corrected: either define MSEval straightforwardly as this weighted sum and remove the joint-probability claim, or provide a properly normalized joint probability and reconcile it with the equations actually used.
- [§3.3, Eq. (6) and Algorithm 1] The NCMI weighting scheme is not reproducible as written. The instruction to 'Alter A_j to generate perturbed outputs A_{j→t}' does not specify how answer options are altered, how many perturbed option sets are produced, whether the model is re-queried for each perturbation, or how the entropies H(·) in Eq. (6) are estimated; the conditioning notation D^{(i),−j}_t is also undefined. Because every MSEval score in Table 3 is multiplied by weights obtained from this procedure, an unreproducible weighting scheme leaves the main metric unsupported. In addition, since CMI/NCMI is computed from the same model being scored, the weights are model-relative: the same chain can receive different weights for different models, so cross-model MSEval comparisons in Table 3 conflate reasoning accuracy with sensitivity to the perturbation procedure. Please specify the perturbation distribution and entropy estimators exactly, and provide code or a synthetic verification.
- [§8, Limitation and §3.1.2] The paper acknowledges that 'prior information is insufficient for the current stage' in some cases, giving the example of a one-row rule ('Three Different Numbers') that requires second-row information. This is not merely a design limitation; it means stage-wise accuracy and MSEval scores in Table 3 can conflate model reasoning with missing information, particularly at the 1R and 2R stages. Please quantify how often this occurs, filter or augment such instances, and state explicitly how this affects the claim that prior information helps models on intermediate stages.
- [Tables 2 and 3] All model accuracy and MSEval numbers are reported as single runs without confidence intervals, significance tests, or multiple decoding seeds. Given that the Logical Chain task has only 3.92K QA pairs across five stages (roughly 700–800 per stage per model), differences of a few points in Table 2 (e.g., GPT-4o vs. Gemini at 1R: 40.0 vs. 46.9) and the qualitative rankings in Table 3 may be within noise. Please add variance estimates (e.g., bootstrap CIs or multiple random seeds) or at least state the sampling procedure for the reported subsets.
minor comments (4)
- [Appendix A.7] The text says 'Tables 15 and 16 present the percentage increase,' but the referenced items are Figures 15 and 16; please fix the cross-reference or renumber the floats.
- [Appendix Table 17] The MSEval rows for Intern2-VL-8B under the Vanilla condition are identical to the Idefics2-8B values (2.02, 1.48, 1.51, 1.51, 1.44), which conflicts with Table 3 where Intern-VL2-8B under prior information has MSEval values (1.75, 1.38, 1.30, 1.18, 1.26). Please verify and correct the appendix entries.
- [§3.3, Eqs. (5)–(6)] The symbol A_j is overloaded: it denotes the set of answer options in Eq. (5) and a random variable in Eq. (6). Use A_j for the option set and a different symbol, such as O_j, for the random variable representing the output at node j.
- [Throughout] Minor typographical issues include 'close-source' for 'closed-source' in several places, 'Gemeni' for 'Gemini' in the Figure 5 caption, and 'V anilla' for 'Vanilla' in Table 6 and Appendix Table 17; these should be corrected in a final pass.
Circularity Check
No circularity: the benchmark's ground truth is external (RAVEN XML), the central empirical finding comes from accuracy, and MSEval, though model-relative in its weighting, is a metric rather than a prediction derived from its own inputs.
full rationale
The paper's derivation chain is self-contained with respect to the claims it makes. MultiStAR's ground truth is taken from RAVEN's XML files, which are external to the authors and to the models being evaluated; the dataset construction uses functional programs and templates independent of model outputs. The central empirical result—that MLLMs perform well on basic perception but decline on rule-deduction stages—is read directly from accuracy tables, not from a fitted or self-referential quantity. MSEval is the only potentially self-referential component: its NCMI weights are computed from the logits of the same model being scored, so the metric is model-relative. However, this is a property of the metric's design, not circularity: the score is still anchored to external ground-truth correctness, and the paper does not use MSEval to derive its central finding; it uses it to illustrate partial success. The Limitation section's acknowledgment that the logical chain can under-specify stages is a benchmark limitation, not a circular step. The only self-citations are illustrative and non-load-bearing, and the comparison to MARVEL cites a different research group. No equation in the paper reduces a predicted quantity to its input by construction, so no circular step is present.
Assumptions & free parameters
assumptions (3)
- domain assumption RAVEN XML files provide complete and correct ground-truth object attributes and rules.
- ad hoc to paper The handcrafted logical chain accurately represents the essential intermediate steps for solving RAVEN puzzles.
- domain assumption Softmax probabilities over answer logits are a meaningful and comparable confidence signal across stages.
Cite this review
Pith. "Pith review of Beyond Perception: Evaluating Abstract Visual Reasoning through Multi-Stage Task." pith.science (2026). https://pith.science/paper/AOLPNEOF
@misc{pith2026250521850,
author = {Pith},
title = {Pith review of: Beyond Perception: Evaluating Abstract Visual Reasoning through Multi-Stage Task},
year = {2026},
howpublished = {\url{https://pith.science/paper/AOLPNEOF}},
note = {Machine review of arXiv:2505.21850}
}
read the original abstract
Current Multimodal Large Language Models (MLLMs) excel in general visual reasoning but remain underexplored in Abstract Visual Reasoning (AVR), which demands higher-order reasoning to identify abstract rules beyond simple perception. Existing AVR benchmarks focus on single-step reasoning, emphasizing the end result but neglecting the multi-stage nature of reasoning process. Past studies found MLLMs struggle with these benchmarks, but it doesn't explain how they fail. To address this gap, we introduce MultiStAR, a Multi-Stage AVR benchmark, based on RAVEN, designed to assess reasoning across varying levels of complexity. Additionally, existing metrics like accuracy only focus on the final outcomes while do not account for the correctness of intermediate steps. Therefore, we propose a novel metric, MSEval, which considers the correctness of intermediate steps in addition to the final outcomes. We conduct comprehensive experiments on MultiStAR using 17 representative close-source and open-source MLLMs. The results reveal that while existing MLLMs perform adequately on basic perception tasks, they continue to face challenges in more complex rule detection stages.
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Reference graph
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Reviewed August 7, 2026 · model on record in the stance chip above.
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