MathVis-Fine: Aligning Visual Supervision with Necessity via Progressive Dependency-Guided Training for Multimodal Mathematical Reasoning
Pith reviewed 2026-06-27 01:20 UTC · model grok-4.3
The pith
A two-stage training paradigm uses sample-specific visual dependency ratings to balance answer correctness and visual grounding rewards in multimodal math reasoning.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The MathVis-Fine framework first augments mathematical problems with fine-grained visual annotations and visual dependency ratings. It then applies a two-stage progressive visual enhancement training paradigm that balances answer correctness rewards and visual grounding rewards according to each sample's intrinsic visual dependency level, thereby mitigating reward bias and improving supervision accuracy for multimodal mathematical reasoning.
What carries the argument
The two-stage progressive visual enhancement training paradigm that adjusts the balance between answer correctness rewards and visual grounding rewards according to per-sample visual dependency ratings.
Load-bearing premise
Visual dependency ratings can be reliably and accurately assigned to samples, and balancing the two reward types according to those ratings will reduce bias without creating new training inaccuracies.
What would settle it
A controlled comparison in which models trained with uniform visual rewards across all samples reach equal or higher accuracy on multimodal math benchmarks than models trained with dependency-guided reward balancing.
Figures
read the original abstract
Chain-of-Thought (CoT) reasoning has extended from purely linguistic domains to multimodal scenarios; however, existing approaches often treat visual inputs as homogeneous or auxiliary signals, failing to capture the intricate and sample-specific dependencies between text and images in mathematical problem-solving. This gives rise to two core issues: first, the supervisory signals for visual content are generalized and coarse-grained, lacking adaptation to the actual necessity of visual information in each sample; second, training feedback becomes inaccurate when visual rewards are uniformly applied without distinguishing the complementary relationships among inputs. These limitations hinder models from achieving precise multimodal reasoning. In this work, we propose a framework for modeling fine-grained visual dependencies in mathematical reasoning. We first construct the MathVis-Fine dataset, augmenting fine-grained visual annotations with visual dependency ratings. Building upon this dataset, we introduce a two-stage progressive visual enhancement training paradigm that balances answer correctness rewards and visual grounding rewards according to the intrinsic visual dependency level of each sample, thereby mitigating reward bias and improving supervision accuracy. Extensive experiments demonstrate that the MathVis-Fine framework effectively enhances visual perception progressively based on visual dependency, offering a more precise training framework for multimodal mathematical reasoning. We will release the dataset upon acceptance.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper claims that existing multimodal CoT methods apply coarse, uniform visual supervision that fails to account for sample-specific text-image dependencies in mathematical reasoning, leading to inaccurate feedback. To address this, the authors construct the MathVis-Fine dataset by augmenting fine-grained visual annotations with visual dependency ratings. They then introduce a two-stage progressive visual enhancement training paradigm that balances answer correctness rewards against visual grounding rewards according to each sample's intrinsic visual dependency level, thereby mitigating reward bias. Extensive experiments are stated to demonstrate that the framework enhances visual perception progressively based on these ratings, providing a more precise training approach for multimodal mathematical reasoning. The dataset will be released upon acceptance.
Significance. If the central mechanism holds after validation, the work could advance multimodal reasoning by making visual supervision adaptive to necessity rather than uniform, potentially reducing bias in reward signals and improving precision on problems where visual information varies in importance. The dataset release would be a positive contribution for the community. However, the significance is currently limited by the absence of evidence that the dependency ratings are reliable or that the balancing specifically drives gains beyond the progressive training structure itself.
major comments (1)
- [Dataset Construction] Dataset Construction: The manuscript provides no description of how visual dependency ratings are assigned to samples, nor any validation such as inter-annotator agreement, correlation with visual ablation performance, or an ablation replacing ratings with uniform/random values. This is load-bearing for the central claim that reward balancing per rating mitigates bias specifically via dependency guidance; without these checks, observed improvements could arise from the two-stage paradigm or increased dataset size rather than the proposed mechanism.
minor comments (1)
- [Abstract] Abstract: The claim of 'extensive experiments' is made without any quantitative results, error bars, dataset statistics, or baseline comparisons being referenced, making it difficult to assess the strength of the reported improvements.
Simulated Author's Rebuttal
We thank the referee for the constructive feedback. We address the single major comment below and will incorporate the requested details and validations into the revised manuscript.
read point-by-point responses
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Referee: [Dataset Construction] Dataset Construction: The manuscript provides no description of how visual dependency ratings are assigned to samples, nor any validation such as inter-annotator agreement, correlation with visual ablation performance, or an ablation replacing ratings with uniform/random values. This is load-bearing for the central claim that reward balancing per rating mitigates bias specifically via dependency guidance; without these checks, observed improvements could arise from the two-stage paradigm or increased dataset size rather than the proposed mechanism.
Authors: We agree that the current manuscript lacks sufficient detail on the visual dependency rating assignment process and supporting validations, which weakens the central claim. In the revised version we will expand the Dataset Construction section to describe: (1) the annotation guidelines and criteria used to assign ratings (e.g., explicit rubrics distinguishing samples where visual information is necessary versus supplementary), (2) inter-annotator agreement statistics, (3) correlation between ratings and performance degradation under visual ablation, and (4) an ablation that replaces the learned dependency ratings with uniform or random values while keeping the two-stage training structure fixed. These additions will directly test whether the observed gains are attributable to the dependency-guided reward balancing. revision: yes
Circularity Check
No significant circularity; framework is self-contained
full rationale
The paper constructs the MathVis-Fine dataset externally by augmenting annotations with visual dependency ratings and then applies a two-stage training procedure that balances rewards according to those ratings. No equations, fitted parameters, or derivations are presented that reduce the claimed performance gains to the inputs by construction. No self-citations are invoked as load-bearing premises, and the central claims rest on the independent dataset construction and training paradigm rather than renaming or self-referential definitions. This is the normal case of an externally grounded proposal with no circular reduction.
Axiom & Free-Parameter Ledger
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discussion (0)
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