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FRISM: Fine-Grained Reasoning Injection via Subspace-Level Model Merging for Vision–Language Models

ICML 2026 · Vision-language and multimodal › Multimodal LLMs · approach: Chain-of-thought multimodal reasoning · 0 citations (OpenAlex)

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Proposes FRISM, which merges an LRM into a VLM at SVD-subspace granularity, learning per-subspace sigmoid gates with a label-free KL self-distillation plus spectral-magnitude injection loss, improving reasoning while largely preserving perception.

Problem

Merging VLMs with LRMs to add reasoning usually trades off visual perception, because existing merging methods act at coarse layer or model level.

Approach

Decompose the LRM task vector per layer via SVD, freeze the singular vectors and values, and learn a sigmoid gate per singular subspace, trained with a KL distillation loss on unlabeled VQA images (VizWiz) plus a term that maximizes the injected spectral magnitude.

Key results

Surprising findings

Limitations

Experimental setup

Datasets: VizWiz

Benchmarks: MathVista MathVision MathVerse MMMU R1-OneVision MMStar TextVQA POPE SeedBench OCRBench MME ChartQA

Metrics: accuracy average normalized score (Avg-R, Avg-V)

Baselines: Base VLM Task Arithmetic Ties-Merging DARE IP-Merging DRIFT OpenVLThinker-7B VLAA-Thinker

Builds on: Task Arithmetic TIES-Merging DARE IP-Merging FRANK

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