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RNED: Rotary Number Encoding and Decoding for Medical VLMs

CVPR 2026 · Vision-language and multimodal › Multimodal LLMs · approach: VLM capability analysis

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Proposes RNED, which encodes scalars as rotations of a dedicated [NUM] token embedding and decodes them via score matching, to improve numerical prediction in medical VLMs.

Problem

Medical VLMs perform poorly on quantitative prediction (e.g., lesion sizes, bounding-box coordinates) because LLM tokenizers split numbers into subword units and next-token objectives do not optimize numeric accuracy.

Approach

Encode a number as a norm-preserving multi-frequency rotation (RoPE-inspired) of a single [NUM] token embedding, so ordinal structure is kept and norms are unchanged; decode by searching for the candidate value whose precomputed weighted cosine score best matches the output embedding's score, trained with an added MSE score-matching loss.</natural_idea>

Key results

Surprising findings

Limitations

Experimental setup

Datasets: Opport-CT CT-RATE MedSeq-Bench

Benchmarks: Opport-CT CT-RATE MedSeq-Bench

Metrics: MAE R2 Success rate IoU Acc@5 BLEU-1 ROUGE-L METEOR GREEN

Baselines: xVal Learnable number embedding Abacus embedding p10 p100 Standard tokenization CT-CHAT MedSeq-Grounder Qwen2.5-VL

Builds on: RoPE xVal LLaVA LoRA

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