arXiv AI By Oriol Juan Sabater, Alex Ferrando de las Morenas, Pau Rodr\'iguez, Xavier Suau

Beyond the Readout: A Latent Numerical Frame Shared Across Modality and Operation

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The study investigates whether a multimodal model like Gemma4-12B-it uses a shared internal concept of numbers across different modalities and operations. By applying causal interventions to the model’s residual stream, the authors identify a small subspace where swapping coordinates changes the model’s arithmetic answer. They find that while the subspaces for text and image are not identical, a single rotation and rescaling aligns them, revealing a shared geometric structure that encodes numbers in hidden directions used to generate multi‑digit outputs over time.

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