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methods / Causal Validation / Causal interventions (steering) / Activation Steering (Addition) / Orthogonalized Multi-Direction Superposition Steering (GEMS)

Orthogonalized Multi-Direction Superposition Steering (GEMS)

Techniqueadvanced

Combines several simultaneously-injected steering directions by first Gram-Schmidt-orthogonalizing them against the current residual-stream update, then recombining as a norm-constrained weighted sum (so the perturbation's magnitude matches the local residual-stream update rather than growing across layers), restricted to a targeted attention-output pathway — addressing a measured collapse mode where naive additive multi-direction steering (a) accumulates norm out of the training distribution and (b) suffers mutual interference proportional to how non-orthogonal the injected directions are.

Used in (1 observation)

structure: Linear Direction · models: Qwen3.5-4B, Qwen3.5-4B-Instruct, Llama-3.2-3B-Instruct, Qwen3.6-27B-Instruct, Gemma-4-31B-Instruct · paper: GEMS: Geometric Constraints Enable Multi-Semantic Superposition in LLMs