High-dimensional geometry imposes concurrency limits on semantic directions in LLM embeddings via residual interference, with N < exp(c d_eff ε²) for coexistence and σ_int ~ √(k/d_eff) for readout noise.
2.Input:The input for a vocabulary tokenkis a one- hot column vectorx∈R V , where thek-th element is 1 and all other elements are zero
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Semantic Concurrency Limits in Large Language Models
High-dimensional geometry imposes concurrency limits on semantic directions in LLM embeddings via residual interference, with N < exp(c d_eff ε²) for coexistence and σ_int ~ √(k/d_eff) for readout noise.