Operator Dynamics in Transformer Residual Streams: A Unified Framework for Interpretability, Adversarial Detection, Causal Control, and Topological Model Fingerprinting

Key Points

• This research aims to establish a unified framework for understanding the role of residual streams in transformers.
• Analyzed operator dynamics in transformer residual streams
• Examined inter-layer differences across multiple models
• Validated findings across various transformer architectures with diverse parameter sizes.
• Demonstrated a link between residual stream operators and model interpretability
• Validated the framework across four distinct transformer models
• Highlighted empirical contributions to adversarial detection and causal control.

Abstract