claim
active
claim:the-residual-stream-has-a-deeply-linear-structure-enabling-virtual-weights-and-path-expansion-analysisThe residual stream has a deeply linear structure, enabling virtual weights and path expansion analysis
Architectural observation enabling the entire mathematical framework; the residual stream is purely a sum of linear projections
Neighborhood — ranked by edge-count
Concepts (2)
concept
- Path Expansion TricksupportsThe mathematical trick of expanding a product of layer terms into a sum of end-to-end path terms, enabling independent analysis of each term
- Virtual WeightssupportsImplicit weights directly connecting any pair of layers computed by multiplying output weights of one layer with input weights of another through the residual stream
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Proposed pathway flowing through layers at each position; calculates K/V values that feed horizontal information flow.
- The phenomenon where the residual stream communicates many more features than its dimensionality by encoding information across overlapping subspaces
- The middle layer residual stream features are causally implicated in multi-step reasoning.claim0.776Features for Kobe Bryant, California, Lakers participate in computing the capital answer.
- Core activation intervention: add scaled vector to residual stream at layer l during completion
- Interpretive synthesis of DIM and cone intervention successes
- Mechanistic evidence that network actively attenuates injected perturbations, explaining late-layer introspection failure
- The specific neural network layer from which activations are extracted for probe construction and SAE training in the target models
- The finite dimensional capacity of the residual stream for storing and communicating information between layers; conceptualized as being under high demand