framework
active
framework:linear-map-a-bLinear Map (a ⊸ b)
Semantic domain for linear transformations; denotation as actual linear function; Category instance generated from homomorphism principle.
Neighborhood — ranked by edge-count
Concepts (1)
concept
- Category TheoryimplementsFundamental mathematical tool; poset-as-category provides simple instances of categorical notions like products and adjunctions.
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.
- Alignment map ϕ(h)=W_orth*h using orthogonal matrix; assumes linear representation hypothesis
- The idea that features are encoded as directions in activation space.
- A straight vector in activation space, traditionally used for concept manipulation; claimed to be insufficient when true concept geometry is curved.
- A domain-specific language for linear transformations, specified by denotation as linear maps (a ⊸ b).
- The sequential, continuous order of text, often challenged by diagrammatic branching.
- The central object of study — the idea that a concept like truth is encoded as a direction in the LLM's latent space
- Simple linear classifiers trained on model activations used as the probing technique within the introduced method.