framework
active
framework:linear-map-a-b

Linear 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 Theory
    implements
    Fundamental mathematical tool; poset-as-category provides simple instances of categorical notions like products and adjunctions.

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

Entities 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.
  • linear directionconcept0.795
    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).
  • linearityconcept0.786
    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
  • Linear Probemethod0.771
    Simple linear classifiers trained on model activations used as the probing technique within the introduced method.