Causal Geometry

Chvykov and Hoel's geometric extension of causal emergence to continuous systems using Fisher information.

Neighborhood — ranked by edge-count

thinker

Erik Hoel
introduces
Author of 'The Overfitted Brain'; Johnson references Hoel's framework of energy, information, and uncertainty as equivalent conserved quantities.
Pavel Chvykov
introduces
Co-developed causal geometry with Erik Hoel.

concept

Effective Information (EI)
implements
Core measure of causal effect in Hoel's theory; mutual information between uniform input and output distributions.

artifact

Yuan 2023 Emergence and Causality in Complex Systems: A Survey
mentions
This review paper surveys quantitative theories of causal emergence and their connections to machine learning.

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.

Causal Mechanismconcept0.818
Function determining the value of a variable based on its causal parents in an acyclic causal model.
Circular causalityconcept0.814
The reciprocal causal coupling between internal/external states via sensory/active states.
Causal Invarianceconcept0.805
Property that causal mechanisms remain stable across environments; desirable for OOD.
Causal Tracingconcept0.803
Mechanistic interpretability technique for locating factual associations, mentioned as future work direction.
causal regularitiesconcept0.801
The structural-realist grounding for self-evidencing after the bounded self is relinquished.
Geometryconcept0.800
The actual shapes and spatial relationships of buildings, essential to living structure.
Causal Mediationconcept0.800
Whether an internal direction causally controls a target behavior, verified by intervention success
causal shaping of behavior by representation geometryconcept0.798
Central question: does geometry in activation space causally determine behavior?