A meta-theorem reduces establishing identifiability guarantees for concept extraction methods to the problem of characterizing the intersection of two sets.
By construction, ϕ0 and ϕ′ 0 have matching images, so τ0 := (ϕ′ 0)−1 ◦ϕ 0 is a well-defined function from C0 to C′ 0, and τ0 is injective
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A Unifying Framework for Unsupervised Concept Extraction
A meta-theorem reduces establishing identifiability guarantees for concept extraction methods to the problem of characterizing the intersection of two sets.