A-equivalence class
The set of all distributions that have the same pushforward distribution as a given distribution under a conformal function A, formally characterizing the blind spots of the CTM.
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The paper formalizes the blind spot via the A-equivalence class [P]_A: all distributions that have the same pushforward distribution as P under A form an equivalence class.
For any target distribution T, there exists a unique KL-divergence-nearest element Q* in the A-equivalence class, called the A-secret I-projection, whose density has the explicit expression q*(z) = t(z)p_S(A(z))/t_S(A(z)).
All Facts (2)
The paper formalizes the blind spot via the A-equivalence class [P]_A: all distributions that have the same pushforward distribution as P under A form an equivalence class.
50%UnverifiedFor any target distribution T, there exists a unique KL-divergence-nearest element Q* in the A-equivalence class, called the A-secret I-projection, whose density has the explicit expression q*(z) = t(z)p_S(A(z))/t_S(A(z)).
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