A Berry-Esseen theorem is proven for local observables in quantum lattice systems with finite correlation length, yielding convergence to normality with error O(N^{-1/2} polylog N).
arXiv preprint arXiv:2602.06234 , year=
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α-TCAV replaces TCAV's hard indicator with a tunable smooth function to create a unified probabilistic framework with lower variance and guidance for parameter choice or Bayes-optimal scoring.
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A Berry-Esseen Bound for Quantum Lattice Systems
A Berry-Esseen theorem is proven for local observables in quantum lattice systems with finite correlation length, yielding convergence to normality with error O(N^{-1/2} polylog N).
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$\alpha$-TCAV: A Unified Framework for Testing with Concept Activation Vectors
α-TCAV replaces TCAV's hard indicator with a tunable smooth function to create a unified probabilistic framework with lower variance and guidance for parameter choice or Bayes-optimal scoring.