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Preprint Aug 2026

$\beta$-VAEs as Effective Theories: Tolerance-Dependent Dimension

It is found that nonlinear interactions shift and broaden collapse onsets, so thresholds no longer coincide exactly with utilities, but the common ordering is preserved over the resolved ranks, so the spectral cutoff still acts as a utility cutoff and the effective-description logic carries through.

J. Hirn · 0 citations

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