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1 displays the raw posterior mean-square ๐œ‡๐‘˜(๐‘ฅ)2, the scale-invariant signal fraction ๐‘€ 2 ๐‘˜ (๐‘‡ ), and the posterior log-variance log ๐œŽ๐‘˜(๐‘ฅ)2 on a com- mon scan axis

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Posterior Collapse as Automatic Spectral Pruning

cs.LG ยท 2026-05-21 ยท unverdicted ยท novelty 6.0

Posterior collapse in ฮฒ-VAEs is derived as automatic spectral pruning via Landau stability analysis, with collapse thresholds matching normalized PCA spectra in the linear Gaussian case and tested on WorldClim data.

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  • Posterior Collapse as Automatic Spectral Pruning cs.LG ยท 2026-05-21 ยท unverdicted ยท none ยท ref 1

    Posterior collapse in ฮฒ-VAEs is derived as automatic spectral pruning via Landau stability analysis, with collapse thresholds matching normalized PCA spectra in the linear Gaussian case and tested on WorldClim data.