And the whole lattice becomes homogeneous

When it comes to the case with high temperature limit, all M micro-states are same energy, which is calleddegeneracywith degree M

1 Pith paper cite this work. Polarity classification is still indexing.

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cs.LG · 2026-05-11 · unverdicted · novelty 6.0

ABLE learns a spatially adaptive Parseval frame from data via an ancillary density to replace fixed bases in spectral neural operators for PDEs.

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Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs cs.LG · 2026-05-11 · unverdicted · none · ref 54
ABLE learns a spatially adaptive Parseval frame from data via an ancillary density to replace fixed bases in spectral neural operators for PDEs.