Multiscale POD of Transformer Attention Fields: Scale-Selective Analysis via Morlet Scalogram
We introduce scale-selective Proper Orthogonal Decomposition (POD) for transformer attention fields, inspired by the use of POD for extracting energetically dominant modes from turbulent flow ensembles. The Morlet continuous wavelet transform identifies dominant temporal scales in the attention lag structure across a document ensemble; POD then extracts the energetically dominant modes at each scale from the ensemble of attention fields. The resulting modes reveal layer-dependent scale organisation, with early layers emphasising fine scales and later layers shifting toward coarser scales. We define a spectral concentration index from the POD eigenvalue decay rate and show empirically that...
| Authors | Athanasios Zeris |
|---|---|
| Primary category | physics.flu-dyn |
| Published | 4 June 2026 |
| Last updated at source | 4 June 2026 |
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