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cs.LG2026
Inducing Fourier Geometry: A Smoothness Prior Imposes Approximate Translation Equivariance in Multimodal Stellar Embeddings
Ilay Kamai, Alex M. Bronstein, Hagai B. Perets
Learned representations often contain geometric structure induced by symmetries in the underlying data. We ask whether a known continuous parameter space can instead be used to \em…
cs.LG2026
The Residual Stream's Effective Depth
Barak Gahtan, Ido Galil, Alex M. Bronstein
We introduce \emph{effective depth} ($\Deff$), a scalar diagnostic that treats the layer-wise residual stream of a transformer as a discrete-time process, measures how representati…
cs.LG2026
Invertible Query-Key Coupling Composes with Attention Mechanisms
Barak Gahtan, Alex M. Bronstein
Scaled dot-product attention forms its queries and keys as independent linear projections, so the two never interact before the dot product that scores them. We study coupled query…