Transformers without positional signals cannot solve order-sensitive tasks; optimal encodings are approximated by classical MDS on Hellinger distance, with ALiBi achieving lower stress than sinusoidal or RoPE and effective rank at most n-1.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cs.LG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On the Geometry of Positional Encodings in Transformers
Transformers without positional signals cannot solve order-sensitive tasks; optimal encodings are approximated by classical MDS on Hellinger distance, with ALiBi achieving lower stress than sinusoidal or RoPE and effective rank at most n-1.