Morlet Wavelet Framework

Beyond Sinusoids: A Morlet Wavelet Framework for Transformer Positional Encoding

arXiv:2606.01258v1 Announce Type: new Abstract: Standard positional encodings for transformers - sinusoidal and rotary (RoPE) - treat every position as equally local: they encode where a token is, but not how far its positional influence should extend. We propose that the Morlet wavelet, which simultaneously minimises uncertainty in position and frequency, is the natural basis for positional encoding, and introduce Morlet Positional Encoding (MoPE): each embedding dimension learns its own...