Abstract:Periodic signals are critical for representing physical and perceptual phenomena. Scalar, real angular measures, e.g., radians and degrees, result in difficulty processing and distinguishing nearby angles, especially when their absolute difference exceeds pi. We can avoid this problem by using real-valued, periodic embeddings in high-dimensional space. These representations also allow us to control the nature of their dot product similarities, allowing us to construct a variety of different kernel shapes. In this work, we aim of highlight how these representations can be constructed and focus on the formalization of Dirichlet and periodic Gaussian kernels using the neurally-plausible representation scheme of Spatial Semantic Pointers.
| Subjects: | Machine Learning (cs.LG); Neurons and Cognition (q-bio.NC) |
| Report number: | CTN-TR-20260508-002 |
| Cite as: | arXiv:2605.10818 [cs.LG] |
| (or arXiv:2605.10818v1 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.10818 arXiv-issued DOI via DataCite (pending registration) |
From: Jakeb Chouinard [view email]
[v1]
Mon, 11 May 2026 16:35:32 UTC (40 KB)
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