Jakeb Chouinard. Neurally-plausible radial basis kernels using distributed fourier embeddings. Technical Report, Centre for Theoretical Neuroscience, Waterloo, ON, 05 2026. URL: https://arxiv.org/abs/2605.08458, doi:https://doi.org/10.48550/arXiv.2605.08458.
@techreport{chouinard2026a,
title = {Neurally-plausible radial basis kernels using distributed Fourier embeddings},
year = {2026},
month = {05},
institution = {Centre for Theoretical Neuroscience},
address = {Waterloo, ON},
abstract = {Coherent, continuous spatial representations are critical for synthesizing physical and perceptual phenomena into a single representational space. Radial basis kernels provide a path forward for this type of distributed representation. In this work, we aim to characterize and analyze common radial basis kernels realizable in the neurally-plausible framework of spatial semantic pointers. Further, we analyze previous radial basis kernel work based on grid cell-like representations and demonstrate that such representations are both capable of and optimal for realizing radial basis kernels.},
issn = {CTN-TR-20260508-001},
author = {Jakeb Chouinard},
pdf = {/files/publications/chouinard2026a.pdf},
url = {https://arxiv.org/abs/2605.08458},
doi = {https://doi.org/10.48550/arXiv.2605.08458}
}