An Integrable Token Mixing Layer from the Generalized Yang Baxter Equation
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Computer Science > Machine Learning
Title:An Integrable Token Mixing Layer from the Generalized Yang Baxter Equation
Abstract:The YB Mixer is a sequence token mixing layer derived from free fermion and generalized Yang Baxter structures. It applies a core principle from integrable systems where a local algebraic constraint guarantees global computational stability. By using the Ising exchange algebra the mixer creates a free fermionic structure that acts as an exactly norm preserving orthogonal map. This algebra also produces commuting transfer matrices which allow inference to be order free and adaptable to any variable budget. To ensure the model can generalize to longer sequence lengths it uses a spectral circulant generator. This generator maintains the crucial orthogonal and commuting properties of the system. The result is a highly stable and mathematically grounded architecture for sequence processing.
| Subjects: | Machine Learning (cs.LG) |
| Cite as: | arXiv:2606.15085 [cs.LG] |
| (or arXiv:2606.15085v1 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2606.15085
arXiv-issued DOI via DataCite (pending registration)
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Submission history
From: Snigdha Chandan Khilar [view email][v1] Sat, 13 Jun 2026 03:35:44 UTC (160 KB)
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