Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics
Nonlinear Photonic Systems
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- An Integrable Token Mixing Layer from the Generalized Yang Baxter Equation
Snigdha Chandan Khilar · 16. Juni 2026
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 fr…
- Learning the Intrinsic Dimensionality of Fermi-Pasta-Ulam-Tsingou Trajectories: A Nonlinear Approach using a Deep Autoencoder Model
Gionni Marchetti · 28. Januar 2026
We address the intrinsic dimensionality (ID) of high-dimensional trajectories, comprising $n_s = 4\,000\,000$ data points, of the Fermi-Pasta-Ulam-Tsingou (FPUT) $\beta$ model with $N = 32$ oscillators. To this end, a deep autoencoder (DAE) model is employed to infer the ID in the weakly nonlinear r…
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