Why Directly Learning Periodic Trajectories Can Fail

arXiv:2609.32254 · cs.AI, cs.NA, math.CA, math.NA · Submitted 2026-09-26 · Read on arXiv

cs.AI, cs.NA, math.CA, math.NA

Submitted: 2026-09-26

Updated: 2026-09-26

Terminology

• Ablation — 15× in this paper · explained in 1 episode
• Alignment — 14× in this paper · explained in 1 episode
• Adam — 5× in this paper · explained in 2 episodes
• Failure Modes — 5× in this paper · explained in 3 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Ablation Studies — 2× in this paper · explained in 1 episode
• Limit Cycles — 2× in this paper · explained in 2 episodes
• Uncertainty Quantification — 2× in this paper · explained in 8 episodes
• Ablation study — 1× in this paper · explained in 1 episode
• Activation Function — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Generative Model — 1× in this paper · explained in 2 episodes
• Generative Models — 1× in this paper · explained in 3 episodes
• Kernel decomposition — 1× in this paper · explained in 2 episodes
• Time Series Forecasting — 1× in this paper · explained in 3 episodes

Sources

• Fourier Neural Operator for Parametric Partial Differential Equations
• A neural network kernel decomposition for learning multiple steady states in parameterized dynamical systems

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