A standard Transformer with O(ε^{-d0/α}) blocks can approximate any bounded d0-dimensional Hölder function of smoothness α to accuracy ε, but at least Ω(ε^{-d0/(4α)}) blocks are required.
Convergence analysis of flow matching in latent space with transformers
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A conditional flow matching model generates realistic safety-critical traffic scenarios by turning nominal scenes into dangerous rollouts using combined simulation and real data.
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Approximation Error Upper and Lower Bounds for H\"{o}lder Class with Transformers
A standard Transformer with O(ε^{-d0/α}) blocks can approximate any bounded d0-dimensional Hölder function of smoothness α to accuracy ε, but at least Ω(ε^{-d0/(4α)}) blocks are required.
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Conditional Flow-VAE for Safety-Critical Traffic Scenario Generation
A conditional flow matching model generates realistic safety-critical traffic scenarios by turning nominal scenes into dangerous rollouts using combined simulation and real data.