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Apple Researchers Introduce Normalizing Trajectory Models for Exact-Likelihood Few-Step Generation

·2026.10.08 09:00

Key point

Apple researchers introduced Normalizing Trajectory Models (NTM), a framework that matches strong baselines in four sampling steps while retaining exact likelihood over the generative trajectory.

Details

Apple researchers have introduced Normalizing Trajectory Models (NTM), a framework designed to address the breakdown of Gaussian denoising assumptions in compressed generation steps. Unlike existing few-step methods that rely on distillation or adversarial objectives and sacrifice the likelihood framework, NTM models each reverse step as an expressive conditional normalizing flow with exact likelihood training.

Architecture and Training

NTM combines shallow invertible blocks within each step with a deep parallel predictor across the trajectory. This end-to-end network can be trained from scratch or initialized from pretrained flow-matching models. The architecture's exact trajectory likelihood enables self-distillation, where a lightweight denoiser trained on the model's own induced score function produces high-quality samples.

Performance

On text-to-image benchmarks, NTM matches or outperforms strong image generation baselines in just four sampling steps. This approach uniquely retains exact likelihood over the generative trajectory, offering a distinct advantage over methods that abandon this probabilistic framework for speed.

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