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      "statement": "# Song and colleagues: consistency models support one-step and few-step generation\n\nSong and colleagues learn a map from points on a probability-flow trajectory to its near-data endpoint, introducing consistency distillation and direct consistency training for one-step or few-step image generation.\n\nDiffusion models often need many network evaluations to turn noise into an image. Consistency models learn a shortcut: points along the same ideal probability-flow trajectory should map to the same near-data endpoint. The resulting model can generate with one network evaluation, or repeat denoising and noise injection to trade additional compute for quality. The paper introduces two training routes: distilling a trained diffusion model, and training directly from data with paired noise perturbations. It reports promising results on specified image benchmarks and demonstrates editing without separate task-specific training. One-step generation does not eliminate training costs, endpoint approximation or quality trade-offs. Subsequent work by Song and Dhariwal identifies a limitation in the original direct-training justification and changes its teacher update; those corrections and improved results remain separate contributions.\n\n## Scientific scope\n\nThe target is arXiv 2303.01469v2. Consistency distillation and direct training have different assumptions and costs. The endpoint is smoothed and approximate; the theoretical bounds require the paper’s regularity, boundary and discretization conditions and do not guarantee successful optimization. A later Song–Dhariwal point-mass counterexample exposes a problem in the unequal-teacher moving-average justification for original direct training. Its corrected justification and improved benchmark scores are credited separately. Editing examples may use many steps. WRS has not replayed the image benchmarks or certified every theorem.\n\n## People and systems\n\nYang Song; Prafulla Dhariwal; Mark Chen; Ilya Sutskever\n\n\n\n## Original sources\n\n- [Song, Dhariwal, Chen and Sutskever, Consistency Models; exactarXiv2303.01469v2](https://arxiv.org/pdf/2303.01469v2)\n- [OriginalConsistencymodels officialarXiv completebyline/versiondates](https://arxiv.org/abs/2303.01469v2)\n- [Song and Dhariwal, Improved Techniques for Training Consistency Models; selectedrelatedcorrection only](https://arxiv.org/pdf/2310.14189v1)\n",
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