<p>In the field of imbalanced image generation, long-tailed diffusion models have achieved outstanding results. However, there has been little research on the exposure bias problem that exists in long-tailed diffusion models. In this paper, we conduct a systematic study of the exposure bias in long-tailed diffusion models and find that this bias arises from the inconsistency in network inputs between the training and sampling phases. To mitigate this bias, we propose a method that requires no additional training and improves performance from two aspects: time-step selection and mean estimation. Regarding time-step selection, our study reveals that during sampling, for a given time-step <i>t</i> and its corresponding <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\hat{x}_t\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mover accent="true"> <mi>x</mi> <mo stretchy="false">^</mo> </mover> <mi>t</mi> </msub> </math></EquationSource> </InlineEquation>, there may exist an alternative time-step <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(t_k\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>t</mi> <mi>k</mi> </msub> </math></EquationSource> </InlineEquation> that exhibits a stronger coupling with <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\hat{x}_t\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mover accent="true"> <mi>x</mi> <mo stretchy="false">^</mo> </mover> <mi>t</mi> </msub> </math></EquationSource> </InlineEquation>. Based on this observation, we adjust the sampling time-steps accordingly. Regarding mean estimation, we observe that in the sampling process of long-tailed diffusion models, there is gradient information between the estimated values of the original sample at two consecutive time-steps. By leveraging this gradient information, we extrapolate the two estimates to compute a more accurate overall estimate. Our method can be applied to various long-tailed diffusion models (e.g., CBDM, T2H) and is compatible with multiple samplers, including DDPM, DDIM, and other higher-order samplers. For instance, on the CIFAR100LT long-tailed dataset, our method achieves an impressive FID of 5.73 when using the DEIS sampler. The link to our code is: <a href="https://github.com/king-w-king/CBDM_TS">https://github.com/king-w-king/CBDM_TS</a>.</p>

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Mitigating exposure bias in long-tailed diffusion models through improved time-steps and mean estimation

  • Zhuoyu Zhou,
  • Qiangkui Leng,
  • Keyi Song,
  • Guansheng Yuan

摘要

In the field of imbalanced image generation, long-tailed diffusion models have achieved outstanding results. However, there has been little research on the exposure bias problem that exists in long-tailed diffusion models. In this paper, we conduct a systematic study of the exposure bias in long-tailed diffusion models and find that this bias arises from the inconsistency in network inputs between the training and sampling phases. To mitigate this bias, we propose a method that requires no additional training and improves performance from two aspects: time-step selection and mean estimation. Regarding time-step selection, our study reveals that during sampling, for a given time-step t and its corresponding \(\hat{x}_t\) x ^ t , there may exist an alternative time-step \(t_k\) t k that exhibits a stronger coupling with \(\hat{x}_t\) x ^ t . Based on this observation, we adjust the sampling time-steps accordingly. Regarding mean estimation, we observe that in the sampling process of long-tailed diffusion models, there is gradient information between the estimated values of the original sample at two consecutive time-steps. By leveraging this gradient information, we extrapolate the two estimates to compute a more accurate overall estimate. Our method can be applied to various long-tailed diffusion models (e.g., CBDM, T2H) and is compatible with multiple samplers, including DDPM, DDIM, and other higher-order samplers. For instance, on the CIFAR100LT long-tailed dataset, our method achieves an impressive FID of 5.73 when using the DEIS sampler. The link to our code is: https://github.com/king-w-king/CBDM_TS.