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Deep Equilibrium Approaches to Diffusion Models

NeurIPS 2022 · Image generation › Fast diffusion sampling · approach: Fast diffusion ODE solvers · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace sequential DDIM sampling with joint DEQ-DDIM samplingDDIM · CIFAR10, T=1000time: 20.16s -> 2.91sHelped
Replace sequential DDIM sampling with joint DEQ-DDIM samplingDDIM · CelebA, T=500FID: 3.66 -> 2.92Helped
Replace sequential DDIM sampling with joint DEQ-DDIM samplingDDIM · LSUN Bedroom, T=25FID: 8.76 -> 8.73No clear effect
Replace sequential DDIM sampling with joint DEQ-DDIM samplingDDIM · LSUN Church, T=25time: 1.68s -> 3.99sHurt
Use DEQ-DDIM instead of sequential DDIM for latent inversionDDIM inversion · CIFAR10, T=10minimum inversion loss: 2.59 ± 3.67 -> 0.68 ± 0.32Helped
Use DEQ-DDIM instead of sequential DDIM for latent inversionDDIM inversion · CelebA, T=20minimum inversion loss: 14.13 ± 5.04 -> 1.03 ± 0.37Helped
Use DEQ-DDIM instead of sequential DDIM for latent inversionDDIM inversion · LSUN Bedroom, T=10minimum inversion loss: 1114.49 ± 795.86 -> 36.37 ± 22.86Helped
Use DEQ-DDIM instead of sequential DDIM for latent inversionDDIM inversion · LSUN Church, T=10minimum inversion loss: 1674.68 ± 1432.54 -> 47.94 ± 24.78Helped
Use inexact one-step gradients instead of exact gradients (ablation)DEQ-DDIM inversion · CelebA, chain length 20convergence rate: + faster convergence at learning rate 0.01; no numeric value reportedHelped
Initialize all latent states with x_T instead of zeros (ablation)DEQ-DDIM · CIFAR10, chain length 50convergence rate: up to 3×Helped
Increase the chain length during inversion (ablation)DEQ-DDIM · CIFAR10 and CelebAconvergence rateNo clear effect
Increase sampling steps after inversion (ablation)Baseline DDIM inversion · LSUN Bedroomreconstruction qualityNo clear effect

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