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Bounds all around: training energy-based models with bidirectional bounds

NeurIPS 2021 · Learning theory and algorithms › Sample complexity · approach: Statistical analysis of GAN estimators · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the bidirectional upper bound with a zero-centered gradient penalty (ablation)EBM-BB · CIFAR-10FID: 28.63 ± 0.290 -> 35.42 ± 0.582Hurt
Replace the bidirectional upper bound with a zero-centered gradient penalty (ablation)EBM-BB · ANIMEFACEFID: 12.75 ± 0.045 -> 20.53 ± 0.524Hurt
Replace the bidirectional upper bound with a zero-centered gradient penalty (ablation)EBM-BB · ANIMEFACEInception Score: 2.26 ± 0.005 -> 2.26 ± 0.017No clear effect
Replace the bidirectional upper bound with a zero-centered gradient penalty (ablation)EBM-BB · CIFAR-10Anisotropy index: 0.9431 ± 0.0191 -> 1.0688 ± 0.0226Hurt
Replace the bidirectional upper bound with a zero-centered gradient penalty (ablation)EBM-BB · ANIMEFACEAnisotropy index: 1.8016 ± 0.1345 -> 3.4560 ± 0.0521Hurt
Replace the bidirectional upper bound with a zero-centered gradient penalty (ablation)EBM-BB · CIFAR-10 / SVHNAUROC: 0.88 -> 0.66Hurt
Replace the bidirectional upper bound with a zero-centered gradient penalty (ablation)EBM-BB · CIFAR-10 / CIFAR-100AUROC: 0.53 -> 0.64Helped
Replace the bidirectional upper bound with a zero-centered gradient penalty (ablation)EBM-BB · ANIMEFACE / BedroomAUROC: 0.53 -> 0.67Helped
Use Hutchinson's entropy estimator instead of the proposed estimator (ablation)EBM-BB entropy estimation · MNISTEntropy estimateMixed
Remove batch normalization from the energy function (ablation)EBM-BB · ANIMEFACETraining stabilityHelped
Replace latent dimension normalization with the squared norm of a random vector in the upper-bound coefficient (ablation)EBM-BB · High-dimensional dataGeneration qualityHelped

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