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Finding the Global Semantic Representation in GAN through Fréchet Mean

ICLR 2023 · Image generation › Autoregressive and latent generation · approach: Generative latent space tooling · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Basis refinement by Fréchet mean on the GANSpace subspace (ablation)GANSpace · StyleGAN2-FFHQ W-spaceDCI: 0.312 -> 0.336Helped
Basis refinement by Fréchet mean on the GANSpace subspace (ablation)GANSpace · StyleGAN2-FFHQ W-spaceFID (perturbation 2): 8.90 -> 8.63Helped
Basis refinement by Fréchet mean on the SeFa subspace (ablation)SeFa · StyleGAN2-FFHQ W-spaceFID (perturbation 2): 11.79 -> 7.89Helped
Basis refinement by Fréchet mean on the SeFa subspace (ablation)SeFa · StyleGAN2-FFHQ W-spaceDCI: 0.307 -> 0.337Helped
Fréchet basis (Grassmann subspace Fréchet mean plus SO(n) basis Fréchet mean) instead of GANSpaceglobal semantic basis · StyleGAN2-FFHQ W-spaceDCI and FID: DCI 0.350 vs 0.312; FID 7.49 vs 8.90Helped
Fréchet basis instead of Local Basis for local DCIglobal semantic basis · Local DCI on W-space of StyleGAN2, StyleGAN2-e, StyleGAN1local DCI: StyleGAN2 0.740 vs 0.665; StyleGAN2-e 0.726 vs 0.704; StyleGAN1 0.733 vs 0.677Helped
Fréchet basis instead of GANSpace in intermediate layersglobal semantic basis · StyleGAN2-FFHQ DCI across 6 intermediate layersDCI: higher DCI in all layers except 5th layer of StyleGAN2-eHelped
Extrinsic mean instead of Fréchet mean on Grassmannian for global subspace (ablation)global semantic subspace · StyleGAN2-FFHQ, I=3.0DCI and FIDHurt
Fréchet basis instead of GANSpace for robustness under latent traversalglobal semantic basis · StyleGAN1, StyleGAN2-e, StyleGAN2 FFHQ FIDFID under traversalHelped

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