Generative Adversarial Networks

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GANs (mainly in image synthesis)
Survey Papers / Repos
Are GANs Created Equal? A Large-Scale Study [1711.10337]​
Which Training Methods for GANs do actually Converge? [1801.04406]​
A Large-Scale Study on Regularization and Normalization in GANs [1807.04720]​
​hindupuravinash/the-gan-zoo​
Resources
​google/compare_gan​
​TF-GAN: TensorFlow-GAN
​torchgan​
​PyTorch-GAN​
​lzhbrian/metrics: IS, FID implementation in TF, PyTorch
Models
Loss functions
Vanilla GAN [1406.2661]​
EBGAN [1609.03126]​
LSGAN [1611.04076]​
WGAN [1701.07875]​
BEGAN [1703.10717]​
Hinge Loss [1705.02894]​
Regularization
Gradient Penalty [1704.00028]​
DRAGAN [1705.07215]​
SNGAN [1802.05957]​
Consistency Regularization [1910.12027]​
Architecture
Deep Convolution GAN (DCGAN) [1511.06434]​
Progressive Growing of GANs (PGGAN) [1710.10196]​
Self Attention GAN (SAGAN) [1805.08318]​
BigGAN [1809.11096]​
Style based Generator (StyleGAN) [1812.04948]​
Mapping Network (StyleGAN) [1812.04948]​
LOGAN: Latent Optimisation for Generative Adversarial Networks [1912.00953]​
Conditional GANs
Vanilla Conditional GANs [1411.1784]​
Auxiliary Classifer GAN (ACGAN) [1610.09585]​
Others
Tricks
Two time-scale update rule (TTUR) [bioinf-jku/TTUR] [1706.08500]​
Self-Supervised GANs via Auxiliary Rotation Loss (SS-GAN) [1811.11212]​
Metrics (my implementation: lzhbrian/metrics)
Inception Score [1606.03498] [1801.01973]​
Assumption
MEANINGFUL: The generated image should be clear, the output probability of a classifier network should be [0.9, 0.05, ...] (largely skewed to a class). p(y∣x)p(y|\mathbf{x})p(y∣x)
 is of low entropy.
DIVERSITY: If we have 10 classes, the generated image should be averagely distributed. So that the marginal distribution p(y)=1N∑i=1Np(y∣x(i))p(y) = \frac{1}{N} \sum_{i=1}^{N} p(y|\mathbf{x}^{(i)})p(y)=N1​∑i=1N​p(y∣x(i))
 __is of high entropy.
Better models: KL Divergence of p(y∣x)p(y|\mathbf{x})p(y∣x)
 and p(y)p(y)p(y)
 should be high.
Formulation
​IS=exp⁡(Ex∼pgDKL[p(y∣x)∣∣p(y)])\text{IS} = \exp (\mathbb{E}_{\mathbf{x} \sim p_g} D_{KL} [p(y|\mathbf{x}) || p(y)] )IS=exp(Ex∼pg​​DKL​[p(y∣x)∣∣p(y)])
​
where
​x\mathbf{x}x
 is sampled from generated data
​p(y∣x)​p(y|\mathbf{x})​p(y∣x)​
 is the output probability of Inception v3 when input is x​\mathbf{x}​x​
​
​p(y)=1N∑i=1Np(y∣x(i))p(y) = \frac{1}{N} \sum_{i=1}^{N} p(y|\mathbf{x}^{(i)})p(y)=N1​∑i=1N​p(y∣x(i))
 is the average output probability of all generated data (from InceptionV3, 1000-dim vector)
​DKL(p∣∣q)=∑jpjlog⁡pjqjD_{KL} (\mathbf{p}||\mathbf{q}) = \sum_{j} p_{j} \log \frac{p_j}{q_j}DKL​(p∣∣q)=∑j​pj​logqj​pj​​
, where jjj
 is the dimension of the output probability.
Reference
Official TF implementation is in openai/improved-gan​
Pytorch Implementation: sbarratt/inception-score-pytorch​
TF seemed to provide a good implementation​
​scipy.stats.entropy​
​zhihu: Inception Score 的原理和局限性​
​A Note on the Inception Score​
FID Score [1706.08500]​
Formulation
​FID=∣∣μr−μg∣∣2+Tr(Σr+Σg−2(ΣrΣg)1/2)​\text{FID} = ||\mu_r - \mu_g||^2 + Tr(\Sigma_{r} + \Sigma_{g} - 2(\Sigma_r \Sigma_g)^{1/2})​FID=∣∣μr​−μg​∣∣2+Tr(Σr​+Σg​−2(Σr​Σg​)1/2)​
​
where
​TrTrTr
 is trace of a matrix (wikipedia)​
​Xr∼N(μr,Σr)X_r \sim \mathcal{N}(\mu_r, \Sigma_r)Xr​∼N(μr​,Σr​)
 and Xg∼N(μg,Σg)X_g \sim \mathcal{N}(\mu_g, \Sigma_g)Xg​∼N(μg​,Σg​)
 are the 2048-dim activations the Inception v3 pool3 layer
​μr\mu_rμr​
 is the mean of real photo's feature
​μg\mu_gμg​
 is the mean of generated photo's feature
​Σr\Sigma_rΣr​
 is the covariance matrix of real photo's feature
​Σg\Sigma_gΣg​
 is the covariance matrix of generated photo's feature
Reference
Official TF implementation: bioinf-jku/TTUR​
Pytorch Implementation: mseitzer/pytorch-fid​
TF seemed to provide a good implementation​
​zhihu: Frechet Inception Score (FID)​
​Explanation from Neal Jean​
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Contents
Survey Papers / Repos
Metrics (my implementation: lzhbrian/metrics)