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Generative Modeling on MNIST (train)

136.73ELBOST
96.0556106.6153117.175127.7347Apr 17, 2023Oct 10, 2023Apr 3, 2024Sep 26, 2024Mar 21, 2025Sep 13, 2025Mar 9, 2026

Evaluation results

MethodLinks
STCategorical × Latent Dimension=10×302026.03136.73—
STCategorical × Latent Dimension=8×42026.03136.4—
GST-1.0Categorical × Latent Dimension=8×42026.03128.31—
GumbelCategorical × Latent Dimension=8×42026.03127.59—
Gumbel-RaoCategorical × Latent Dimension=8×42026.03125.65—
ReinMax-RaoCategorical × Latent Dimension=8×42026.03125.31—
ReinMaxCategorical × Latent Dimension=8×42026.03125.08—
ReinMax-CVCategorical × Latent Dimension=8×42026.03124.94—
STCategorical × Latent Dimension=64×82026.03113.97—
STCategorical × Latent Dimension=8×162026.03113.32—
STCategorical × Latent Dimension=16×122026.03113.31—
Gumbel-RaoCategorical × Latent Dimension=64×82026.03112.48—
STCategorical × Latent Dimension=4×242026.03112.21—
Gumbel-RaoCategorical × Latent Dimension=16×122026.03109.72—
GumbelCategorical × Latent Dimension=64×82026.03103.87—
DisARMK=2, Architecture=2x200 VAE2023.04102.75—
GST-1.0Categorical × Latent Dimension=64×82026.03102.41—
Gumbel-RaoCategorical × Latent Dimension=10×302026.03102.28—
Double CVK=2, Architecture=2x200 VAE2023.04102.14—
RELAXK=3, Architecture=2x200 VAE2023.04101.99—
RODEOK=2, Architecture=2x200 VAE2023.04101.89—
GST-1.0Categorical × Latent Dimension=4×242026.03101.64—
GumbelCategorical × Latent Dimension=4×242026.03101.49—
ReinMaxCategorical × Latent Dimension=64×82026.03101.09—
Double CVK=3, Architecture=2x200 VAE2023.04100.94—
ARMSK=3, Architecture=2x200 VAE2023.04100.84—
ReinMax-CVCategorical × Latent Dimension=64×82026.03100.66—
RODEOK=3, Architecture=2x200 VAE2023.04100.46—
GumbelCategorical × Latent Dimension=16×122026.03100.42—
ReinMax-RaoCategorical × Latent Dimension=4×242026.03100.41—
ReinMax-RaoCategorical × Latent Dimension=64×82026.03100.24—
ReinMax-CVCategorical × Latent Dimension=4×242026.03100.19—
Gumbel-RaoCategorical × Latent Dimension=4×242026.03100.14—
ReinMaxCategorical × Latent Dimension=4×242026.0399.88—
GumbelCategorical × Latent Dimension=10×302026.0399.8—
Gumbel-RaoCategorical × Latent Dimension=8×162026.0399.63—
GumbelCategorical × Latent Dimension=8×162026.0399.2—
GST-1.0Categorical × Latent Dimension=10×302026.0398.66—
ReinMax-RaoCategorical × Latent Dimension=10×302026.0398.61—
ReinMaxCategorical × Latent Dimension=10×302026.0398.5—
GST-1.0Categorical × Latent Dimension=16×122026.0398.37—
GST-1.0Categorical × Latent Dimension=8×162026.0398.31—
ReinMax-CVCategorical × Latent Dimension=16×122026.0398.21—
ReinMaxK=2, Architecture=2x200 VAE2023.0498.17—
ReinMax-CVCategorical × Latent Dimension=10×302026.0398.07—
ReinMax-RaoCategorical × Latent Dimension=8×162026.0398.03—
ReinMaxCategorical × Latent Dimension=16×122026.0397.98—
ReinMaxK=3, Architecture=2x200 VAE2023.0497.83—
ReinMaxCategorical × Latent Dimension=8×162026.0397.8—
ReinMax-CVCategorical × Latent Dimension=8×162026.0397.72—
ReinMax-RaoCategorical × Latent Dimension=16×122026.0397.62—
DisARM-Treebatch size=200, training steps=5 x 10^5, latent dimensions=32, categorical dimensions=642023.04—103.1
GR-MCKbatch size=200, training steps=5 x 10^5, latent dimensions=32, categorical dimensions=642023.04—110.74
GR-MCKLatent dimensions (N x M)=8 x 42023.04—125.94
GR-MCKLatent dimensions (N x M)=4 x 242023.04—99.96
GR-MCKLatent dimensions (N x M)=8 x 162023.04—99.58
GR-MCKLatent dimensions (N x M)=16 x 122023.04—102.54
GR-MCKLatent dimensions (N x M)=64 x 82023.04—112.34
GR-MCKLatent dimensions (N x M)=10 x 302023.04—102.02
GR-MCKLatent dimensions (N x M)=AVG2023.04—107.06
GST-1.0batch size=200, training steps=5 x 10^5, latent dimensions=32, categorical dimensions=642023.04—96.09
GST-1.0Latent dimensions (N x M)=8 x 42023.04—126.35
GST-1.0Latent dimensions (N x M)=4 x 242023.04—101.49
GST-1.0Latent dimensions (N x M)=8 x 162023.04—98.29
GST-1.0Latent dimensions (N x M)=16 x 122023.04—98.12
GST-1.0Latent dimensions (N x M)=64 x 82023.04—102.53
GST-1.0Latent dimensions (N x M)=10 x 302023.04—98.64
GST-1.0Latent dimensions (N x M)=AVG2023.04—104.25
ReinMaxbatch size=200, training steps=5 x 10^5, latent dimensions=32, categorical dimensions=642023.04—93.44
ReinMaxLatent dimensions (N x M)=8 x 42023.04—124.66
ReinMaxLatent dimensions (N x M)=4 x 242023.04—99.77
ReinMaxLatent dimensions (N x M)=8 x 162023.04—97.7
ReinMaxLatent dimensions (N x M)=16 x 122023.04—98.06
ReinMaxLatent dimensions (N x M)=64 x 82023.04—100.71
ReinMaxLatent dimensions (N x M)=10 x 302023.04—98.37
ReinMaxLatent dimensions (N x M)=AVG2023.04—103.21
RLOObatch size=200, training steps=5 x 10^5, latent dimensions=32, categorical dimensions=642023.04—104.03
STbatch size=200, training steps=5 x 10^5, latent dimensions=32, categorical dimensions=642023.04—116
STLatent dimensions (N x M)=8 x 42023.04—135.53
STLatent dimensions (N x M)=4 x 242023.04—112.03
STLatent dimensions (N x M)=8 x 162023.04—112.94
STLatent dimensions (N x M)=16 x 122023.04—113.31
STLatent dimensions (N x M)=64 x 82023.04—113.9
STLatent dimensions (N x M)=10 x 302023.04—112.63
STLatent dimensions (N x M)=AVG2023.04—116.72
STGSbatch size=200, training steps=5 x 10^5, latent dimensions=32, categorical dimensions=642023.04—97.32
STGSLatent dimensions (N x M)=8 x 42023.04—126.85
STGSLatent dimensions (N x M)=4 x 242023.04—101.32
STGSLatent dimensions (N x M)=8 x 162023.04—99.32
STGSLatent dimensions (N x M)=16 x 122023.04—100.09
STGSLatent dimensions (N x M)=64 x 82023.04—104
STGSLatent dimensions (N x M)=10 x 302023.04—99.63
STGSLatent dimensions (N x M)=AVG2023.04—105.2