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Density Estimation on ImageNet 64x64 (test)

2.94Bits Per Sub-PixelstNCE-s+DSM
2.89363.20683.523.8332Mar 10, 2017Sep 21, 2018Apr 4, 2020Oct 17, 2021Apr 30, 2023Nov 11, 2024May 26, 2026

Evaluation results

MethodLinks
stNCE-s+DSMAnti-aliasing=true, Augmentation=Horizontal flips, Discreteness=Continuous, Type=Estimate, Single NFE=true2026.052.94
TarFlowAnti-aliasing=false, Augmentation=Horizontal flips, Discreteness=Uniform, Type=Normalized, Single NFE=true2026.052.99
NFDMforward process parameterization=Gaussian2024.043.2
NFDMforward process parameterization=non-Gaussian2024.043.2
NFDMAnti-aliasing=false, Augmentation=Horizontal flips, Discreteness=Uniform*, Type=Normalized, Single NFE=false2026.053.2
Flow Matching2024.043.31
FMAnti-aliasing=true, Augmentation=None, Discreteness=Uniform*, Type=Normalized, Single NFE=false2026.053.31
DenseFlowTIME (GPU hours)=2242021.063.35
NDM2024.043.35
Dual SMAnti-aliasing=true, Augmentation=Horizontal flips, Discreteness=Continuous, Type=Estimate, Single NFE=true2026.053.36
VDMType=Diff, Evaluation Protocol=variational bound2021.073.4
Perceiver AR2023.053.4
MEGABYTE2023.053.4
VDM2024.043.4
VDMAnti-aliasing=false, Augmentation=None, Discreteness=Discrete, Type=Upper bound, Single NFE=false2026.053.4
DistAugPARAM=152.0M2021.063.42
Combiner2023.053.42
Routing TransformerType=AR2021.073.43
Routing Transformer2023.053.43
Sparse TransformerModel type=AR, Params=152M, Sampling=D2020.113.44
Sparse TransformerPARAM=152.0M, TIME (GPU hours)=7days2021.063.44
2-resolution MRCNFPARAM=2.0M, TIME (GPU hours)=42.32021.063.44
Sparse TransformerType=AR2021.073.44
Improved DDPMType=Diff2021.073.51
PixelSNAILArchitecture Category=Autoregressive2019.023.52
SPNArchitecture Category=Autoregressive2019.023.52
SPNModel type=AR, Params=150M, Sampling=D2020.113.52
Very Deep VAEModel type=VAE, Params=125M, Depth=75, Sampling=12020.113.52
Very Deep VAEType=VAE2021.073.52
SPNType=AR2021.073.52
SPNPARAM=150.0M2021.063.53
Improved DDPM2024.043.54
I-DDPMAnti-aliasing=false, Augmentation=None, Discreteness=Continuous, Type=Upper bound, Single NFE=false2026.053.54
3-resolution MRCNFPARAM=2.0M, TIME (GPU hours)=35.42021.063.55
PixelCNNResolution=64x642017.033.57
Gated PixelCNNArchitecture Category=Autoregressive2019.023.57
Gated PixelCNNModel type=AR, Params=177M*, Sampling=D2020.113.57
Gated PixelCNNTIME (GPU hours)=602021.063.57
PixelCNNType=AR2021.073.57
PixelCNNAnti-aliasing=false, Augmentation=None, Discreteness=Discrete, Type=Normalized, Single NFE=false2026.053.57
PixelRNNArchitecture Category=Autoregressive2019.023.63
PixelRNNResolution=64x642017.033.64
Flow++Architecture Category=Flow-based, Dequantization Strategy=Variational2019.023.69
MACOWArchitecture Category=Flow-based, Model Variation=+var, Dequantization Strategy=Variational2019.023.69
Flow++variational dequantization=true2019.063.69
Flow++Model type=Flow, Params=73M, Sampling=12020.113.69
MaCowPARAM=122.5M2021.063.69
Flow++PARAM=73.5M2021.063.69
Flow++Type=Flow2021.073.69
Multiscale PixelCNNResolution=64x642017.033.7
Parallel MultiscaleArchitecture Category=Autoregressive2019.023.7
MACOWArchitecture Category=Flow-based, Model Variation=+fine-grained2019.023.75
Residual Flow2019.063.757
MACOWArchitecture Category=Flow-based, Model Variation=Original (Org)2019.023.78
Wavelet FlowPARAM=96.0M, TIME (GPU hours)=8222021.063.78
GlowArchitecture Category=Flow-based2019.023.81
Glow2019.063.81
GlowModel type=Flow, Sampling=12020.113.81
GlowPARAM=111.1M2021.063.81
GlowType=Flow2021.073.81
GlowEpochs=6002025.123.81
EmergingEpochs=600, Convolution Type=Emerging convolutions2025.123.81
GlowAnti-aliasing=false, Augmentation=None, Discreteness=Continuous, Type=Normalized, Single NFE=true2026.053.81
RNODEGPUs=4, PARAM=2.0M, TIME (GPU hours)=256.42021.063.83
QuadEpochs=600, Convolution Type=3x3 invertible convolutions, Coupling Type=Quad-coupling2025.123.8514
3 x 3Epochs=600, Convolution Type=3x3 invertible convolutions2025.123.8946
Real NVPResolution=64x642017.033.98
Real NVPArchitecture Category=Flow-based2019.023.98
Real NVP2019.063.98
RealNVPPARAM=96.0M2021.063.98
Conv. DRAWResolution=64x642017.034.1