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Density Estimation on binarized MNIST 28x28 (test)

81.3Test LogLPIXELCNN
-178.96-111.3925-43.82523.7425Oct 7, 2013Aug 27, 2014Jul 18, 2015Jun 7, 2016Apr 27, 2017Mar 18, 2018Feb 6, 2019

Evaluation results

MethodLinks
PIXELCNNAutoregressive components=true2019.0281.3—
BIVAAutoregressive components=false, Importance weighted samples=1, Fine-tuned=false2019.0281.2—
DISCRETE VAEAutoregressive components=false2019.0281.01—
DRAWAutoregressive components=true2019.0280.97—
BIVAAutoregressive components=false, Importance weighted samples=1, Fine-tuned=true2019.0280.47—
IAFVAEAutoregressive components=true2019.0279.88—
PIXELVAEAutoregressive components=true2019.0279.66—
PIXELRNNAutoregressive components=true2019.0279.2—
VLAEAutoregressive components=true2019.0279.03—
BIVAAutoregressive components=false, Importance weighted samples=1000, Fine-tuned=false2019.0278.67—
BIVAAutoregressive components=false, Importance weighted samples=1000, Fine-tuned=true2019.0278.59—
DARNnumber of hidden units=500, noise=adaNoise2014.06-84.13—
DBNhidden layers=2, approximation=true2013.10-84.55—
DBNnumber of hidden units=500h+2000h2014.06-84.55—
EONADE-5 2HL(128 Ords)number of hidden layers=2, number of steps (k)=5, number of orderings=128, ensemble=true2014.06-84.68—
DARNnumber of hidden units=5002014.06-84.71—
EoNADEhidden layers=2, orderings=1282013.10-85.1—
EONADE-mask 2HL(128 Ords)number of hidden layers=2, number of orderings=128, ensemble=true2014.06-85.1—
EONADE-5 1HL(128 Ords)number of hidden layers=1, number of steps (k)=5, number of orderings=128, ensemble=true2014.06-86.23—
RBMhidden units=500, CD steps=25, approximation=true2013.10-86.34—
RBMnumber of hidden units=500, training=CD-252014.06-86.34—
NADE-5 2HLnumber of hidden layers=2, number of steps (k)=52014.06-87.14—
EoNADEhidden layers=1, orderings=1282013.10-87.71—
EONADE-mask 1HL(128 Ords)number of hidden layers=1, number of orderings=128, ensemble=true2014.06-87.71—
EoNADEhidden layers=2, orderings=22013.10-87.96—
NADEhidden layers=1, ordering=fixed, activation=RLU, training=minibatch2013.10-88.33—
NADEhidden layers=1, ordering=fixed, activation=sigm, training=minibatch2013.10-88.35—
NADEhidden layers=1, ordering=fixed2013.10-88.86—
NADE 1HL(fixed order)number of hidden layers=1, ordering=fixed2014.06-88.86—
NADEhidden layers=22013.10-89.17—
NADE-mask 2HLnumber of hidden layers=22014.06-89.17—
NADEhidden layers=32013.10-89.38—
NADEhidden layers=42013.10-89.6—
NADE-mask 4HLnumber of hidden layers=42014.06-89.6—
NADE-5 1HLnumber of hidden layers=1, number of steps (k)=52014.06-90.02—
EoNADEhidden layers=1, orderings=22013.10-90.69—
NADEhidden layers=12013.10-92.17—
NADE-mask 1HLnumber of hidden layers=12014.06-92.17—
NADEhidden layers=2, input masks=false2013.10-95.33—
NADE 2HLnumber of hidden layers=2, ordering=random2014.06-95.33—
NADEhidden layers=1, input masks=false2013.10-99.37—
NADE 1HLnumber of hidden layers=1, ordering=random2014.06-99.37—
MoBernoullisK=5002013.10-137.64—
MoBernoullisK=102013.10-168.95—
DARNnh=500, Tractability=Intractable2015.02—84.71
DARNnh=500, Noise=adaNoise, Tractability=Intractable2015.02—84.13
DARN (Intractable)Type=Intractable2020.06—84.13
DBMArchitecture=2 hidden layers, Tractability=Intractable2015.02—84.62
DBNArchitecture=2 hidden layers, Tractability=Intractable2015.02—84.55
EoNADEArchitecture=1 hidden layer, Orderings=128, Tractability=Tractable2015.02—87.71
EoNADEArchitecture=2 hidden layers, Orderings=128, Tractability=Tractable2015.02—85.1
EoNADE 2hlLayers=2hl, Orders=1282020.06—85.1
EoNADE-5 2hlLayers=2hl, Orders=1282020.06—84.68
Locally Masked Convolution (S-curve)Orders=12020.06—78.47
Locally Masked Convolution (S-curve)Orders=82020.06—77.58
MADEArchitecture=1 hidden layer, Masks=1, Tractability=Tractable2015.02—88.4
MADEArchitecture=2 hidden layers, Masks=1, Tractability=Tractable2015.02—89.59
MADEArchitecture=1 hidden layer, Masks=32, Tractability=Tractable2015.02—88.04
MADEArchitecture=2 hidden layers, Masks=32, Tractability=Tractable2015.02—86.64
MADE 2hlLayers=2hl, Orders=322020.06—86.64
MoBernoullisK=10, Tractability=Tractable2015.02—168.95
MoBernoullisK=500, Tractability=Tractable2015.02—137.64
NADEArchitecture=1 hidden layer, Ordering=fixed order, Tractability=Tractable2015.02—88.33
NADE2020.06—88.33
PixelCNN2020.06—81.3
PixelRNN2020.06—79.2
RBMArchitecture=500 h, CD steps=25, Tractability=Intractable2015.02—86.34