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Image Classification on MNIST standard (test)

99.7AccuracyDF blockwise
56.987268.076179.16590.2539Nov 7, 2020Oct 8, 2021Sep 9, 2022Aug 10, 2023Jul 11, 2024Jun 11, 2025May 13, 2026

Evaluation results

MethodLinks
DF blockwise# Layers=102025.0199.7——
ASGE# Layers=112025.0199.59——
MF cumulative*# Layers=42025.0199.58——
MF final*# Layers=42025.0199.58——
DF layerwise# Layers=102025.0199.53——
BP*# Layers=42025.0199.52——
DeeperForward# Layers=42025.0199.5——
FAUST# Layers=52025.0199.5——
Channel-wise FF# Layers=42025.0199.42——
LogicTreeNet-LModel=CNN, Gate count=1.27 M2026.0299.35——
PearsonNoise Type=Sparse, Noise Level=Low, Bias Correction=false2020.1199.24——
JeffreyNoise Type=Sparse, Noise Level=Low, Bias Correction=false2020.1199.24——
LogicTreeNet-MModel=CNN, Gate count=566 K2026.0299.23——
BitLogicModel=FFN, Gate count=384 K2026.0299.15——
SchrödingerHidden dimension=64, Depth=3, Batch size=16, Dropout=0.1, Global mean pooling=true, Epochs=200, Optimizer=Adam, Learning rate=3 × 10−4, Number of random seeds=52026.0599.13——
CNNBatch size=16, Dropout=0.1, Epochs=200, Optimizer=Adam, Learning rate=3 × 10−4, Number of random seeds=5, Overall width/depth scale=Matched to GNNs2026.0599.07——
CaFo# Layers=32025.0199.04——
FA*# Layers=42025.0198.99——
LILogicNet-LModel=FFN, Gate count=32 K2026.0298.95——
MPNNHidden dimension=64, Depth=3, Batch size=16, Dropout=0.1, Global mean pooling=true, Epochs=200, Optimizer=Adam, Learning rate=3 × 10−4, Number of random seeds=52026.0598.95——
DTP# Layers=62025.0198.93——
OursP(s=1)=0.5, Base loss=MAE, Backbone=CNN2026.0598.86——
SNN (rate coding)Network=784-800-10, Coding=SNN (rate coding), BP scheme=surrogate-gradient, Spike type=multi, Leakage=leaky, τV=τ, τI=τ2022.1198.84——
Trans-PRODENP(s=1)=0.5, Base loss=CCE, Backbone=CNN2026.0598.73——
OursP(s=1)=0.7, Base loss=MAE, Backbone=CNN2026.0598.73——
OursP(s=1)=0.3, Base loss=MAE, Backbone=CNN2026.0598.71——
SCFF# Layers=52025.0198.7——
JeffreyNoise Type=Random, Noise Level=0.7, Bias Correction=false2020.1198.67——
Trans-MCL (MAE)P(s=1)=0.5, Base loss=MAE, Backbone=CNN2026.0598.66——
Trans-PRODENP(s=1)=0.3, Base loss=CCE, Backbone=CNN2026.0598.64——
SNN (rate coding)Network=784-800-10, Coding=SNN (rate coding), BP scheme=surrogate-gradient, Spike type=multi, Leakage=leaky, τV=τ, τI=τ2022.1198.64——
Trans-PRODENP(s=1)=0.7, Base loss=CCE, Backbone=CNN2026.0598.62——
DMINoise Type=Sparse, Noise Level=Low, Bias Correction=false2020.1198.59——
DFA*# Layers=42025.0198.53——
DiffLogic Net (largest)Model=FFN, Gate count=384 K2026.0298.47——
LogicTreeNet-SModel=CNN, Gate count=147 K2026.0298.46——
LILogicNet-MModel=FFN, Gate count=8 K2026.0298.45——
timing-based backpropagation for multi-spike SNNsNetwork=784-400-10, Coding=SNN (temporal coding), BP scheme=timing-based, Spike type=multi, Leakage=leaky, τV=τ, τI=2τ2022.1198.43——
ANNNetwork=784-800-10 (+ dropout), Coding=ANN2022.1198.4——
GINHidden dimension=64, Depth=3, Batch size=16, Dropout=0.1, Global mean pooling=true, Epochs=200, Optimizer=Adam, Learning rate=3 × 10−4, Number of random seeds=52026.0598.33——
PEPITA# Layers=22025.0198.29——
Trans-MCL (EXP)P(s=1)=0.5, Base loss=EXP, Backbone=CNN2026.0598.27——
timing-based backpropagation for multi-spike SNNsNetwork=784-400-10, Coding=SNN (temporal coding), BP scheme=timing-based, Spike type=multi, Leakage=non-leaky*, τV=τ, τI=2τ2022.1198.23——
Trans-MCL (EXP)P(s=1)=0.7, Base loss=EXP, Backbone=CNN2026.0598.12——
Trans-MCL (EXP)P(s=1)=0.3, Base loss=EXP, Backbone=CNN2026.0598.1——
SNN (temporal coding)Network=784-500-10, Coding=SNN (temporal coding), BP scheme=timing-based, Spike type=single, Leakage=non-leaky, τV=∞, τI=∞2022.1197.99——
timing-based backpropagation for SNNsNetwork=784-400-10, Coding=SNN (temporal coding), BP scheme=timing-based, Spike type=single, Leakage=leaky, τV=τ, τI=2τ2022.1197.99——
LILogicNet-SModel=FFN, Gate count=4 K2026.0297.96——
SNN (temporal coding)Network=784-340-10, Coding=SNN (temporal coding), BP scheme=timing-based, Spike type=single, Leakage=leaky, τV=τ, τI=τ2022.1197.96——
timing-based backpropagation for SNNsNetwork=784-400-10, Coding=SNN (temporal coding), BP scheme=timing-based, Spike type=single, Leakage=non-leaky*, τV=τ, τI=2τ2022.1197.96——
FLCNoise Type=Sparse, Noise Level=Low, Bias Correction=false2020.1197.76——
DiffLogic Net (small)Model=FFN, Gate count=48 K2026.0297.69——
SNN (temporal coding)Network=784-800-10, Coding=SNN (temporal coding), BP scheme=timing-based, Spike type=single, Leakage=non-leaky, τV=∞, τI=τ2022.1197.55——
SNN (temporal coding)Network=256-246-10, Coding=SNN (temporal coding), BP scheme=surrogate-gradient, Spike type=multi, Leakage=leaky, τV=τ, τI=τ2022.1197.5——
BLCNoise Type=Sparse, Noise Level=Low, Bias Correction=false2020.1197.37——
DRTP# Layers=22025.0197.32——
PLNoise Type=Sparse, Noise Level=Low, Bias Correction=false2020.1197.21——
SNN (temporal coding)Network=784-350-10, Coding=SNN (temporal coding), BP scheme=timing-based, Spike type=single, Leakage=leaky, τV=τ, τI=2τ2022.1197.2——
GATHidden dimension=64, Depth=3, Batch size=16, Dropout=0.1, Global mean pooling=true, Epochs=200, Optimizer=Adam, Learning rate=3 × 10−4, Number of random seeds=52026.0595.94——
BitLogicModel=CNN, Gate count=253.4 K2026.0295.72——
ChebConvHidden dimension=64, Depth=3, Batch size=16, Dropout=0.1, Global mean pooling=true, Epochs=200, Optimizer=Adam, Learning rate=3 × 10−4, Number of random seeds=52026.0595.72——
Trans-MCL (MAE)P(s=1)=0.3, Base loss=MAE, Backbone=CNN2026.0595.49——
Trans-MCL (MAE)P(s=1)=0.7, Base loss=MAE, Backbone=CNN2026.0595.47——
CENoise Type=Sparse, Noise Level=Low, Bias Correction=false2020.1195.23——
Trans-PLL-AvgP(s=1)=0.7, Base loss=MAE, Backbone=CNN2026.0594.85——
Trans-PLL-AvgP(s=1)=0.5, Base loss=MAE, Backbone=CNN2026.0594.78——
Trans-PLL-AvgP(s=1)=0.3, Base loss=MAE, Backbone=CNN2026.0593.8——
GCNHidden dimension=64, Depth=3, Batch size=16, Dropout=0.1, Global mean pooling=true, Epochs=200, Optimizer=Adam, Learning rate=3 × 10−4, Number of random seeds=52026.0592.09——
PearsonNoise Type=Sparse, Noise Level=High, Bias Correction=false2020.1158.63——
ADGMData augmentation=false2017.05——962
CAEN=1002015.06—13.47—
CAEN=6002015.06—6.3—
CAEN=10002015.06—4.77—
CAEN=30002015.06—3.22—
CatGANData augmentation=false2017.05——19,110
CDBN2014.04—0.82—
Conv. GPInput Dimension=25-dim2019.05—2.1—
Conv. Maxout + Dropout2014.04—0.45—
ConvnetN=1002015.06—22.98—
ConvnetN=6002015.06—7.86—
ConvnetN=10002015.06—6.45—
ConvnetN=30002015.06—3.35—
ConvNet2014.04—0.53—
FMDiscriminator architecture=small, Data augmentation=false2017.05——936.5
GCGPInput Dimension=24-dim2019.05—1.7—
HSC2014.04—0.77—
K-NN-IDM2014.04—0.54—
K-NN-SCM2014.04—0.63—
Ladder networkData augmentation=false2017.05——10,637
LDANet-1Filter size (k1, k2)=7, 72014.04—0.98—
LDANet-2Filter size (k1, k2)=7, 72014.04—0.62—
MTCN=1002015.06—12.03—
MTCN=6002015.06—5.13—
MTCN=10002015.06—3.64—
MTCN=30002015.06—2.57—
PCANet-1Filter size (k1, k2)=7, 72014.04—0.94—
PCANet-1 (k1 = 13)Filter size (k1, k2)=13, 72014.04—0.62—
PCANet-2Filter size (k1, k2)=7, 72014.04—0.66—
PL-DAEN=1002015.06—10.49—
PL-DAEN=6002015.06—5.03—