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Regression on UCI ENERGY (test)

-4.18Negative Log LikelihoodnGEM
-626.66723,575.12147,776.9111,978.6986Feb 16, 2021Jan 7, 2022Nov 29, 2022Oct 21, 2023Sep 10, 2024Aug 2, 2025Jun 24, 2026

Evaluation results

MethodLinks
nGEMOptimizer=Soap2026.02-4.180.3————
NLLOptimizer=Soap2026.02-3.990.72————
nGEMOptimizer=Adam2026.02-3.290.49————
nGEMOptimizer=Muon2026.02-3.190.53————
NLLOptimizer=Adam2026.02-3.090.95————
NLLOptimizer=Muon2026.02-2.681.32————
beta-NLLOptimizer=Adam2026.02-2.550.97————
NLLOptimizer=KFAC2026.02-0.962.11————
DWPdepth=32021.07-0.71—————
DWPdepth=22021.07-0.7—————
DWPdepth=42021.07-0.7—————
DWPdepth=52021.07-0.7—————
DGPdepth=22021.07-0.7—————
DGPdepth=32021.07-0.7—————
DGPdepth=42021.07-0.7—————
DGPdepth=52021.07-0.7—————
DIWPdepth=42021.07-0.7—————
nGEMOptimizer=KFAC2026.02-0.431.51————
SDR-GP2026.050.37————0.05
DKL2026.050.45————0.09
UMAP-GP2026.050.53————0.13
Δ-UQtrials=20, train-test split=0.8-0.22022.070.56—————
DEnstrials=20, train-test split=0.8-0.22022.070.61—————
KSPCA-GP2026.050.67————0.22
NCA-GP2026.050.81————0.29
Bethe-FGinference_cost=single-pass2026.050.838—————
VBLLinference_cost=single-pass2026.050.852—————
DGP2026.050.88————0.12
SGHMCInference Type=Stochastic Gradient MCMC, Network Architecture=MLP (512-256-128), Activation=ReLU, Samples=1,0002023.020.9202.714.1195.98—
BNNtrials=20, train-test split=0.8-0.22022.070.93—————
BPSInference Type=Piecewise Deterministic Markov Process, Network Architecture=MLP (512-256-128), Activation=ReLU, Samples=1,0002023.020.9502.714.13392.42—
σBPSInference Type=Piecewise Deterministic Markov Process, Network Architecture=MLP (512-256-128), Activation=ReLU, Samples=1,0002023.020.9502.734.15800.66—
Bethe-Obs2026.050.958—————
BoomerangInference Type=Piecewise Deterministic Markov Process, Network Architecture=MLP (512-256-128), Activation=ReLU, Samples=1,0002023.020.970837.54824.77790.48—
PBPtrials=20, train-test split=0.8-0.22022.071.01—————
VMG2021.021.06—————
VSD2021.021.06—————
Bethe-Diaginference_cost=single-pass2026.051.107—————
SLANG2021.021.12—————
MCDtrials=20, train-test split=0.8-0.22022.071.21—————
ETD-BAL-MomType=Score-free2026.061.2170.772————
VD2021.021.3—————
D.E2021.021.38—————
ETD-SR-EucType=Score-free2026.061.4180.987————
BBB2021.021.45—————
ETD-UB-MomType=Score-free2026.061.4681.031————
SGLDInference Type=Stochastic Gradient MCMC, Network Architecture=MLP (512-256-128), Activation=ReLU, Samples=1,0002023.021.60.012.965.741,000—
Deep Ensembleinference_cost=multi-pass, ensemble_size=52026.051.613—————
Laplace-Fullinference_cost=single-pass2026.051.626—————
MAPinference_cost=single-pass2026.051.629—————
MCD2021.021.72—————
SVGDType=Baselines2026.061.7560.761————
MC Dropoutinference_cost=multi-pass, samples=502026.051.764—————
SGLDType=Baselines2026.061.9911.226————
ETD-SR-MomType=Score-guided2026.062.2371.744————
ETD-SR-Mom (IS)Type=Score-guided, Importance Sampling=true2026.062.2541.681————
ETD-SR-Euc (IS)Type=Score-guided, Importance Sampling=true2026.062.2721.714————
DLEMethod Class=ID-GVI2023.052.43—————
GP-RBFtype=non-parametric2026.052.532—————
DEMethod Class=ID-GVI2023.052.83—————
MCMCData Normalization=non-normalized2025.122.84—————
MNF2021.023.18—————
AGF-SVGDType=Baselines2026.063.4625.389————
HABNNData Normalization=non-normalized2025.123.81—————
DRLEMethod Class=ID-GVI2023.054.01—————
TAGIData Normalization=non-normalized2025.124.8—————
SVIData Normalization=non-normalized2025.125.38—————
KBNNData Normalization=non-normalized2025.128.24—————
PBPData Normalization=non-normalized2025.1221.64—————
LaplaceData Normalization=non-normalized2025.124,324—————
DropoutData Normalization=non-normalized2025.1215,558—————
MSEOptimizer=Adam2026.02—0.95————