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Regression on Boston UCI (test)

0.2RMSELA-BNN
-0.022441.479032.98054.48197Feb 16, 2021Jan 7, 2022Nov 29, 2022Oct 21, 2023Sep 10, 2024Aug 2, 2025Jun 24, 2026

Evaluation results

MethodLinks
LA-BNN2026.040.2——————————46————
LA-TNKM2026.040.63——————————5————
SP-BTN2026.040.77——————————13————
MF-BTN2026.041.02——————————5————
KSIVIruns=102026.012.555——————2.506————————
NE-GMM2026.032.556———————————————
SIVIruns=102026.012.621——————2.481————————
VSD2021.022.64———————————————
VSD2023.062.64———————————————
Ensemble-NN2026.032.676———————————————
VMG2021.022.7———————————————
MDN2026.032.766———————————————
SVGDType=Baselines2026.062.776——————2.492————————
SIVI-SMruns=102026.012.785——————2.542————————
MCD2021.022.83———————————————
MCD2023.062.83———————————————
β-NLL2026.032.836———————————————
SampleNet2026.032.856———————————————
SGLDruns=102026.012.857——————3.094————————
ETD-SR-Mom (IS)Type=Score-guided, Importance Sampling=true2026.062.895——————2.495————————
ETD-SR-MomType=Score-guided2026.062.913——————2.498————————
SGLDType=Baselines2026.062.938——————2.513————————
MNF2021.022.98———————————————
VD2021.022.98———————————————
ETD-SR-Maha (IS)Type=Score-guided, Importance Sampling=true2026.063.006——————2.53————————
GPR + HMCM (Number of inducing points)=N/A (Full GP), q(theta) (Posterior approximation configuration)=-2022.113.049———————————————
ETD-BAL-MomType=Score-free2026.063.115——————2.625————————
NGBoost2026.033.13———————————————
ETD-UB-MomType=Score-free2026.063.186——————2.621————————
ETD-BAL-EucType=Score-free2026.063.186——————2.625————————
SLANG2021.023.21———————————————
D.E2021.023.28———————————————
JointHMCM (Number of inducing points)=100, q(theta) (Posterior approximation configuration)=free-form2022.113.28———————————————
SGPR + HMCM (Number of inducing points)=100, q(theta) (Posterior approximation configuration)=free-form2022.113.286———————————————
SGPRM (Number of inducing points)=100, q(theta) (Posterior approximation configuration)=delta2022.113.291———————————————
BBB2021.023.43———————————————
PCA+ESSmode=SI2023.063.453———————————————
PCA+VImode=SI2023.063.457———————————————
CIBERpartition=LAST2023.063.478———————————————
CIBERpartition=SECOND2023.063.488———————————————
SGD2023.063.504———————————————
SWAG2023.063.517———————————————
SVGPM (Number of inducing points)=100, q(theta) (Posterior approximation configuration)=delta2022.113.619———————————————
FBGPM (Number of inducing points)=100, q(theta) (Posterior approximation configuration)=free-form (Z, theta)2022.113.845———————————————
AGF-SVGDType=Baselines2026.065.761——————3.419————————
BBBN=506, D=132026.04———————2.76————————
Bethe-Diaginference_cost=single-pass, backbone=single hidden layer of width H = 50, tanh activations2026.05———————2.806————————
Bethe-FGinference_cost=single-pass, backbone=single hidden layer of width H = 50, tanh activations2026.05———————2.843————————
Bethe-Obsbackbone=single hidden layer of width H = 50, tanh activations2026.05———————2.86————————
CCL2023.05——0.110.341.15.390—————————
CQR2023.05——0.0490.240.727.182—————————
Deep Ensembleinference_cost=multi-pass, ensemble_size=5, backbone=single hidden layer of width H = 50, tanh activations2026.05———————2.716————————
DeepEnsemble2023.05——0.060.2718.590—————————
DGPdepth=22021.07—-2.42——————————————
DGPdepth=32021.07—-2.41——————————————
DGPdepth=42021.07—-2.41——————————————
DGPdepth=52021.07—-2.44——————————————
DGP2023.05——0.110.361.14.675—————————
DGP2026.05—-1.18——————————0.46———
DIWPdepth=42021.07—-2.4——————————————
DKL2026.05—-0.42——————————0.13———
DWPdepth=22021.07—-2.39——————————————
DWPdepth=32021.07—-2.38——————————————
DWPdepth=42021.07—-2.38——————————————
DWPdepth=52021.07—-2.39——————————————
Ensemble-NNprediction interval=95%, evaluation=average of 20 train-test splits2026.03————————82.5———————
Evidential2025.05—————————————93.63——
EXACT GPN=506, D=132026.04———————2.46————————
FBNNalpha=0.52026.06———————3.46——————6.4—
FSP-LAPLACE2024.07—-0.641——————————————
FTIPalpha=0.52026.06———————2.64——————17—
FVI2024.07—-0.512——————————————
FVIN=506, D=132026.04———————2.33————————
GP2024.07—-1.136——————————————
GP-RBFtype=non-parametric2026.05———————3.244————————
GWI-DNNN=506, D=132026.04———————2.27————————
HNN2023.05——0.0650.250.968.988—————————
ISR2023.05——0.0570.270.957.988—————————
KSPCA-GP2026.05—-0.99——————————0.38———
LA-BNN2026.04—————————10014.99—————
LA-BNNN=506, D=132026.04———————2.1————————
LA-TNKM2026.04—————————902.07—————
LA-TNKMN=506, D=132026.04———————0.95————————
LAPLACE2024.07—-0.733——————————————
Laplace-Fullinference_cost=single-pass, backbone=single hidden layer of width H = 50, tanh activations2026.05———————2.721————————
MAP2024.07—-0.906——————————————
MAPinference_cost=single-pass, backbone=single hidden layer of width H = 50, tanh activations2026.05———————2.748————————
MAQR2023.05——0.0510.251.19.188—————————
MC Dropoutinference_cost=multi-pass, samples=50, backbone=single hidden layer of width H = 50, tanh activations2026.05———————3.176————————
MC-Dropout2025.05—————————————94.02——
MCDrop2023.05——0.140.221.98.695—————————
MDNprediction interval=95%, evaluation=average of 20 train-test splits2026.03————————89.5———————
MF-BTN2026.04—————————933.9—————
MF-BTNN=506, D=132026.04———————1.45————————
MFVIalpha=0.52026.06———————3.62——————5.3—
MMD2023.05——0.180.411.31097—————————
MVEObjective Function=beta_NLL = 1.02025.05—————————————94.51——
MVEObjective Function=Natural2025.05—————————————93.24——
MVEInference Family=Ensembles2025.05—————————————93.43——
MVEInference Family=BBB2025.05—————————————15.98——