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Linear Regression on Synthetic Linear Regression (n=50, d=50, K=40, ε=0.2) (train/test)

0.211Average Local ErrorMoM-Filtering
0.14420.59511.0461.4969Jul 2, 2026
Updated 3mo ago

Evaluation results

MethodLinks
MoM-Filteringheterogeneity variance (σ²)=02026.070.211
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=02026.070.219
Filteringheterogeneity variance (σ²)=02026.070.244
Bulyanheterogeneity variance (σ²)=02026.070.291
Historyheterogeneity variance (σ²)=02026.070.334
ARMULheterogeneity variance (σ²)=02026.070.389
Medianheterogeneity variance (σ²)=02026.070.414
Trimmed meanheterogeneity variance (σ²)=02026.070.505
MoM-Krumheterogeneity variance (σ²)=02026.070.556
Bucketingheterogeneity variance (σ²)=02026.070.657
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=0.52026.070.688
MoM-Filteringheterogeneity variance (σ²)=0.52026.070.742
Filteringheterogeneity variance (σ²)=0.52026.070.761
Bulyanheterogeneity variance (σ²)=0.52026.070.792
Historyheterogeneity variance (σ²)=0.52026.070.824
ARMULheterogeneity variance (σ²)=0.52026.070.855
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=12026.070.869
Medianheterogeneity variance (σ²)=0.52026.070.902
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=1.52026.070.989
Krumheterogeneity variance (σ²)=02026.070.991
Trimmed meanheterogeneity variance (σ²)=0.52026.070.993
MoM-Filteringheterogeneity variance (σ²)=12026.071.029
MoM-Krumheterogeneity variance (σ²)=0.52026.071.032
Filteringheterogeneity variance (σ²)=12026.071.047
ARMULheterogeneity variance (σ²)=12026.071.061
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=22026.071.079
Bulyanheterogeneity variance (σ²)=12026.071.079
Bucketingheterogeneity variance (σ²)=0.52026.071.086
RLRMTLheterogeneity variance (σ²)=02026.071.103
Historyheterogeneity variance (σ²)=12026.071.116
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=2.52026.071.154
ARMULheterogeneity variance (σ²)=1.52026.071.197
Medianheterogeneity variance (σ²)=12026.071.205
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=32026.071.217
MoM-Filteringheterogeneity variance (σ²)=1.52026.071.251
Filteringheterogeneity variance (σ²)=1.52026.071.27
Trimmed meanheterogeneity variance (σ²)=12026.071.306
Bulyanheterogeneity variance (σ²)=1.52026.071.309
ARMULheterogeneity variance (σ²)=22026.071.316
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=42026.071.324
RLRMTLheterogeneity variance (σ²)=0.52026.071.324
Historyheterogeneity variance (σ²)=1.52026.071.346
MoM-Krumheterogeneity variance (σ²)=12026.071.349
ARMULheterogeneity variance (σ²)=2.52026.071.397
Bucketingheterogeneity variance (σ²)=12026.071.408
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=52026.071.41
MoM-Filteringheterogeneity variance (σ²)=22026.071.439
Medianheterogeneity variance (σ²)=1.52026.071.443
Filteringheterogeneity variance (σ²)=22026.071.459
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=62026.071.487
ARMULheterogeneity variance (σ²)=32026.071.493
Bulyanheterogeneity variance (σ²)=22026.071.502
RLRMTLheterogeneity variance (σ²)=12026.071.506
Krumheterogeneity variance (σ²)=0.52026.071.508
Historyheterogeneity variance (σ²)=22026.071.543
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=72026.071.556
Trimmed meanheterogeneity variance (σ²)=1.52026.071.557
MoM-Krumheterogeneity variance (σ²)=1.52026.071.597
ARMULheterogeneity variance (σ²)=42026.071.603
MoM-Filteringheterogeneity variance (σ²)=2.52026.071.606
Joint Robust Gradient Estimation (JRGE)heterogeneity variance (σ²)=82026.071.621
Filteringheterogeneity variance (σ²)=2.52026.071.625
RMTFLheterogeneity variance (σ²)=02026.071.631
Medianheterogeneity variance (σ²)=22026.071.646
RLRMTLheterogeneity variance (σ²)=1.52026.071.651
RMTFLheterogeneity variance (σ²)=0.52026.071.666
Bucketingheterogeneity variance (σ²)=1.52026.071.67
Bulyanheterogeneity variance (σ²)=2.52026.071.671
ARMULheterogeneity variance (σ²)=52026.071.683
Mean-regheterogeneity variance (σ²)=02026.071.692
RMTFLheterogeneity variance (σ²)=12026.071.695
Dirtyheterogeneity variance (σ²)=02026.071.703
Mean-regheterogeneity variance (σ²)=0.52026.071.714
Historyheterogeneity variance (σ²)=2.52026.071.716
Dirtyheterogeneity variance (σ²)=0.52026.071.721
RMTFLheterogeneity variance (σ²)=1.52026.071.722
RMTFLheterogeneity variance (σ²)=22026.071.749
MoM-Filteringheterogeneity variance (σ²)=32026.071.756
ARMULheterogeneity variance (σ²)=62026.071.758
Dirtyheterogeneity variance (σ²)=12026.071.76
Trimmed meanheterogeneity variance (σ²)=22026.071.772
RMTFLheterogeneity variance (σ²)=2.52026.071.777
Filteringheterogeneity variance (σ²)=32026.071.778
Dirtyheterogeneity variance (σ²)=1.52026.071.78
RLRMTLheterogeneity variance (σ²)=22026.071.796
RMTFLheterogeneity variance (σ²)=32026.071.802
MoM-Krumheterogeneity variance (σ²)=22026.071.806
Mean-regheterogeneity variance (σ²)=12026.071.809
Dirtyheterogeneity variance (σ²)=22026.071.813
Bulyanheterogeneity variance (σ²)=32026.071.827
Medianheterogeneity variance (σ²)=2.52026.071.828
ARMULheterogeneity variance (σ²)=72026.071.829
RMTFLheterogeneity variance (σ²)=42026.071.846
Mean-regheterogeneity variance (σ²)=1.52026.071.847
Dirtyheterogeneity variance (σ²)=2.52026.071.849
Dirtyheterogeneity variance (σ²)=32026.071.869
Single-taskheterogeneity variance (σ²)=02026.071.872
Historyheterogeneity variance (σ²)=32026.071.874
Krumheterogeneity variance (σ²)=12026.071.877
Single-taskheterogeneity variance (σ²)=0.52026.071.881