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ResearchFormerly WizWand

Linear Regression on Synthetic Multi-task Linear Regression (n=d=50, K=40, epsilon=0.2)

0.178Global Error (L2-norm)JRGE
0.130760.449630.76851.08737Jul 2, 2026
Updated 3mo ago

Evaluation results

MethodLinks
JRGEHeterogeneity variance (sigma^2)=02026.070.178
MoM-FilteringHeterogeneity variance (sigma^2)=02026.070.211
FilteringHeterogeneity variance (sigma^2)=02026.070.244
JRGEHeterogeneity variance (sigma^2)=0.52026.070.251
BulyanHeterogeneity variance (sigma^2)=02026.070.291
MoM-FilteringHeterogeneity variance (sigma^2)=0.52026.070.297
JRGEHeterogeneity variance (sigma^2)=12026.070.306
HistoryHeterogeneity variance (sigma^2)=02026.070.334
FilteringHeterogeneity variance (sigma^2)=0.52026.070.343
JRGEHeterogeneity variance (sigma^2)=1.52026.070.352
MoM-FilteringHeterogeneity variance (sigma^2)=12026.070.363
ARMULHeterogeneity variance (sigma^2)=02026.070.39
JRGEHeterogeneity variance (sigma^2)=22026.070.393
BulyanHeterogeneity variance (sigma^2)=0.52026.070.404
MedianHeterogeneity variance (sigma^2)=02026.070.414
FilteringHeterogeneity variance (sigma^2)=12026.070.414
MoM-FilteringHeterogeneity variance (sigma^2)=1.52026.070.417
JRGEHeterogeneity variance (sigma^2)=2.52026.070.43
JRGEHeterogeneity variance (sigma^2)=32026.070.464
MoM-FilteringHeterogeneity variance (sigma^2)=22026.070.466
HistoryHeterogeneity variance (sigma^2)=0.52026.070.467
FilteringHeterogeneity variance (sigma^2)=1.52026.070.478
BulyanHeterogeneity variance (sigma^2)=12026.070.486
Trimmed meanHeterogeneity variance (sigma^2)=02026.070.505
MoM-FilteringHeterogeneity variance (sigma^2)=2.52026.070.51
JRGEHeterogeneity variance (sigma^2)=42026.070.526
FilteringHeterogeneity variance (sigma^2)=22026.070.529
MoM-FilteringHeterogeneity variance (sigma^2)=32026.070.548
MoM-KrumHeterogeneity variance (sigma^2)=02026.070.556
BulyanHeterogeneity variance (sigma^2)=1.52026.070.567
HistoryHeterogeneity variance (sigma^2)=12026.070.568
FilteringHeterogeneity variance (sigma^2)=2.52026.070.576
JRGEHeterogeneity variance (sigma^2)=52026.070.581
MedianHeterogeneity variance (sigma^2)=0.52026.070.594
MoM-FilteringHeterogeneity variance (sigma^2)=42026.070.621
FilteringHeterogeneity variance (sigma^2)=32026.070.624
JRGEHeterogeneity variance (sigma^2)=62026.070.631
BulyanHeterogeneity variance (sigma^2)=22026.070.634
HistoryHeterogeneity variance (sigma^2)=1.52026.070.653
BucketingHeterogeneity variance (sigma^2)=02026.070.657
JRGEHeterogeneity variance (sigma^2)=72026.070.677
MoM-FilteringHeterogeneity variance (sigma^2)=52026.070.686
BulyanHeterogeneity variance (sigma^2)=2.52026.070.688
FilteringHeterogeneity variance (sigma^2)=42026.070.708
JRGEHeterogeneity variance (sigma^2)=82026.070.721
Trimmed meanHeterogeneity variance (sigma^2)=0.52026.070.725
MedianHeterogeneity variance (sigma^2)=12026.070.726
HistoryHeterogeneity variance (sigma^2)=22026.070.729
BulyanHeterogeneity variance (sigma^2)=32026.070.744
MoM-FilteringHeterogeneity variance (sigma^2)=62026.070.745
MoM-KrumHeterogeneity variance (sigma^2)=0.52026.070.773
FilteringHeterogeneity variance (sigma^2)=52026.070.787
HistoryHeterogeneity variance (sigma^2)=2.52026.070.797
MoM-FilteringHeterogeneity variance (sigma^2)=72026.070.801
ARMULHeterogeneity variance (sigma^2)=0.52026.070.826
MedianHeterogeneity variance (sigma^2)=1.52026.070.834
BulyanHeterogeneity variance (sigma^2)=42026.070.841
FilteringHeterogeneity variance (sigma^2)=62026.070.845
BucketingHeterogeneity variance (sigma^2)=0.52026.070.848
MoM-FilteringHeterogeneity variance (sigma^2)=82026.070.852
HistoryHeterogeneity variance (sigma^2)=32026.070.86
Trimmed meanHeterogeneity variance (sigma^2)=12026.070.886
FilteringHeterogeneity variance (sigma^2)=72026.070.912
BulyanHeterogeneity variance (sigma^2)=52026.070.922
MedianHeterogeneity variance (sigma^2)=22026.070.929
MoM-KrumHeterogeneity variance (sigma^2)=12026.070.941
FilteringHeterogeneity variance (sigma^2)=82026.070.962
HistoryHeterogeneity variance (sigma^2)=42026.070.973
KrumHeterogeneity variance (sigma^2)=02026.070.991
BulyanHeterogeneity variance (sigma^2)=62026.070.999
ARMULHeterogeneity variance (sigma^2)=12026.071.007
MedianHeterogeneity variance (sigma^2)=2.52026.071.017
Trimmed meanHeterogeneity variance (sigma^2)=1.52026.071.021
BucketingHeterogeneity variance (sigma^2)=12026.071.03
MoM-KrumHeterogeneity variance (sigma^2)=1.52026.071.072
HistoryHeterogeneity variance (sigma^2)=52026.071.074
BulyanHeterogeneity variance (sigma^2)=72026.071.075
MedianHeterogeneity variance (sigma^2)=32026.071.1
ARMULHeterogeneity variance (sigma^2)=1.52026.071.101
Trimmed meanHeterogeneity variance (sigma^2)=22026.071.14
BulyanHeterogeneity variance (sigma^2)=82026.071.155
HistoryHeterogeneity variance (sigma^2)=62026.071.167
ARMULHeterogeneity variance (sigma^2)=22026.071.18
MoM-KrumHeterogeneity variance (sigma^2)=22026.071.182
BucketingHeterogeneity variance (sigma^2)=1.52026.071.186
ARMULHeterogeneity variance (sigma^2)=2.52026.071.219
MedianHeterogeneity variance (sigma^2)=42026.071.245
Trimmed meanHeterogeneity variance (sigma^2)=2.52026.071.248
HistoryHeterogeneity variance (sigma^2)=72026.071.253
ARMULHeterogeneity variance (sigma^2)=32026.071.27
MoM-KrumHeterogeneity variance (sigma^2)=2.52026.071.293
ARMULHeterogeneity variance (sigma^2)=42026.071.308
ARMULHeterogeneity variance (sigma^2)=52026.071.323
BucketingHeterogeneity variance (sigma^2)=22026.071.323
HistoryHeterogeneity variance (sigma^2)=82026.071.333
ARMULHeterogeneity variance (sigma^2)=62026.071.336
KrumHeterogeneity variance (sigma^2)=0.52026.071.346
Trimmed meanHeterogeneity variance (sigma^2)=32026.071.347
ARMULHeterogeneity variance (sigma^2)=72026.071.348
ARMULHeterogeneity variance (sigma^2)=82026.071.359