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Linear regression research benchmarks – Page 2 · SOTA2 Research

Linear regression

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Boston housing data

0Covariance Error

16

Jun 2, 2026

0.025Time (s)

16

Mar 19, 2026

0.372Time (s)

16

Mar 19, 2026

0.273Time (s)

16

Mar 19, 2026

Superconductivity 60

Almost Minimal Repair

6.5Time (s)

16

Mar 19, 2026

Superconductivity 40

14.08Time (s)

16

Mar 19, 2026

Superconductivity 20

11.76Time (s)

16

Mar 19, 2026

Concrete 60% MNAR

0.025Time (s)

16

Mar 19, 2026

0.171Time (s)

16

Mar 19, 2026

0.259Time (s)

16

Mar 19, 2026

Superconductivity (60% MNAR)

0.009Time (s)

16

Mar 19, 2026

Superconductivity 40% MNAR

9.86Time (s)

16

Mar 19, 2026

Superconductivity 20% MNAR

11.76Time (s)

16

Mar 19, 2026

Linear Regression Identity Covariance

Sketched Newton Method

100Covariance Capture (%)

15

Apr 14, 2026

Toeplitz Σ (n=10^5, d=200)

97.37Covariance (%)

15

Apr 1, 2026

Toeplitz Σ (n=10^5, d=20)

95.84Covariance (%)

15

Apr 1, 2026

Toeplitz Σ n=10^5, d=5

95.84Covariance

15

Apr 1, 2026

Synthetic Linear Regression Rotation theta = 9/20*pi

1.29MSE

12

Jun 15, 2026

Synthetic Linear Regression Rotation theta = 1/3*pi

1.12MSE

12

Jun 15, 2026

Synthetic Linear Regression Rotation theta = pi/6

1.3MSE

12

Jun 15, 2026

Synthetic Data (test)

0.017MSE

12

May 21, 2026

Law School Success (test)

0.862MSE

12

Feb 26, 2026

Linear Regression

Robust Posterior

0.635Expected Log Predictive Density

10

Mar 17, 2026

33.26Test MSE

8

Feb 26, 2026

California Housing

1.02PMSE

6

May 20, 2026

Page 2 of 3

Popular datasets

Superconductivity GAS Concrete Linear Regression Synthetic Linear Regression

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