Speed comparison

Question

How fast is robustcov compared with common sklearn covariance baselines?

Design

This benchmark uses a representative classical contamination setting and compares robustcov FastMCD, Tyler-family estimators, sklearn empirical covariance, and sklearn MinCovDet. Empirical covariance is included as a non-robust lower-bound reference; the most meaningful robust comparison is robustcov FastMCD versus sklearn MinCovDet.

Timing table

Speed comparison

method

median_seconds

min_seconds

max_seconds

robustcov FastMCD

0.023761

0.023498

0.024421

robustcov TylerShape

0.001889

0.001869

0.002081

robustcov RegTyler

0.001691

0.001674

0.001742

sklearn EmpiricalCovariance

0.000202

0.000172

0.000817

sklearn MinCovDet

0.191902

0.190605

0.193694

Plot

Speed comparison plot

Interpretation

FastMCD is the package’s classical robust-covariance workhorse. The speed benchmark shows why it is worth keeping even though the newer heavy-tail estimators are the main small-sample differentiator. When users have separable contamination and \(n \gg p\), FastMCD is easy to explain, fast, and compatible with robust-distance anomaly diagnostics.

Run it yourself

python benchmarks/speed_estimators.py --n 2000 --p 10 --repeat 5 --quality fast --csv results/speed.csv
python examples/plot_speed_comparison.py --input results/speed.csv --output results/speed.png