We have developed a new estimator for manifold dimension estimation based on the concentration phenomenon, called ESS. An article reviewing this estimator as well as other estimators have been submitted. I developed an ealier version of the ESS estimator in my Master's Thesis.

I have written several R packages for intrinsic dimension estimation based our as well as other's methods.

• essde - Dimension estimation from expected simplex skewness (ESS). R package, source, documentation.
• distde - Dimension estimation using distribution of distances. R package, source, documentation.
• lpcade - Dimension estimation using local PCA. R package, source, documentation.
• dancode - Dimension estimation using angle and norm concentration. R package, source, documentation.
• manifgen - Synthetic data generation. R package, source, documentation.