HomID: Benchmarking Intrinsic Dimension Estimators on Homogenous Manifolds with Anisotropic Embeddings
This study introduces QuIIEst, a benchmark of complex, topologically non-trivial manifolds with known intrinsic dimensions to rigorously test existing intrinsic dimension estimation methods. The results show that current methods perform less accurately on these challenging manifolds compared to simpler benchmarks, highlighting the need for more robust evaluation tools.