Scale adaptive and robust intrinsic dimension estimation via optimal neighbourhood identification
stat.ML, cs.LG, math.ST, stat.CO, stat.ME, stat.TH
Submitted: 2024-05-24
Updated: 2026-07-28
Journal ref: Sci. Rep. 16 (2026) 18559
DOI: 10.1038/s41598-026-48005-4
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
Sources
- An Overview of Low-Rank Structures in the Training and Adaptation of Large Models
- Estimating a density near an unknown manifold: a Bayesian nonparametric approach
- A Statistical Analysis for Supervised Deep Learning with Exponential Families for Intrinsically Low-dimensional Data
- Generalization Bounds for Rank-sparse Neural Networks
- UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction
- The Intrinsic Dimension of Images and Its Impact on Learning
- Nonparametric regression on random geometric graphs sampled from submanifolds
- Adaptive Bayesian Regression on Data with Low Intrinsic Dimensionality
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