Intrinsic dimension estimation: relevant techniques and a benchmark framework
From MaRDI portal
Publication:1666523
DOI10.1155/2015/759567zbMath1395.68244OpenAlexW2170567676WikidataQ59119825 ScholiaQ59119825MaRDI QIDQ1666523
C. Ceruti, Paola Campadelli, Elena Casiraghi, Alessandro Rozza
Publication date: 27 August 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/759567
Pattern recognition, speech recognition (68T10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)
Related Items
Intrinsic dimension estimation based on local adjacency information ⋮ The role of intrinsic dimension in high-resolution player tracking data -- insights in basketball ⋮ Nonlinear multi-output regression on unknown input manifold ⋮ Local angles and dimension estimation from data on manifolds
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit theory for point processes in manifolds
- Intrinsic dimension identification via graph-theoretic methods
- Graph-theoretic measures of multivariate association and prediction
- Translated Poisson mixture model for stratification learning
- Sparsity and the possibility of inference
- Intrinsic dimension estimation of manifolds by incising balls
- Measuring the strangeness of strange attractors
- Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
- Speech dimensionality analysis on hypercubical self-organizing maps
- Data dimensionality estimation methods: A survey.
- Graph-theoretic procedures for dimension identification
- Principal component analysis.
- Central limit theorems for some graphs in computational geometry.
- An axiomatic approach to intrinsic dimension of a dataset
- Novel high intrinsic dimensionality estimators
- Fractal dimension and vector quantization
- The analysis of proximities: Multidimensional scaling with an unknown distance function: I, II
- Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
- DANCo: an intrinsic dimensionality estimator exploiting angle and norm concentration
- Inferring the eigenvalues of covariance matrices from limited, noisy data
- Towards Discovering the Intrinsic Cardinality and Dimensionality of Time Series Using MDL
- Determining Intrinsic Dimension and Entropy of High-Dimensional Shape Spaces
- The double scroll
- Mutual and shared neighbor probabilities: finite- and infinite-dimensional results
- On the number of leaves of a euclidean minimal spanning tree
- An Intrinsic Dimensionality Estimator from Near-Neighbor Information
- Asymptotic quantization error of continuous signals and the quantization dimension
- Two definitions of fractional dimension
- Stastical Estimation of the Intrinsic Dimensionality of a Noisy Signal Collection
- Probabilistic Principal Component Analysis
- On Local Intrinsic Dimension Estimation and Its Applications
- Compressive Sensing on Manifolds Using a Nonparametric Mixture of Factor Analyzers: Algorithm and Performance Bounds
- Nonlinear Intrinsic Dimensionality Computations
- Chaos in Dynamical Systems
- Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning
- Nonlinear Dimensionality Reduction
- The intrinsic dimensionality of signal collections
- An Algorithm for Finding Intrinsic Dimensionality of Data
- Computer Vision - ECCV 2004
