Outlier Detection with the Kernelized Spatial Depth Function

No abstract is available for this paper.

• Publication year

  2009

• Venue

  IEEE Transactions on Pattern Analysis and Machine Intelligence

• Publication date

  2009-02-01

• Fields of study

  Mathematics, Computer Science, Medicine

• Identifiers
  DOI 10.1109/TPAMI.2008.72PMID 19110494
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Nonparametric depth-based multivariate outlier identifiers, and masking robustness properties

  2010cited by this paper
• Multivariate spatial U-quantiles: A Bahadur–Kiefer representation, a Theil–Sen estimator for multiple regression, and a robust dispersion estimator

  2008cited by this paper
• Digital image processing, 3rd Edition

  2008cited by this paper
• Distance-based detection and prediction of outliers

  2006cited by this paper
• A unifying framework for detecting outliers and change points from time series

  2006cited by this paper
• An Experimental Study of Old and New Depth Measures

  2006cited by this paper
• Outlier detection by active learning

  2006cited by this paper
• Finding Unusual Medical Time-Series Subsequences: Algorithms and Applications

  2006cited by this paper
• Nonparametric Depth-Based Multivariate Outlier Identifiers , and Robustness Properties

  2006cited by this paper
• A system for learning statistical motion patterns

  2006cited by this paper
• Combining reconstructive and discriminative subspace methods for robust classification and regression by subsampling

  2006cited by this paper
• Robust regression of scattered data with adaptive spline-wavelets

  2006cited by this paper
• A Neural Network-Based Novelty Detector for Image Sequence Analysis

  2006cited by this paper
• A support vector method for anomaly detection in hyperspectral imagery

  2006cited by this paper
• SAXually Explicit Images: Finding Unusual Shapes

  2006cited by this paper
• Kernel RX-algorithm: a nonlinear anomaly detector for hyperspectral imagery

  2005cited by this paper
• On Maximum Depth and Related Classifiers

  2005cited by this paper
• Evolutionary neural networks for anomaly detection based on the behavior of a program

  2005cited by this paper
• A cluster-based approach for detecting man-made objects and changes in imagery

  2005cited by this paper
• Training genetic programming on half a million patterns: an example from anomaly detection

  2005cited by this paper
• Feature bagging for outlier detection

  2005cited by this paper
• Evolutionary neural networks for anomaly detection based on the behavior of a program

  2005cited by this paper
• On data depth and distribution-free discriminant analysis using separating surfaces

  2005cited by this paper
• A Classification Framework for Anomaly Detection

  2005cited by this paper
• A computational framework for taxonomic research: diagnosing body shape within fish species complexes

  2005cited by this paper
• Statistical analysis of network traffic for adaptive faults detection

  2005cited by this paper
• Robust Regression and Outlier Detection

  2005cited by this paper
• Tutorial on Practical Prediction Theory for Classification

  2005cited by this paper
• Kernel Methods for Pattern Analysis

  2004cited by this paper
• On local spatial outliers

  2004cited by this paper
• Clustering and classification based on the L 1 data depth

  2004cited by this paper
• A Mixture Model and EM-Based Algorithm for Class Discovery, Robust Classification, and Outlier Rejection in Mixed Labeled/Unlabeled Data Sets

  2003cited by this paper
• Efficient Biased Sampling for Approximate Clustering and Outlier Detection in Large Data Sets

  2003cited by this paper
• Novelty detection: a review - part 2: : neural network based approaches

  2003cited by this paper
• Novelty detection: a review - part 1: statistical approaches

  2003cited by this paper
• Anomaly detection in IP networks

  2003cited by this paper
• Enhancing Effectiveness of Outlier Detections for Low Density Patterns

  2002cited by this paper
• Classes of Kernels for Machine Learning: A Statistics Perspective

  2002cited by this paper
• Network intrusion and fault detection: a statistical anomaly approach

  2002cited by this paper
• A Depth Function and a Scale Curve Based on Spatial Quantiles

  2002influential reference
• Constructing Boosting Algorithms from SVMs: An Application to One-Class Classification

  2002cited by this paper
• Estimating the Support of a High-Dimensional Distribution

  2001cited by this paper
• Landmark coordinates aligned by procrustes analysis do not lie in Kendall's shape space.

  2001cited by this paper
• Learning Patterns of Activity Using Real-Time Tracking

  2000cited by this paper
• LOF: identifying density-based local outliers

  2000cited by this paper
• Ecological character displacement in Plethodon: biomechanical differences found from a geometric morphometric study.

  2000influential reference
• Anomaly Detection over Noisy Data using Learned Probability Distributions

  2000cited by this paper
• The multivariate L1-median and associated data depth.

  2000cited by this paper
• Efficient algorithms for mining outliers from large data sets

  2000cited by this paper
• A Linear Programming Approach to Novelty Detection

  2000cited by this paper
• General notions of statistical depth function

  2000cited by this paper
• Hyperspectral imagery: Clutter adaptation in anomaly detection

  2000cited by this paper
• Robust Recognition Using Eigenimages

  2000cited by this paper
• The Nature of Statistical Learning Theory

  2000cited by this paper
• A Fast Algorithm for the Minimum Covariance Determinant Estimator

  1999cited by this paper
• A multiscale hypothesis testing approach to anomaly detection and localization from noisy tomographic data

  1998cited by this paper
• Parametric Model Fitting: From Inlier Characterization to Outlier Detection

  1998cited by this paper
• Algorithms for Mining Distance-Based Outliers in Large Datasets

  1998influential reference
• Bivariate location depth

  1996cited by this paper
• Statistical Independence and Novelty Detection with Information Preserving Nonlinear Maps

  1996cited by this paper
• On a geometric notion of quantiles for multivariate data

  1996cited by this paper
• Identification of Outliers in Multivariate Data

  1996cited by this paper
• Computing depth contours of bivariate point clouds

  1996cited by this paper
• Pattern Recognition and Neural Networks

  1995cited by this paper
• A Probabilistic Resource Allocating Network for Novelty Detection

  1994cited by this paper
• Fast Very Robust Methods for the Detection of Multiple Outliers

  1994cited by this paper
• Alternatives to the Median Absolute Deviation

  1993cited by this paper
• Multivariate location estimation using extension of R-estimates through U-statistics type approach

  1992cited by this paper
• Euclidean distance matrix analysis: a coordinate-free approach for comparing biological shapes using landmark data.

  1991cited by this paper
• On a Notion of Data Depth Based on Random Simplices

  1990cited by this paper
• A Survey of Multidimensional Medians

  1990cited by this paper
• Adaptive multiple-band CFAR detection of an optical pattern with unknown spectral distribution

  1990cited by this paper
• Identification of Outliers

  1988cited by this paper
• SHAPE MANIFOLDS, PROCRUSTEAN METRICS, AND COMPLEX PROJECTIVE SPACES

  1984cited by this paper
• Digital image processing

  1980cited by this paper
• Outliers in Statistical Data

  1979cited by this paper
• Mathematics and the Picturing of Data

  1975cited by this paper
• Generalized procrustes analysis

  1975cited by this paper

• Product Depth for Temporal Point Processes Observed Only Up to the First k Events

  2025cites this paper
• seMCD: Sequentially implemented Monte Carlo depth computation with statistical guarantees

  2025cites this paper
• $\beta$-integrated local depth and corresponding partitioned local depth representation

  2025cites this paper
• Monge-Kantorovich Quantiles and Ranks for Image Data

  2025cites this paper
• Model-Free Kernel Conformal Depth Measures Algorithm for Uncertainty Quantification in Regression Models in Separable Hilbert Spaces

  2025cites this paper
• On the use of the M-quantiles for outlier detection in multivariate data

  2024influential citation
• Consistency and Complementarity Jointly Regularized Subspace Support Vector Data Description for Multimodal Data

  2024cites this paper
• Conformal uncertainty quantification using kernel depth measures in separable Hilbert spaces

  2024cites this paper
• Asymptotic normality of a modified estimator of Gini distance correlation

  2024cites this paper
• Fast kernel half-space depth for data with non-convex supports

  2023cites this paper
• Some Methods for Detecting Outliers

  2023cites this paper
• Resilience Analysis of Container Port Networks based on Motif Dynamics

  2023cites this paper
• Easy Maximum Empirical Likelihood Estimation of Linear Functionals Of A Probability Measure With Infinitely Many Constraints

  2023cites this paper
• PAACDA: Comprehensive Data Corruption Detection Algorithm

  2023cites this paper
• Kernel Random Projection Depth for Outlier Detection

  2023cites this paper
• Spatial depth for data in metric spaces

  2023cites this paper
• A Halfspace-Mass Depth-Based Method for Adversarial Attack Detection

  2023cites this paper
• Can language models automate data wrangling?

  2022cites this paper
• A new approach for removing point cloud outliers using box plot

  2022cites this paper
• Explainable machine learning in image classification models: An uncertainty quantification perspective

  2022cites this paper
• Multivariate quantiles with both overall and directional probability interpretation

  2022cites this paper
• An integrated local depth measure

  2022influential citation
• Improved DBSCAN-based Data Anomaly Detection Approach for Battery Energy Storage Stations

  2022cites this paper
• Proactive safety monitoring: A functional approach to detect safety-related anomalies using unmanned aerial vehicle video data

  2021cites this paper
• Differentially private depth functions and their associated medians

  2021cites this paper
• Global Plus Local Jointly Regularized Support Vector Data Description for Novelty Detection

  2021influential citation
• Depth classification based on affine-invariant, weighted and kernel-based spatial depth functions

  2021cites this paper
• Data reduction based on NN-kNN measure for NN classification and regression

  2021cites this paper
• Choosing Among Notions of Multivariate Depth Statistics

  2020influential citation
• Spatio-Temporal Outlier Detection: A Survey of Methods

  2020cites this paper
• Outlier detection in non-elliptical data by kernel MRCD

  2020influential citation
• Robust stochastic configuration network multi-output modeling of molten iron quality in blast furnace ironmaking

  2020cites this paper
• Data analytics for mobile traffic in 5G networks using machine learning techniques

  2020influential citation
• Simulation Study using Average Difference Algorithm to Analyze the Outlierness Degree of Spatial Observations

  2020cites this paper
• Dirichlet depths for point process

  2019cites this paper
• One‐class classification with application to forensic analysis

  2019cites this paper
• Retrieved Image Refinement by Bootstrap Outlier Test

  2019cites this paper
• Using hybrid weighting‐clustering approach for regional frequency analysis of maximum 24‐hr rainfall based on climatic, geographical, and statistical attributes

  2019cites this paper
• Depth based inference on conditional distribution with infinite dimensional data.

  2019cites this paper
• Classification of Mobile Services and Apps through Physical Channel Fingerprinting: a Deep Learning Approach

  2019influential citation
• Multivariate outlier detection based on a robust Mahalanobis distance with shrinkage estimators

  2019cites this paper
• A Suspected Noise Filtering Method Using k NN for Robust Classification

  2019cites this paper
• Mobile Traffic Classification Through Physical Control Channel Fingerprinting: A Deep Learning Approach

  2019cites this paper
• Depth-based weighted jackknife empirical likelihood for non-smooth U-structure equations

  2019cites this paper
• Unsupervised Scalable Statistical Method for Identifying Influential Users in Online Social Networks

  2018cites this paper
• Weight-based method for inside outlier detection

  2018cites this paper
• Spatial Expectation Mechanism Framework for Micro Array Analysis

  2018cites this paper
• Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with applications

  2018cites this paper
• On maximum depth classifiers: depth distribution approach

  2018cites this paper
• Combine Value Clustering and Weighted Value Coupling Learning for Outlier Detection in Categorical Data

  2018cites this paper
• Adaptive Exponential Power Depth with Application to Classification

  2018cites this paper
• Indirect Gaussian kernel parameter optimization for one-class SVM in fault detection

  2018influential citation
• Indirect Gaussian kernel parameter optimization for one-class SVM in fault detection

  2018cites this paper
• On Nonparametric Regression using Data Depth

  2017cites this paper
• Machine learning in a setting of ordinal distance information

  2017influential citation
• Discussion

  2017influential citation
• Multiple Kernel Sphere with Large Margin for Novelty Detection

  2017cites this paper
• A heuristic approach for observing outlying points in diabetes data set

  2017cites this paper
• Native Patterns Identification using Hyperrectangles

  2017cites this paper
• Identifying Outliers in Complex Categorical Data by Modelling the Feature Value Couplings

  2017cites this paper
• A Novel Statistical Pre-processing Based Spatial Anomaly Detection Model on Cyclone Dataset

  2017cites this paper
• Identifying Extreme Observations, Outliers and Noise in Clinical and Genetic Data

  2017cites this paper
• Anomaly detection based on a dynamic Markov model

  2017cites this paper
• Monotonicity properties of spatial depth

  2017cites this paper
• A Survey on Cluster Based Outlier Detection Techniques in Data Stream

  2016cites this paper
• An improved clustering algorithm based on density and shared nearest neighbor

  2016cites this paper
• Semisupervised Based Spatial EM Structure for Microarray Analysis

  2016cites this paper
• Global and local functional depths

  2016cites this paper
• Clustering multivariate and functional data using spatial rank functions

  2016cites this paper
• Online Anomaly Detection Under Markov Statistics With Controllable Type-I Error

  2016cites this paper
• Algorithmes stochastiques pour la statistique robuste en grande dimension

  2016cites this paper
• $L^{p}$ and almost sure rates of convergence of averaged stochastic gradient algorithms with applications to online robust estimation

  2016cites this paper
• Lens Depth Function and k-Relative Neighborhood Graph: Versatile Tools for Ordinal Data Analysis

  2016influential citation
• Outlier Detection in Complex Categorical Data by Modeling the Feature Value Couplings

  2016cites this paper
• An Empirical Comparison of Global and Local Functional Depths

  2016cites this paper
• Lp and almost sure rates of convergence of averaged stochastic gradient algorithms: locally strongly convex objective

  2016cites this paper
• Robust Model-based Learning: Methods, Algorithms and Applications

  2015cites this paper
• Multi-scale Classification using Localized Spatial Depth

  2015cites this paper
• Hyperparameter Selection for Gaussian Process One-Class Classification

  2015cites this paper
• Robust Model-Based Learning via Spatial-EM Algorithm

  2015cites this paper
• Parameter Selection of Gaussian Kernel for One-Class SVM

  2015cites this paper
• Outlier detection based on transitive closure

  2015cites this paper
• Delineation of homogeneous regions for regional frequency analysis using statistical depth function.

  2015cites this paper
• Approches flexibles et optimales en analyse fréquentielle régionale des crues en se basant sur les fonctions de profondeur.

  2015cites this paper
• Multi-scale Classification using Localized Spatial Depth

  2015cites this paper
• Semi-supervised and unsupervised kernel-based novelty detection with application to remote sensing images

  2014cites this paper
• Model selection of Gaussian kernel PCA for novelty detection

  2014cites this paper
• Segmentation And Spatial Depth Ridge Detection Of Unorganized Point Cloud Data

  2014cites this paper
• An experimental evaluation of novelty detection methods

  2014cites this paper
• Functional outlier detection by a local depth with application to NOx levels

  2014influential citation
• Monge-Kantorovich Depth, Quantiles, Ranks and Signs

  2014cites this paper
• Multiple kernel sphere with large margin for novelty detection

  2014cites this paper
• A Clustering Approach to Industrial Network Intrusion Detection A Clustering Approach to Industrial Network Intrusion Detection

  2014cites this paper
• Robust Finite Mixture Learning and its Application to Taxonomic Research

  2013cites this paper
• Contributions to nonparametric and semiparametric inference based on statistical depth

  2013cites this paper
• On-line outlier and change point detection for time series

  2013cites this paper
• From Depth to Local Depth: A Focus on Centrality

  2013cites this paper
• Depth functions as measures of representativeness

  2013cites this paper
• Kernel-Based Learning for Statistical Signal Processing in Cognitive Radio Networks: Theoretical Foundations, Example Applications, and Future Directions

  2013cites this paper
• On a new class of data depths for measuring representativeness

  2013cites this paper