Novel semi-metrics for multivariate change point analysis and anomaly detection

[1]  D. Hawkins Testing a Sequence of Observations for a Shift in Location , 1977 .

[2]  A. N. PETTrrr A Non-parametric Approach to the Change-point Problem , 1979 .

[3]  Mikhail J. Atallah,et al.  A Linear Time Algorithm for the Hausdorff Distance Between Convex Polygons , 1983, Inf. Process. Lett..

[4]  Azriel Rosenfeld,et al.  Distances between fuzzy sets , 1985, Pattern Recognit. Lett..

[5]  Ron Shonkwiler,et al.  An Image Algorithm for Computing the Hausdorff Distance Efficiently in Linear Time , 1989, Inf. Process. Lett..

[6]  Daniel P. Huttenlocher,et al.  Computing the minimum Hausdorff distance for point sets under translation , 1990, SCG '90.

[7]  Günter Rote,et al.  Computing the Minimum Hausdorff Distance Between Two Point Sets on a Line Under Translation , 1991, Inf. Process. Lett..

[8]  Celso C. Ribeiro,et al.  Computing some distance functions between polygons , 1991, Pattern Recognit..

[9]  Jon M. Kleinberg,et al.  On dynamic Voronoi diagrams and the minimum Hausdorff distance for point sets under Euclidean motion in the plane , 1992, SCG '92.

[10]  A. Baddeley Errors in binary images and an $Lsp p$ version of the Hausdorff metric , 1992 .

[11]  Anil K. Jain,et al.  A modified Hausdorff distance for object matching , 1994, Proceedings of 12th International Conference on Pattern Recognition.

[12]  William Rucklidge,et al.  Locating objects using the Hausdorff distance , 1995, Proceedings of IEEE International Conference on Computer Vision.

[13]  S. Axler Linear Algebra Done Right , 1995, Undergraduate Texts in Mathematics.

[14]  Charles J. Alpert,et al.  Spectral Partitioning: The More Eigenvectors, The Better , 1995, 32nd Design Automation Conference.

[15]  Azriel Rosenfeld,et al.  On a metric distance between fuzzy sets , 1996, Pattern Recognit. Lett..

[16]  William Rucklidge,et al.  Efficient Visual Recognition Using the Hausdorff Distance , 1996, Lecture Notes in Computer Science.

[17]  Laurence Boxer,et al.  On Hausdorff-like metrics for fuzzy sets , 1997, Pattern Recognit. Lett..

[18]  Heikki Mannila,et al.  Distance measures for point sets and their computation , 1997, Acta Informatica.

[19]  R. Moeckel,et al.  Measuring the distance between time series , 1997 .

[20]  Barnabás Takács,et al.  Comparing face images using the modified Hausdorff distance , 1998, Pattern Recognit..

[21]  Jiu-lun Fan Note on Hausdorff-like metrics for fuzzy sets , 1998, Pattern Recognit. Lett..

[22]  Azriel Rosenfeld,et al.  A Modified Hausdorff Distance Between Fuzzy Sets , 1999, Inf. Sci..

[23]  Dong-Gyu Sim,et al.  Object matching algorithms using robust Hausdorff distance measures , 1999, IEEE Trans. Image Process..

[24]  E. Giné,et al.  Central limit theorems for the wasserstein distance between the empirical and the true distributions , 1999 .

[25]  Yair Weiss,et al.  Segmentation using eigenvectors: a unifying view , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[26]  Daphna Weinshall,et al.  Classification with Nonmetric Distances: Image Retrieval and Class Representation , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[27]  K. Boyer,et al.  Perceptual Organization for Artificial Vision Systems , 2000 .

[28]  Fredrik Gustafsson,et al.  Adaptive filtering and change detection , 2000 .

[29]  Klaus J. Kirchberg,et al.  Robust Face Detection Using the Hausdorff Distance , 2001, AVBPA.

[30]  Michael I. Jordan,et al.  On Spectral Clustering: Analysis and an algorithm , 2001, NIPS.

[31]  Fredrik Gustafsson,et al.  Adaptive Filtering and Change Detection: Gustafsson: Adaptive , 2001 .

[32]  Touradj Ebrahimi,et al.  MESH: measuring errors between surfaces using the Hausdorff distance , 2002, Proceedings. IEEE International Conference on Multimedia and Expo.

[33]  Peter Braß On the nonexistence of Hausdorff-like metrics for fuzzy sets , 2002, Pattern Recognit. Lett..

[34]  William Rucklidge,et al.  Efficiently Locating Objects Using the Hausdorff Distance , 1997, International Journal of Computer Vision.

[35]  Jitendra Malik,et al.  Contour and Texture Analysis for Image Segmentation , 2001, International Journal of Computer Vision.

[36]  Douglas M. Hawkins,et al.  A Change-Point Model for a Shift in Variance , 2005 .

[37]  Douglas M. Hawkins,et al.  Statistical Process Control for Shifts in Mean or Variance Using a Changepoint Formulation , 2005, Technometrics.

[38]  Yong Deng,et al.  A new Hausdorff distance for image matching , 2005, Pattern Recognit. Lett..

[39]  L. Kantorovich On a Problem of Monge , 2006 .

[40]  Ulrike von Luxburg,et al.  A tutorial on spectral clustering , 2007, Stat. Comput..

[41]  Bo Li,et al.  A new algorithm for computing the minimum Hausdorff distance between two point sets on a line under translation , 2008, Inf. Process. Lett..

[42]  Douglas M. Hawkins,et al.  A Nonparametric Change-Point Control Chart , 2010 .

[43]  Gershon Elber,et al.  Precise Hausdorff distance computation between polygonal meshes , 2010, Comput. Aided Geom. Des..

[44]  Dimitris K. Tasoulis,et al.  Nonparametric Monitoring of Data Streams for Changes in Location and Scale , 2011, Technometrics.

[45]  Osamu Fujita,et al.  Metrics based on average distance between sets , 2011, Japan Journal of Industrial and Applied Mathematics.

[46]  Niall M. Adams,et al.  Two Nonparametric Control Charts for Detecting Arbitrary Distribution Changes , 2012 .

[47]  Dimitris K. Tasoulis,et al.  Sequential monitoring of a Bernoulli sequence when the pre-change parameter is unknown , 2012, Comput. Stat..

[48]  Gordon J. Ross Sequential change detection in the presence of unknown parameters , 2013, Stat. Comput..

[49]  Elena Deza,et al.  Encyclopedia of Distances , 2014 .

[50]  Rastko R. Selmic,et al.  Measuring Distance between Unordered Sets of Different Sizes , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[51]  S. V. Suryanarayana,et al.  A Survey : Spectral Clustering Applications and its Enhancements , 2015 .

[52]  Gordon J. Ross Parametric and Nonparametric Sequential Change Detection in R: The cpm package , 2012 .

[53]  Hyunjoong Kim,et al.  Functional Analysis I , 2017 .

[54]  C. S. Kubrusly,et al.  Distance Between Sets - A survey , 2018, 1808.02574.