Metric-preservtng reduction of earth mover's distance

Asia-Pacific Journal of Operational Research

Volumn 27, Issue 1, 2010, Pages 39-54

  Takano, Yuichi ^a   Yamamoto, Yoshitsugu ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

Earth mover's distance; Flow decomposition; Histogram based dissimilarity measure; Non negative matrix factorization; Transportation problem of hitchcock type

Indexed keywords

DISSIMILARITY MEASURES; EARTH MOVER'S DISTANCE; FLOW DECOMPOSITION; NONNEGATIVE MATRIX FACTORIZATION; TRANSPORTATION PROBLEM;

BLIND SOURCE SEPARATION; GRAPHIC METHODS; LIGHT MEASUREMENT; STATISTICAL METHODS;

FACTORIZATION;

EID: 77952138081     PISSN: 02175959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217595910002545     Document Type: Article

References (17)

1. Ahuja, RK, TL Magnanti and JB Orlin (1993). Network Flows. Prentice Hall.
2. Andoni, A, P Indyk and R Krauthgamer (2008). Earth mover distance over highdimensional spaces. Proc. Symposium on Discrete Algorithms, 343-352.
3. Berry, MW, M Browne, AN Langville, VP Pauca and RJ Plemmons (2007). Algorithms and applications for approximate nonnegative matrix factorization. Computational Statistics & Data Analysis, 52(1), 155-173.
4. Bertsimas, D, D Pachamanova and M Sim (2004). Robust linear optimization under general norms. Operations Research Letters, 32(6), 510-516.
5. Grauman, K and T Darrell (2004). Fast contour matching using approximate earth mover's distance, Proc. IEEE Conf. Computer Vision and Pattern Recognition, 1, 220-227.
6. Grauman,KandTDarrell(2007).Thepyramidmatchkernel: Efficientlearningwithsetsoffeatures,J.MachineLearningResearch,8,725-760. (Pubitemid46677049)
7. Guillamet, D and J Vitrià (2003). Evaluation of distance metrics for recognition based on non-negative matrix factorization. Pattern Recognition Letters, 24(9-10), 1599-1605. (Pubitemid 36225864)
8. Indyk, P and N Thaper (2003). Fast image retrieval via embeddings. Proc. Third Workshop Statistical and Computational Theories of Vision.
9. Klein, O and RC Veltkamp (2005). Approximation algorithms for the earth mover's distance under transformations using reference points. Proc. 16th Int'l Symp. Algorithms and Computation, 1019-1028.
10. LeCun, Y and C Cortes. The MNIST Database of handwritten digits (2009). Available at http://yann.lecun.com/exdb/mnist/.
11. Lee,DDandHSSeung(1999).Learningthepartsofobjectsbynon- negativematrixfactorization.Nature,401,788-791.(Pubitemid129515838)
12. Ling, H and K Okada (2007). An efficient earth mover's distance algorithm for robust histogram comparison. IEEE Trans. Pattern Analysis and Machine Intelligence, 29(5), 840-853.
13. Rubner, Y, J Puzicha, C Tomasi and JM Buhmann (2001). Empirical evaluation of dissimilarity measures for color and texture. Computer Vision and Image Understanding, 84, 25-43. (Pubitemid 34220908)
14. Rubner, Y, C Tomasi and LJ Guibas (2000). The earth mover's distance as a metric for image retrieval. Int'l J. Computer Vision, 40(2), 99-121. (Pubitemid 32136368)
15. Shirdhonkar, S and DW Jacobs (2008). Approximate earth mover's distance in linear time. Proc. IEEE Conf. Computer Vision and Pattern Recognition, 1-8.
16. Werman, M, S Peleg and A Rosenfeld (1985). A distance metric for multidimensional histograms. Computer Vision, Graphics, and Image Processing, 32, 328-336.
17. Wichterich, M, I Assent, P Kranen and T Seidl (2008). Efficient EMD-based similarity search in multimedia databases via flexible dimensionality reduction. Proc. ACM SIGMOD Int'l Conf. Management of Data, 199-212.