+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Twin kernel embedding

, : Twin kernel embedding. IEEE Transactions on Pattern Analysis and Machine Intelligence 30(8): 1490-1495

In most existing dimensionality reduction algorithms, the main objective is to preserve relational structure among objects of the input space in a low dimensional embedding space. This is achieved by minimizing the inconsistency between two similarity/dissimilarity measures, one for the input data and the other for the embedded data, via a separate matching objective function. Based on this idea, a new dimensionality reduction method called Twin Kernel Embedding (TKE) is proposed. TKE addresses the problem of visualizing non-vectorial data that is difficult for conventional methods in practice due to the lack of efficient vectorial representation. TKE solves this problem by minimizing the inconsistency between the similarity measures captured respectively by their kernel Gram matrices in the two spaces. In the implementation, by optimizing a nonlinear objective function using the gradient descent algorithm, a local minimum can be reached. The results obtained include both the optimal similarity preserving embedding and the appropriate values for the hyperparameters of the kernel. Experimental evaluation on real non-vectorial datasets confirmed the effectiveness of TKE. TKE can be applied to other types of data beyond those mentioned in this paper whenever suitable measures of similarity/dissimilarity can be defined on the input data.


PMID: 18566501

DOI: 10.1109/TPAMI.2008.74

Other references

Alosco, M.L.; Spitznagel, M.Beth.; Cohen, R.; Sweet, L.H.; Josephson, R.; Hughes, J.; Rosneck, J.; Gunstad, J., 2015: Better adherence to treatment recommendations in heart failure predicts improved cognitive function at a one-year follow-up. Treatment nonadherence is common in heart failure (HF) and is associated with poor health outcomes in this population. Recent cross-sectional work in heart failure and past work in other medical populations suggest that cognitive function is a key...

Sirica A.E.; Cihla H.P., 1984: Isolation and partial characteristics of oval and hyperplastic bile ductular cell enriched populations from the livers of carcinogen treated and noncarcinogen treated rats. An oval cell-enriched population was isolated using 2 isopyknic centrifugation steps in Percoll gradients from the livers of young adult male rats maintained for 6-12 wk on a choline-deficient diet containing 0.05% DL-ethionine. This cell populati...

Rostoker G.; Delprato S.; Petit Phar M.; Maadi A.B.; Lang P.; Weil B.; Lagrue G., 1989: Iga antigliadin antibodies a possible new epidemiological marker for iga mesangial glomerulonephritis iga gn. European Journal of Clinical Investigation 19(2 PART 2): A49

King D.I.; Boulton M.I.; Davies J.W., 1990: Host range determinants in maize streak virus. Journal of Experimental Botany 41(SUPPL): P6-7

Khokhlova, T.; Li, T.; Sapozhnikov, O.; Hwang, J.Ha., 2013: The use of twinkling artifact of Doppler imaging to monitor cavitation in tissue during high intensity focused ultrasound therapy. NlmCategory="UNASSIGNED">In high intensity focused ultrasound (HIFU) therapy, it is important to monitor the presence and activity of microbubbles in tissue during treatment. The current methods, - passive cavitation detection (PCD) a...

Barthold, S.W.; Smith, A.L., 1990: Duration of mouse hepatitis virus infection: studies in immunocompetent and chemically immunosuppressed mice. The duration of mouse hepatitis virus (MHV) infection was examined in mice inoculated intranasally with selected strains of MHV. Following inoculation with virulent MHV-JHM, genetically susceptible BALB/c mice and resistant CD1 mice had detectable...

Kovaleva, G.A., 1959: The regulation of cell division in epithelial tissue in process of regeneration. A burn was inflicted on rats on the dorsal surface of the tongue. Reactive inhibition of cellular division was examined on the 2d, 4th and 10th day of regeneration in animals which were stimulated with an electric current. Reactive inhibition of m...

Alvarez Orti, M.; Rubio, A.; Escribano, J.; Fernandez, J.A., 2001: Analysis of gene expression in saffron corms Spatial and temporal developmental patterns. Plant Biology (Rockville) : 144-145

Browning, Ls, 1968: Effects of the space environment on radiation-induced damage in the reproductive cells of pupae and adult Drosophila. BioScience American Institute of Biological Sciences 18(6): 570-576

Thompson K.F.M.; Holt J.; Kennedy G., 1997: Remote detection of petroleum seepage in sea floor sediments by measurement of electrical potential. Proceedings - Offshore Technology Conference 29, Vol