Abstract
Recent years, a large amount of ontology learning algorithms have been applied in different disciplines and engineering. The ontology model is presented as a graph and the key of ontology algorithms is similarity measuring between concepts. In the learning frameworks, the information of each ontology vertex is expressed as a vector, thus the similarity measuring can be determined via the distance of the corresponding vector. In this paper, we study how to get an optimal distance function in the ontology setting. The tricks we presented are divided into two parts: first, the ontology distance learning technology in the setting that the ontology data have no labels; then, the distance learning approaches in the setting that the given ontology data are carrying real numbers as their labels. The result data of the four simulation experiments reveal that our new ontology trick has high efficiency and accuracy in ontology similarity measure and ontology mapping in special engineering applications.
Similar content being viewed by others
References
Kim, H.H., Lee, S.Y., Baik, S.Y., Kim, J.H.: MELLO: medical lifelog ontology for data terms from self-tracking and lifelog devices. Int. J. Med. Inform. 84(12), 1099–1110 (2015)
Slota, M., Leite, J., Swift, T.: On updates of hybrid knowledge bases composed of ontologies and rules. Nucleic Acids Res. 229, 33–104 (2015)
Azevedo, C.L.B., Iacob, M.E., Almeida, J.P.A., van Sinderen, M., Pires, L.F., Guizzardi, G.: Modeling resources and capabilities in enterprise architecture: a well-founded ontology-based proposal for archimate. Inf. Syst. 54, 235–262 (2015)
Nardi, J.C., Falbo, R.D., Almeida, J.P.A., Guizzardi, G., Pires, L.F., van Sinderen, M.J., Guarino, N., Fonseca, C.M.: A commitment-based reference ontology for services. Inf. Syst. 54, 263–288 (2015)
Wimmer, H., Rada, R.: Good versus bad knowledge: ontology guided evolutionary algorithms. Expert Syst. Appl. 42(21), 8039–8051 (2015)
Herrmann-Pillath, C.: Energy, growth, and evolution: towards a naturalistic ontology of economics. Ecol. Econ. 119, 432–442 (2015)
Dececchi, T.A., Balhoff, J.P., Lapp, H., Mabee, P.M.: Toward synthesizing our knowledge of morphology: using ontologies and machine reasoning to extract presence/absence evolutionary phenotypes across studies. Syst. Biol. 64(6), 936–952 (2015)
Santos, G.: Ontological emergence: how is that possible? towards a new relational ontology. Found. Sci. 20(4), 429–446 (2015)
Morente-Molinera, J.A., Perez, I.J., Urena, M.R., Herrera-Viedma, E.: Building and managing fuzzy ontologies with heterogeneous linguistic information. Knowl. Syst. 88, 154–164 (2015)
Santipantakis, G., Vouros, G.A.: Distributed reasoning with coupled ontologies: the E-SHIQ representation framework. Knowl. Inf. Syst. 45(2), 491–534 (2015)
Wang, Y.Y., Gao, W., Zhang, Y.G., Gao, Y.: Ontology similarity computation use ranking learning method. In: The 3rd International Conference on Computational Intelligence and Industrial Application, pp. 20–22. Wuhan, China (2010)
Huang, X., Xu, T.W., Gao, W., Jia, Z.Y.: Ontology similarity measure and ontology mapping via fast ranking method. Int. J. Appl. Phys. Math. 1(1), 54–59 (2011)
Gao, W., Liang, L.: Ontology similarity measure by optimizing NDCG measure and application in physics education. Future Commun. Comput. Control Manag. 142, 415–421 (2011)
Gao, W., Guo, Y., Wang, K.Y.: Ontology algorithm using singular value decomposition and applied in multidisciplinary. Clust. Comput. 19(4), 2201–2210 (2016)
Gao, W., Gao, Y., Liang, L.: Diffusion and harmonic analysis on hypergraph and application in ontology similarity measure and ontology mapping. J. Chem. Pharm. Res. 5(9), 592–598 (2013)
Gao, W., Baig, A.Q., Ali, H., Sajjad, W., Farahani, M.R.: Margin based ontology sparse vector learning algorithm and applied in biology science. Saudi J. Biol. Sci. 24(1), 132–138 (2017)
Gao, W., Zhu, L.L., Wang, K.Y.: Ranking based ontology scheming using eigenpair computation. J. Intell. Fuzzy Syst. 31(4), 2411–2419 (2016)
Gao, W., Gao, Y., Zhang, Y.G.: Strong and weak stability of \(k\)-partite ranking algorithm. Information 15(11(A)), 4585–4590 (2012)
Gao, W., Farahani, M.R.: Generalization bounds and uniform bounds for multi-dividing ontology algorithms with convex ontology loss function. Comput. J. doi:10.1093/comjnl/bxw107
Gao, W., Zhu, L.L.: Gradient learning algorithms for ontology computing. Comput. Intell. Neurosci (2014). Article ID 438291. doi:10.1155/2014/438291
Gao, W., Wang, W.F.: The fifth geometric arithmetic index of bridge graph and carbon nanocones. J. Differ. Equ. Appl. (2016). doi:10.1080/10236198.2016.1197214
Gao, W., Wang, W.F.: The eccentric connectivity polynomial of two classes of nanotubes. Chaos Solitons Fractals 89, 290–294 (2016)
Sachnev, V., Ramasamy, S., Sundaram, S., Kim, H.J., Hwang, H.J.: A cognitive ensemble of extreme learning machines for steganalysis based on risk-sensitive hinge loss function. Cogn. Comput. 7(1), 103–110 (2015)
Lee, C.P., Lin, C.J.: A study on L\(_{2}\)-loss (squared hinge-loss) multiclass SVM. Neural Comput. 25(5), 1302–1323 (2013)
Sen, M.U., Erdogan, H.: Linear classifier combination and selection using group sparse regularization and hinge loss. Pattern Recognit. Lett. 34(3), 265–274 (2013)
Anguita, D., Ghio, A., Oneto, L., Ridella, S.: In-sample model selection for trimmed hinge loss support vector machine. Neural Process. Lett. 36(3), 275–283 (2012)
Bartlett, P.L., Wegkamp, M.H.: Classification with a reject option using a hinge loss. J. Mach. Learn. Res. 9, 1823–1840 (2008)
Chassein, A.B., Goerigk, M.: A new bound for the midpoint solution in minmax regret optimization with an application to the robust shortest path problem. Eur. J. Oper. Res. 244(3), 739–747 (2015)
Ehrgott, M., Ide, J., Schoebel, A.: Minmax robustness for multi-objective optimization problems. Eur. J. Oper. Res. 239(1), 17–31 (2014)
Le, D.M., Le, Q.T.: On DC optimization algorithms for solving minmax flow problems. Math. Methods Oper. Res. 80(1), 83–97 (2014)
Natarajan, K., Shi, D.J., Toh, K.C.: A probabilistic model for minmax regret in combinatorial optimization. Oper. Res. 62(1), 160–181 (2014)
Brittain, K., Silva, M., Tortorelli, D.A.: Minmax topology optimization. Struct. Multidiscip. Optim. 45(5), 657–668 (2012)
Candia-Vejar, A., Alvarez-Miranda, E., Maculan, N.: Minmax regret combinational optimization problems: an algorithmic perspective. Rairo-Oper. Res. 45(2), 101–129 (2011)
Kasperski, A., Zielinski, P.: Minmax regret approach and optimality evaluation in combinatorial optimization problems with interval and fuzzy weights. Eur. J. Oper. Res. 200(3), 680–687 (2010)
Kasperski, A., Zieliniski, P.: On the approximability of minmax (regret) network optimization problems. Inf. Process. Lett. 109(5), 262–266 (2009)
Sagol, G., Yildirim, E.A.: Analysis of copositive optimization based linear programming bounds on standard quadratic optimization. J. Global Optim. 63(1), 37–59 (2015)
Atalay, K.D., Eraslan, E., Cinar, M.O.: A hybrid algorithm based on fuzzy linear regression analysis by quadratic programming for time estimation: An experimental study in manufacturing industry. J. Manufact. Syst. 36, 182–188 (2015)
Saberian, F., Ghate, A., Kim, M.: A two-variable linear program solves the standard linear-quadratic formulation of the fractionation problem in cancer radiotherapy. Oper. Res. Lett. 43(3), 254–258 (2015)
Hoang, N.T.: Linear convergence of a type of iterative sequences in nonconvex quadratic programming. J. Math. Anal. Appl. 423(2), 1311–1319 (2015)
Adams, W., Waddell, L.: Linear programming insights into solvable cases of the quadratic assignment problem. Discret. Opt. 14, 46–60 (2014)
Craswell, N., Hawking, D.: Overview of the TREC: web track. In: Proceeding of the Twelfth Text Retrieval Conference, pp. 78–92, Gaithersburg, Maryland, NIST Special Publication(2003)
Gao, Y., Gao, W.: Ontology similarity measure and ontology mapping via learning optimization similarity function. Int. J. Mach. Learn. Comput. 2(2), 107–112 (2012)
Gao, W., Lan, M.H.: Ontology mapping algorithm based on ranking learning method. Microelectron. Comput. 28(9), 59–61 (2011)
Acknowledgements
We thank all the reviewers for their constructive suggestions on how to improve the quality of this paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gao, W., Farahani, M.R., Aslam, A. et al. Distance learning techniques for ontology similarity measuring and ontology mapping. Cluster Comput 20, 959–968 (2017). https://doi.org/10.1007/s10586-017-0887-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10586-017-0887-3