Abstract
With insight from linguistics that degrees of text cohesion are similar to forces in physics, and the frequent use of the energy concept in text categorization by machine learning, we consider the applicability of particle-wave duality to semantic content inherent in index terms. Wave-like interpretations go back to the regional nature of such content, utilizing functions for its representation, whereas content as a particle can be conveniently modelled by position vectors. Interestingly, wave packets behave like particles, lending credibility to the duality hypothesis. We show in a classical mechanics framework how metaphorical term mass can be computed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Khrennikov, A.: Ubiquitous quantum structure: from psychology to finance. Springer (2010)
Wittek, P., Darányi, S.: Spectral composition of semantic spaces. In: Proceedings of QI 2011, 5th International Quantum Interaction Symposium, Aberdeen, UK (2011)
LeCun, Y., Chopra, S., Hadsell, R.: A tutorial on energy-based learning. Predicting Structured Data, 1–59 (2006)
Erk, K.: Representing words as regions in vector space. In: Proceedings of CoNLL 2009, 13th Conference on Computational Natural Language Learning, Boulder, CO, USA, pp. 57–65 (2009)
Park, L., Palaniswami, M., Kotagiri, R.: Internet document filtering using Fourier domain scoring. LNCS, pp. 362–373 (2001)
Park, L.: Spectral Based Information Retrieval. PhD thesis, University of Melbourne (2003)
Dorrer, C., Londero, P., Anderson, M., Wallentowitz, S., Walmsley, I.: Computing with interference: all-optical single-query 50-element database search. In: Proceedings of QELS 2001, Quantum Electronics and Laser Science Conference, pp. 149–150 (2001)
Buriol, L., Castillo, C., Donato, D., Leonardi, S., Millozzi, S.: Temporal analysis of the wikigraph. In: Proceedings of WI 2006, 5th International Conference on Web Intelligence, Hong Kong, pp. 45–51 (2006)
Lin, Y., Sundaram, H., Chi, Y., Tatemura, J., Tseng, B.: Detecting splogs via temporal dynamics using self-similarity analysis. ACM Transactions on the Web 2(1) (2008)
Fujimura, K., Fujimura, S., Matsubayashi, T., Yamada, T., Okuda, H.: Topigraphy: visualization for large-scale tag clouds. In: Proceedings of WWW 2008, 17th International Conference on World Wide Web, Beijing, China, pp. 1087–1088 (2008)
Jurgens, D., Stevens, K.: Event detection in blogs using temporal random indexing. In: Proceedings of the Workshop on Events in Emerging Text Types, Wolverhampton, UK, pp. 9–16 (2009)
White, H.: Cross-textual cohesion and coherence. In: Proceedings of the Workshop on Discourse Architectures: The Design and Analysis of Computer-Mediated Conversation, Minneapolis, MN, USA (2002)
Foltz, P.W., Kintsch, W., Landauer, T.K.: The measurement of textual coherence with latent semantic analysis. Discourse Processes 25(2-3), 285–307 (1998)
Gärdenfors, P.: Conceptual spaces: The geometry of thought. The MIT Press (2000)
Beeferman, D., Berger, A., Lafferty, J.: A model of lexical attraction and repulsion. In: Proceedings of ACL 1997, 35th Annual Meeting of the Association for Computational Linguistics, Madrid, Spain, pp. 373–380 (1997)
Yuret, D.: Discovery of linguistic relations using lexical attraction. Arxiv preprint cmp-lg/9805009 (1998)
Hutchens, J.: Infomagnetism and sentence generation. Technical report, Artificial Intelligence (2001)
Azzopardi, L.: Wave motion: A new metaphor for 2d information visualization the exploration of a metaphor. Technical report, University of Newcastle (2000)
Bruce, E.: Biomedical signal processing and signal modeling. Wiley-Interscience (2001)
Wang, C., Wang, X.: Indexing very high-dimensional sparse and quasi-sparse vectors for similarity searches. The VLDB Journal 9(4), 344–361 (2001)
Chatterjee, A., Bhowmick, S., Raghavan, P.: FAST: Force-directed approximate subspace transformation to improve unsupervised document classification. In: Proceedings of 6th Text Mining Workshop held in Conjunction with SIAM International Conference on Data Mining, Atlanta, GA, USA (2008)
Giraud, C.: Gravitational clustering and additive coalescence. Stochastic Processes and Their Applications 115(8), 1302–1322 (2005)
Oyang, Y.-J., Chen, C.-Y., Yang, T.-W.: A Study on the Hierarchical Data Clustering Algorithm Based on Gravity Theory. In: Siebes, A., De Raedt, L. (eds.) PKDD 2001. LNCS (LNAI), vol. 2168, pp. 350–361. Springer, Heidelberg (2001)
Blatt, M., Wiseman, S., Domany, E.: Superparamagnetic clustering of data. Physical Review Letters 76(18), 3251–3254 (1996)
Xiao-dan, W., Dian-min, Y., Feng-li, L., Chao-hsien, C.: Distributed model based sampling technique for privacy preserving clustering. In: Proceedings of ICMSE 2007, International on Conference on Management Science and Engineering, pp. 192–197 (2007)
Sheikholeslami, G., Chatterjee, S., Zhang, A.: WaveCluster: a wavelet-based clustering approach for spatial data in very large databases. The VLDB Journal 8(3), 289–304 (2000)
Horn, D., Gottlieb, A.: The method of quantum clustering. In: Dietterich, T., Becker, S., Ghahramani, Z. (eds.) Advances in Neural Information Processing Systems, Vancouver, Canada, vol. 14, pp. 769–776 (2001)
Weinstein, M., Horn, D.: Dynamic quantum clustering: A method for visual exploration of structures in data. Physical Review E 80(6), 066117 (2009)
Di Buccio, E., Di Nunzio, G.M.: Envisioning Dynamic Quantum Clustering in Information Retrieval. In: Song, D., Melucci, M., Frommholz, I., Zhang, P., Wang, L., Arafat, S. (eds.) QI 2011. LNCS, vol. 7052, pp. 211–216. Springer, Heidelberg (2011)
Harris, Z.: Distributional structure. In: Harris, Z. (ed.) Papers in Structural and Transformational Linguistics. Formal Linguistics, pp. 775–794. Humanities Press, New York (1970)
Carnap, R.: Meaning and Necessity: A Study in Semantics and Modal Logic. University Of Chicago Press, Chicago (1947)
Lehrer, A.: Semantic fields and lexical structure. American Elsevier, New York (1975)
Dyvik, H.: Translations as a semantic knowledge source. In: Proceedings of HLT 2005, 2nd Baltic Conference on Human Language Technologies, Tallinn, Estonia (2005)
Priss, U., Old, L.: Conceptual exploration of semantic mirrors. In: Proceedings of ICFCA 2005, 3rd International Conference on Formal Concept Analysis, Lens, France (2005)
Rocchio, J.: Relevance feedback in information retrieval. In: Salton, G. (ed.) The SMART Retrieval System: Experiments in Automatic Document Processing, pp. 313–323. Prentice-Hall, Inc., Upper Saddle River (1971)
Bruza, P., Woods, J.: Quantum collapse in semantic space: interpreting natural language argumentation. In: Proceedings of QI 2008, 2nd International Symposium on Quantum Interaction, Oxford, UK (2008)
Widdows, D.: Semantic vector products: Some initial investigations. In: Proceedings of QI 2008, 2nd International Symposium on Quantum Interaction, Oxford, UK (2008)
Zuccon, G., Azzopardi, L.A., van Rijsbergen, C.J.: Semantic Spaces: Measuring the Distance between Different Subspaces. In: Bruza, P., Sofge, D., Lawless, W., van Rijsbergen, K., Klusch, M. (eds.) QI 2009. LNCS, vol. 5494, pp. 225–236. Springer, Heidelberg (2009)
Wittek, P., Darányi, S.: Representing word semantics for IR by continuous functions. In: Dominich, S., Kiss, F. (eds.) Proceedings of ICTIR 2007, 1st International Conference of the Theory of Information Retrieval, Budapest, Hungary, pp. 149–155 (2007)
Wittek, P., Tan, C.L.: Compactly supported basis functions as support vector kernels for classification. Transactions on Pattern Analysis and Machine Intelligence 33(10), 2039–2050 (2011)
Peng, L., Chen, Y., Yang, B., Chen, Z.: A novel classification method based on data gravitation. In: Proceedings of ICNNB 2005, International Conference on Neural Networks and Brain, Beijing, China, pp. 667–672 (2005)
Salton, G.: Dynamic information and library processing (1975)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Darányi, S., Wittek, P. (2012). Connecting the Dots: Mass, Energy, Word Meaning, and Particle-Wave Duality. In: Busemeyer, J.R., Dubois, F., Lambert-Mogiliansky, A., Melucci, M. (eds) Quantum Interaction. QI 2012. Lecture Notes in Computer Science, vol 7620. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35659-9_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-35659-9_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35658-2
Online ISBN: 978-3-642-35659-9
eBook Packages: Computer ScienceComputer Science (R0)