Abstract
In this concluding chapter, some research directions are briefly outlined, thus hoping that the quantum mechanical framework will be fully leveraged to achieve effective and efficient IR systems.
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
S. Aaronson. Quantum Computing Since Democritus. Cambridge University Press, 2013.
L. Accardi. On the probabilistic roots of the quantum mechanical paradoxes. In S. Diner and L. de Broglie, editors, The Wave-Particle Dualism, pages 297–330. D. Reidel pub. co., 1984.
L. Accardi. Urne e camaleonti. Il Saggiatore, 1997.
L. Accardi and A. Fedullo. On the statistical meaning of complex numbers in quantum mechanics. Lettere al nuovo cimento, 34(7):161–172, 1982.
D. Aerts. Quantum structure in cognition. Journal of Mathematical Psychology, 53(5):314–348, 2009.
D. Aerts and M. Czachor. Quantum aspects of semantic analysis and symbolic artificial intelligence. Journal of Physics A: Mathematical and General, 37(12):L123, 2004. URL http://stacks.iop.org/0305-4470/37/i=12/a=L01.
D. Aerts and L. Gabora. A theory of concepts and their combinations: I.: The structure of the sets of contexts and properties. Kybernetes, 34:(1/2): 167–191, 2004a.
D. Aerts and L. Gabora. A theory of concepts and their combinations: II.: A Hilbert space representation. Kibernetes, 34(1/2):192–221, 2004b.
R. Agrawal, H. Mannila, R. Srikant, H. Toivonen, and A. I. Verkamo. Fast discovery of association rules. In U. M. Fayyad, G. Piatetsky-Shapiro, P. Smyth, and R. Uthurusamy, editors, Advances in Knowledge Discovery and Data Mining, pages 307–328. AAAI/MIT Press, 1996.
D. Albert. Quantum Mechanics and Experience. Harvard University Press, 1994.
O. E. Barndorff-Nielsen, R. D. Gill, and P. E. Jupp. On quantum statistical inference. Journal of the Royal Statistical Society. Series B (Statistical Methodology), 65(4):775–816, 2003.
D. Bartholomew, F. Steele, and I. Moustaki. Analysis of multivariate social science data. Statistics in the social and behavioral sciences series. CRC Press, 2008.
J. Bell. On the Einstein Podolsky Rosen paradox. Physics, pages 195–200, 1964.
J. Bell. Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, 1987.
G. Boole. An Investigation of the laws of Thought. Walton and Maberly, 1854.
S. Brin and L. Page. The anatomy of a large-scale hypertextual web search engine. In Proceedings of WWW, Brisbane, Australia, 1998. http://www7.scu.edu.au/.
P. Bruza and R. Cole. Quantum Logic of Semantic Space: An Exploratory Investigation of Context Effects in Practical Reasoning, volume 1, pages 339–362. College Publications, 2005.
P. Bruza, K. Kitto, D. Nelson, and C. McEvoy. Is there something quantum-like about the human mental lexicon? Journal of Mathematical Psychology, 53:362–377, 2010.
P. Bruza, K. Kitto, B. Ramm, L. Sitbon, S. Blomberg, and D. Song. Quantum-like non-separability of concept combinations, emergent associates and abduction. Logic Journal of the IGPL, 20(2):445–457, 2012.
J. Busemeyer and P. D. Bruza. Quantum Models of Cognition and Decision. Cambridge University Press, 2012.
G. Cariolaro. Quantum Communications. Springer, 2015.
C. Cleverdon and J. Mills. The testing of index language devices. ASLIB Proceedings, 15(4):106–130, 1963.
C. Cleverdon, J. Mills, and M. Keen. ASLIB Cranfield Research Project: factors determining the performance of indexing systems. ASLIB, 1966.
W. Cooper. Getting beyond Boole. Information Processing & Management, 24:243–248, 1988.
W. Cooper. Some inconsistencies and misidentified modeling assumptions in probabilistic information retrieval. ACM Transactions on Information Systems, 13(1):100–111, 1995.
W. Croft and D. Harper. Using probabilistic models of document retrieval without relevance information. Journal of Documentation, 35:285–295, 1979.
W. Croft and J. Lafferty, editors. Language Modeling for Information Retrieval, volume 13 of Kluwer International Series on Information Retrieval. Kluwer Academic Publishers, 2002.
W. Croft, D. Metzler, and T. Strohman. Search Engines: Information Retrieval in Practice. Addison Wesley, 2009.
S. Deerwester, S. Dumais, G. Furnas, T. Landauer, and R. Harshman. Indexing by latent semantic analysis. Journal of the American Society for Information Science, 41(6):391–407, 1990.
P. Dirac. The Principles of Quantum Mechanics. Clarendon Press, 1935.
D. Dubin. The most influential paper Gerard Salton never wrote. Library Trends, 52(4):748–764, 2004.
A. Einstein, B. Podolski, and N. Rosen. Can quantum-mechanical description of physical reality be considered complete? Physical Review, 47, 1935.
R. Feynman, R. Leighton, and M. Sands. The Feynman Lectures On Physics. Addison-Wesley, 1965.
A. Fine. Probability and the interpretation of quantum mechanics. The British Journal for the Philosophy of Science, 24(1):1–37, 1973.
E. Fox. Characterization of two new experimental collections in computer and information science containing textual and bibliographic concepts. Technical Report TR83-561, Cornell University, Computer Science Department, 1983.
W. Frakes and R. Baeza-Yates, editors. Information Retrieval: Data Structures and Algorithms. Prentice Hall, 1992.
I. Frommholz, B. Larsen, B. Piwowarski, M. Lalmas, P. Ingwersen, and C. J. van Rijsbergen. Supporting polyrepresentation in a quantum-inspired geometrical retrieval framework. In Proceedings of IIiX, pages 115–124, 2010.
N. Fuhr. A probability ranking principle for interactive information retrieval. Journal of Information Retrieval, 11(3):251–265, 2008.
P. Gärdenfors. Conceptual Spaces: The Geometry of Thought. MIT Press, 2000.
A. M. Gleason. Measures on the closed subspaces of a Hilbert space. Journal of Mathematics and Mechanics, 6:885–893, 1957.
R. B. Griffiths. Consistent Quantum Theory. Cambridge University Press, 2002.
P. Halmos. Finite-Dimensional Vector Spaces. Undergraduate Texts in Mathematics. Springer, 1987.
J. Han, J. Pei, and Y. Yin. Mining frequent patterns without candidate generation. In Proceedings of SIGMOD, pages 1–12, 2000.
G. M. Hardegree. An approach to the logic of natural kinds. Pacific Philosophical Quarterly, 63:122–132, 1982.
L. Hardy. Quantum theory from five reasonable axioms. http://arxiv.org/abs/quant-ph/0101012v4, 2001.
D. Harman. Relevance feedback revisited. In Proceedings of SIGIR, pages 1–10, Copenhagen, 1992.
C. Helstrom. Quantum Detection and Estimation Theory. Academic Press, 1976.
W. Hersh, C. Buckley, T. Leone, and D. Hickam. OHSUMED: an interactive retrieval evaluation and new large test collection for research. In Proceedings of SIGIR, pages 192–201, Dublin, Ireland, 1994.
Y. Hou and D. Song. Characterizing pure high-order entanglements in lexical semantic spaces via information geometry. In Proceedings of Quantum Interaction, pages 237–250, 2009.
Y. Hou, X. Zhao, D. Song, and W. Li. Mining pure high-order word associations via information geometry for information retrieval. ACM Transactions on Information Systems, 31(3):1–32, 2013.
R. Hughes. The Structure and Interpretation of Quantum Mechanics. Harvard University Press, 1989.
P. Ingwersen. Information Retrieval Interaction. Taylor Graham Publishing, 1992.
P. Ingwersen and K. Järvelin. The Turn: Integration of Information Seeking and Retrieval in Context. Springer, 2005.
N. Jardine and C. J. van Rijsbergen. The use of hierarchical clustering in information retrieval. Information Storage and Retrieval, 7:217–240, 1971.
J. M. Jauch. Foundations of Quantum Mechanics. Addison Wesley, 1968.
D. Kelly. Understanding Implicit Feedback and Document Preference: A Naturalistic User Study. PhD thesis, Rutgers, The State University of New Jersey, 2004.
D. Kelly. Methods for evaluating interactive information retrieval systems with users. Foundations and Trends in Information Retrieval, 3(1-2):1–224, 2009.
A. Khrennikov. Ubiquitous Quantum Structure. Springer, 2010.
A. Kolmogorov. Foundations of the Theory of Probability. Chelsea Publishing Company, II edition, 1956.
M. Kumar. Quantum: Einstein, Bohr, and the Great Debate About the Nature of Reality. W.W. Norton and Co., 2008.
J. Lafferty and C. Zhai. Probabilistic relevance models based on document and query generation, chapter 1 Volume 13 of Croft and Lafferty (2002), 2002.
V. Lavrenko and W. Croft. Relevance-based language models. In Proceedings of SIGIR, pages 120–127, New Orleans, LO, USA, 2001.
L. M. Lederman and C. T. Hill. Quantum Physics for Poets. Prometheus Books, 2011.
T.-Y. Liu. Learning to Rank for Information Retrieval. Springer, 2011.
J. Lovins. Development of a stemming algorithm. Mechanical Translation and Computational Linguistics, 11:22–31, 1968.
H. Luhn. The automatic creation of literature abstracts. IBM Journal of Research and Development, 2(2):159–165, 1958.
H. Luhn. Keyword-in-context index for technical literature. American Documentation, 11(4):288–294, 1960.
L. Maccone and L. Salasnich. Meccanica quantistica, caos e sistemi complessi. Carocci Editore, 2008.
J. D. Malley and J. Hornstein. Quantum statistical inference. Statistical Science, 8(4):433–457, 1993.
C. Manning and H. Schütze. Foundations of Statistical Natural Language Processing. The MIT Press, 1999.
C. Manning, P. Raghavan, and H. Schütze. An Introduction to Information Retrieval. Cambridge University Press, 2008.
M. Maron and J. Kuhns. On relevance, probabilistic indexing and retrieval. Journal of the ACM, 7:216–244, 1960.
Z. Meglicki. Quantum Computing without Magic. Cambridge University Press, 2008.
M. Melucci. A basis for information retrieval in context. ACM Transactions on Information Systems, 26(3), 2008a.
M. Melucci. Towards modeling implicit feedback with quantum entanglement. In Proceedings of Quantum Interaction Oxford, UK, 2008b. College Publications.
M. Melucci. Deriving a quantum information retrieval basis. The Computer Journal, 56(11):1279–1291, 2012a.
M. Melucci. Contextual Search: A Computational Framework. Foundations and Trends in Information Retrieval. Now Publishers, 2012b.
M. Melucci and R. White. Utilizing a geometry of context for enhanced implicit feedback. In Proceedings of CIKM, pages 273–282, New York, NY, USA, 2007. ACM.
N. D. Mermin. Quantum Computer Science: An Introduction. Cambridge University Press, 2007.
C. Mooers. Coding, information retrieval, and the rapid selector. Journal of Documentation, 1(4):225–229, 1950.
J. Neyman and E. Pearson. On the problem of the most efficient tests of statistical hypotheses. Philosophical Transactions of the Royal Society, Series A, 231:289–337, 1933.
M. Nielsen and I. Chuang. Quantum Computation and Quantum Information. Cambridge University Press, 2000.
A. Peres. Quantum Theory: Concepts and Methods. Kluwer Academic Press, 2002.
I. Pitowsky. Quantum Probability—Quantum Logic. Springer, 1989.
B. Piwowarski and M. Lalmas. A quantum-based model for interactive information retrieval. In Advances in Information Retrieval Theory, volume 5766 of Lecture Notes in Computer Science, pages 224–231. Springer, 2009.
B. Piwowarski, I. Frommholz, M. Lalmas, and C. J. van Rijsbergen. What can quantum theory bring to information retrieval. In Proceedings of CIKM, pages 59–68. ACM, 2010.
J. Polkinghorne. Quantum Theory: A Very Short Introduction. Oxford University Press, 2002.
J. Ponte and W. Croft. A language modeling approach to information retrieval. In Proceedings of SIGIR, pages 275–281. Melbourne, Australia, 1998.
J. Renn. Auf den Schultern von Riesen und Zwergen. Wiley-VCH Verlag, 2006.
E. Rieffel and W. Polak. Quantum Computing: A Gentle Introduction. The MIT Press, 1st edition, 2011.
S. Robertson. The probability ranking principle in information retrieval. Journal of Documentation, 33(4):294–304, 1977.
S. Robertson and K. Sparck Jones. Relevance weighting of search terms. Journal of the American Society for Information Science, 27:129–146, 1976.
S. Robertson and S. Walker. Some simple effective approximations to the 2-Poisson model for probabilistic weighted retrieval. In Proceedings of SIGIR, pages 232–241, Dublin, Ireland, 1994.
S. Robertson and H. Zaragoza. The probabilistic relevance framework: BM25 and beyond. Foundations and Trends in Information Retrieval, 3(4): 333–389, 2009.
J. J. Rocchio. Relevance feedback in information retrieval. In G. Salton, editor, The SMART Retrieval System: Experiments in Automatic Document Processing, chapter 14, pages 313–323. Prentice-Hall, 1971.
G. Salton. Associative document retrieval techniques using bibliographic information. Journal of the ACM, 10:440–457, 1963.
G. Salton. Automatic Information Organization and Retrieval. Mc Graw Hill, 1968.
G. Salton. The SMART Retrieval System. Experiments in Automatic Document Processing. Prentice-Hall, 1971.
G. Salton. Mathematics and information retrieval. Journal of Documentation, 35(1): 1–29, 1979.
G. Salton. Automatic Text Processing. Addison-Wesley, 1989.
G. Salton and M. McGill. Introduction to Modern Information Retrieval. McGraw-Hill, 1983.
G. Salton, A. Wong, and C. Yang. A vector space model for automatic indexing. Communications of the ACM, 18(11):613–620, 1975.
K. Sparck Jones. Automatic Keyword Classification. Butterworths, 1971.
K. Sparck Jones and C. J. van Rijsbergen. Information retrieval test collections. Journal of Documentation, 32(1):59–75, 1976.
K. Sparck Jones and P. Willett. Readings in Information Retrieval. Morgan Kaufmann, 1997.
C. J. van Rijsbergen. Information Retrieval. Butterworths, second edition, 1979.
C. J. van Rijsbergen. A non-classical logic for Information Retrieval. The Computer Journal, 29(6):481–485, 1986.
C. J. van Rijsbergen. The Geometry of Information Retrieval. Cambridge University Press, 2004.
V. N. Vapnik. Statistical Learning Theory. Wiley, 1998.
V. N. Vapnik. The Nature of Statistical Learning Theory. Springer, 1999.
J. von Neumann. Mathematical Foundations of Quantum Mechanics. Princeton University Press, 1955.
D. Widdows. Orthogonal negation in vector spaces for modelling word-meanings and document retrieval. In Proceedings of the Annual Meeting on Association for Computational Linguistics, pages 136–143, 2003.
D. Widdows. Geometry and Meaning. CSLI Publications, 2004.
D. Widdows and T. Cohen. The semantic vectors package: New algorithms and public tools for distributional semantics. In IEEE International Conference on Semantic Computing (ICSC), pages 9–15, 2010.
D. Widdows and S. Peters. Word vectors and quantum logic: Experiments with negation and disjunction. In R. Oehrle and J. Rogers, editors, Proceedings of Mathematics of Language, volume 8, pages 141–154, 2003.
S. Wong and V. Raghavan. Vector space model of information retrieval—a reevaluation. In Proceedings of SIGIR, pages 167–185, Cambridge, UK, 1984.
W. K. Wootters. Statistical distance and Hilbert space. Phys. Rev. D, 23(2): 357–362, 1981.
N. S. Yanofsky and M. A. Mannucci. Quantum Computing for Computer Scientists. Cambridge University press, 2008.
A. Zeilinger. Dance of the Photons: From Einstein to Quantum Teleportation. Farrar, Straus and Giroux, 2010.
C. Zhai. Statistical Language Models for Information Retrieval: A Critical Review. Foundations and Trends in Information Retrieval. Now Publishers Inc., 2008.
C. Zhai and J. Lafferty. A study of smoothing methods for language models applied to ad-hoc information retrieval. In Proceedings of SIGIR, pages 334–342, New Orleans, LA, USA, 2001.
G. Zuccon and L. Azzopardi. Using the quantum probability ranking principle to rank interdependent documents. In Proceedings of ECIR, Lecture Notes in Computer Science, pages 357–369. Springer, 2010.
G. Zuccon, L. Azzopardi, and C. J. van Rijsbergen. The quantum probability ranking principle for information retrieval. In Proceedings of ICTIR, pages 232–240, Toulouse, France, 2009. Springer.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Melucci, M. (2015). Future Work. In: Introduction to Information Retrieval and Quantum Mechanics. The Information Retrieval Series, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48313-8_4
Download citation
DOI: https://doi.org/10.1007/978-3-662-48313-8_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-48312-1
Online ISBN: 978-3-662-48313-8
eBook Packages: Computer ScienceComputer Science (R0)