-
Boldi, P.; Santini, M.; Vigna, S.: PageRank as a function of the damping factor (2005)
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- Abstract
- PageRank is defined as the stationary state of a Markov chain. The chain is obtained by perturbing the transition matrix induced by a web graph with a damping factor alpha that spreads uniformly part of the rank. The choice of alpha is eminently empirical, and in most cases the original suggestion alpha=0.85 by Brin and Page is still used. Recently, however, the behaviour of PageRank with respect to changes in alpha was discovered to be useful in link-spam detection. Moreover, an analytical justification of the value chosen for alpha is still missing. In this paper, we give the first mathematical analysis of PageRank when alpha changes. In particular, we show that, contrarily to popular belief, for real-world graphs values of alpha close to 1 do not give a more meaningful ranking. Then, we give closed-form formulae for PageRank derivatives of any order, and an extension of the Power Method that approximates them with convergence O(t**k*alpha**t) for the k-th derivative. Finally, we show a tight connection between iterated computation and analytical behaviour by proving that the k-th iteration of the Power Method gives exactly the PageRank value obtained using a Maclaurin polynomial of degree k. The latter result paves the way towards the application of analytical methods to the study of PageRank.
- Date
- 16. 1.2016 10:22:28
-
Zanibbi, R.; Yuan, B.: Keyword and image-based retrieval for mathematical expressions (2011)
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- Abstract
- Two new methods for retrieving mathematical expressions using conventional keyword search and expression images are presented. An expression-level TF-IDF (term frequency-inverse document frequency) approach is used for keyword search, where queries and indexed expressions are represented by keywords taken from LATEX strings. TF-IDF is computed at the level of individual expressions rather than documents to increase the precision of matching. The second retrieval technique is a form of Content-Base Image Retrieval (CBIR). Expressions are segmented into connected components, and then components in the query expression and each expression in the collection are matched using contour and density features, aspect ratios, and relative positions. In an experiment using ten randomly sampled queries from a corpus of over 22,000 expressions, precision-at-k (k= 20) for the keyword-based approach was higher (keyword: µ= 84.0,s= 19.0, image-based:µ= 32.0,s= 30.7), but for a few of the queries better results were obtained using a combination of the two techniques.
- Date
- 22. 2.2017 12:53:49
-
Hegna, K.: Using FRBR (2004)
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-
Popper, K.R.: Three worlds : the Tanner lecture on human values. Deliverd at the University of Michigan, April 7, 1978 (1978)
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- Source
- https%3A%2F%2Ftannerlectures.utah.edu%2F_documents%2Fa-to-z%2Fp%2Fpopper80.pdf&usg=AOvVaw3f4QRTEH-OEBmoYr2J_c7H
-
Van der Veer Martens, B.: Do citation systems represent theories of truth? (2001)
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- Date
- 22. 7.2006 15:22:28
-
Dunning, A.: Do we still need search engines? (1999)
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- Source
- Ariadne. 1999, no.22
-
Roose, K.: ¬The brilliance and weirdness of ChatGPT (2022)
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-
Chessum, K.; Haiming, L.; Frommholz, I.: ¬A study of search user interface design based on Hofstede's six cultural dimensions (2022)
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-
Qin, J.; Paling, S.: Converting a controlled vocabulary into an ontology : the case of GEM (2001)
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- Date
- 24. 8.2005 19:20:22
-
Anutariya, C.; Wuwongse, K.; Akama, E.; Nantajeewarawat, E.: RDF Declarative Description (RDD) : A Language for Metadata (2002)
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-
Wen, D.; Sakaguchi, T.; Sugimoto, S.; Tabata, K.: Multilingual Access to Dublin Core Metadata of ULIS Library (2002)
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-
McGrath, K.: Thoughts on FRBR and moving images (2014)
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-
Guidi, F.; Sacerdoti Coen, C.: ¬A survey on retrieval of mathematical knowledge (2015)
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- Date
- 22. 2.2017 12:51:57
-
Sojka, P.; Liska, M.: ¬The art of mathematics retrieval (2011)
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- Content
- Vgl.: DocEng2011, September 19-22, 2011, Mountain View, California, USA Copyright 2011 ACM 978-1-4503-0863-2/11/09
- Date
- 22. 2.2017 13:00:42
-
Mitchell, J.S.; Zeng, M.L.; Zumer, M.: Modeling classification systems in multicultural and multilingual contexts (2012)
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- Abstract
- This paper reports on the second part of an initiative of the authors on researching classification systems with the conceptual model defined by the Functional Requirements for Subject Authority Data (FRSAD) final report. In an earlier study, the authors explored whether the FRSAD conceptual model could be extended beyond subject authority data to model classification data. The focus of the current study is to determine if classification data modeled using FRSAD can be used to solve real-world discovery problems in multicultural and multilingual contexts. The paper discusses the relationships between entities (same type or different types) in the context of classification systems that involve multiple translations and /or multicultural implementations. Results of two case studies are presented in detail: (a) two instances of the DDC (DDC 22 in English, and the Swedish-English mixed translation of DDC 22), and (b) Chinese Library Classification. The use cases of conceptual models in practice are also discussed.
-
Danskin, A.; Gryspeerdt, K.: Changing the Rules? : RDA and cataloguing in Europe. (2014)
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Lindholm, J.; Schönthal, T.; Jansson , K.: Experiences of harvesting Web resources in engineering using automatic classification (2003)
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-
Gödert, W.; Lepsky, K.: Reception of externalized knowledge : a constructivistic model based on Popper's Three Worlds and Searle's Collective Intentionality (2019)
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Gomez, J.; Allen, K.; Matney, M.; Awopetu, T.; Shafer, S.: Experimenting with a machine generated annotations pipeline (2020)
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-
Bensman, S.J.: Eugene Garfield, Francis Narin, and PageRank : the theoretical bases of the Google search engine (2013)
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- Date
- 17.12.2013 11:02:22
