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An axiomatic approach for result diversification

Sreenivas Gollapudi, Aneesh Sharma
2009 Proceedings of the 18th international conference on World wide web - WWW '09  
In analogy to prior work on ranking and clustering systems, we use the axiomatic approach to characterize and design diversification systems.  ...  We also uncover a rich link to the facility dispersion problem that results in algorithms for a number of diversification objectives.  ...  Acknowledgments We would like to thank Kunal Talwar for helpful discussions, and Panayiotis Tsaparas for providing data and helping us with the classification of product queries.  ... 
doi:10.1145/1526709.1526761 dblp:conf/www/GollapudiS09 fatcat:sfbp2hzwl5bddnwscvpd7t4xzy

Exploiting concept hierarchy for result diversification

Wei Zheng, Hui Fang, Conglei Yao
2012 Proceedings of the 21st ACM international conference on Information and knowledge management - CIKM '12  
We then apply axiomatic approaches to derive a structural diversification method that can leverage the subtopic relations in result diversification.  ...  Experimental results over an enterprise collection show that the relations among query subtopics are useful to improve the diversification performance.  ...  We then use an axiomatic approach to derive a structural similarity function for subtopics based on their structural relations on the con-cept hierarchy.  ... 
doi:10.1145/2396761.2398529 dblp:conf/cikm/ZhengFY12 fatcat:acnaxuxe2nb7vdtwq72qz7wtvi

Naive Diversification Preferences and their Representation

Enrico G. De Giorgi, Ola Mahmoud
2016 Social Science Research Network  
This article provides mathematically and economically sound choice theoretic foundations for the naive approach to diversification.  ...  We axiomatize naive diversification by defining it as a preference for equality over inequality, derive its relationship to the classical diversification paradigm, and provide a utility representation.  ...  Axiomatically, preference for diversification is formalized as follows; see Dekel (1989) . Definition 4 (Preference for diversification).  ... 
doi:10.2139/ssrn.2864231 fatcat:zzwcx7pzdjfi5p5nu5fvvi5bay

Naive Diversification Preferences and their Representation [article]

Enrico G. De Giorgi, Ola Mahmoud
2016 arXiv   pre-print
This article provides mathematically and economically sound choice theoretic foundations for the naive approach to diversification.  ...  We axiomatize naive diversification by defining it as a preference for equality over inequality and derive its relationship to the classical diversification paradigm.  ...  The goal of our choice-theoretic approach is threefold: First, by developing an axiomatic system for what is considered to be an "irrational" choice paradigm such as naive diversification, we can justify  ... 
arXiv:1611.01285v2 fatcat:mio426qf6zbozbvvsunhjryzfe

Diversification Preferences in the Theory of Choice

Enrico G. De Giorgi, Ola Mahmoud
2015 Social Science Research Network  
Within the theory of choice, desirability of diversification is axiomatized as preference for a convex combination of choices that are equivalently ranked.  ...  This paper analyzes axiomatizations of the concept of diversification and their relationship to the related notions of risk aversion and convex preferences within different choice theoretic models.  ...  An immediate consequence of this result is that convexity of preferences, or equivalently preference for diversification, implies strong risk aversion.  ... 
doi:10.2139/ssrn.2627970 fatcat:2uc5lmuyk5gptpr5hgunh6qdwi

Diversification preferences in the theory of choice

Enrico G. De Giorgi, Ola Mahmoud
2016 Decisions in Economics and Finance  
Within the theory of choice, desirability of diversification is axiomatized as preference for a convex combination of choices that are equivalently ranked.  ...  This paper analyzes axiomatizations of the concept of diversification and their relationship to the related notions of risk aversion and convex preferences within different choice theoretic models.  ...  An immediate consequence of this result is that convexity of preferences, or equivalently preference for diversification, implies strong risk aversion.  ... 
doi:10.1007/s10203-016-0182-4 fatcat:4wbejhkdwzhurmurb4o3ijq7lm

Diversification Preferences in the Theory of Choice [article]

Enrico G. De Giorgi, Ola Mahmoud
2016 arXiv   pre-print
Within the theory of choice, desirability of diversification is axiomatized as preference for a convex combination of choices that are equivalently ranked.  ...  This paper studies axiomatizations of the concept of diversification and their relationship to the related notions of risk aversion and convex preferences within different choice theoretic models.  ...  An immediate consequence of this result is that convexity of preferences, or equivalently preference for diversification, implies strong risk aversion.  ... 
arXiv:1507.02025v3 fatcat:bnnnpqnmtndsllcbunwhqshlne

An Axiomatic Analysis of Diversity Evaluation Metrics

Enrique Amigó, Damiano Spina, Jorge Carrillo-de-Albornoz
2018 The 41st International ACM SIGIR Conference on Research & Development in Information Retrieval - SIGIR '18  
Axiomatic analysis is an informative mechanism to understand the fundamentals of metrics and their suitability for particular scenarios.  ...  In this paper, we define a constraint-based axiomatic framework to study the suitability of existing metrics in search result diversification scenarios.  ...  The authors wish to thank the reviewers for their valuable feedback.  ... 
doi:10.1145/3209978.3210024 dblp:conf/sigir/AmigoSA18 fatcat:4w6pugqbmjecnnq46fndzf7yzm

Connectedness versus diversification: two sides of the same coin

Maria-Laura Torrente, Pierpaolo Uberti
2021 Mathematics and Financial Economics  
Starting from the respective axiomatic definitions, we prove that a class of proper measures of connectedness verifies, after a suitable functional transformation, the axiomatic requirements for a measure  ...  In this paper we propose a theoretical approach to bring to light the relation between connectedness and diversification.  ...  Recently, an attempt to formalize the concept of connectedness through an axiomatic approach has been proposed in Maggi et al. [18] .  ... 
doi:10.1007/s11579-021-00291-4 fatcat:toqjmndiqbep3h544ftmqhkug4

Diversifies XML Keyword Search Based on its Different Contexts in the XML Data

2015 International Journal of Science and Research (IJSR)  
In which give an overview of the state-of-the-art techniques for sustaining keyword search on structured and semistructured data[2], including query result definition, result generation and top-k query  ...  To address this problem, propose an approach that diversifies XML keyword search based on XML data.  ...  This work presents an approach to characterizing diversification systems using an empirical analysis.  ... 
doi:10.21275/v4i12.nov152535 fatcat:whgxcgsddnagtd3wgi2pujufd4

AN AXIOMATIC APPROACH TO CAPITAL ALLOCATION

Michael Kalkbrener
2005 Mathematical Finance  
In this paper we propose an axiom system for capital allocation and analyze its satisfiability and completeness: it is shown that for a given risk measure ρ there exists a capital allocation Λ ρ which  ...  We apply the axiomatization to the most popular risk measures in the finance industry in order to derive explicit capital allocation formulae for these measures.  ...  The following definition formalizes these principles (see Denault (2001) for an alternative axiomatic approach). DEFINITION 2.1. Let ρ : V → R.  ... 
doi:10.1111/j.1467-9965.2005.00227.x fatcat:injdn3p27nhkvang4tmn7gr45a

USING THE SHAPLEY VALUE APPROACH TO VARIANCE DECOMPOSITION IN STRATEGY RESEARCH: DIVERSIFICATION, INTERNATIONALIZATION, AND CORPORATE GROUP EFFECTS ON AFFILIATE PROFITABILITY

Dmitry Sharapov, Paul Kattuman, Diego Rodriguez, F. Javier Velazquez
2020 Strategic Management Journal  
In this paper, we propose the use of an axi-  ...  However, most extant approaches produce estimates that depend on the order in which sources are considered, the ways they are nested, and which sources are treated as fixed or random effects.  ...  ACKNOWLEDGEMENTS The authors are grateful for the suggestions and guidance of associate editor Sea-Jin Chang and three anonymous reviewers.  ... 
doi:10.1002/smj.3236 fatcat:5ehz6lcphbelromt25sdcy73ba

Managing Economic and Virtual Economic Capital Within Financial Conglomerates

Marc J. Goovaerts, Eddy Van den Borre, Roger J. A. Laeven
2005 North American Actuarial Journal  
We show furthermore that the absolute allocation approach can also be applied to the problem of optimal portfolio selection, extending the well-known Markovitz approach and providing a tool for management  ...  We show that the diversification benefit which is typically obtained in a conglomerate construction, creates a virtual economic capital for subsidiaries within the conglomerate.  ...  We refer to Yaari (1987) and Wang, Young and Panjer (1997) for an axiomatic characterization of distortion risk measures.  ... 
doi:10.1080/10920277.2005.10596212 fatcat:iauyggclurdrpa5dw32yekohzi

Separating the Impacts of Crop Diversification and Rotations on Risk

Glenn A. Helmers, Charles F. Yamoah, Gary E. Varvel
2001 Agronomy Journal  
Using an ARS-University of Nebraska series of yields for corn (Zea mays L.) and soybean [Glycine max (L.)  ...  Diversification was found to contribute to part of this reduction while higher yields and reduced cost contributed to the remainder.  ...  Comparing the risk results for both monoculture systems with the diversification system (Table 2 ) again demonstrates the benefits of diversification on risk.  ... 
doi:10.2134/agronj2001.1337 fatcat:dtw4utj26nfkjozvubesbjflvu

Comparing validity of risk measures on newsvendor models in open innovation perspective

Sungyong Choi, KyungBae Park, Sang-Oh Shim
2018 Journal of Open Innovation: Technology, Market and Complexity  
Then we provide a logical reasoning and axiomatic framework to evaluate validity of each risk measure in newsvendor problems -consistency to the four axioms in coherent risk measures.  ...  In this framework, the underlying assumptions and managerial insights to the newsvendor problems are examined for each risk measure.  ...  analyze newsvendor model by the consideration with the axiomatic approach.  ... 
doi:10.1186/s40852-017-0078-8 fatcat:bmtm56hjajdhfiakchuroba6oi
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