Multidimensional Models of Microaggressions and Microaffirmations

2018 ◽  
pp. 32-47
Author(s):  
James M. Jones ◽  
Rosalie Rolón-Dow
2009 ◽  
Vol 08 (01) ◽  
pp. 53-66
Author(s):  
Yun-jie (Calvin) Xu ◽  
Kai Huang (Joseph) Tan

User studies in information science have recognised relevance as a multidimensional construct. An implication of multidimensional relevance is that a user's information need should be modeled by multiple data structures to represent different relevance dimensions. While the extant literature has attempted to model multiple dimensions of a user's information need, the fundamental assumption that a multidimensional model is better than a uni-dimensional model has not been addressed. This study seeks to test this assumption. Our results indicate that a retrieval system that models both topicality and the novelty dimension of a users' information need outperforms a system with a uni-dimensional model.


IET Software ◽  
2013 ◽  
Vol 7 (2) ◽  
pp. 93-103 ◽  
Author(s):  
Anjana Gosain ◽  
Sushama Nagpal ◽  
Sangeeta Sabharwal

Author(s):  
Juan Trujillo ◽  
Sergio Lujan-Mora ◽  
Il-Yeol Song

Data warehouses (DW), multidimensional databases (MDB), and OnLine Analytical Processing (OLAP) applications are based on the Multidimensional (MD) modeling. Most of these applications provide their own MD models to represent main MD properties, thereby making the design totally dependent of the target commercial application. In this chapter, we present how the Unified Modeling Language (UML) can be successfully used to abstract the representation of MD properties at the conceptual level. Then, from this conceptual model, we generate its corresponding implementation into any market OLAP tool. In our approach, the structure of the system is specified by means of a UML class diagram that considers main properties of MD modeling. If the system to be modeled is too complex, we describe how to use the package grouping mechanism provided by the UML to simplify the final model. To facilitate the interchange of conceptual MD models, we provide an eXtensible Markup Language (XML) Schema which allows us to represent the same MD modeling properties that can be considered by using our approach. From this XML Schema, we can directly generate valid XML documents that represent MD models at the conceptual level. Finally, we provide different presentations of the MD models by means of eXtensible Stylesheet Language Transformations (XSLT).


Author(s):  
Tomas Björk

In this chapter we study a very general multidimensional Wiener-driven model using the martingale approach. Using the Girsanov Theorem we derive the martingale equation which is used to find an equivalent martingale measure. We provide conditions for absence of arbitrage and completeness of the model, and we discuss hedging and pricing. For Markovian models we derive the relevant pricing PDE and we also provide an explicit representation formula for the stochastic discount factor. We discuss the relation between the market price of risk and the Girsanov kernel and finally we derive the Hansen–Jagannathan bounds for the Sharpe ratio.


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