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A Unified Approach to Ranking in Probabilistic Databases (0904.1366v4)

Published 8 Apr 2009 in cs.DB and cs.DS

Abstract: The dramatic growth in the number of application domains that naturally generate probabilistic, uncertain data has resulted in a need for efficiently supporting complex querying and decision-making over such data. In this paper, we present a unified approach to ranking and top-k query processing in probabilistic databases by viewing it as a multi-criteria optimization problem, and by deriving a set of features that capture the key properties of a probabilistic dataset that dictate the ranked result. We contend that a single, specific ranking function may not suffice for probabilistic databases, and we instead propose two parameterized ranking functions, called PRF-w and PRF-e, that generalize or can approximate many of the previously proposed ranking functions. We present novel generating functions-based algorithms for efficiently ranking large datasets according to these ranking functions, even if the datasets exhibit complex correlations modeled using probabilistic and/xor trees or Markov networks. We further propose that the parameters of the ranking function be learned from user preferences, and we develop an approach to learn those parameters. Finally, we present a comprehensive experimental study that illustrates the effectiveness of our parameterized ranking functions, especially PRF-e, at approximating other ranking functions and the scalability of our proposed algorithms for exact or approximate ranking.

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Authors (3)
  1. Jian Li (667 papers)
  2. Barna Saha (43 papers)
  3. Amol Deshpande (31 papers)
Citations (195)

Summary

A Unified Approach to Ranking in Probabilistic Databases

In recent years, there has been significant interest in ranking within the context of probabilistic databases due to the growing presence of uncertainty in data across various domains. Probabilistic data arises from inherent uncertainties in data collection processes, like sensor data, social network analysis, and information retrieval. Traditional ranking techniques fail to address these uncertainties, necessitating new approaches to evaluate and rank uncertain data effectively.

The paper "A Unified Approach to Ranking in Probabilistic Databases" introduces a comprehensive framework to address the challenges of ranking within this context. It begins by identifying that traditional ranking methods, which might suffice for deterministic databases, are often inadequate for probabilistic datasets. Instead, the authors propose a multi-criteria optimization approach that relies on parameterized ranking functions (PRFs) to capture the intrinsic properties of probabilistic datasets influencing the ranking outcomes.

Two specific parameterized ranking functions, PRFw and PRFe, are introduced. PRFw is a general framework that can model various existing ranking techniques. PRFe, on the other hand, is a refined method facilitating efficient computation and approximation of ranking for complex datasets in uncertain environments. These functions allow flexibility and adaptability to various ranking scenarios by adjusting parameters based on user preferences or applications' requirements.

A novel contribution of this paper is the development of generating functions-based algorithms which optimize the ranking process in probabilistic datasets, especially when complex correlations modeled using probabilistic and/xor trees or Markov networks are present. This approach allows for efficient ranking even in the face of significant dataset correlations.

Additionally, the paper discusses an approach to learn the parameters of these ranking functions from user preferences. This learning component is essential for customizing the ranking process to align closely with user expectations or industry standards, making the method practically viable across different use cases.

The authors further provide an extensive experimental paper demonstrating the effectiveness of PRFw and PRFe in approximating other existing ranking functions while highlighting the computational scalability of their algorithms for both exact and approximate ranking tasks. The results illustrate that PRFe, in particular, offers an effective balance between computational efficiency and ranking accuracy.

The implications of this research are substantial both practically and theoretically. On the practical front, the proposed methods enable more accurate rankings in applications involving uncertain data, thus improving decision support systems' performance. Theoretically, the paper enriches the discourse on ranking in probabilistic databases by offering a unified framework that could be adapted to evolving scenarios involving uncertain data.

Looking forward, future developments in AI could be informed by expanding these techniques to accommodate more complex probabilistic models or integrating machine learning methods to further enhance the parameter learning process, thereby pushing the boundaries of what is achievable in probabilistic data analysis.

This paper significantly contributes to both the foundational understanding and practical application of ranking in probabilistic databases, offering a novel perspective and methodology that meet the contemporary challenges posed by uncertain data. The unified approach and generating function-based ranking algorithms represent a pivotal step towards addressing the inherent complexities of ranking in uncertain environments, thus paving the way for more robust data-driven decision-making processes.