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.
There is a tremendous body of work on ranking documents in information retrieval, and learning how to rank documents given user preferences (see Liu @cite_36 for a comprehensive survey). That work has considered aspects such as different ranking models, loss functions, different scoring techniques etc. The techniques developed there tend to be specific to document retrieval (focusing on keywords, terms, and relevance), and usually do not deal with existence uncertainty (although they often do model document relevance as a random variable). Furthermore, our work here primarily focuses on highly efficient algorithms for ranking using a spectrum of different ranking functions. Exploring and understanding the connections between the two research areas is a fruitful direction for further research.
@cite_36
2037098674 2159545104 2785013514 1975998118
Traditionally, information retrieval systems aim to maximize thenumber of relevant documents returned to a user within some windowof the top. For that goal, the probability ranking principle, whichranks documents in decreasing order of probability of relevance, isprovably optimal. However, there are many scenarios in which thatranking does not optimize for the users information need. Oneexample is when the user would be satisfied with some limitednumber of relevant documents, rather than needing all relevantdocuments. We show that in such a scenario, an attempt to returnmany relevant documents can actually reduce the chances of findingany relevant documents. We consider a number of information retrieval metrics from theliterature, including the rank of the first relevant result, the no metric that penalizes a system only for retrieving no relevantresults near the top, and the diversity of retrieved results whenqueries have multiple interpretations. We observe that given aprobabilistic model of relevance, it is appropriate to rank so asto directly optimize these metrics in expectation. While doing somay be computationally intractable, we show that a simple greedyoptimization algorithm that approximately optimizes the givenobjectives produces rankings for TREC queries that outperform thestandard approach based on the probability ranking principle. Ranking a set of retrieved documents according to their relevance to a query is a popular problem in information retrieval. Methods that learn ranking functions are difficult to optimize, as ranking performance is typically judged by metrics that are not smooth. In this paper we propose a new listwise approach to learning to rank. Our method creates a conditional probability distribution over rankings assigned to documents for a given query, which permits gradient ascent optimization of the expected value of some performance measure. The rank probabilities take the form of a Boltzmann distribution, based on an energy function that depends on a scoring function composed of individual and pairwise potentials. Including pairwise potentials is a novel contribution, allowing the model to encode regularities in the relative scores of documents; existing models assign scores at test time based only on individual documents, with no pairwise constraints between documents. Experimental results on the LETOR3.0 data set show that our method out-performs existing learning approaches to ranking. The problem of ranking the documents according to their relevance to a given query is a hot topic in information retrieval. Most learning-to-rank methods are supervised and use human editor judgements for learning. In this paper, we introduce novel pairwise method called YetiRank that modifies Friedman's gradient boosting method in part of gradient computation for optimization and takes uncertainty in human judgements into account. Proposed enhancements allowed YetiRank to outperform many state-of-the-art learning to rank methods in offline experiments as well as take the first place in the second track of the Yahoo! learning-to-rank contest. Even more remarkably, the first result in the learning to rank competition that consisted of a transfer learning task was achieved without ever relying on the bigger data from the "transfer-from" domain. Abstract One of the most important problems in information retrieval is determining the order of documents in the answer returned to the user. Many methods and algorithms for document ordering have been proposed. The method introduced in this paper differs from them especially in that it uses a probabilistic model of a document set. In this model documents are regarded as states of a Markov chain, where transition probabilities are directly proportional to similarities between documents. Steady-state probabilities reflect similarities of particular documents to the whole answer set. If documents are ordered according to these probabilities, at the top of a list there will be documents that are the best representatives of the set, and at the bottom those which are the worst representatives. The method was tested against databases INSPEC and Networked Computer Science Technical Reference Library (NCSTRL). Test results are positive. Values of the Kendall rank correlation coefficient indicate high similarity between rankings generated by the proposed method and rankings produced by experts. Results are comparable with rankings generated by the vector model using standard weighting schema tf·idf.