19,709 research outputs found
Quasi-SLCA based Keyword Query Processing over Probabilistic XML Data
The probabilistic threshold query is one of the most common queries in
uncertain databases, where a result satisfying the query must be also with
probability meeting the threshold requirement. In this paper, we investigate
probabilistic threshold keyword queries (PrTKQ) over XML data, which is not
studied before. We first introduce the notion of quasi-SLCA and use it to
represent results for a PrTKQ with the consideration of possible world
semantics. Then we design a probabilistic inverted (PI) index that can be used
to quickly return the qualified answers and filter out the unqualified ones
based on our proposed lower/upper bounds. After that, we propose two efficient
and comparable algorithms: Baseline Algorithm and PI index-based Algorithm. To
accelerate the performance of algorithms, we also utilize probability density
function. An empirical study using real and synthetic data sets has verified
the effectiveness and the efficiency of our approaches
Probabilistic Logic Programming with Beta-Distributed Random Variables
We enable aProbLog---a probabilistic logical programming approach---to reason
in presence of uncertain probabilities represented as Beta-distributed random
variables. We achieve the same performance of state-of-the-art algorithms for
highly specified and engineered domains, while simultaneously we maintain the
flexibility offered by aProbLog in handling complex relational domains. Our
motivation is that faithfully capturing the distribution of probabilities is
necessary to compute an expected utility for effective decision making under
uncertainty: unfortunately, these probability distributions can be highly
uncertain due to sparse data. To understand and accurately manipulate such
probability distributions we need a well-defined theoretical framework that is
provided by the Beta distribution, which specifies a distribution of
probabilities representing all the possible values of a probability when the
exact value is unknown.Comment: Accepted for presentation at AAAI 201
Multi-Objective Approaches to Markov Decision Processes with Uncertain Transition Parameters
Markov decision processes (MDPs) are a popular model for performance analysis
and optimization of stochastic systems. The parameters of stochastic behavior
of MDPs are estimates from empirical observations of a system; their values are
not known precisely. Different types of MDPs with uncertain, imprecise or
bounded transition rates or probabilities and rewards exist in the literature.
Commonly, analysis of models with uncertainties amounts to searching for the
most robust policy which means that the goal is to generate a policy with the
greatest lower bound on performance (or, symmetrically, the lowest upper bound
on costs). However, hedging against an unlikely worst case may lead to losses
in other situations. In general, one is interested in policies that behave well
in all situations which results in a multi-objective view on decision making.
In this paper, we consider policies for the expected discounted reward
measure of MDPs with uncertain parameters. In particular, the approach is
defined for bounded-parameter MDPs (BMDPs) [8]. In this setting the worst, best
and average case performances of a policy are analyzed simultaneously, which
yields a multi-scenario multi-objective optimization problem. The paper
presents and evaluates approaches to compute the pure Pareto optimal policies
in the value vector space.Comment: 9 pages, 5 figures, preprint for VALUETOOLS 201
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