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Reformulating Dynamic Linear Constraint Satisfaction Problems as Weighted CSPs for Searching Robust Solutions
Climent, Laura (Universidad Politécnica de Valencia) | Salido, Miguel Ángel (Universidad Politécnica de Valencia) | Barber, Federico (Universidad Politécnica de Valencia)
Constraint programming is a successful technology for solving combinatorial problems modeled as constraint satisfaction problems (CSPs). Many real life problems come from uncertain and dynamic environments, which means that the initial description of the problem may change during its execution. In these cases, the solution found for a problem may become invalid. The search of robust solutions for dynamic CSPs (DynCSPs) has become an important issue in the field of constraint programming. In this paper we reformulate DynCSPs withlinear constraints as weighted CSPs (WCSPs), and we present an approach that searches for robust solutions in problems without associated information about possible future changes. Thus, the best solution for a modeled WCSP will be a robust solution for the original DynCSP.
Does Representation Matter in the Planning Competition?
Riddle, Patricia J. (University of Auckland) | Holte, Robert C. (University of Alberta) | Barley, Michael W. (University of Auckland)
This paper explores six different representations of the BlocksWorld Domain. It compares the results of seven planners run on these representations. It shows that the rankings for the International Planning Competition, using the non-satisficing scoring function, would change for every representation.
Reformulating the Dual Graphs of CSPs to Improve the Performance of Relational Neighborhood Inverse Consistency
Woodward, Robert J. (University of Nebraska-Lincoln) | Karakashian, Shant (University of Nebraska-Lincoln) | Choueiry, Berthe Y. (University of Nebraska-Lincoln) | Bessiere, Christian (University of Montpellier)
Freuder and Elfe (1996) introduced Neighborhood Inverse Consistency (NIC) as a new local consistency property for binary Constraint Satisfaction Problems (CSPs). Two advantages of the algorithm for enforcing NIC is that it automatically adapts its filtering power to the local connectivity of the network and has insignificant space overhead. However, studies on binary CSPs have shown that enforcing NIC is not effective on sparse graphs and too costly on dense graphs. In (Woodward et al. 2011), we introduced an algorithm for enforcing Relational Neighborhood Inverse Consistency (RNIC), which is an extension of NIC to non-binary CSPs. In this paper, we discuss how we enhance the propagation effectiveness of our algorithm and reduce its computational cost by reformulating the dual graph of the CSP. For that purpose, we describe two reformulation techniques that modify the topology of the dual graph without affecting the solution set of the problem. We present the two reformulations and their combinations, and discuss their effects on the consistency property enforced by the algorithm. We also describe a selection policy that nicely ties together the various components of our approach in a consistent, adaptive framework. Finally, we show that our automated selection policy outperforms all approaches in a statistically significant manner.
Satisfiability Modulo Theories: An Efficient Approach for the Resource-Constrained Project Scheduling Problem
Ansótegui, Carlos (Universitat de Lleida) | Bofill, Miquel (Universitat de Girona) | Palahí, Miquel (Universitat de Girona) | Suy, Josep (Universitat de Girona) | Villaret, Mateu (Universitat de Girona)
The Resource-Constrained Project Scheduling Problem (RCPSP) and some of its extensions have been widely studied. Many approaches have been considered to solve this problem: constraint programming (CP), Boolean satisfiability (SAT), mixed integer linear programming (MILP), branch and bound algorithms (BB) and others. In this paper, we present a new approach for solving this problem: satisfiability modulo theories (SMT). Solvers for SMT generalize SAT solving by adding the ability to handle arithmetic and other theories. We provide several encodings of the RCPSP into SMT, and introduce rcp2smt, a tool for solving RCPSP instances using SMT solvers, which exhibits good performance.
Extracting Topological Information from Spatial Constraint Databases
Wu, Shasha (Spring Arbor University) | Revesz, Peter (University of Nebraska - Lincoln)
This paper presents an efficient topology information extraction algorithm that is capable of extracting primary topological relations, such as, interior, boundary, and exterior from a single spatial or spatio-temporal object stored in a linear constraint database. Any non-spatial constraints will be preserved so that the input spatio-temporal object’s temporal constraints will not be sacrificed by the algorithm. Based on the three primary topological relations, more topological relations between regions, lines, and points can be defined in a constraint database for future spatial analysis.
A Theory of Abstraction for Diagnosis of Discrete-Event Systems
Grastien, Alban (NICTA and the Australian National University, Canberra) | Torta, Gianluca (Dipartimento di Informatica, Università)
We propose a theory of abstraction of discrete-event systems (DES) formulated at the semantic level, i.e., as a function that maps event traces at the original (ground) level to traces at the abstract level. We study how diagnosis of DES can be performed using an abstract model, and under which conditions this process leads to a correct solution (i.e., a set of alternative diagnoses that include the real status of the system). Finally, we study how the use of an abstract model can affect the precision of diagnosis, i.e., the presence of spurious system states in the solution. To this end, we introduce the notion of diagnosability with abstract models, which ensures the precision of abstract diagnoses, and we discuss a practical way to test it.
Planning with State Uncertainty via Contingency Planning and Execution Monitoring
Wang, Minlue (University of Birmingham) | Dearden, Richard (University of Birmingham)
An example is a Mars rover: The major problem with applying POMDP approaches to thanks to low-level control and obstacle avoidance, rovers realistic planning problems like the Mars rovers is the sheer can be expected to reach their destinations reliably, and can size of the problems. Using point-based approximations and collect and communicate data, but they do not know in advance structured representations similar to those used in classical which science targets are interesting and hence will planning (Poupart 2005), problems with tens of millions provide valuable data. Similarly, robots performing tasks of states can be solved approximately, but even that corresponds such as security or cognitive assistance are generally able to to a classical planning problem with only 25 binary navigate reliably, but use unreliable vision algorithms to detect variables, which is a quite small problem by the standards the people and objects with which they are supposed of classical deterministic planning. The alternative we propose to interact. Following Besse and Chaib-draa (2009), we in this paper is to construct a series of classical deterministic will refer to problems with deterministic actions but stochastic planning problems from the quasi-deterministic observations as quasi-deterministic problems, which differ problem. By solving each of these deterministic problems from Deterministic-POMDPs (DET-POMDPS) (Bonet we construct a contingent plan--one that contains branches 2009) by taking into account of uncertainty from observation to be chosen between at run-time.
Reformulation for the Diagnosis of Discrete-Event Systems
Grastien, Alban (NICTA and the Australian National University, Canberra) | Torta, Gianluca (Dipartimento di Informatica, Università)
Moreover, all of the of a system and, after detection, to determine the location faults that occurred within the (possibly extended) time interval and/or the type of system faults that caused the abnormal during which the system has been observed must be behaviour. A diagnosis hypothesis indicates which fault(s) accounted for in the diagnosis. Considering again the diagnosis occurred in the system, and the diagnosis is the set of alternative of a car, for each component we could be interested hypotheses that explain (i.e., are compatible) with in knowing whether a fault has occurred to it during the last the observed system behaviour. In this paper, we focus on week; in such a case, it is difficult to perform a drastic abstraction Model-Based Diagnosis (MBD) of Discrete-Event Systems of the model without losing any precision in the (DESs, see (Cassandras and Lafortune 1999)), where the diagnosis discrimination among different hypotheses. is computed by comparing a complete DES model In this article, we study a novel approach to reduce the of the system behaviour with a (partial) observation of the complexity of DES diagnosis, based on a reformulation of actual system behaviour (Sampath et al. 1995).
Automatic Synthesis of Temporal Invariants
Bernardini, Sara (London Knowledge Lab) | Smith, David E. (NASA Ames Research Center)
We present a technique for automatically extracting temporal mutual exclusion invariants from PDDL2.2 planning instances. Our technique builds on other approaches to invariant synthesis presented in the literature, but departs from their limited focus on instantaneous discrete actions by addressing temporal and numeric domains. To deal with time, we formulate invariance conditions that account for both the entire structure of the operators (including the conditions, rather than just the effects) and the possible interactions between operators.
Classifying Scientific Publications Using Abstract Features
Caragea, Cornelia (Pennsylvania State University) | Silvescu, Adrian (Naviance Inc.) | Kataria, Saurabh (Pennsylvania State University) | Caragea, Doina (Kansas State University) | Mitra, Prasenjit (Pennsylvania State University)
With the exponential increase in the number of documents available online, e.g., news articles, weblogs, scientific documents, effective and efficient classification methods are required in order to deliver the appropriate information to specific users or groups. The performance of document classifiers critically depends, among other things, on the choice of the feature representation. The commonly used "bag of words" representation can result in a large number of features. Feature abstraction helps reduce a classifier input size by learning an abstraction hierarchy over the set of words. A cut through the hierarchy specifies a compressed model, where the nodes on the cut represent abstract features. In this paper, we compare feature abstraction with two other methods for dimensionality reduction, i.e., feature selection and Latent Dirichlet Allocation (LDA). Experimental results on two data sets of scientific publications show that classifiers trained using abstract features significantly outperform those trained using features that have the highest average mutual information with the class, and those trained using the topic distribution and topic words output by LDA. Furthermore, we propose an approach to automatic identification of a cut in order to trade off the complexity of classifiers against their performance. Our results demonstrate the feasibility of the proposed approach.