Discovering the set of closed frequent patterns is one of the fundamental problems in Data Mining. Recent constraintprogramming (cp) approaches for declarative itemset mining have proven their usefulness and flexibil...
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ISBN:
(纸本)9783319449531;9783319449524
Discovering the set of closed frequent patterns is one of the fundamental problems in Data Mining. Recent constraintprogramming (cp) approaches for declarative itemset mining have proven their usefulness and flexibility. But the wide use of reified constraints in current cp approaches leads to difficulties in coping with high dimensional datasets. In this paper, we propose the CLOSEDPATTERN global constraint to capture the closed frequent pattern mining problem without requiring reified constraints or extra variables. We present an algorithm to enforce domain consistency on CLOSEDPATTERN in polynomial time. The computational properties of this algorithm are analyzed and its practical effectiveness is experimentally evaluated.
Inspired by the geometric reasoning exploited in discrete ellipsoid-based search (DEBS) from the communications literature, we develop a constraintprogramming (cp) approach to solve problems with strictly convex quad...
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ISBN:
(纸本)9783319449531;9783319449524
Inspired by the geometric reasoning exploited in discrete ellipsoid-based search (DEBS) from the communications literature, we develop a constraintprogramming (cp) approach to solve problems with strictly convex quadratic constraints. Such constraints appear in numerous applications such as modelling the ground-to-satellite distance in global positioning systems and evaluating the efficiency of a schedule with respect to quadratic objective functions. We strengthen the key aspects of the DEBS approach and implement them as combination of a global constraint and variable/value ordering heuristics in IBM ILOG cp Optimizer. Experiments on a variety of benchmark instances show significant improvement compared to the default settings and state-of-the-art performance compared to competing technologies of mixed integer programming, semi-definite programming, and mixed integer nonlinear programming.
We search for alternative musical scales that share the main advantages of classical scales: pitch frequencies that bear simple ratios to each other, and multiple keys based on an underlying chromatic scale with tempe...
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ISBN:
(纸本)9783319449531;9783319449524
We search for alternative musical scales that share the main advantages of classical scales: pitch frequencies that bear simple ratios to each other, and multiple keys based on an underlying chromatic scale with tempered tuning. We conduct the search by formulating a constraint satisfaction problem that is well suited for solution by constraintprogramming. We find that certain 11-note scales on a 19-note chromatic stand out as superior to all others. These scales enjoy harmonic and structural possibilities that go significantly beyond what is available in classical scales and therefore provide a possible medium for innovative musical composition.
Generalized arc consistency (GAC) is one of the ways for reducing the search space when solving constraint satisfaction problems (CSPs). With so many GAC algorithms having been developed, GAC is invariably implemented...
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We describe a constraintprogramming approach for a supply-delivery problem in the petrochemical industry, in which barges transport liquid material from supplier locations to downstream processing plants. The problem...
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ISBN:
(纸本)9783319449531;9783319449524
We describe a constraintprogramming approach for a supply-delivery problem in the petrochemical industry, in which barges transport liquid material from supplier locations to downstream processing plants. The problem is to design a pickup-and-delivery route for each barge such that given minimum and maximum inventory levels at each location are met for a given fleet size. This optimization problem is part of a larger planning system to determine the fleet size, negotiate pickup windows and quantities, and design operational schedules. We evaluate our model on representative supply networks provided by BP North America, and contrast our results with those obtained by a mixed-integer programming approach.
The technique of kernelization consists in extracting, from an instance of a problem, an essentially equivalent instance whose size is bounded in a parameter k. Besides being the basis for efficient parameterized algo...
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ISBN:
(纸本)9783319449531;9783319449524
The technique of kernelization consists in extracting, from an instance of a problem, an essentially equivalent instance whose size is bounded in a parameter k. Besides being the basis for efficient parameterized algorithms, this method also provides a wealth of information to reason about in the context of constraintprogramming. We study the use of kernelization for designing propagators through the example of the Vertex Cover constraint. Since the classic kernelization rules often correspond to dominance rather than consistency, we introduce the notion of "loss-less" kernel. While our preliminary experimental results show the potential of the approach, they also show some of its limits. In particular, this method is more effective for vertex covers of large and sparse graphs, as they tend to have, relatively, smaller kernels.
Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard...
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Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In this paper, we formulate the optimal power flow problem over tree networks as an inference problem over a tree-structured graphical model where the nodal variables are low-dimensional vectors. We adapt the standard dynamic programming algorithm for inference over a tree-structured graphical model to the OPF problem. Combining this with an interval discretization of the nodal variables, we develop an approximation algorithm for the OPF problem. Further, we use techniques from constraintprogramming (cp) to perform interval computations and adaptive bound propagation to obtain practically efficient algorithms. Compared to previous algorithms that solve OPF with optimality guarantees using convex relaxations, our approach is able to work for arbitrary tree-structured distribution networks and handle mixed-integer optimization problems. Further, it can be implemented in a distributed message-passing fashion that is scalable and is suitable for "smart grid" applications like control of distributed energy resources. Numerical evaluations on several benchmark networks show that practical OPF problems can be solved effectively using this approach.
The payload of a satellite is the equipment that actually performs the mission, it receives, amplifies and emits back the signal. Before launch, the equipment of the payload must be tested under a simulated space envi...
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This paper studies the problem of learning parameters for global constraints such as Sequence from a small set of positive examples. The proposed technique computes the probability of observing a given constraint in a...
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ISBN:
(纸本)9783319449531;9783319449524
This paper studies the problem of learning parameters for global constraints such as Sequence from a small set of positive examples. The proposed technique computes the probability of observing a given constraint in a random solution. This probability is used to select the more likely constraint in a list of candidates. The learning method can be applied to both soft and hard constraints.
Milton Babbitt (1916-2011) was a composer of twelve-tone serial music noted for creating the all-partition array. One part of the problem in generating an all-partition array requires finding a covering of a pitch-cla...
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ISBN:
(纸本)9783319449531;9783319449524
Milton Babbitt (1916-2011) was a composer of twelve-tone serial music noted for creating the all-partition array. One part of the problem in generating an all-partition array requires finding a covering of a pitch-class matrix by a collection of sets, each forming a region containing 12 distinct elements and corresponding to a distinct integer partition of 12. constraintprogramming (cp) is a tool for solving such combinatorial andconstraint satisfaction problems. In this paper, we use cp for the first time to formalize this problem in generating an all-partition array. Solving the whole of this problem is difficult and few known solutions exist. Therefore, we propose solving two sub-problems and joining these to form a complete solution. We conclude by presenting a solution found using this method. Our solution is the first we are aware of to be discovered automatically using a computer and differs from those found by composers.
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