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588
Dynamic Orderings for AND/OR Branch-and-Bound Search in Graphical Models
"... AND/OR search spaces have recently been introduced as a unifying paradigm for advanced algorithmic schemes for graphical models. The main virtue of this representation is its sensitivity to the structure of the model, which can translate into exponential time savings for search algorithms. Since th ..."
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Cited by 11 (4 self)
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the variable selection can have a dramatic impact on search performance when solving optimization tasks, we introduce in this paper a new dynamic AND/OR Branchand-Bound algorithmic framework which accommodates variable ordering heuristics. The efficiency of the dynamic AND/OR approach is demonstrated
AND/OR branch-and-bound search for combinatorial optimization in graphical models
, 2008
"... We introduce a new generation of depth-first Branch-and-Bound algorithms that explore the AND/OR search tree using static and dynamic variable orderings for solving general constraint optimization problems. The virtue of the AND/OR representation of the search space is that its size may be far small ..."
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Cited by 39 (19 self)
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We introduce a new generation of depth-first Branch-and-Bound algorithms that explore the AND/OR search tree using static and dynamic variable orderings for solving general constraint optimization problems. The virtue of the AND/OR representation of the search space is that its size may be far
And/or branch-and-bound search for pure 0/1 integer linear programming problems
- IN CPAIOR 152–166
, 2006
"... AND/OR search spaces have recently been introduced as a unifying paradigm for advanced algorithmic schemes for graphical models. The main virtue of this representation is its sensitivity to the structure of the model, which can translate into exponential time savings for search algorithms. In this ..."
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Cited by 6 (5 self)
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. In this paper we extend the recently introduced AND/OR Branch-and-Bound algorithm (AOBB) [1] for solving pure 0/1 Integer Linear Programs [2]. Since the variable selection can have a dramatic impact on search performance, we introduce a new dynamic AND/OR Branch-and-Bound algorithm able to accommodate variable
Best-first and/or search for graphical models
- In AAAI
, 2007
"... Abstract The paper presents and evaluates the power of best-first search over AND/OR search spaces in graphical models. The main virtue of the AND/OR representation is its sensitivity to the structure of the graphical model, which can translate into significant time savings. Indeed, in recent years ..."
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Cited by 17 (6 self)
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years depth-first AND/OR Branch-and-Bound algorithms were shown to be very effective when exploring such search spaces, especially when using caching. Since best-first strategies are known to be superior to depth-first when memory is utilized, exploring the best-first control strategy is called for
The Volcano optimizer generator: Extensibility and efficient search
- ICDE
, 1993
"... Emerging database application domains demand not only new functionality but also high performance. To satisfy these two requirements, the Volcano project provides efficient, extensible tools for query and request processing, particularly for object-oriented and scientific database systems. One of th ..."
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Cited by 200 (1 self)
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effective support for non-trivial cost models and for physical properties such as sort order. At the same time, it is much more efficient as it combines dynamic programming, which until now had been used only for relational select-project-join optimization, with goal-directed search and branch-and-bound
Source-side Preordering for Translation using Logistic Regression and Depth-first Branch-and-Bound Search∗
"... We present a simple preordering approach for machine translation based on a feature-rich logistic regression model to predict whether two children of the same node in the source-side parse tree should be swapped or not. Given the pair-wise chil-dren regression scores we conduct an effi-cient depth-f ..."
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-first branch-and-bound search through the space of possible children per-mutations, avoiding using a cascade of classifiers or limiting the list of possi-ble ordering outcomes. We report exper-iments in translating English to Japanese and Korean, demonstrating superior per-formance as (a) the number
AND/OR Branch-and-Bound for Solving Mixed Integer Linear Programming Problems
, 2005
"... AND/OR search spaces have recently been introduced as a unifying paradigm for advanced algorithmic schemes for graphical models. The main virtue of this representation is its sensitivity to the structure of the model, which can translate into exponential time savings for search algorithms. In this ..."
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. In this paper we extend the recently introduced AND/OR Branch-and-Bound algorithm [1] for solving 0/1 Mixed Integer Linear Programming problems. We propose a static version based on pseudo-trees, as well as a dynamic one based on hypergraph separators. Preliminary evaluation on problem instances from MIPLIB2003
Winning the PASCAL 2011 MAP Challenge with Enhanced AND/OR Branch-and-Bound
"... This paper describes our entry for the MAP/MPE track of the PASCAL 2011 Probabilistic Inference Challenge, which placed first in all three time limit categories, 20 seconds, 20 minutes, and 1 hour. Our baseline is a branch-and-bound algorithm that explores the context-minimal AND/OR search graph of ..."
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Cited by 2 (2 self)
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This paper describes our entry for the MAP/MPE track of the PASCAL 2011 Probabilistic Inference Challenge, which placed first in all three time limit categories, 20 seconds, 20 minutes, and 1 hour. Our baseline is a branch-and-bound algorithm that explores the context-minimal AND/OR search graph
AND/OR Branch-and-Bound for Solving Mixed Integer Linear Programming Problems
"... Abstract. AND/OR search spaces have recently been introduced as a unifying paradigm for advanced algorithmic schemes for graphical models. The main virtue of this representation is its sensitivity to the structure of the model, which can translate into exponential time savings for search algorithms. ..."
Abstract
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. In this paper we extend the recently introduced AND/OR Branch-and-Bound algorithm [1] for solving 0/1 Mixed Integer Linear Programming problems. We propose a static version based on pseudo-trees, as well as a dynamic one based on hypergraph separators. Preliminary evaluation on problem instances from MIPLIB2003
Towards Parallel Search for Optimization in Graphical Models
"... We introduce a strategy for parallelizing a state-of-the-art sequential search algorithm for optimization on a grid of computers. Based on the AND/OR graph search framework, the procedure exploits the structure of the underlying problem graph. Worker nodes concurrently solve subproblems that are gen ..."
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Cited by 7 (5 self)
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that are generated by a single master process. Subproblem generation is itself embedded into an AND/OR Branch and Bound algorithm and dynamically takes previous subproblem solutions into account. Drawing upon the underlying graph structure, we provide some theoretical analysis of the parallelization parameters. A
Results 1 - 10
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588