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Binarisation via Dualisation for Valued Constraints
Cohen, David A. (Royal Holloway, University of London) | Cooper, Martin C. (IRIT, University of Toulouse III) | Jeavons, Peter G. (University of Oxford) | Zivny, Stanislav (University of Oxford)
Constraint programming is a natural paradigm for many combinatorial optimisation problems. The complexity of constraint satisfaction for various forms of constraints has been widely-studied, both to inform the choice of appropriate algorithms, and to understand better the boundary between polynomial-time complexity and NP-hardness. In constraint programming it is well-known that any constraint satisfaction problem can be converted to an equivalent binary problem using the so-called dual encoding. Using this standard approach any fixed collection of constraints, of arbitrary arity, can be converted to an equivalent set of constraints of arity at most two. Here we show that this transformation, although it changes the domain of the constraints, preserves all the relevant algebraic properties that determine the complexity. Moreover, we show that the dual encoding preserves many of the key algorithmic properties of the original instance. We also show that this remains true for more general valued constraint languages, where constraints may assign different cost values to different assignments. Hence, we obtain a simple proof of the fact that to classify the computational complexity of all valued constraint languages it suffices to classify only binary valued constraint languages.
Resolving Over-Constrained Probabilistic Temporal Problems through Chance Constraint Relaxation
Yu, Peng (Massachusetts Institute of Technology) | Fang, Cheng (Massachusetts Institute of Technology) | Williams, Brian (Massachusetts Institute of Technology)
When scheduling tasks for field-deployable systems, our solutions must be robust to the uncertainty inherent in the real world. Although human intuition is trusted to balance reward and risk, humans perform poorly in risk assessment at the scale and complexity of real world problems. In this paper, we present a decision aid system that helps human operators diagnose the source of risk and manage uncertainty in temporal problems. The core of the system is a conflict-directed relaxation algorithm, called Conflict-Directed Chance-constraint Relaxation (CDCR), which specializes in resolving over-constrained temporal problems with probabilistic durations and a chance constraint bounding the risk of failure. Given a temporal problem with uncertain duration, CDCR proposes execution strategies that operate at acceptable risk levels and pinpoints the source of risk. If no such strategy can be found that meets the chance constraint, it can help humans to repair the over-constrained problem by trading off between desirability of solution and acceptable risk levels. The decision aid has been incorporated in a mission advisory system for assisting oceanographers to schedule activities in deep-sea expeditions, and demonstrated its effectiveness in scenarios with realistic uncertainty.
On Vectorization of Deep Convolutional Neural Networks for Vision Tasks
Ren, Jimmy SJ. (Lenovo Research and Technology) | Xu, Li (Lenovo Research and Technology)
We recently have witnessed many ground-breaking results in machine learning and computer vision, generated by using deep convolutional neural networks (CNN). While the success mainly stems from the large volume of training data and the deep network architectures, the vector processing hardware (e.g. GPU) undisputedly plays a vital role in modern CNN implementations to support massive computation. Though much attention was paid in the extent literature to understand the algorithmic side of deep CNN, little research was dedicated to the vectorization for scaling up CNNs. In this paper, we studied the vectorization process of key building blocks in deep CNNs, in order to better understand and facilitate parallel implementation. Key steps in training and testing deep CNNs are abstracted as matrix and vector operators, upon which parallelism can be easily achieved. We developed and compared six implementations with various degrees of vectorization with which we illustrated the impact of vectorization on the speed of model training and testing. Besides, a unified CNN framework for both high-level and low-level vision tasks is provided, along with a vectorized Matlab implementation with state-of-the-art speed performance.
Optimal Column Subset Selection by A-Star Search
Arai, Hiromasa (The University of Texas at Dallas) | Maung, Crystal (The University of Texas at Dallas) | Schweitzer, Haim (University of Texas at Dallas)
Approximating a matrix by a small subset of its columns is a known problem in numerical linear algebra. Algorithms that address this problem have been used in areas which include, among others, sparse approximation, unsupervised feature selection, data mining, and knowledge representation. Such algorithms were investigated since the 1960's, with recent results that use randomization. The problem is believed to be NP-Hard, and to the best of our knowledge there are no previously published algorithms aimed at computing optimal solutions. We show how to model the problem as a graph search, and propose a heuristic based on eigenvalues of related matrices. Applying the A* search strategy with this heuristic is guaranteed to find the optimal solution. Experimental results on common datasets show that the proposed algorithm can effectively select columns from moderate size matrices, typically improving by orders of magnitude the run time of exhaustive search. We also show how to combine the proposed algorithm with other non-optimal (but much faster) algorithms in a ``two stage'' framework, which is guaranteed to improve the accuracy of the other algorithms.
Limitations of Front-To-End Bidirectional Heuristic Search
Barker, Joseph K. (University of California, Los Angeles) | Korf, Richard E. (University of California, Los Angeles)
We present an intuitive explanation for the limited effectiveness of front-to-end bidirectional heuristic search, supported with extensive evidence from many commonly-studied domains. While previous work has proved the limitations of specific algorithms, we show that any front-to-end bidirectional heuristic search algorithm will likely be dominated by unidirectional heuristic search or bidirectional brute-force search. We also demonstrate a pathological case where bidirectional heuristic search is the dominant algorithm, so a stronger claim cannot be made. Finally, we show that on the four-peg Towers Of Hanoi with arbitrary start and goal states, bidirectional brute-force search outperforms unidirectional heuristic search using pattern-database heuristics.
Automated Analysis of Commitment Protocols Using Probabilistic Model Checking
Günay, Akın (Nanyang Technological University) | Songzheng, Song (Nanyang Technological University) | Liu, Yang (Nanyang Technological University) | Zhang, Jie (Nanyang Technological University)
Commitment protocols provide an effective formalism for the regulation of agent interaction. Although existing work mainly focus on the design-time development of static commitment protocols, recent studies propose methods to create them dynamically at run-time with respect to the goals of the agents. These methods require agents to verify new commitment protocols taking their goals, and beliefs about the other agents’ behavior into account. Accordingly, in this paper, we first propose a probabilistic model to formally capture commitment protocols according to agents’ beliefs. Secondly, we identify a set of important properties for the verification of a new commitment protocol from an agent’s perspective and formalize these properties in our model. Thirdly, we develop probabilistic model checking algorithms with advanced reduction for efficient verification of these properties. Finally, we implement these algorithms as a tool and evaluate the proposed properties over different commitment protocols.
Accelerating SAT Solving by Common Subclause Elimination
Yan, Yaowei (University of Akron) | Gutierrez, Chris E. (Texas Tech University) | Jn-Charles, Jeriah (Texas Tech University) | Bao, Forrest Sheng (University of Akron) | Zhang, Yuanlin (Texas Tech University)
Boolean SATisfiability (SAT) is an important problem in AI. SAT solvers have been effectively used in important industrial applications including automated planning and verification. In this paper, we present novel algorithms for fast SAT solving by employing two common subclause elimination (CSE) approaches. Our motivation is that modern SAT solving techniques can be more efficient on CSE-processed instances. Empirical study shows that CSE can significantly speed up SAT solving.
FACES: Diversity-Aware Entity Summarization Using Incremental Hierarchical Conceptual Clustering
Gunaratna, Kalpa (Kno.e.sis, Wright State University) | Thirunarayan, Krishnaparasad (Kno.e.sis, Wright State University) | Sheth, Amit (Kno.e.sis, Wright State University)
Semantic Web documents that encode facts about entities on the Web have been growing rapidly in size and evolving over time. Creating summaries on lengthy Semantic Web documents for quick identification of the corresponding entity has been of great contemporary interest. In this paper, we explore automatic summarization techniques that characterize and enable identification of an entity and create summaries that are human friendly. Specifically, we highlight the importance of diversified (faceted) summaries by combining three dimensions: diversity, uniqueness, and popularity. Our novel diversity-aware entity summarization approach mimics human conceptual clustering techniques to group facts and picks representative facts from each group to form concise (i.e., short) and comprehensive (i.e., improved coverage through diversity) summaries. We evaluate our approach against the state-of-the-art techniques and show that our work improves both the quality and the efficiency of entity summarization.
What Is Hot in CHI
As the premier international forumon human-computer interaction, "ACM Conference on Human Factors in ComputingSystems" (CHI), has continued to grow and broaden its range of topics and contributing disciplines. CHI 2014 received over 2000 submissions. Those papers and notes were from diversified research domains — psychologists and computer scientists began to meet new visions from sociology, engineering and manufacturing, communication sciences, design and arts, among others. Here, I would like to introduce progress in HCI research which will bring new opportunities and challenges to AI community.
What's Hot in the SAT and ASP Competitions
Heule, Marijn (The University of Texas at Austin) | Schaub, Torsten (University of Potsdam)
Some solvers, such as lingeling, use techniques The SAT Competitions, organized since 2002, have been the that cannot be expressed using resolution and cannot driving force of SAT solver development. The performance be expressed in the SAT Competition 2013 formats. of contemporary SAT solvers is incomparable to those of a One technique that cannot be expressed using resolution, decade ago. As a consequence, SAT solvers are used as the but is used in some top solvers, is bounded variable addition core search engine in many utilities, including tools for hardware (Manthey, Heule, and Biere 2013).