41,068 research outputs found

    Lower-bound Time-Complexity Analysis of Logic Programs

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    The paper proposes a technique for inferring conditions on goals that, when satisfied, ensure that a goal is sufficiently coarse-grained to warrant parallel evaluation. The method is powerful enough to reason about divide-and-conquer programs, and in the case of quicksort, for instance, can infer that a quicksort goal has a time complexity that exceeds 64 resolution steps (a threshold for spawning) if the input list is of length 10 or more. This gives a simple run-time tactic for controlling spawning. The method has been proved correct, can be implemented straightforwardly, has been demonstrated to be useful on a parallel machine, and, in contrast with much of the previous work on time-complexity analysis of logic programs, does not require any complicated difference equation solving machinery

    Fine-grained Search Space Classification for Hard Enumeration Variants of Subset Problems

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    We propose a simple, powerful, and flexible machine learning framework for (i) reducing the search space of computationally difficult enumeration variants of subset problems and (ii) augmenting existing state-of-the-art solvers with informative cues arising from the input distribution. We instantiate our framework for the problem of listing all maximum cliques in a graph, a central problem in network analysis, data mining, and computational biology. We demonstrate the practicality of our approach on real-world networks with millions of vertices and edges by not only retaining all optimal solutions, but also aggressively pruning the input instance size resulting in several fold speedups of state-of-the-art algorithms. Finally, we explore the limits of scalability and robustness of our proposed framework, suggesting that supervised learning is viable for tackling NP-hard problems in practice.Comment: AAAI 201

    A Meaning of Baroque in terms of Space Syntax

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    A city is a spatial system that is generated in the process of searching for an ideal form. From the structure of a city, we can find paradigms of the past in which worldviews of the society are instilled. Baroque, to be studied in this paper, is interpreted as a change from ā€²limitationā€² to ā€²infinityā€². There are many studies that investigated Baroque but they see the change from a single viewpoint of either cosmology or practicality. The purpose of this study is, therefore, to combine these two viewpoints for a comprehensive understanding of what paradigm has formed Baroque cities. Practicality is revealed by means of Space Syntax and our new concept, Urban Entropy Coefficient (: UEC), which is then related to cosmology. We conclude that the intention of Baroque was to configure a Multi-Center layout for the dynamic function of the city

    Lunar materials processing system integration

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    The theme of this paper is that governmental resources will not permit the simultaneous development of all viable lunar materials processing (LMP) candidates. Choices will inevitably be made, based on the results of system integration trade studies comparing candidates to each other for high-leverage applications. It is in the best long-term interest of the LMP community to lead the selection process itself, quickly and practically. The paper is in five parts. The first part explains what systems integration means and why the specialized field of LMP needs this activity now. The second part defines the integration context for LMP -- by outlining potential lunar base functions, their interrelationships and constraints. The third part establishes perspective for prioritizing the development of LMP methods, by estimating realistic scope, scale, and timing of lunar operations. The fourth part describes the use of one type of analytical tool for gaining understanding of system interactions: the input/output model. A simple example solved with linear algebra is used to illustrate. The fifth and closing part identifies specific steps needed to refine the current ability to study lunar base system integration. Research specialists have a crucial role to play now in providing the data upon which this refinement process must be based
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