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On the structure of graded symplectic supermanifolds and Courant Algebroids
, 2002
"... This paper is devoted to a study of geometric structures expressible in terms of graded symplectic supermanifolds. We extend the classical BRST formalism to arbitrary pseudoEuclidean vector bundles E → M0 by canonically associating to such a bundle a graded symplectic supermanifold (M, Ω), with de ..."
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This paper is devoted to a study of geometric structures expressible in terms of graded symplectic supermanifolds. We extend the classical BRST formalism to arbitrary pseudoEuclidean vector bundles E → M0 by canonically associating to such a bundle a graded symplectic supermanifold (M, Ω), with deg(Ω) = 2. Conversely, every such manifold arises in this way. We describe the algebra of functions on M in terms of E and show that “BRST charges ” on M correspond to Courant algebroid structures on E, thereby constructing the standard complex for the latter as a generalization of the classical BRST complex. As an application of these ideas, we prove the acyclicity of “higher de Rham complexes”, a generalization of a classic result of FröhlicherNijenhuis, and derive several easy but useful corollaries.
On the Realizability of BiOrthogonal, MDimensional 2Band Filter Banks
, 1995
"... In this paper we show an algebraic approach for the design of ladder structures for causal biorthogonal filter banks. The key ingredient of the approach is known in literature as Euclid's algorithm. Using this algorithm we derive some strong result on the design freedom for ladder structures. In pa ..."
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In this paper we show an algebraic approach for the design of ladder structures for causal biorthogonal filter banks. The key ingredient of the approach is known in literature as Euclid's algorithm. Using this algorithm we derive some strong result on the design freedom for ladder structures. In particular we show that the dimensionality of the problem plays an important role. We end by with some conjectures concerning the extensions to multichannel and noncausal filter banks. Keywords Digital signal processing, biorthogonal filter bank, multidimensional, ladder structure, Euclid's algorithm, elementary matrix. I. Notations In this article, we use the following notations. With F we denote any of the sets Q, R or C , i.e. any of the sets of rational, real or complex numbers 1 . With K we denote any of the sets of integer (Z), rational, real or complex numbers. The set of polynomials in m variables with coefficients from K will be denoted by Km . A matrix over Km is a 2 \Thet...
Creating community: Art for community development
 Journal of Contemporary Ethnography
, 2000
"... “... community art serves as a catalyst for developing community ..."
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Cited by 3 (0 self)
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“... community art serves as a catalyst for developing community
2003, Stochastic cellular automaton for the coagulationfission process 2A
 3A, 2A → A, Physica A
"... Abstract. We introduce an efficient cellular automaton for the coagulationfission process with diffusion 2A→3A, 2A→A in arbitrary dimensions. As the wellknown DomanyKinzel model, it is defined on a tilted hypercubic lattice and evolves by parallel updates. The model exhibits a nonequilibrium pha ..."
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Abstract. We introduce an efficient cellular automaton for the coagulationfission process with diffusion 2A→3A, 2A→A in arbitrary dimensions. As the wellknown DomanyKinzel model, it is defined on a tilted hypercubic lattice and evolves by parallel updates. The model exhibits a nonequilibrium phase transition from an active into an absorbing phase and its critical properties are expected to be of the same type as in the pair contact process with diffusion. Highprecision simulations on a parallel computer suggest that various quantities of interest do not show the expected powerlaw scaling, calling for new approaches to understand this unusual type of critical behavior. 1.
Benchmarking Purely Functional Data Structures
 Journal of Functional Programming
, 1999
"... When someone designs a new data structure, they want to know how well it performs. Previously, the only way to do this involves finding, coding and testing some applications to act as benchmarks. This can be tedious and timeconsuming. Worse, how a benchmark uses a data structure may considerably af ..."
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When someone designs a new data structure, they want to know how well it performs. Previously, the only way to do this involves finding, coding and testing some applications to act as benchmarks. This can be tedious and timeconsuming. Worse, how a benchmark uses a data structure may considerably affect the efficiency of the data structure. Thus, the choice of benchmarks may bias the results. For these reasons, new data structures developed for functional languages often pay little attention to empirical performance. We solve these problems by developing a benchmarking tool, Auburn, that can generate benchmarks across a fair distribution of uses. We precisely define "the use of a data structure", upon which we build the core algorithms of Auburn: how to generate a benchmark from a description of use, and how to extract a description of use from an application. We consider how best to use these algorithms to benchmark competing data structures. Finally, we test Auburn by benchmarking ...
Semisupervised Learning from Unbalanced Labeled Data – An Improvement
"... Abstract. We present a possibly great improvement while performing semisupervised learning tasks from training data sets when only a small fraction of the data pairs is labeled. In particular, we propose a novel decision strategy based on normalized model outputs. The paper compares performances of ..."
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Abstract. We present a possibly great improvement while performing semisupervised learning tasks from training data sets when only a small fraction of the data pairs is labeled. In particular, we propose a novel decision strategy based on normalized model outputs. The paper compares performances of two popular semisupervised approaches (Consistency Method and Harmonic Gaussian Model) on the unbalanced and balanced labeled data by using normalization of the models ’ outputs and without it. Experiments on text categorization problems suggest significant improvements in classification performances for models that use normalized outputs as a basis for final decision. 1.
Abstract Review Article
, 2006
"... Some methodological and statistical issues in the study of change processes in psychotherapy ☆ ..."
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Some methodological and statistical issues in the study of change processes in psychotherapy ☆
Algorithmic Algebra
"... pp. 40 In the statement of Proposition 2.2.4 (item 1), the line pq ^ L p 0q0; where p; p 2 PP(X) and q; q0 2 PP(Y); should be corrected to pq ^ L p 0q0; where p; p0 2 PP(X) and q; q0 2 PP(Y):[6] pp. 83 The statement "return f \Gamma X gi2G ai \Delta Hterm(f)Hterm(g i) \Delta g i; " in the else part ..."
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pp. 40 In the statement of Proposition 2.2.4 (item 1), the line pq ^ L p 0q0; where p; p 2 PP(X) and q; q0 2 PP(Y); should be corrected to pq ^ L p 0q0; where p; p0 2 PP(X) and q; q0 2 PP(Y):[6] pp. 83 The statement "return f \Gamma X gi2G ai \Delta Hterm(f)Hterm(g i) \Delta g i; " in the else part of the ifstatement in the routine OneHeadReduction should be modified to "return f \Gamma X gi2Gf ai \Delta Hterm(f)Hterm(g i) \Delta g i; " [4] pp. 108 In the "Hint " for Problem 3.2, add the additional assumption that x! TLEX y. [6] pp. 150 In the algorithm FindZeros, the line
Prepared for Revisiting Rental Housing: A National Policy Summit
, 2006
"... exceed two paragraphs may be quoted without explicit permission provided that full credit, including © notice, is given to the source. Any opinions expressed are those of the author and not those of the Joint Center for Housing Studies of Harvard University or of any of the persons or organizations ..."
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exceed two paragraphs may be quoted without explicit permission provided that full credit, including © notice, is given to the source. Any opinions expressed are those of the author and not those of the Joint Center for Housing Studies of Harvard University or of any of the persons or organizations providing support to the Joint Center for Housing Studies. Acknowledgement We gratefully acknowledge stimulating conversations with Eric Belsky and Allen Goodman at a formative stage of this work and the clerical assistance of Noelia Caraballo in We investigate theoretically and empirically two interrelated potential consequences of the spatial concentration of poverty: negative externalities to proximate residents (stimulation of socially harmful behaviors like crime) and property owners (reduced maintenance and, in the extreme, abandonment). Inasmuch as these consequences are capitalized into property values, we use changes in these values to make a rough estimate of the aggregate dollar costs to American society of the aforementioned externalities. We demonstrate the conceptual importance of threshold effects in the analysis of the potential costs of concentrated poverty to the society as a whole. We develop three theoretical
Document Title: Authors: A Theoretical Underpinning of Neighborhood Deterioration and the Onset of LongTerm Crime Problems From Foreclosures (Working Paper)
, 2010
"... To provide better customer service, NCJRS has made this report available electronically in addition to traditional paper copies. Opinions or points of view expressed are those of the authors and do not necessarily reflect the official position or policies of the U.S. Department of Justice. This repo ..."
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To provide better customer service, NCJRS has made this report available electronically in addition to traditional paper copies. Opinions or points of view expressed are those of the authors and do not necessarily reflect the official position or policies of the U.S. Department of Justice. This report has not been published by the U.S. Department of Justice. Opinions or points of view expressed are those of the author(s) and do not necessarily reflect the official position or policies of the U.S. Department of Justice. Introduction: Neighborhoods and the Impact of Foreclosure on These Neighborhoods Over the past decade, many metropolitan areas went through an extensive territorial expansion through growth in new and revitalized housing. A key aspect of that expansion is that it alters settlement patterns, the location of businesses and travel behavior, all of which work toward restructuring the area. Criminal activities also change as a metropolitan area changes