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Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics
Preface.- Introduction.- Part I Foundations of Analysis.- A Sets, Topology and Metrics.- B Elementary Functional Analysis.- C Measure Theory and Integration.- D Algebras.- Part II CommutativeExpand
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Quantization of Pseudo-differential Operators on the Torus
AbstractPseudo-differential and Fourier series operators on the torus ${{\mathbb{T}}^{n}}=(\Bbb{R}/2\pi\Bbb{Z})^{n}$ are analyzed by using global representations by Fourier series instead of localExpand
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Morpho Challenge competition 2005--2010: evaluations and results
TLDR
Morpho Challenge aims at language-independent unsupervised learning algorithms that can discover useful morpheme-like units from raw text material. Expand
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Morpho Challenge 2005-2010: Evaluations and Results
TLDR
Morpho Challenge aims at language-independent unsupervised learning algorithms that can discover useful morpheme-like units from raw text material. Expand
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On Symbol Analysis of Periodic Pseudodifferential Operators
This paper deals with periodic pseudodifferential operators on the unit circle T' = R'/Z 1 . The main results are asymptotic expansions for adjoints and products of periodic pseudodifferentialExpand
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Overview and Results of Morpho Challenge 2009
TLDR
The goal of Morpho Challenge 2009 was to evaluate unsupervised algorithms that provide morpheme analyses for words in different languages and in various practical applications. Expand
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Empirical Comparison of Evaluation Methods for Unsupervised Learning of Morphology
TLDR
Unsupervised and semi-supervised learning of morphology provide p ractical solu- tions for processing morphologically rich languages with less human labor than the traditional rule-based analyzers. Expand
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Pseudo-differential Operators on ℝ n
The subject of pseudo-differential operators on ℝ n is well studied and there are many excellent monographs on the subject, see, e.g., [27, 33, 55, 71, 101, 112, 130, 135, 152], as well as on theExpand
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Indexing confusion networks for morph-based spoken document retrieval
TLDR
We investigate methods for improving the performance of morph-based spoken document retrieval in Finnish by extracting relevant index terms from confusion networks. Expand
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Overview of Morpho Challenge in CLEF 2007
TLDR
Morpho Challenge 2007 contained an evaluation of unsupervised morpheme analysis algorithms using information retrieval experiments utilizing data available in CLEF. Expand
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