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Search results for: Spectral
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Spectral Analysis of Capital Markets
PublicationIn this paper the problem of cycles existence in capital markets is addressed. A spectral analysis algorithm, which reduces signal-to-noise ratio, is proposed to derive cycle periodograms for the yield function of DJIA, WIG~20, and NIKKEI 225 indices. Peaks of the the periodograms provide premises to postulate the existence of some possible cycles. The 3.5 year periodicity in all 3 indices, which can be related to Kitchin cycle...
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The Conley index and spectral sequences
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On a comparison principle and the uniqueness of spectral flow
PublicationThe spectral flow is a well-known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold. Firstly, we consider homotopy invariance properties of the spectral flow and establish a simple formula which comprises its classical homotopy invariance and yields a comparison theorem for the spectral flow under compact perturbations. We apply...
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The Maslov index and the spectral flow—revisited
PublicationWe give an elementary proof of a celebrated theorem of Cappell, Lee and Miller which relates the Maslov index of a pair of paths of Lagrangian subspaces to the spectral flow of an associated path of self-adjoint first-order operators. We particularly pay attention to the continuity of the latter path of operators, where we consider the gap-metric on the set of all closed operators on a Hilbert space. Finally, we obtain from Cappell,...
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Categorization of Wikipedia articles with spectral clustering
PublicationAbstract. The article reports application of clustering algorithms for creating hierarchical groups withinWikipedia articles.We evaluate three spectral clustering algorithms based on datasets constructed with usage ofWikipedia categories. Selected algorithm has been implemented in the system that categorize Wikipedia search results in the fly.
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Spectral splittings in the Conley index theory
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Spectral sequences and detailed connection matrices
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Determination of resonances by the optimized spectral approach
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A Review: Applications of the Spectral Finite Element Method
PublicationThe Spectral Finite Element Technique (SFEM) has Several Applications in the Sciences, Engineering, and Mathematics, which will be Covered in this Review Article. The Spectral Finite Element Method (SFEM) is a Variant of the Traditional Finite Element Method FEM that Makes use of Higher Order Basis Functions (FEM). One of the most Fundamental Numerical Techniques Employed in the Numerical Simulation is the SFEM, which Outperforms...
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A Control Theoretical Approach to Spectral Factorization is Unstable
PublicationLocal stability analysis of a recently proposed recursive feedback-based approach to spectral factorization is performed. The method is found not to give stability guarantees. Interestingly enough, its global behavior often allows one to obtain reasonable approximations of spectral factorizations if a suitable stopping criterion is employed.
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Digital hearing aid with time and spectral transposition.
PublicationNastępstwem uruchomienia w Polsce, prowadzonych na szeroką skalę, badań przesiewowych słuchu jest konieczność zaoferowania pomocy osobom cierpiącym na niedosłuch poprzez leczenie i protetykę słuchu. Tymczasem, aktualnie oferowane rozwiązania aparatów słuchowych nie są w stanie sprostać niektórym specjalistycznym potrzebom aparatowania, m. in.: najmłodszych dzieci, osób pracujących w hałasie, pilotów wojskowych oraz osób korzystających...
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Photochemical and spectral characterization of peripherally modified porphyrazines
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Language representative spectral transmittances of ethnic lexemes
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Language representative spectral transmittances of ethnic lexemes
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Spectral Clustering Wikipedia Keyword-Based search Results
PublicationThe paper summarizes our research in the area of unsupervised categorization of Wikipedia articles. As a practical result of our research, we present an application of spectral clustering algorithm used for grouping Wikipedia search results. The main contribution of the paper is a representation method for Wikipedia articles that has been based on combination of words and links and used for categoriation of search results in this...
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Phase-decoupled refraction–diffraction for spectral wave models
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Improving AFM images with harmonic interference by spectral analysis
PublicationPrzedstawiono sposób usunięcia zakłóceń pojawiających się na obrazach uzyskiwanych z mikroskopu sił atomowych (AFM). Przybliżono kilka metod stosowanych do redukcji zakłóceń w obrazach. Następnie opisano zidentyfikowane zakłócenia harmoniczne oraz zaproponowany sposób ich znaczącej redukcji. W pracy zamieszczono szereg obrazów uzyskanych z mikroskopu AFM ilustrujących efekty powodowane zakłóceniami oraz skuteczność zaproponowanej...
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Seabed characterisation using spectral moments of the echo signal
PublicationZbadano użyteczność zastosowania momentów spektralnych obwiedni echa w rozpoznawaniu i klasyfikacji dna morskiego. Przeprowadzono obliczenia momentów spektralnych dla około 15000 ech od dna zarejestrowanych w rejonie Bałtyku Południowego i potwierdzono tezę, że wartości tych momentów skorelowane są silnie z typem dna i rodzajem osadów.
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SPECTRAL DYNAMIC ANALYSIS OF A STATIONARY JACK-UP PLATFORM
PublicationThe paper refers to the dynamic short-term response analysis of the Baltic steel drilling platform (see Fig.2) in a random sea-state represented by one-dimensional wave spectrum proposed by Striekalov and Massel and it is recommended for the Baltic Sea area. The Baltic drilling platform is a jack-up type platform for the exploration and exploitation of oil under the Baltic Sea. The analysis presented deals with the stationary...
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Damage detection of structures using spectral element method.
PublicationW pracy przedstawion mozlwiości detekcji uszkodzeń w postaci pęknięć zmęczeniowych i delaminacji z wykorzystaniem modeli budowanych za pomocą metody spektralnych elementów skończonych.