Relevant bibliographies by topics / Spectral spaces

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Spectral spaces'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Spectral spaces"

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Ramanath, Rajeev, Rolf G. Kuehni, Wesley E. Snyder, and David Hinks. "Spectral spaces and color spaces." Color Research & Application 29, no. 1 (2003): 29–37. http://dx.doi.org/10.1002/col.10211.

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Echi, Othman, and Tarek Turki. "Spectral primal spaces." Journal of Algebra and Its Applications 18, no. 02 (February 2019): 1950030. http://dx.doi.org/10.1142/s0219498819500300.

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Let [Formula: see text] be a mapping. Consider [Formula: see text] Then, according to Echi, [Formula: see text] is an Alexandroff topology. A topological space [Formula: see text] is called a primal space if its topology coincides with an [Formula: see text] for some mapping [Formula: see text]. We denote by [Formula: see text] the set of all fixed points of [Formula: see text], and [Formula: see text] the set of all periodic points of [Formula: see text]. The topology [Formula: see text] induces a preorder [Formula: see text] defined on [Formula: see text] by: [Formula: see text] if and only if [Formula: see text], for some integer [Formula: see text]. The main purpose of this paper is to provide necessary and sufficient algebraic conditions on the function [Formula: see text] in order to get [Formula: see text] (respectively, the one-point compactification of [Formula: see text]) a spectral topology. More precisely, we show the following results. (1) [Formula: see text] is spectral if and only if [Formula: see text] is a finite set and every chain in the ordered set [Formula: see text] is finite. (2) The one-point(Alexandroff) compactification of [Formula: see text] is a spectral topology if and only if [Formula: see text] and every nonempty chain of [Formula: see text] has a least element. (3) The poset [Formula: see text] is spectral if and only if every chain is finite. As an application the main theorem [12, Theorem 3. 5] of Echi–Naimi may be derived immediately from the general setting of the above results.
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Belaid, Karim, Othman Echi, and Riyadh Gargouri. "A-spectral spaces." Topology and its Applications 138, no. 1-3 (March 2004): 315–22. http://dx.doi.org/10.1016/j.topol.2003.08.009.

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Belaid, Karim. "H-spectral spaces." Topology and its Applications 153, no. 15 (September 2006): 3019–23. http://dx.doi.org/10.1016/j.topol.2006.01.009.

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Acosta, Lorenzo, and Ibeth Marcela Rubio Perilla. "Nearly spectral spaces." Boletín de la Sociedad Matemática Mexicana 25, no. 3 (May 31, 2018): 687–700. http://dx.doi.org/10.1007/s40590-018-0206-x.

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Echi, Othman, and Sami Lazaar. "UNIVERSAL SPACES, TYCHONOFF AND SPECTRAL SPACES." Mathematical Proceedings of the Royal Irish Academy 109A, no. 1 (2009): 35–48. http://dx.doi.org/10.1353/mpr.2009.0014.

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Fontana, Marco, and Francesco Pappalardi. "The prime spaces as spectral spaces." Annali di Matematica Pura ed Applicata 160, no. 1 (December 1991): 331–45. http://dx.doi.org/10.1007/bf01764133.

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Echi, Othman, and Sami Lazaar. "UNIVERSAL SPACES, TYCHONOFF AND SPECTRAL SPACES." Mathematical Proceedings of the Royal Irish Academy 109, no. 1 (January 1, 2009): 35–48. http://dx.doi.org/10.3318/pria.2008.109.1.35.

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Peterson, Eric. "Coalgebraic formal curve spectra and spectral jet spaces." Geometry & Topology 24, no. 1 (March 25, 2020): 1–47. http://dx.doi.org/10.2140/gt.2020.24.1.

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Adams, M. E., Karim Belaid, Lobna Dridi, and Othman Echi. "SUBMAXIMAL AND SPECTRAL SPACES." Mathematical Proceedings of the Royal Irish Academy 108A, no. 2 (2008): 137–47. http://dx.doi.org/10.1353/mpr.2008.0008.

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Dissertations / Theses on the topic "Spectral spaces"

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Tedd, Christopher. "Ring constructions on spectral spaces." Thesis, University of Manchester, 2017. https://www.research.manchester.ac.uk/portal/en/theses/ring-constructions-on-spectral-spaces(1ac96918-0515-447a-b404-f47065c0c90b).html.

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In the paper [14] Hochster gave a topological characterisation of those spaces X which arise as the prime spectrum of a commutative ring: they are the spectral spaces, defined as those topological spaces which are T_0, quasi-compact and sober, whose quasi-compact and open subsets form a basis for the topology and are closed under finite intersections. It is well known that the prime spectrum of a ring is always spectral; Hochster proved the converse by describing a construction which, starting from such a space X, builds a ring having the desired prime spectrum; however the construction given is (in Hochster's own words) very intricate, and has not been further exploited in the literature (a passing exception perhaps being the use of [14] Theorem 4 in the example on page 272 of [24]). In the finite setting, alternative constructions of a ring having a given spectrum are provided by Lewis [17] and Ershov [7], which, particularly in light of the work of Fontana in [8], appear to be more tractable, and at least more readily understood. This insight into the methods of constructing rings with a given spectrum is used to prove a result about which spaces may arise as the prime spectrum of a Noetherian ring: it is shown that every 1-dimensional Noetherian spectral space may be realised as the prime spectrum of a Noetherian ring. A close analysis of the two finite constructions considered here reveals considerable similarities between their underlying operation, despite their radically different presentations. Furthermore, we generalise the framework of Ershov's construction beyond the finite setting, finding that the ring we thus define on a space X contains the ring defined by Hochster's construction on X as a subring. We find that in certain examples these rings coincide, but that in general the containment is proper, and that the spectrum of the ring provided by our generalised construction is not necessarily homeomorphic to our original space. We then offer an additional condition on our ring which may (-and indeed in certain examples does) serve to repair this disparity. It is hoped that the analysis of the constructions presented herein, and the demonstration of the heretofore unrecognised connections between the disparate ring constructions proposed by various authors, will facilitate further investigation into the prime ideal structure of commutative rings.
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Lapinski, Felicia. "Hilbert spaces and the Spectral theorem." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-454412.

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Blagojevic, Danilo. "Spectral families and geometry of Banach spaces." Thesis, University of Edinburgh, 2007. http://hdl.handle.net/1842/2389.

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The principal objects of study in this thesis are arbitrary spectral families, E, on a complex Banach space X. The central theme is the relationship between the geometry of X and the p-variation of E. We show that provided X is super- reflexive, then given any E, there exists a value 1 · p < 1, depending only on E and X, such that var p(E) < 1. If X is uniformly smooth we provide an explicit range of such values p, which depends only on E and the modulus of convexity of X*, delta X*(.).
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Shams-Ul-Bari, Naveed. "Isospectral orbifold lens spaces." Thesis, Loughborough University, 2016. https://dspace.lboro.ac.uk/2134/23981.

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Spectral theory is the study of Mark Kac's famous question [K], "can one hear the shape of a drum?" That is, can we determine the geometrical or topological properties of a manifold by using its Laplace Spectrum? In recent years, the problem has been extended to include the study of Riemannian orbifolds within the same context. In this thesis, on the one hand, we answer Kac's question in the negative for orbifolds that are spherical space forms of dimension higher than eight. On the other hand, for the three-dimensional and four-dimensional cases, we answer Kac's question in the affirmative for orbifold lens spaces, which are spherical space forms with cyclic fundamental groups. We also show that the isotropy types and the topology of the singularities of Riemannian orbifolds are not determined by the Laplace spectrum. This is done in a joint work with E. Stanhope and D. Webb by using P. Berard's generalization of T. Sunada's theorem to obtain isospectral orbifolds. Finally, we construct a technique to get examples of orbifold lens spaces that are not isospectral, but have the same asymptotic expansion of the heat kernel. There are several examples of such pairs in the manifold setting, but to the author's knowledge, the examples developed in this thesis are among the first such examples in the orbifold setting.
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Linder, Kevin A. (Kevin Andrew). "Spectral multiplicity theory in nonseparable Hilbert spaces : a survey." Thesis, McGill University, 1991. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=60478.

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Spectral multiplicity theory solves the problem of unitary equivalence of normal operate on a Hilbert space ${ cal H}$ by associating with each normal operator N a multiplicity function, such that two operators are unitarily equivalent if and only if their multiplicity functions are equal. This problem was first solved in the classical case in which ${ cal H}$ is separable by Hellinger in 1907, and in the general case in which ${ cal H}$ is nonseparable by Wecken in 1939. This thesis develops the later versions of multiplicity theory in the nonseparable case given by Halmos and Brown, and gives the simplification of Brown's version to the classical theory. Then the versions of Halmos and Brown are shown directly to be equivalent. Also, the multiplicity function of Brown is expressed in terms of the multiplicity function of Halmos.
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CELOTTO, DARIO. "Riesz transforms, spectral multipliers and Hardy spaces on graphs." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/118889.

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In this thesis we consider a connected locally finite graph G that possesses the Cheeger isoperimetric property. We define a decreasing one parameter family of Hardy-type spaces associated with the standard nearest neighbour Laplacian on G. We show that the space with parameter ½ is the space of all integrable functions whose Riesz transform is integrable. We show that if G has bounded geometry and the parameter is an integer, the corresponding Hardy-type space admits an atomic decomposition. We also show that if G is a homogeneous tree and the parameter is not an integer, the corresponding Hardy-type space does not admit an atomic decomposition. Furthermore, we consider the Hardy-type spaces defined in terms of the heat and Poisson maximal operators, and we analyse their relationships with the family of spaces defined previously. We also show that the space associated with the heat maximal operator is properly contained in the one associated with the heat maximal operator, a phenomenon which has no counterpart in the euclidean setting. Applications to the purely imaginary powers of the Laplacian are also given. Finally, we characterise, for every p, the class of spherical multipliers on the p-integrable functions on homogeneous trees in terms of Fourier multipliers on the torus. Furthermore we give a sharp sufficient condition on spherical multipliers on the product of homogeneous trees.
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Garrisi, Daniele. "Ordinary differential equations in Banach spaces and the spectral flow." Doctoral thesis, Scuola Normale Superiore, 2008. http://hdl.handle.net/11384/85668.

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Boulton, Lyonell. "Topics in the spectral theory of non adjoint operators." Thesis, King's College London (University of London), 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.272412.

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Rossi, Alfred Vincent III. "Temporal Clustering of Finite Metric Spaces and Spectral k-Clustering." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1500033042082458.

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Ghaemi, Mohammad B. "Spectral theory of linear operators." Thesis, Connect to e-thesis, 2000. http://theses.gla.ac.uk/998/.

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Thesis (Ph.D.) - University of Glasgow, 2000.
Ph.D. thesis submitted to the Department of Mathematics, University of Glasgow, 2000. Includes bibliographical references. Print version also available.
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Books on the topic "Spectral spaces"

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Nădăban, Sorin. Spectral theory on quotient spaces. Timișoara: Universitatea din Timișoara, 2001.

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Brown, B. Malcolm, Jan Lang, and Ian G. Wood, eds. Spectral Theory, Function Spaces and Inequalities. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0263-5.

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Post, Olaf. Spectral Analysis on Graph-like Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-23840-6.

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Spectral analysis on graph-like spaces. Berlin: Springer-Verlag, 2012.

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service), SpringerLink (Online, ed. Spectral Theory of Operators on Hilbert Spaces. Boston: Birkhäuser Boston, 2012.

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Kubrusly, Carlos S. Spectral Theory of Operators on Hilbert Spaces. Boston: Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8328-3.

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Behrndt, Jussi, Karl-Heinz Förster, Heinz Langer, and Carsten Trunk, eds. Spectral Theory in Inner Product Spaces and Applications. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-8911-6.

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1932-, Wang Shengwang, ed. A local spectral theory for closed operators. Cambridge [Cambridgeshire]: Cambridge University Press, 1985.

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Erdelyi, Ivan. A local spectral theory for closed operators. Cambridge: Cambridge University Press, 1986.

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Haroske, Dorothee. Some logarithmic function spaces, entropy numbers, applications to spectral theory. Warszawa: Polska Akademia Nauk, Instytut Matematyczny, 1998.

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Book chapters on the topic "Spectral spaces"

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Noll, Walter. "Spectral Theory." In Finite-Dimensional Spaces, 303–49. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-010-9335-4_9.

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Hermann, Andreas. "The Spectral Theorem." In Quantum Measures and Spaces, 209–18. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2827-0_18.

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Alfsen, Erik M., and Frederic W. Shultz. "Spectral Theory." In Geometry of State Spaces of Operator Algebras, 251–312. Boston, MA: Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0019-2_8.

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Kubrusly, Carlos S. "Spectral Theorem." In Spectral Theory of Operators on Hilbert Spaces, 55–89. Boston: Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8328-3_3.

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Nicola, Fabio, and Luigi Rodino. "Spectral Theory." In Global Pseudo-Differential Calculus on Euclidean Spaces, 153–201. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8512-5_6.

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Berezansky, Y. M., and Y. G. Kondratiev. "Rigged Spaces." In Spectral Methods in Infinite-Dimensional Analysis, 1–77. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0509-5_1.

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Ruzhansky, Michael, Makhmud Sadybekov, and Durvudkhan Suragan. "Functional spaces." In Spectral Geometry of Partial Differential Operators, 1–23. Boca Raton, FL : CRC Press, Taylor & Francis Group, [2020]: Chapman and Hall/CRC, 2020. http://dx.doi.org/10.1201/9780429432965-1.

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Einsiedler, Manfred, and Thomas Ward. "Dual Spaces." In Functional Analysis, Spectral Theory, and Applications, 209–52. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58540-6_7.

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Egorov, Yuri, and Vladimir Kondratiev. "Hilbert Spaces." In On Spectral Theory of Elliptic Operators, 1–24. Basel: Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9029-8_1.

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Egorov, Yuri, and Vladimir Kondratiev. "Functional Spaces." In On Spectral Theory of Elliptic Operators, 25–107. Basel: Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9029-8_2.

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Conference papers on the topic "Spectral spaces"

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COBOS, FERNANDO. "LOGARITHMIC INTERPOLATION SPACES." In Spectral Theory and Nonlinear Analysis with Applications to Spatial Ecology. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701589_0002.

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Manjunath, K. E., K. Sreenivasa Rao, and M. Gurunath Reddy. "Two-stage phone recognition system using articulatory and spectral features." In 2015 International Conference on Signal Processing and Communication Engineering Systems (SPACES). IEEE, 2015. http://dx.doi.org/10.1109/spaces.2015.7058226.

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Scheibner, Horst. "Interconnections between fundamental-color spaces and opponent-color spaces." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1993. http://dx.doi.org/10.1364/oam.1993.tuq.5.

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BENGURIA, RAFAEL D. "SPECTRAL PROBLEMS IN SPACES OF CONSTANT CURVATURE." In Proceedings of the QMath11 Conference. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814350365_0011.

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Sridhar, M., Ch Srinivasa Rao, K. Padma Raju, and D. Venkata Ratnam. "Spectral analysis of ionospheric phase scintillations using Hilbert — Huang transform at a low-latitude GNSS station." In 2015 International Conference on Signal Processing And Communication Engineering Systems (SPACES). IEEE, 2015. http://dx.doi.org/10.1109/spaces.2015.7058204.

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MacLeod, Donald I. A. "Mappings between color spaces." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1993. http://dx.doi.org/10.1364/oam.1993.tuq.3.

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Shi, Xiaoxiao, Qi Liu, Wei Fan, Philip S. Yu, and Ruixin Zhu. "Transfer Learning on Heterogenous Feature Spaces via Spectral Transformation." In 2010 IEEE 10th International Conference on Data Mining (ICDM). IEEE, 2010. http://dx.doi.org/10.1109/icdm.2010.65.

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Hayat, Mhequb, and Abubakr Muhammad. "Spectral properties of expansive configuration spaces: An empirical study." In 2011 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2011. http://dx.doi.org/10.1109/icra.2011.5980507.

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Dos Santos Mendes, Vanderlei, Andrey A. Bytsenko, and Antonio Edson Goncalves. "Spectral Functions for Gauge Fields in Rindler-Like Spaces." In Fourth International Winter Conference on Mathematical Methods in Physics. Trieste, Italy: Sissa Medialab, 2004. http://dx.doi.org/10.22323/1.013.0045.

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Morris, Clinton, and Carolyn C. Seepersad. "Efficient Identification of Promising Regions in High-Dimensional Design Spaces With Multilevel Materials Design Applications." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85273.

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Design space exploration can reveal the underlying structure of design problems of interest. In a set-based approach, for example, exploration can identify sets of designs or regions of the design space that meet specific performance requirements. For some problems, promising designs may cluster in multiple regions of the design space, and the boundaries of those clusters may be irregularly shaped and difficult to predict. Visualizing the promising regions can clarify the design space structure, but design spaces are typically high-dimensional, making it difficult to visualize the space in three dimensions. Techniques have been introduced to map high-dimensional design spaces to low-dimensional, visualizable spaces. Before the promising regions can be visualized, however, the first task is to identify how many clusters of promising designs exist in the high-dimensional design space. Unsupervised machine learning methods, such as spectral clustering, have been utilized for this task. Spectral clustering is generally accurate but becomes computationally intractable with large sets of candidate designs. Therefore, in this paper a technique for accurately identifying clusters of promising designs is introduced that remains viable with large sets of designs. The technique is based on spectral clustering but reduces its computational impact by leveraging the Nyström Method in the formulation of self-tuning spectral clustering. After validating the method on a simplified example, it is applied to identify clusters of high performance designs for a high-dimensional negative stiffness metamaterials design problem.
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Reports on the topic "Spectral spaces"

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Gerdjikov, Vladimir S. On Spectral Theory of Lax Operators on Symmetric Spaces: Vanishing Versus Constant Boundary Conditions. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-88-123.

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Gerdjikov, Vladimir. On Spectral Theory of Lax Operators on Symmetric Spaces: Vanishing Versus Constant Boundary Conditions. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-15-2009-1-41.

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Mokole, Eric L. Clutter-Doppler Spectral Analysis for a Space-Based Radar. Fort Belvoir, VA: Defense Technical Information Center, May 1991. http://dx.doi.org/10.21236/ada236644.

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Shahriar, Selim, Shaoul Ezekiel, and Cardinal Warde. Feasibility of Spectral Holeburning Memories and Processors for Space-Based Applications. Fort Belvoir, VA: Defense Technical Information Center, April 2004. http://dx.doi.org/10.21236/ada422273.

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Casey, K. F., and B. A. Baertlein. Wideband pulse reconstruction from sparse spectral-amplitude data. Final report. Office of Scientific and Technical Information (OSTI), January 1993. http://dx.doi.org/10.2172/446294.

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Phister, Paul W., and Igor Plonisch. C2 of Space: The Key to Full Spectrum Dominance. Fort Belvoir, VA: Defense Technical Information Center, January 1999. http://dx.doi.org/10.21236/ada464409.

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Johansen, Richard A., Christina L. Saltus, Molly K. Reif, and Kaytee L. Pokrzywinski. A Review of Empirical Algorithms for the Detection and Quantification of Harmful Algal Blooms Using Satellite-Borne Remote Sensing. U.S. Army Engineer Research and Development Center, June 2022. http://dx.doi.org/10.21079/11681/44523.

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Harmful Algal Blooms (HABs) continue to be a global concern, especially since predicting bloom events including the intensity, extent, and geographic location, remain difficult. However, remote sensing platforms are useful tools for monitoring HABs across space and time. The main objective of this review was to explore the scientific literature to develop a near-comprehensive list of spectrally derived empirical algorithms for satellite imagers commonly utilized for the detection and quantification HABs and water quality indicators. This review identified the 29 WorldView-2 MSI algorithms, 25 Sentinel-2 MSI algorithms, 32 Landsat-8 OLI algorithms, 9 MODIS algorithms, and 64 MERIS/Sentinel-3 OLCI algorithms. This review also revealed most empirical-based algorithms fell into one of the following general formulas: two-band difference algorithm (2BDA), three-band difference algorithm (3BDA), normalized-difference chlorophyll index (NDCI), or the cyanobacterial index (CI). New empirical algorithm development appears to be constrained, at least in part, due to the limited number of HAB-associated spectral features detectable in currently operational imagers. However, these algorithms provide a foundation for future algorithm development as new sensors, technologies, and platforms emerge.
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Bess, John D., Margaret A. Marshall, J. Blair Briggs, Anatoli Tsiboulia, Yevgeniy Rozhikhin, and John T. Mihalczo. Fast Neutron Spectrum Potassium Worth for Space Power Reactor Design Validation. Office of Scientific and Technical Information (OSTI), March 2015. http://dx.doi.org/10.2172/1178060.

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Wehr, Tobias, ed. EarthCARE Mission Requirements Document. European Space Agency, November 2006. http://dx.doi.org/10.5270/esa.earthcare-mrd.2006.

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ESA's EarthCARE (Cloud, Aerosol and Radiation Explorer) mission - scheduled to be launched in 2024 - is the largest and most complex Earth Explorer to date and will advance our understanding of the role that clouds and aerosols play in reflecting incident solar radiation back into space and trapping infrared radiation emitted from Earth's surface. The mission is being implemented in cooperation with JAXA (Japan Aerospace Exploration Agency). It carries four scientific instruments. The Atmospheric Lidar (ATLID), operating at 355 nm wavelength and equipped with a high-spectral resolution and depolarisation receiver, measures profiles of aerosols and thin clouds. The Cloud Profiling Radar (CPR, contribution of JAXA), operates at 94 GHz to measure clouds and precipitation, as well as vertical motion through its Doppler functionality. The Multi-Spectral Imager provides across-track information of clouds and aerosols. The Broad-Band Radiometer (BBR) measures the outgoing reflected solar and emitted thermal radiation in order to derive broad-band radiative fluxes at the top of atmosphere. The Mission Requirement Document defines the scientific mission objectives and observational requirements of EarthCARE. The document has been written by the ESA-JAXA Joint Mission Advisory Group for EarthCARE.
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Claprood, M. Spatially averaged coherency spectrum (SPAC) ambient noise array method. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2012. http://dx.doi.org/10.4095/291763.

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