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Journal articles on the topic 'Topological selection'

Author: Grafiati

Published: 3 February 2024

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1

Hu, Shaoxiong, Hugo Maruri-Aguilar, and Zixiang Ma. "Topological techniques in model selection." Algebraic Statistics 13, no. 1 (December 31, 2022): 41–56. http://dx.doi.org/10.2140/astat.2022.13.41.

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2

Yatsyshen, V. V., and A. Yu Gordeev. "Electrodynamic target selection techniques." Journal of «Almaz – Antey» Air and Space Defence Corporation, no. 1 (March 30, 2016): 61–68. http://dx.doi.org/10.38013/2542-0542-2016-1-61-68.

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We examine a new electrodynamic approach to target selection. The study shows that in the case of p-polarisation, a topological portrait of two types of angle reflectors is in a certain sense inverted in relation to that of the s-polarisation case, and consequently, evident polarisation dependence of angle reflector topological portraits may be traced.

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3

Erins, Matiss. "Topological Modeling Based Diagnostic Tests Selection." Technologies of Computer Control 15 (January 16, 2015): 42. http://dx.doi.org/10.7250/tcc.2014.006.

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4

Bahraini, Alireza, and Abdolhossein Abbassian. "Topological pattern selection in recurrent networks." Neural Networks 31 (July 2012): 22–32. http://dx.doi.org/10.1016/j.neunet.2012.02.037.

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5

de Vel, M. Van. "A Selection Theorem for Topological Convex Structures." Transactions of the American Mathematical Society 336, no. 2 (April 1993): 463. http://dx.doi.org/10.2307/2154358.

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6

Scheepers, Marion, and Franklin D. Tall. "Lindelöf indestructibility, topological games and selection principles." Fundamenta Mathematicae 210, no. 1 (2010): 1–46. http://dx.doi.org/10.4064/fm210-1-1.

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7

van de Vel, M. "A selection theorem for topological convex structures." Transactions of the American Mathematical Society 336, no. 2 (February 1, 1993): 463–96. http://dx.doi.org/10.1090/s0002-9947-1993-1169083-9.

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8

Varposhti, Marzieh, Mehdi Dehghan, and Reza Safabakhsh. "Distributed Topological Camera Selection Without Location Information." IEEE Sensors Journal 14, no. 8 (August 2014): 2579–89. http://dx.doi.org/10.1109/jsen.2014.2309797.

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9

Song, Chaofan, Tongqiang Liu, Huan Wang, Haifeng Shi, and Zhuqing Jiao. "Multi-modal feature selection with self-expression topological manifold for end-stage renal disease associated with mild cognitive impairment." Mathematical Biosciences and Engineering 20, no. 8 (2023): 14827–45. http://dx.doi.org/10.3934/mbe.2023664.

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<abstract> <p>Effectively selecting discriminative brain regions in multi-modal neuroimages is one of the effective means to reveal the neuropathological mechanism of end-stage renal disease associated with mild cognitive impairment (ESRDaMCI). Existing multi-modal feature selection methods usually depend on the <italic>Euclidean</italic> distance to measure the similarity between data, which tends to ignore the implied data manifold. A self-expression topological manifold based multi-modal feature selection method (SETMFS) is proposed to address this issue employing self-expression topological manifold. First, a dynamic brain functional network is established using functional magnetic resonance imaging (fMRI), after which the betweenness centrality is extracted. The feature matrix of fMRI is constructed based on this centrality measure. Second, the feature matrix of arterial spin labeling (ASL) is constructed by extracting the cerebral blood flow (CBF). Then, the topological relationship matrices are constructed by calculating the topological relationship between each data point in the two feature matrices to measure the intrinsic similarity between the features, respectively. Subsequently, the graph regularization is utilized to embed the self-expression model into topological manifold learning to identify the linear self-expression of the features. Finally, the selected well-represented feature vectors are fed into a multicore support vector machine (MKSVM) for classification. The experimental results show that the classification performance of SETMFS is significantly superior to several state-of-the-art feature selection methods, especially its classification accuracy reaches 86.10%, which is at least 4.34% higher than other comparable methods. This method fully considers the topological correlation between the multi-modal features and provides a reference for ESRDaMCI auxiliary diagnosis.</p> </abstract>

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10

Scheepers, Marion. "A Selection Principle and Products in Topological Groups." Axioms 11, no. 6 (June 13, 2022): 286. http://dx.doi.org/10.3390/axioms11060286.

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We consider the preservation under products, finite powers, and forcing of a selection-principle-based covering property of T0 topological groups. Though the paper is partly a survey, it contributes some new information: (1) The product of a strictly o-bounded group with an o-bounded group is an o-bounded group—Corollary 1. (2) In the generic extension by a finite support iteration of ℵ1 Hechler reals the product of any o-bounded group with a ground model ℵ0 bounded group is an o-bounded group—Theorem 11. (3) In the generic extension by a countable support iteration of Mathias reals the product of any o-bounded group with a ground model ℵ0 bounded group is an o-bounded group—Theorem 12.

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11

Han, Yongkoo, Kisung Park, Donghai Guan, Sajal Halder, and Young-Koo Lee. "Topological Similarity-Based Feature Selection for Graph Classiﬁcation." Computer Journal 58, no. 9 (October 21, 2013): 1884–93. http://dx.doi.org/10.1093/comjnl/bxt123.

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12

Yu, Z., H. Lin, R. Zhou, Z. Li, Z. Mao, K. Peng, Y. Liu, and X. Shi. "Topological valley crystals in a photonic Su–Schrieffer–Heeger (SSH) variant." Journal of Applied Physics 132, no. 16 (October 28, 2022): 163101. http://dx.doi.org/10.1063/5.0107211.

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Progress on two-dimensional materials has shown that valleys, as energy extrema in a hexagonal first Brillouin zone, provide a new degree of freedom for information manipulation. Then, valley Hall topological insulators supporting such-polarized edge states on boundaries were set up accordingly. In this paper, a two-dimensional valley crystal composed of six tunable dielectric triangular pillars in each unit cell is proposed in the photonic sense of a deformed Su–Schrieffer–Heeger model. We reveal the vortex nature of valley states and establish the selection rules for valley-polarized states. Based on the valley topology, a rhombus-shaped beam splitter waveguide is designed to verify the valley-chirality selection rule above. Our numerical results entail that this topologically protected edge states still maintain robust transmission at sharp corners, thus providing a feasible idea for valley photonic devices in the THz regime.

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13

Yatsyshen, V. V., and A. Yu Gordeev. "Electrodynamic target selection techniques – gradient analysi." Journal of «Almaz – Antey» Air and Space Defence Corporation, no. 3 (September 30, 2016): 3–10. http://dx.doi.org/10.38013/2542-0542-2016-3-3-10.

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We offer a new method for analyzing the electromagnetic field scattered from the objects. The method is based on calculating the field gradients in the incidence and scattering space in a bistatic radar scheme. The analysis of the differences between the real target and artificial jam-producing object showed the high sensitivity and efficiency of the method used, because the topology of the two-dimensional field scattering gradients pattern varies significantly for these two objects. We detected substantial polarization dependence of the scattered field gradients, which together with the topological portraits of the scattered field itself make it possible to find a new approach to the target discrimination. The analysis we did allows us to develop a target detection strategy for an artificial object by the controlled change of the incident and scattered angles (viewing angles) in accordance with the laws obtained in topological portraits of the gradients of electromagnetic fields scattered over a wide angular range from the objects. Findings of the research could be helpful in developing specific strategies of polarization bistatic radiolocation based on the gradient analysis method.

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14

Lu, Zhenzhong, Min Liu, Ce Feng, and Jiannan Zhou. "The vortex light induced electric dipole and electric quadru-pole transition in Ca atom." Laser Physics 34, no. 1 (November 23, 2023): 016001. http://dx.doi.org/10.1088/1555-6611/ad0a77.

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Abstract The Laguerre–Gaussian beam induced electric transition model is presented. The major mechanism of angular momentum exchange between the light and the atomic system is discussed. The influence of the topological charge on the transition probability and selection rules is obtained. Our results show that the Ca(4s2 1S0–4s3d 1D2) electric quadrupole transition selection rules are sensitive to the sign of l, and the center of mass transition selection rules are governed by the topological charge l of the light. The electric dipole transition is possible in a field with topological charge l > 0, and the quadrupole transition is no longer forbidden. The overall transition probability difference between dipole transition and quadrupole transition can be decreased by the joint action of the light angular momentum exchange with the external and the internal motion.

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15

Kocinac, Ljubisa. "Generalized open sets and selection properties." Filomat 33, no. 5 (2019): 1485–93. http://dx.doi.org/10.2298/fil1905485k.

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We define and study new weak versions of the classical Menger covering property. For this we use ?-open and ?-open covers of a topological space. Relations of these properties with known weak versions of the Menger property are examined. In this way we complement the study of weak covering properties defined by selection principles.

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16

DE MARCO, GIUSEPPE, and JACQUELINE MORGAN. "ALTRUISTIC BEHAVIOR AND CORRELATED EQUILIBRIUM SELECTION." International Game Theory Review 13, no. 04 (December 2011): 363–81. http://dx.doi.org/10.1142/s0219198911003118.

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This paper studies new refinement concepts for correlated equilibria based on altruistic behavior of the players and generalizes some refinement concepts previously developed by the authors for Nash equilibria. Effectiveness of the concepts, relations with the corresponding notions for Nash equilibria and with other correlated equilibrium refinements are investigated. The analysis of the topological properties of the set of solutions concludes the paper.

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17

SHI, Zhenfeng, Liyang YU, Ahmed A. ABD EL-LATIF, and Xiamu NIU. "Skeleton Modulated Topological Perception Map for Rapid Viewpoint Selection." IEICE Transactions on Information and Systems E95.D, no. 10 (2012): 2585–88. http://dx.doi.org/10.1587/transinf.e95.d.2585.

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18

Popov, Vladimir. "The Problem of Selection of Fingerprints for Topological Localization." Applied Mechanics and Materials 365-366 (August 2013): 946–49. http://dx.doi.org/10.4028/www.scientific.net/amm.365-366.946.

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Visual navigation is extensively used in contemporary robotics. In particular, we can mention different systems of visual landmarks. In this paper, we consider one-dimensional color panoramas. Panoramas can be used for creating fingerprints. Fingerprints give us unique identifiers for visually distinct locations by recovering statistically significant features. Fingerprints can be used as visual landmarks for mobile robot navigation. In this paper, we consider a method for automatic generation of fingerprints. Since a fingerprint is a circular string, different string-matching algorithms can be used for selection of fingerprints. In particular, we consider the problem of finding the consensus of circular strings under the Hamming distance metric.

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19

Bárány, Imre, Roy Meshulam, Eran Nevo, and Martin Tancer. "Pach’s Selection Theorem Does Not Admit a Topological Extension." Discrete & Computational Geometry 60, no. 2 (April 12, 2018): 420–29. http://dx.doi.org/10.1007/s00454-018-9998-8.

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20

Iqbal, Muhammad Asad, and Moiz ud Din Khan. "Selection principles: s-Menger and s-Rothberger-bounded groups." Applied General Topology 23, no. 1 (April 1, 2022): 189–99. http://dx.doi.org/10.4995/agt.2022.14846.

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In this paper, selection principles are defined and studied in the realm of irresolute topological groups. Especially, s-Menger-bounded and s-Rothberger-bounded type covering properties are introduced and studied.

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21

Aoki, Ryota, Kento Uchida, and Koichiro Tanaka. "Excitation polarization-independent photo-induced restoration of inversion symmetry in Td-WTe₂." AIP Advances 12, no. 4 (April 1, 2022): 045309. http://dx.doi.org/10.1063/5.0086398.

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Td-WTe2 is a topologically nontrivial material and exhibits a variety of physical properties, such as giant unsaturated magnetoresistance and the unconventional thermoelectric effect, due to its topological nature. It is also known to exhibit ultrafast topological phase transitions that restore its inversion symmetry by intense terahertz and mid-infrared pulses, and these properties demonstrate the possibility of ultrafast control of devices based on topological properties. Recently, a novel photo-induced topological phase transition by using polarization-controlled infrared excitation has been proposed, which is expected to control the material topology by rearranging the atomic orbitals near the Weyl point. To examine this topological phase transition, we experimentally studied the excitation-polarization dependence of the infrared-induced phase dynamics in a thin-layer of Td-WTe2. Time-resolved second harmonic generation (SHG) measurements showed that SHG intensity decreases after the infrared pump regardless of the polarization. Polarization-resolved infrared pump–probe measurements indicated that the polarization-selected excited state relaxes quite rapidly (i.e., within 10–40 fs). Considering these experimental results, we conclude that it is difficult to control the photo-induced phase transition through orbital-selective excitation owing to the rapid loss of carrier distribution created by polarization-selective excitation in thin-layer Td-WTe2 under our experimental condition. These results indicate that the suppression of the electron scattering process is crucial for experimentally realizing the photo-induced phase transition based on the polarization selection rule of the materials.

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22

Antsifirov, A. A., and V. A. Krivoshein. "Selection of the optimal hydraulic drive for the press." Glavnyj mekhanik (Chief Mechanic), no. 4 (March 22, 2023): 245–55. http://dx.doi.org/10.33920/pro-2-2304-07.

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The research given in the article is devoted to the selection of the electric motor of the hydraulic press drive with a nominal force of 5MN. The article presents the main characteristics, a description of the operation of the press using the means of mechanization of the technological process of pressure treatment. When using the Deform-3D software package, a simulation of the stamping process of the ZIL 130 cardan shaft crosspiece was carried out. Based on the presented hydraulic scheme of the press, its topological model is formed in the PA-9 software package. The deformation force obtained during the simulation of the stamping process was used in the topological model of the press. With the help of a tabular cyclogram, the sequence of actuation of the final switches and hydraulic distributors during the stamping process is given.

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23

Kortelainen, Jari. "A Selection Model with Linguistically Expressed Objectives." Journal of Advanced Computational Intelligence and Intelligent Informatics 9, no. 5 (September 20, 2005): 498–501. http://dx.doi.org/10.20965/jaciii.2005.p0498.

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We present and generalize some ideas studied previously in [14]. We express objectives by natural language and use L-sets, binary relations, and topologies to model this knowledge. We define topological similarity M-relation between L-sets and apply multiple criteria decision making methods when selecting alternatives. As an application, we present the process of selecting a member for a project team.

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24

Kocev, Darko. "On weaker forms of relator Menger, relator Rothberger and relator Hurewicz properties." Filomat 26, no. 3 (2012): 427–37. http://dx.doi.org/10.2298/fil1203427k.

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We introduce new selection principles in relator spaces using neighbourhoods and closures in the same manner as it was done in [1, 11, 20] in topological spaces and prove that these properties are weaker versions of the corresponding selection principles defined in [12]. Some properties of these selection principles are proved.

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25

Saveliev, Peter. "Fixed points and selections of set-valued maps on spaces with convexity." International Journal of Mathematics and Mathematical Sciences 24, no. 9 (2000): 595–612. http://dx.doi.org/10.1155/s0161171200004403.

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We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non-locally convex topological vector spaces or generalized convexity structures due to Michael, van de Vel, and Horvath.

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26

An, Zhen Zhou, Jin Rong Bai, Yu Ma, Na Yu Jia, and Xin Ling Shi. "A Family Particle Swarm Optimization Based on the Animal Collective Behavior." Applied Mechanics and Materials 513-517 (February 2014): 2439–43. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.2439.

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To study the organizational structure of particles in particle swarm optimization (PSO), we have proposed the family PSO (FPSO) previously. To further study the internal structure of FPSO, this paper introduced the animal collective behavior into the FPSO. It made the interaction ruling among particles was not based on random selection but topological distance. Each family interacted on average with a fixed number of neighbors, rather than with all neighbors within a fixed metric distance. Simulations for four benchmark functions demonstrated that the interaction ruling based on topological distance among particles was more reasonable than that on random selection.

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27

Zeng, Qiang, and Yuefa Fang. "Algorithm for topological design of multi-loop hybrid mechanisms via logical proposition." Robotica 30, no. 4 (July 26, 2011): 599–612. http://dx.doi.org/10.1017/s0263574711000865.

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SUMMARYThis paper introduces the mathematical logical proposition into kinematics and presents a novel method for topological design and representation of mechanisms. The six-value non-classical logical matrix in three orders is proposed to represent spatial basic motions, relations, and selection of moving reference frame. The combinatorial logical sets of mechanisms are built and axiomatized to analyze serial–parallel hybrid mechanisms. In accordance to the logical relations, the mapping between topological arrangement and topological geometry is developed, and algorithm of decomposition synthesis is presented. Furthermore, the higher dimensional topological arrangement of multi-loop hybrid mechanism can be obtained by mapping of higher dimensional geometry. At last, four typical examples are developed to illustrate application of method of logical proposition in topological design of mechanisms. The method is helpful for topological design and analysis of multi-loop hybrid mechanisms.

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28

Chen, Renjie, and Nalini Ravishanker. "Feature Construction Using Persistence Landscapes for Clustering Noisy IoT Time Series." Future Internet 15, no. 6 (May 28, 2023): 195. http://dx.doi.org/10.3390/fi15060195.

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With the advancement of IoT technologies, there is a large amount of data available from wireless sensor networks (WSN), particularly for studying climate change. Clustering long and noisy time series has become an important research area for analyzing this data. This paper proposes a feature-based clustering approach using topological data analysis, which is a set of methods for finding topological structure in data. Persistence diagrams and landscapes are popular topological summaries that can be used to cluster time series. This paper presents a framework for selecting an optimal number of persistence landscapes, and using them as features in an unsupervised learning algorithm. This approach reduces computational cost while maintaining accuracy. The clustering approach was demonstrated to be accurate on simulated data, based on only four, three, and three features, respectively, selected in Scenarios 1–3. On real data, consisting of multiple long temperature streams from various US locations, our optimal feature selection method achieved approximately a 13 times speed-up in computing.

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29

Gerstmayr, Lorenz, Alexandre Bernardino, and José Santos-Victor. "Appearance based landmark selection and reliability evaluation for topological navigation." IFAC Proceedings Volumes 37, no. 8 (July 2004): 108–13. http://dx.doi.org/10.1016/s1474-6670(17)31959-6.

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30

Choi, Hyeong In, Rida T. Farouki, Song-Hwa Kwon, and Hwan Pyo Moon. "Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants." Computer Aided Geometric Design 25, no. 6 (August 2008): 411–33. http://dx.doi.org/10.1016/j.cagd.2007.03.010.

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31

Chen, Zhi-De. "Geometric phase and topological selection rules in spin tunneling problems." Europhysics Letters (EPL) 62, no. 5 (June 2003): 726–31. http://dx.doi.org/10.1209/epl/i2003-00433-3.

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32

Du, Faqi, and Feng Fu. "Partner Selection Shapes the Strategic and Topological Evolution of Cooperation." Dynamic Games and Applications 1, no. 3 (May 5, 2011): 354–69. http://dx.doi.org/10.1007/s13235-011-0015-6.

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BALACHANDRAN, A. P., E. BATISTA, I. P. COSTA e SILVA, and P. TEOTONIO-SOBRINHO. "QUANTUM TOPOLOGY CHANGE IN (2+1)d." International Journal of Modern Physics A 15, no. 11 (April 30, 2000): 1629–60. http://dx.doi.org/10.1142/s0217751x00000732.

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The topology of orientable (2+1) space–times can be captured by certain lumps of nontrivial topology called topological geons. They are the topological analogs of conventional solitons. We give a description of topological geons where the degrees of freedom related to topology are separated from the complete theory that contain metric (dynamical) degrees of freedom. The formalism also allows us to investigate processes of quantum topology change. They correspond to creation and annihilation of quantum geons. Selection rules for such processes are derived.

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34

K. Kamala. "Application Of Rd-Fuzzy Topology In Selection Of Roads To Travel Based On Traffic." Tuijin Jishu/Journal of Propulsion Technology 44, no. 3 (November 24, 2023): 4082–93. http://dx.doi.org/10.52783/tjjpt.v44.i3.2250.

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Road traffic is the main concern of every person who is travelling along the road. This traffic directly related with the hurdles persisting among the roads. These hurdles measured as a value between 0 to 1, which in turn satisfy the topological axioms called rd-fuzzy topology. The best routes for the drivers discovered by treating the overall road network of the city as graph and using the cyclic path covering number of graphs and compactness property of rd-fuzzy topology. Finally, some of the basic topological properties proved in this rd-fuzzy topology.

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35

Shi, Hao, Baoqun Yin, Yu Kang, Chao Shao, and Jie Gui. "Robust L-Isomap with a Novel Landmark Selection Method." Mathematical Problems in Engineering 2017 (2017): 1–12. http://dx.doi.org/10.1155/2017/3930957.

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Isomap is a widely used nonlinear method for dimensionality reduction. Landmark-Isomap (L-Isomap) has been proposed to improve the scalability of Isomap. In this paper, we focus on two important issues that were not taken into account in L-Isomap, landmark point selection and topological stability. At first, we present a novel landmark point selection method. It first uses a greedy strategy to select some points as landmark candidates and then removes the candidate points that are neighbours of other candidates. The remaining candidate points are the landmark points. The selection method can promote the computation efficiency without sacrificing accuracy. For the topological stability, we define edge density for each edge in the neighbourhood graph. According to the geometrical characteristic of the short-circuit edges, we provide a method to eliminate the short-circuit edge without breaking the data integrity. The approach that integrates L-Isomap with these two improvements is referred to as Robust L-Isomap (RL-Isomap). The effective performance of RL-Isomap is confirmed through several numerical experiments.

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36

Lyakhovets, Daniil, and Alexander Osipov. "Selection principles and games in bitopological function spaces." Filomat 33, no. 14 (2019): 4535–40. http://dx.doi.org/10.2298/fil1914535l.

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For a Tychonoff space X, we denote by (C(X), ?k ?p) the bitopological space of all real-valued continuous functions on X, where ?k is the compact-open topology and ?p is the topology of pointwise convergence. In the papers [6, 7, 13] variations of selective separability and tightness in (C(X),?k,?p) were investigated. In this paper we continue to study the selective properties and the corresponding topological games in the space (C(X),?k,?p).

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Damicelli, Fabrizio, Claus C. Hilgetag, Marc-Thorsten Hütt, and Arnaud Messé. "Topological reinforcement as a principle of modularity emergence in brain networks." Network Neuroscience 3, no. 2 (January 2019): 589–605. http://dx.doi.org/10.1162/netn_a_00085.

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Modularity is a ubiquitous topological feature of structural brain networks at various scales. Although a variety of potential mechanisms have been proposed, the fundamental principles by which modularity emerges in neural networks remain elusive. We tackle this question with a plasticity model of neural networks derived from a purely topological perspective. Our topological reinforcement model acts enhancing the topological overlap between nodes, that is, iteratively allowing connections between non-neighbor nodes with high neighborhood similarity. This rule reliably evolves synthetic random networks toward a modular architecture. Such final modular structure reflects initial “proto-modules,” thus allowing to predict the modules of the evolved graph. Subsequently, we show that this topological selection principle might be biologically implemented as a Hebbian rule. Concretely, we explore a simple model of excitable dynamics, where the plasticity rule acts based on the functional connectivity (co-activations) between nodes. Results produced by the activity-based model are consistent with the ones from the purely topological rule in terms of the final network configuration and modules composition. Our findings suggest that the selective reinforcement of topological overlap may be a fundamental mechanism contributing to modularity emergence in brain networks.

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38

Evstigneev, I. V. "MEASURABLE SELECTION THEOREMS AND PROBABILISTIC CONTROL MODELS IN GENERAL TOPOLOGICAL SPACES." Mathematics of the USSR-Sbornik 59, no. 1 (February 28, 1988): 25–37. http://dx.doi.org/10.1070/sm1988v059n01abeh003122.

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39

Camassa, R., S. Chen, G. Falqui, G. Ortenzi, and M. Pedroni. "Topological selection in stratified fluids: an example from air–water systems." Journal of Fluid Mechanics 743 (March 6, 2014): 534–53. http://dx.doi.org/10.1017/jfm.2013.644.

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AbstractTopologically non-trivial configurations of stratified fluid domains are shown to generate selection mechanisms for conserved quantities. This is illustrated within the special case of a two-fluid system when the density of one of the fluids limits to zero, such as in the case of air and water. An explicit example is provided, demonstrating how the connection properties of the air domain affect total horizontal momentum conservation, despite the apparent translational invariance of the system. The correspondence between this symmetry and the selection process is also studied within the framework of variational principles for stratified ideal fluids.

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40

Tezuka, Yasuyuki. "Topological polymer chemistry by dynamic selection from electrostatic polymer self-assembly." Chemical Record 5, no. 1 (2005): 17–26. http://dx.doi.org/10.1002/tcr.20029.

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41

Deng, Wei-Min, Xiao-Dong Chen, Wen-Jie Chen, Fu-Li Zhao, and Jian-Wen Dong. "Vortex index identification and unidirectional propagation in Kagome photonic crystals." Nanophotonics 8, no. 5 (April 12, 2019): 833–40. http://dx.doi.org/10.1515/nanoph-2019-0009.

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AbstractVortex field in photonic metamaterials has been revealed in recent years, which provides an extra degree of freedom to control the behavior of electromagnetic waves, such as the unidirectional propagation in topological metamaterials and orbital angular momentum multiplexing in optical fibers. Achieving topologically protected unidirectionality needs an external source either with a vortex index of m = ±1 (i.e. 2πm phase winding around phase singularity) or with a spin index of ±1 (i.e. right- or left-handed circular polarization). However, it is still an open question on the relationship between higher-order (|m | > 1) vortex field and topological metamaterials. Here, we study the excitation of valley bulk states by a source with a higher-order vortex index in Kagome photonic crystals. The selection rule for the excitation of valley bulk states is derived and can be applied to predict the selective excitation of valley bulk states by a source with a higher-order vortex index. Interestingly, we find that the Fourier spectrum and the averaged Fourier spectrum of the Ez component enable us to identify the vortex index of the source. Besides, it is shown that the unidirectional edge states can be excited by a source with a vortex index of 1 or 2 in a straight or 120° detour waveguide. Our work paves the way for the demonstration of the selection rule and may have potential applications in optical mode identification.

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Jing, Ya Tao, Li Wei Hu, and Jiang Yue. "The Application of Modified Delphi Method in the Topological Optimization Site Selection of Offshore Wind Farm." Advanced Materials Research 512-515 (May 2012): 661–64. http://dx.doi.org/10.4028/www.scientific.net/amr.512-515.661.

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Core of the topological optimization site selection of offshore wind farm is Delphi method. The paper divides the investigated experts into industry experts and professional experts, which respectively score the weighting coefficient and its value of the influence factors of offshore wind farm. The separate marking scheme can well develop the ability of experts, avoid the specialty bias and thereby improve the assessment accuracy. Another modification is to apply the accumulative vote method in the first stage of topological optimization site selection instead of designers’ own judgments, which gives a good solution to classify the disputed factors, and avoids fault or deviation due to the knowledge deficiency of designers. In addition, the data analysis results should be reassessed by the industry experts. And in company with the reassessment opinion the data analysis results are the basis for designers to determine the best sea area for offshore wind farm construction, which gives an extra guarantee for the scientific site selection.

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Barath, JG Nataraj, Ayyasamy Soundarrajan, Serhii Stepenko, Oleksandr Husev, Dmitri Vinnikov, and Minh-Khai Nguyen. "Topological Review of Quasi-Switched Boost Inverters." Electronics 10, no. 12 (June 20, 2021): 1485. http://dx.doi.org/10.3390/electronics10121485.

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This paper presents a comprehensive review based on the features and drawbacks of the quasi-switched boost inverter (qSBI) topologies. The qSBI derived configurations are well suitable for low power applications due to their reduced number of components. This work focuses on the topological review of qSBI derived topologies and serves as a reference for further derivation and research on the selection of suitable topology for the specific renewable energy applications, particularly based on the photovoltaic (PV) converters.

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Guo, Hao, Yao Li, Godfred Kim Mensah, Yong Xu, Junjie Chen, Jie Xiang, and Dongwei Chen. "Resting-State Functional Network Scale Effects and Statistical Significance-Based Feature Selection in Machine Learning Classification." Computational and Mathematical Methods in Medicine 2019 (November 4, 2019): 1–18. http://dx.doi.org/10.1155/2019/9108108.

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In recent years, functional brain network topological features have been widely used as classification features. Previous studies have found that network node scale differences caused by different network parcellation definitions significantly affect the structure of the constructed network and its topological properties. However, we still do not know how network scale differences affect the classification accuracy, performance of classification features, and effectiveness of the feature selection strategy using P values in terms of the machine learning method. This study used five scale parcellations, involving 90, 256, 497, 1003, and 1501 nodes. Three local properties of resting-state functional brain networks were selected (degree, betweenness centrality, and nodal efficiency), and the support vector machine method was used to construct classifiers to identify patients with major depressive disorder. We analyzed the impact of the five scales on classification accuracy. In addition, the effectiveness and redundancy of features obtained by the different scale parcellations were compared. Finally, traditional statistical significance (P value) was verified as a feature selection criterion. The results showed that the feature effectiveness of different scales was similar; in other words, parcellation with more regions did not provide more effective discriminative features. Nevertheless, parcellation with more regions did provide a greater quantity of discriminative features, which led to an improvement in the accuracy of the classification. However, due to the close distance between brain regions, the redundancy of parcellation with more regions was also greater. The traditional P value feature selection strategy is feasible with different scales, but our analysis showed that the traditional P<0.05 threshold was too strict for feature selection. This study provides an important reference for the selection of network scales when applying topological properties of brain networks to machine learning methods.

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Andrijevic, Dimitrije, Milena Jelic, and Mila Mrsevic. "Some properties of hyperspaces of Cech closure spaces with Vietoris-like topologies." Filomat 24, no. 4 (2010): 53–61. http://dx.doi.org/10.2298/fil1004053a.

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We study some topological properties of hyperspaces of Cech closure spaces endowed with Vietoris-like topologies. Some of these notions were introduced and considered in [9, 10] and [11], focussing on selection principles.

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Wu, Huiqun, Yi Chen, Xinlu Yuan, Xingyun Geng, Xiaofeng Zhang, Lili Shi, Xiaoyan Shen, Kui Jiang, and Jiancheng Dong. "Topological Framework Based Retinal Vessel Geometric Features Extraction and Selection with Least Absolute Shrinkage and Selection Operator." Journal of Medical Imaging and Health Informatics 6, no. 5 (September 1, 2016): 1282–87. http://dx.doi.org/10.1166/jmihi.2016.1913.

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Sandgren, E. "Nonlinear Integer and Discrete Programming for Topological Decision Making in Engineering Design." Journal of Mechanical Design 112, no. 1 (March 1, 1990): 118–22. http://dx.doi.org/10.1115/1.2912568.

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The use of integer, discrete, and zero-one design variables to represent topological design decisions is presented. A general purpose algorithm for solving nonlinear problems involving material assembly and other topological decisions is described. The algorithm couples a branch and bound approach with an exterior penalty function and a quadratic programming method. Examples concerning the design of a support beam and a structural truss are presented with decisions involving material selection, assembly, and crossectional geometry included in the problem formulation.

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Alshammari, Ibtesam, Parimala Mani, Cenap Ozel, and Harish Garg. "Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces." Symmetry 13, no. 1 (January 1, 2021): 69. http://dx.doi.org/10.3390/sym13010069.

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Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet considered. This work is a gateway to study such a problem. This paper motivates an enquiry of the third component—abstain—in practical problems. The aim of this paper is to investigate the contemporary notion of picture fuzzy nano topological spaces and explore some of its properties. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding the file selection of building material under uncertainty by using picture fuzzy nano topological spaces is developed. As a practical problem, a comparison table is presented to show the difference between the novel concept and the existing methods.

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Tang, Zehuan, Jiachao Xu, Bowei Wu, Shuanghuizhi Li, Fei Sun, Tingfeng Ma, Iren Kuznetsova, Ilya Nedospasov, Boyue Su, and Pengfei Kang. "Topological Valley Transport of Elastic Waves Based on Periodic Triangular-Lattices." Crystals 13, no. 1 (December 30, 2022): 67. http://dx.doi.org/10.3390/cryst13010067.

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Topological transports of elastic waves have attracted much attention because of their unique immunity to defects and backscattering-suppression ability. Periodic lattice structures are ideal carriers of elastic-wave transports due to their ability to manipulate elastic waves. Compared with honeycomb-lattice structures, the wave-guide-path designs of triangular-lattice structures have higher flexibility. In this paper, topological transports of elastic waves in the periodic triangular-lattice structure are explored. It is shown that differences between intra-coupling and inter-coupling radii can cause the destruction of the effective spatial inversion symmetry, which gives rise to the valley Hall phase transition and the forming of topological edge states. Utilizing valley Hall effect, topological transports of elastic waves traveling along linear and Z-shaped waveguides are realized with low scattering and immunity to defects. On this basis, the path-selection function of transports of elastic waves in periodic triangular-lattice structures is obtained. Topological valley Hall edge states of elastic waves in periodic triangular-lattice structures have a good application prospects in elastic-wave manipulations and communications.

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White, Homer S. "Algorithmic complexity of points in dynamical systems." Ergodic Theory and Dynamical Systems 13, no. 4 (December 1993): 807–30. http://dx.doi.org/10.1017/s0143385700007653.

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AbstractThis work is based on the author's dissertation. We examine the algorithmic complexity (in the sense of Kolmogorov and Chaitin) of the orbits of points in dynamical systems. Extending a theorem of A. A. Brudno, we note that for any ergodic invariant probability measure on a compact dynamical system, almost every trajectory has a limiting complexity equal to the entropy of the system. We use these results to show that for minimal dynamical systems, and for systems with the tracking property (a weaker version of specification), the set of points whose trajectories have upper complexity equal to the topological entropy is residual. We give an example of a topologically transitive system with positive entropy for which an uncountable open set of points has upper complexity equal to zero. We use techniques from universal data compression to prove a recurrence theorem: if a compact dynamical system has a unique measure of maximal entropy, then any point whose lower complexity is equal to the topological entropy is generic for that unique measure. Finally, we discuss algorithmic versions of the theorem of Kamae on preservation of the class of normal sequences under selection by sequences of zero Kamae-entropy.

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