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Journal articles on the topic 'Nonlinear reconstruction'

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1

Yu, Yu, Hong-Ming Zhu, and Ue-Li Pen. "Halo Nonlinear Reconstruction." Astrophysical Journal 847, no. 2 (2017): 110. http://dx.doi.org/10.3847/1538-4357/aa89e7.

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2

Amat, Sergio, Alberto Magreñan, Juan Ruiz, Juan Carlos Trillo, and Dionisio F. Yañez. "On the Application of the Generalized Means to Construct Multiresolution Schemes Satisfying Certain Inequalities Proving Stability." Mathematics 9, no. 5 (2021): 533. http://dx.doi.org/10.3390/math9050533.

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Multiresolution representations of data are known to be powerful tools in data analysis and processing, and they are particularly interesting for data compression. In order to obtain a proper definition of the edges, a good option is to use nonlinear reconstructions. These nonlinear reconstruction are the heart of the prediction processes which appear in the definition of the nonlinear subdivision and multiresolution schemes. We define and study some nonlinear reconstructions based on the use of nonlinear means, more in concrete the so-called Generalized means. These means have two interesting
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3

Kaiser, Nick. "Nonlinear cluster lens reconstruction." Astrophysical Journal 439 (January 1995): L1. http://dx.doi.org/10.1086/187730.

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4

Andia, B. I., K. D. Sauer, and C. A. Bouman. "Nonlinear backprojection for tomographic reconstruction." IEEE Transactions on Nuclear Science 49, no. 1 (2002): 61–68. http://dx.doi.org/10.1109/tns.2002.998682.

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5

Allingham, David, Matthew West, and Alistair I. Mees. "Wavelet Reconstruction of Nonlinear Dynamics." International Journal of Bifurcation and Chaos 08, no. 11 (1998): 2191–201. http://dx.doi.org/10.1142/s0218127498001789.

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We investigate the reconstruction of embedded time-series from chaotic dynamical systems using wavelets. The standard wavelet transforms are not applicable because of the embedding, and we use a basis pursuit method which on its own does not perform very well. When this is combined with a continuous optimizer, however, we obtain very good models. We discuss the success of this method and apply it to some data from a vibrating string experiment.
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6

Tieng, Quang M., and Viktor Vegh. "Magnetic resonance imaging in nonlinear fields with nonlinear reconstruction." Concepts in Magnetic Resonance Part B: Magnetic Resonance Engineering 39B, no. 3 (2011): 128–40. http://dx.doi.org/10.1002/cmr.b.20200.

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7

Scherf, N., J. Einenkel, L. C. Horn, et al. "Large Histological Serial Sections for Computational Tissue Volume Reconstruction." Methods of Information in Medicine 46, no. 05 (2007): 614–22. http://dx.doi.org/10.1160/me9065.

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Summary Objectives: A proof of principle study was conducted for microscopic tissue volume reconstructions using a new image processing chain operating on alternately stained large histological serial sections. Methods: Digital histological images were obtained from conventional brightfield transmitted light microscopy. A powerful nonparametric nonlinear optical flow-based registration approach was used. In order to apply a simple but computationally feasible sum-of-squared-differences similarity measure even in case of differing histological stainings, a new consistent tissue segmentation pro
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8

Yu, Yu, and Hong-Ming Zhu. "Nonlinear Reconstruction of the Velocity Field." Astrophysical Journal 887, no. 2 (2019): 265. http://dx.doi.org/10.3847/1538-4357/ab5580.

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9

Brach, R. Matthew, Raymond M. Brach, and Richard A. Mink. "Nonlinear Optimization in Vehicular Crash Reconstruction." SAE International Journal of Transportation Safety 3, no. 1 (2015): 17–27. http://dx.doi.org/10.4271/2015-01-1433.

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10

Dobson, D. C. "Phase reconstruction via nonlinear least-squares." Inverse Problems 8, no. 4 (1992): 541–58. http://dx.doi.org/10.1088/0266-5611/8/4/007.

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11

Jia, Qingxian, Wen Chen, Yingchun Zhang, and Yu Jiang. "Robust Fault Reconstruction in Discrete-Time Lipschitz Nonlinear Systems via Euler-Approximate Proportional Integral Observers." Mathematical Problems in Engineering 2015 (2015): 1–14. http://dx.doi.org/10.1155/2015/741702.

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The problem of observer-based robust fault reconstruction for a class of nonlinear sampled-data systems is investigated. A discrete-time Lipschitz nonlinear system is first established, and its Euler-approximate model is described; then, an Euler-approximate proportional integral observer (EPIO) is constructed such that simultaneous reconstruction of system states and actuator faults are guaranteed. The presented EPIO possesses the disturbance-decoupling ability because its architecture is similar to that of a nonlinear unknown input observer. The robust stability of the EPIO and convergence o
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12

Butkus, R., R. Gadonas, J. Janušonis, et al. "Nonlinear self-reconstruction of truncated Bessel beam." Optics Communications 206, no. 1-3 (2002): 201–9. http://dx.doi.org/10.1016/s0030-4018(02)01397-4.

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13

Tasdizen, T., and R. Whitaker. "Higher-order nonlinear priors for surface reconstruction." IEEE Transactions on Pattern Analysis and Machine Intelligence 26, no. 7 (2004): 878–91. http://dx.doi.org/10.1109/tpami.2004.31.

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14

Baranov, V. A., U. Ewert, H. M. Kröning, V. V. Brazovsky, E. S. Uchaikina, and V. K. Kuleshov. "Nonlinear backprojection in reconstruction nondestructive testing methods." Russian Journal of Nondestructive Testing 47, no. 10 (2011): 696–700. http://dx.doi.org/10.1134/s1061830911100044.

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15

Deyle, Ethan R., and George Sugihara. "Generalized Theorems for Nonlinear State Space Reconstruction." PLoS ONE 6, no. 3 (2011): e18295. http://dx.doi.org/10.1371/journal.pone.0018295.

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16

Dicken, V., P. Maaß, I. Menz, J. Niebsch, and R. Ramlau. "Nonlinear inverse unbalance reconstruction in rotor dynamics." Inverse Problems in Science and Engineering 13, no. 5 (2005): 507–43. http://dx.doi.org/10.1080/17415970500104234.

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17

Cavaro, Matthieu, and Cédric Payan. "Microbubble histogram reconstruction by nonlinear frequency mixing." Journal of the Acoustical Society of America 133, no. 5 (2013): 3546. http://dx.doi.org/10.1121/1.4806428.

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18

Cascudo, Ignacio, Ronald Cramer, Diego Mirandola, Carles Padró, and Chaoping Xing. "On Secret Sharing with Nonlinear Product Reconstruction." SIAM Journal on Discrete Mathematics 29, no. 2 (2015): 1114–31. http://dx.doi.org/10.1137/130931886.

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19

Redmill, D. W., and D. R. Bull. "Nonlinear perfect reconstruction critically decimated filter banks." Electronics Letters 32, no. 4 (1996): 310. http://dx.doi.org/10.1049/el:19960214.

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20

Zhang, Xin, and Edmund Y. Lam. "Superresolution reconstruction using nonlinear gradient-based regularization." Multidimensional Systems and Signal Processing 20, no. 4 (2008): 375–84. http://dx.doi.org/10.1007/s11045-008-0072-1.

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21

He, Jing, and Changfan Zhang. "Fault Reconstruction Based on Sliding Mode Observer for Nonlinear Systems." Mathematical Problems in Engineering 2012 (2012): 1–22. http://dx.doi.org/10.1155/2012/451843.

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This paper presents a precision fault reconstruction scheme for a class of nonlinear systems involving unknown input disturbances. First, using the coordinate transformation algorithm, the disturbances and faults of the system are fully decoupled. Therefore, it is possible to eliminate the influence of disturbances to the system, namely, better disturbances robustness. On this basis, the design of a sliding mode state observer makes the most genuine reconstruction realizable, instead of estimation of faults. Furthermore, with the equivalent principle of sliding mode variable structure, the pre
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22

Khosrowjerdi, M. J. "Robust Sensor Fault Reconstruction for Lipschitz Nonlinear Systems." Mathematical Problems in Engineering 2011 (2011): 1–17. http://dx.doi.org/10.1155/2011/146038.

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We extend existing theory on robust nonlinear observer design to the class of nonlinear Lipschitz systems where the systems are subject to sensor faults and disturbances. The designed observer is used for robust reconstruction of fault signals. Allowing bounded unknown disturbances to model system uncertainties, it is shown that by adjusting a design parameter we can trade off between fault reconstruction and disturbance attenuation. An LMI procedure solvable using commercially available softwares is presented. Two examples are presented to illustrate the application of the results.
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23

Qi, Yusheng, Guangyu Wu, Yuming Liu, Moo-Hyun Kim, and Dick K. P. Yue. "Nonlinear phase-resolved reconstruction of irregular water waves." Journal of Fluid Mechanics 838 (January 25, 2018): 544–72. http://dx.doi.org/10.1017/jfm.2017.904.

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We develop and validate a high-order reconstruction (HOR) method for the phase-resolved reconstruction of a nonlinear wave field given a set of wave measurements. HOR optimizes the amplitude and phase of $L$ free wave components of the wave field, accounting for nonlinear wave interactions up to order $M$ in the evolution, to obtain a wave field that minimizes the reconstruction error between the reconstructed wave field and the given measurements. For a given reconstruction tolerance, $L$ and $M$ are provided in the HOR scheme itself. To demonstrate the validity and efficacy of HOR, we perfor
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24

Wang, Z. G., Y. Liu, G. Wang, and L. Z. Sun. "Elastography Method for Reconstruction of Nonlinear Breast Tissue Properties." International Journal of Biomedical Imaging 2009 (2009): 1–9. http://dx.doi.org/10.1155/2009/406854.

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Elastography is developed as a quantitative approach to imaging linear elastic properties of tissues to detect suspicious tumors. In this paper a nonlinear elastography method is introduced for reconstruction of complex breast tissue properties. The elastic parameters are estimated by optimally minimizing the difference between the computed forces and experimental measures. A nonlinear adjoint method is derived to calculate the gradient of the objective function, which significantly enhances the numerical efficiency and stability. Simulations are conducted on a three-dimensional heterogeneous
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25

Han, Bo, Qinglong He, Yong Chen, and Yixin Dou. "Seismic Waveform Inversion Using the Finite-Difference Contrast Source Inversion Method." Journal of Applied Mathematics 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/532159.

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This paper extends the finite-difference contrast source inversion method to reconstruct the mass density for two-dimensional elastic wave inversion in the framework of the full-waveform inversion. The contrast source inversion method is a nonlinear iterative method that alternatively reconstructs contrast sources and contrast function. One of the most outstanding advantages of this inversion method is the highly computational efficiency, since it does not need to simulate a full forward problem for each inversion iteration. Another attractive feature of the inversion method is that it is of s
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26

MEES, ALISTAIR. "PARSIMONIOUS DYNAMICAL RECONSTRUCTION." International Journal of Bifurcation and Chaos 03, no. 03 (1993): 669–75. http://dx.doi.org/10.1142/s021812749300057x.

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Many nonlinear deterministic models of time series have large numbers of parameters and tend to overfit in the presence of noise. This paper shows how to generate radial basis function models with small numbers of parameters for a given quality of fit. It also addresses questions of how to select subsets from candidate sets of centers for radial basis function models, and what kinds of basis functions to use, as well as how large a model is appropriate.
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27

Huang, Yu, Lichao Yang, and Zuntao Fu. "Reconstructing coupled time series in climate systems using three kinds of machine-learning methods." Earth System Dynamics 11, no. 3 (2020): 835–53. http://dx.doi.org/10.5194/esd-11-835-2020.

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Abstract. Despite the great success of machine learning, its application in climate dynamics has not been well developed. One concern might be how well the trained neural networks could learn a dynamical system and what will be the potential application of this kind of learning. In this paper, three machine-learning methods are used: reservoir computer (RC), backpropagation-based (BP) artificial neural network, and long short-term memory (LSTM) neural network. It shows that the coupling relations or dynamics among variables in linear or nonlinear systems can be inferred by RC and LSTM, which c
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28

de Sá Feital, Thiago, Julio Cesar Sampaio Dutra, José Carlos Pinto, and Enrique Luis Lima. "Nonlinear Fault Identification Index Based on Variable Reconstruction." IFAC Proceedings Volumes 42, no. 8 (2009): 456–61. http://dx.doi.org/10.3182/20090630-4-es-2003.00076.

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29

Elliott, Andrew M., Matt A. Bernstein, Heidi A. Ward, John Lane, and Robert J. Witte. "Nonlinear averaging reconstruction method for phase-cycle SSFP." Magnetic Resonance Imaging 25, no. 3 (2007): 359–64. http://dx.doi.org/10.1016/j.mri.2006.09.013.

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30

Xu Hai-Bo, Yu Bo, and Ying Yang-Jun. "Two nonlinear reconstruction methods of neutron penumbral imaging." Acta Physica Sinica 59, no. 8 (2010): 5351. http://dx.doi.org/10.7498/aps.59.5351.

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31

Chaib, S., D. Boutat, A. Benali, and F. Kratz. "Failure detection and reconstruction in switched nonlinear systems." Nonlinear Analysis: Hybrid Systems 3, no. 3 (2009): 225–38. http://dx.doi.org/10.1016/j.nahs.2009.01.013.

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32

Kuznetsova, Tatiana I., and I. A. Walmsley. "Reconstruction of temporal signals from nonlinear-optical measurements." Quantum Electronics 28, no. 8 (1998): 728–32. http://dx.doi.org/10.1070/qe1998v028n08abeh001312.

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33

Hongze Liu, A. R. Hawkins, S. M. Schultz, and T. E. Oliphant. "Fast Nonlinear Image Reconstruction for Scanning Impedance Imaging." IEEE Transactions on Biomedical Engineering 55, no. 3 (2008): 970–77. http://dx.doi.org/10.1109/tbme.2007.905485.

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34

Hampson, F. J., and J. C. Pesquet. "M-band nonlinear subband decompositions with perfect reconstruction." IEEE Transactions on Image Processing 7, no. 11 (1998): 1547–60. http://dx.doi.org/10.1109/83.725362.

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35

Berryman, J. G. "Stable iterative reconstruction algorithm for nonlinear traveltime tomography." Inverse Problems 6, no. 1 (1990): 21–42. http://dx.doi.org/10.1088/0266-5611/6/1/005.

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36

Pan, Wei, Aivar Sootla, and Guy-Bart Stan. "Distributed Reconstruction of Nonlinear Networks: An ADMM Approach." IFAC Proceedings Volumes 47, no. 3 (2014): 3208–13. http://dx.doi.org/10.3182/20140824-6-za-1003.02602.

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37

Knoll, Florian, Christian Clason, Kristian Bredies, Martin Uecker, and Rudolf Stollberger. "Parallel imaging with nonlinear reconstruction using variational penalties." Magnetic Resonance in Medicine 67, no. 1 (2011): 34–41. http://dx.doi.org/10.1002/mrm.22964.

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38

Jiang Hsieh. "A nonlinear helical reconstruction algorithm for multislice CT." IEEE Transactions on Nuclear Science 49, no. 3 (2002): 740–44. http://dx.doi.org/10.1109/tns.2002.1039557.

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39

Hu, Yunyi, James G. Nagy, Jianjun Zhang, and Martin S. Andersen. "Nonlinear optimization for mixed attenuation polyenergetic image reconstruction." Inverse Problems 35, no. 6 (2019): 064004. http://dx.doi.org/10.1088/1361-6420/ab0131.

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40

Zhang, Yingwei, Yunpeng Fan, and Wenyou Du. "Nonlinear Process Monitoring Using Regression and Reconstruction Method." IEEE Transactions on Automation Science and Engineering 13, no. 3 (2016): 1343–54. http://dx.doi.org/10.1109/tase.2016.2564442.

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41

Montefusco, L. B., D. Lazzaro, and S. Papi. "Fast Sparse Image Reconstruction Using Adaptive Nonlinear Filtering." IEEE Transactions on Image Processing 20, no. 2 (2011): 534–44. http://dx.doi.org/10.1109/tip.2010.2062194.

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42

Liu, Jian, Yuexin Zhang, and Chunfeng Li. "ANFIS-Based Signal Reconstruction for Nonlinear Multifunctional Sensor." Journal of The Institution of Engineers (India): Series B 100, no. 5 (2019): 397–404. http://dx.doi.org/10.1007/s40031-019-00403-1.

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43

Chin-Hsing, Chen, Lee Ann-Shu, Lee Jiann-Der, and W. H. Yang. "3D image reconstruction of bladder by nonlinear interpolation." Mathematical and Computer Modelling 22, no. 8 (1995): 61–72. http://dx.doi.org/10.1016/0895-7177(95)00155-u.

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44

Zhu, Ying, Yong Xing Jia, Yuan Wang, Chuan Zhen Rong, and Yu Yang. "Noisy Image Compressive Sensing Based on Nonlinear Diffusion Filter." Applied Mechanics and Materials 510 (February 2014): 278–82. http://dx.doi.org/10.4028/www.scientific.net/amm.510.278.

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In the theory of compreesive sensing, the small amount of signal values can be reconstructed when signal is sparse or compressible.But the reconstruction of noisy image isnt very satisfied.In order to improve the quality of reconstruction image,the nonlinear diffusion filter is used in this paper.From the experiment results,the images reconstructed after nonlinear diffusion filter are better,and the value of PSNR is improved.
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45

Adenan, N. H., and M. S. M. Noorani. "Downstream prediction using a nonlinear prediction method." Hydrology and Earth System Sciences Discussions 10, no. 11 (2013): 14331–54. http://dx.doi.org/10.5194/hessd-10-14331-2013.

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Abstract. The estimation of river flow is significantly related to the impact of urban hydrology, as this could provide information to solve important problems, such as flooding downstream. The nonlinear prediction method has been employed for analysis of four years of daily river flow data for the Langat River at Kajang, Malaysia, which is located in a downstream area. The nonlinear prediction method involves two steps; namely, the reconstruction of phase space and prediction. The reconstruction of phase space involves reconstruction from a single variable to the m-dimensional phase space in
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46

Blumensath, Thomas, and Richard Boardman. "Non-convexly constrained image reconstruction from nonlinear tomographic X-ray measurements." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2043 (2015): 20140393. http://dx.doi.org/10.1098/rsta.2014.0393.

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The use of polychromatic X-ray sources in tomographic X-ray measurements leads to nonlinear X-ray transmission effects. As these nonlinearities are not normally taken into account in tomographic reconstruction, artefacts occur, which can be particularly severe when imaging objects with multiple materials of widely varying X-ray attenuation properties. In these settings, reconstruction algorithms based on a nonlinear X-ray transmission model become valuable. We here study the use of one such model and develop algorithms that impose additional non-convex constraints on the reconstruction. This a
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47

HUIJBERTS, H. J. C., T. LILGE, and H. NIJMEIJER. "NONLINEAR DISCRETE-TIME SYNCHRONIZATION VIA EXTENDED OBSERVERS." International Journal of Bifurcation and Chaos 11, no. 07 (2001): 1997–2006. http://dx.doi.org/10.1142/s0218127401003218.

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A method is described for the synchronization of nonlinear discrete-time dynamics. The methodology consists of constructing observer–receiver dynamics that exploit at each time instant the drive signal and buffered past values of the drive signal. In this way, the method can be viewed as a dynamic reconstruction mechanism, in contrast to existing static inversion methods from the theory of dynamical systems. The method is illustrated on a few simulation examples consisting of coupled chaotic logistic equations. Also, a discrete-time message reconstruction scheme is simulated using the extended
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48

Yang, Xiaojiang, Xiaotao Wen, Dongyong Zhou, Yahui Wang, Zhenghe Yan, and Xiao Li. "Reconstruction of distorted structures in the fault shadow zone based on the fully connected network." Interpretation 9, no. 4 (2021): T1089—T1100. http://dx.doi.org/10.1190/int-2020-0233.1.

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Lateral changes in velocity about faults can give rise to fault shadow (FS) zones on time-migrated data volumes, which can result in structural interpretation artifacts in the fault trap reservoir. To address this issue, we have adopted a new reconstruction method of FS distortion structures based on a deep learning fully connected network (FCN). We use the 3D stratigraphic dip attributes to quantitatively delineate the extent of the FS zone. Then, we train a model to construct a nonlinear trend surface based on the structures of the stratigraphic reflectors that fall outside of the shadow zon
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49

CHUNG, J. W., K. S. SHIN, and S. C. HONG. "ELECTRONIC STRUCTURE AND RECONSTRUCTION OF THE Mo(001) SURFACE." Modern Physics Letters B 07, no. 13n14 (1993): 865–80. http://dx.doi.org/10.1142/s0217984993000862.

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Recent developments in understanding the nature of surface electronic structure focused on illuminating the electronic origin of reconstruction of the Mo (001) surface have been reviewed. The long-standing disputes between two competing theoretical models, the charge density wave model and the local bonding model, for the driving mechanism of the reconstructional transition seem to be resolved by recent experimental evidences favoring the Peierls-type 2kF instabilities with significant matrix element effects. Details of recent experimental and theoretical findings for the surface electronic ba
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50

Japkowicz, Nathalie, Stephen José Hanson, and Mark A. Gluck. "Nonlinear Autoassociation Is Not Equivalent to PCA." Neural Computation 12, no. 3 (2000): 531–45. http://dx.doi.org/10.1162/089976600300015691.

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A common misperception within the neural network community is that even with nonlinearities in their hidden layer, autoassociators trained with backpropagation are equivalent to linear methods such as principal component analysis (PCA). Our purpose is to demonstrate that nonlinear autoassociators actually behave differently from linear methods and that they can outperform these methods when used for latent extraction, projection, and classification. While linear autoassociators emulate PCA, and thus exhibit a flat or unimodal reconstruction error surface, autoassociators with nonlinearities in
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