Journal articles: 'Non-separable'

1

Benamira, F., J. P. Provost, and G. Vallée. "Separable and non-separable spin glass models." Journal de Physique 46, no. 8 (1985): 1269–75. http://dx.doi.org/10.1051/jphys:019850046080126900.

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Mazumdar, Anupam, and Lingfei Wang. "Separable and non-separable multi-field inflation and large non-Gaussianity." Journal of Cosmology and Astroparticle Physics 2012, no. 09 (2012): 005. http://dx.doi.org/10.1088/1475-7516/2012/09/005.

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Bedratyuk, Leonid, Jan Flusser, Tomáš Suk, Jitka Kostková, and Jaroslav Kautsky. "Non-separable rotation moment invariants." Pattern Recognition 127 (July 2022): 108607. http://dx.doi.org/10.1016/j.patcog.2022.108607.

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4

Jackson, Bill, and Tibor Jordán. "Non-separable detachments of graphs." Journal of Combinatorial Theory, Series B 87, no. 1 (2003): 17–37. http://dx.doi.org/10.1016/s0095-8956(02)00026-6.

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Jackson, Bill, and Tibor Jordán. "Non-Separable Detachments of Graphs." Electronic Notes in Discrete Mathematics 10 (November 2001): 151–53. http://dx.doi.org/10.1016/s1571-0653(04)00382-8.

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Mars, Marc. "New non-separable diagonal cosmologies." Classical and Quantum Gravity 12, no. 11 (1995): 2831–47. http://dx.doi.org/10.1088/0264-9381/12/11/013.

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7

Bennett, Rosalind L., and Roger E. A. Farmer. "Indeterminacy with Non-separable Utility." Journal of Economic Theory 93, no. 1 (2000): 118–43. http://dx.doi.org/10.1006/jeth.1999.2633.

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Zhao, Xin, Jianle Chen, Marta Karczewicz, Amir Said, and Vadim Seregin. "Joint Separable and Non-Separable Transforms for Next-Generation Video Coding." IEEE Transactions on Image Processing 27, no. 5 (2018): 2514–25. http://dx.doi.org/10.1109/tip.2018.2802202.

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9

Saxon, Stephen A. "Non-Baire hyperplanes in non-separable Baire spaces." Journal of Mathematical Analysis and Applications 168, no. 2 (1992): 460–68. http://dx.doi.org/10.1016/0022-247x(92)90172-a.

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10

Zhang, Zhihua. "Non-Separable Meyer-like Wavelet Frames." Mathematics 10, no. 13 (2022): 2296. http://dx.doi.org/10.3390/math10132296.

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In the theory of wavelet frames, the known Daubechies wavelet bases have been generalized to compactly supported (Daubechies-like) wavelet frames, while the known bandlimited Meyer wavelet bases have not been generalized to date. In this study, we will generalize known Meyer wavelet basis into non-separable Meyer-like wavelet frames. By using a characteristic function to mask the Fourier transform of the one-dimensional Meyer scaling function with a width parameter, we can produce a family of Meyer-like frame scaling functions and associated Meyer-like wavelet frames. After that, by inserting a real-valued function into the width parameter of a one-dimensional Meyer-like frame scaling function, we propose a novel approach to construct non-separable Meyer-like frame scaling functions with unique circular symmetry. Finally, we construct the corresponding non-separable Meyer-like wavelet frames.

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11

Shah, Firdous A., Huzaifa L. Qadri, and Waseem Z. Lone. "Non-separable windowed linear canonical transform." Optik 251 (February 2022): 168192. http://dx.doi.org/10.1016/j.ijleo.2021.168192.

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12

Srivastava, Hari M., Firdous A. Shah, Tarun K. Garg, Waseem Z. Lone, and Huzaifa L. Qadri. "Non-Separable Linear Canonical Wavelet Transform." Symmetry 13, no. 11 (2021): 2182. http://dx.doi.org/10.3390/sym13112182.

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This study aims to achieve an efficient time-frequency representation of higher-dimensional signals by introducing the notion of a non-separable linear canonical wavelet transform in L2(Rn). The preliminary analysis encompasses the derivation of fundamental properties of the novel integral transform including the orthogonality relation, inversion formula, and the range theorem. To extend the scope of the study, we formulate several uncertainty inequalities, including the Heisenberg’s, logarithmic, and Nazorav’s inequalities for the proposed transform in the linear canonical domain. The obtained results are reinforced with illustrative examples.

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Boyack, Rufus, and John Lekner. "Non-existence of separable spheroidal beams." Journal of Optics 13, no. 8 (2011): 085701. http://dx.doi.org/10.1088/2040-8978/13/8/085701.

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14

Matsumoto, Saburo. "Non-separable surfaces in cubed manifolds." Proceedings of the American Mathematical Society 125, no. 11 (1997): 3439–46. http://dx.doi.org/10.1090/s0002-9939-97-04015-x.

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15

Bredies, Kristian, and Dirk A. Lorenz. "Regularization with non-convex separable constraints." Inverse Problems 25, no. 8 (2009): 085011. http://dx.doi.org/10.1088/0266-5611/25/8/085011.

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Selesnick, Ivan W., and Ilker Bayram. "Enhanced Sparsity by Non-Separable Regularization." IEEE Transactions on Signal Processing 64, no. 9 (2016): 2298–313. http://dx.doi.org/10.1109/tsp.2016.2518989.

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Mars, Marc, and José M. M. Senovilla. "Non-diagonal separable perfect-fluid spacetimes." Classical and Quantum Gravity 14, no. 1 (1997): 205–26. http://dx.doi.org/10.1088/0264-9381/14/1/019.

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18

Chen, Been‐Lon, Shun‐Fa Lee, and Xavier Raurich. "Non‐separable utilities and aggregate instability." International Journal of Economic Theory 16, no. 2 (2018): 222–37. http://dx.doi.org/10.1111/ijet.12188.

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19

Pintus, Patrick A. "Local determinacy with non-separable utility." Journal of Economic Dynamics and Control 31, no. 2 (2007): 669–82. http://dx.doi.org/10.1016/j.jedc.2006.01.002.

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20

Wang, Austin Horng-En. "Who are the non-separable voters?" Electoral Studies 85 (October 2023): 102660. http://dx.doi.org/10.1016/j.electstud.2023.102660.

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21

Chung, Eric T., Yalchin Efendiev, Wing T. Leung, and Maria Vasilyeva. "Nonlocal multicontinua with representative volume elements. Bridging separable and non-separable scales." Computer Methods in Applied Mechanics and Engineering 377 (April 2021): 113687. http://dx.doi.org/10.1016/j.cma.2021.113687.

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22

Franzheva, Olena D. "Analysis of quasi-periodic space-time non-separable processes to support decision-making in medical monitoring systems." Herald of Advanced Information Technology 4, no. 3 (2021): 225–31. http://dx.doi.org/10.15276/hait.03.2021.2.

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In many decisionsupport systemsthere are processedchaotic spatial-time processes which are non-separable and quasi-periodic. Some examples of such systemsareepidemic spreading, population development, fire spreading, radio wave signals, image processing, information encryption, radio vision, etc. Processes in these systems have periodic character, e.g. seasonal fluctuations(epidemic spreading, population development), harmonic fluctuations (pattern recognition, image processing),etc. In simulation block the existing systems use separable process models which are presented as multiplication of spatialand temporal parts and are linearized. This significantly reduces the quality of spatial-time non-separable processes. The quality model building of chaotic spa-tial-time non-separable processwhich is processed by decisionsupport systemis necessary for getting of learning set. Itis really complicated especially if the random process is formed. The implementation ensemble of chaotic spatial-time non-separable process requires high costs what causes reduction of the system efficiency. Moreover, in many cases the implementation ensemble of spatial-time processes is impossible to get. In this workthemathematical model of a quasi-periodic spatial-time non-separable process has been developed. Based on it the formation method of this process has been developed and investigated. The epidemic spreading pro-cessed was presented as an example

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23

Banakh, Taras, Mirna Džamonja, and Lorenz Halbeisen. "Non-separable Banach spaces with non-meager Hamel basis." Studia Mathematica 189, no. 1 (2008): 27–34. http://dx.doi.org/10.4064/sm189-1-3.

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24

Matei, Basarab, Sylvain Meignen, and Anastasia Zakharova. "Smoothness of non-linear and non-separable subdivision schemes." Asymptotic Analysis 74, no. 3-4 (2011): 229–47. http://dx.doi.org/10.3233/asy-2011-1052.

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25

Stoetzer, Lukas F., and Steffen Zittlau. "Multidimensional Spatial Voting with Non-separable Preferences." Political Analysis 23, no. 3 (2015): 415–28. http://dx.doi.org/10.1093/pan/mpv013.

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In most multidimensional spatial models, the systematic component of agent utility functions is specified as additive separable. We argue that this assumption is too restrictive, at least in the context of spatial voting in mass elections. Here, assuming separability would stipulate that voters do not care about how policy platforms combine positions on multiple policy dimensions. We present a statistical implementation of Davis, Hinich, and Ordeshook's (1970) Weighted Euclidean Distance model that allows for the estimation of the direction and magnitude of non-separability from vote choice data. We demonstrate in a Monte-Carlo experiment that conventional separable model specifications yield biased and/or unreliable estimates of the effect of policy distances on vote choice probabilities in the presence of non-separable preferences. In three empirical applications, we find voter preferences on economic and socio-cultural issues to be non-separable. If non-separability is unaccounted for, researchers run the risk of missing crucial parts of the story. The implications of our findings carry over to other fields of research: checking for non-separability is an essential part of robustness testing in empirical applications of multidimensional spatial models.

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26

Do, Dae-Won, Woo-Sik Kim, Dong-Hun Lee, Hyung-Moon Kim, and Sang-Moon Choi. "An Efficient Separable Weighting Method for Sonar Systems with Non-Separable Planar Arrays." Journal of the Institute of Electronics Engineers of Korea 50, no. 5 (2013): 208–17. http://dx.doi.org/10.5573/ieek.2013.50.5.208.

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27

Mrówczyńska, Maria. "The SVM Method As An Instrument For The Classification Of Vertical Displacements." Reports on Geodesy and Geoinformatics 98, no. 1 (2015): 18–27. http://dx.doi.org/10.2478/rgg-2015-0002.

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AbstractThe article presents the basic rules for constructing and training neural networks called the Support Vector Machine method as well as possible applications for this kind of network. SVM networks are mainly used for solving tasks of classifying linearly and non-linearly separable data and regression. However, in recent years more applications have been found for them. The networks also solve such problems as the recognition of signals and images as well as speech identification.In this paper, non-linear SVM networks have been used for classifying linearly separable and non-separable data with a view to formulating a model of displacements of points in a measurement-control network. The points of the measurement-control network were placed on a civil engineering object located on expansive soil (linearly separable data) and represented a mining exploitation area (linearly non-separable data). The task of training SVM networks requires the use of quadratic programming in search of an optimum point of the Lagrangian function in relation to the parameters being optimised. In the case of linearly non-separable data, the SVM method makes it possible to find a hyperplane which classifies objects as correctly as possible, and at the same time is located possibly far away from concentrations typical of each class.

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28

Zhang, Xuan, Jun Chen, Jia-jie Li, et al. "Generation of polarization and coherence non-separable states in twisted partially coherent vector light." Journal of the Optical Society of America A 41, no. 10 (2024): 1856. http://dx.doi.org/10.1364/josaa.534325.

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Non-separable optical beams have garnered significant attention due to their ability to mimic quantum entanglement in classical optics, unlocking interesting applications. However, a key limitation has been their confinement to fully coherent light beams. In this work, we introduce a new, to the best of our knowledge, concept called the non-separable partially coherent vector (NSPCV) beam, which exhibits unique non-separable correlation between polarization and partially coherent spatial modes, a correlation marked by the presence of the twist phase in the coherence degree of freedom. We investigated their transmission properties using polystyrene bead suspensions. Results show NSPCV beams exhibit superior stability compared to Gaussian beams. This work not only broadens the scope of non-separable optical beams but also promises higher robustness in strongly scattering media.

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29

Robertson, W. J. "On properly separable quotients of strict (LF) Spaces." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 47, no. 2 (1989): 307–12. http://dx.doi.org/10.1017/s1446788700031736.

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AbstractAll known Banach spaces have an infinite-dimensional separable quotient and so do all nonnormable Fréchet spaces, although the general question for Banach spaces is still open. A properly separable topological vector space is defined, in such a way that separable and properly separable are equivalent for an infinite-dimensional complete metrisable space. The main result of this paper is that the strict inductive limit of a sequence of non-normable Fréchet spaces has a properly separable quotient.

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30

Adda, Jérôme, and Raouf Boucekkine. "Liquidity constraints and time non-separable preferences." Recherches économiques de Louvain 62, no. 3-4 (1996): 377–402. http://dx.doi.org/10.1017/s0770451800044456.

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SummaryWe present an intertemporal model of consumption and savings incorporating liquidity constraints and non separable preferences. We solve the problem numerically and characterize the optimal consumption behavior. We explore the traditional puzzles highlighted in the empirical literature as excess smoothness of consumption, its excess sensitivity to current income and its excess persistence. We show that a model with durability and liquidity constraints is able to reproduce some of the stylized facts. Next we show that some of the econometric tests are not robust and can mistake liquidity constraints for habit formation. Hence previous results establishing habit formation on US data should be interpreted with caution.

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31

Francica, Gianluca. "Information exchange in causally non-separable processes." Physics Letters A 422 (January 2022): 127815. http://dx.doi.org/10.1016/j.physleta.2021.127815.

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32

Hernández-Gutiérrez, Rodrigo, and Paul J. Szeptycki. "Wijsman hyperspaces of non-separable metric spaces." Fundamenta Mathematicae 228, no. 1 (2015): 63–79. http://dx.doi.org/10.4064/fm228-1-5.

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33

Brown, Patrick E., Gareth O. Roberts, Kjetil F. Karesen, and Stefano Tonellato. "Blur-generated non-separable space-time models." Journal of the Royal Statistical Society: Series B (Statistical Methodology) 62, no. 4 (2000): 847–60. http://dx.doi.org/10.1111/1467-9868.00269.

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34

Bergman, L. M., and I. N. Fokin. "On separable non-cooperative zero-sum games." Optimization 44, no. 1 (1998): 69–84. http://dx.doi.org/10.1080/02331939808844400.

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35

Dow, Alan, and Klaas Pieter Hart. "A separable non-remainder of $\mathbb {H}$." Proceedings of the American Mathematical Society 136, no. 11 (2008): 4057–63. http://dx.doi.org/10.1090/s0002-9939-08-09357-x.

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36

Troug, Haytem. "Monetary policy with non-separable government spending." Journal of Applied Economics 23, no. 1 (2020): 426–49. http://dx.doi.org/10.1080/15140326.2020.1793281.

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37

Perumangatt, Chithrabhanu, Gangi Reddy Salla, Ali Anwar, A. Aadhi, Shashi Prabhakar, and R. P. Singh. "Scattering of non-separable states of light." Optics Communications 355 (November 2015): 301–5. http://dx.doi.org/10.1016/j.optcom.2015.06.066.

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38

Tan, C. Z. "Non-separable wave particle in space-time." Optik 126, no. 20 (2015): 2640–42. http://dx.doi.org/10.1016/j.ijleo.2015.06.056.

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39

Frolík, Z., and P. Holický. "Analytic and Luzin spaces (non-separable case)." Topology and its Applications 19, no. 2 (1985): 129–56. http://dx.doi.org/10.1016/0166-8641(85)90066-5.

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40

Aràndiga, Francesc, Pep Mulet, and Vicent Renau. "Non-separable two-dimensional weighted ENO interpolation." Applied Numerical Mathematics 62, no. 8 (2012): 975–87. http://dx.doi.org/10.1016/j.apnum.2012.03.005.

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41

Todorcevic, Stevo. "A construction scheme for non-separable structures." Advances in Mathematics 313 (June 2017): 564–89. http://dx.doi.org/10.1016/j.aim.2017.04.015.

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42

Ménard, Sébastien. "Optimal unemployment insurance with non-separable preferences." Economics Letters 93, no. 2 (2006): 267–71. http://dx.doi.org/10.1016/j.econlet.2006.05.012.

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43

Shirron, Joseph J., and Saikat Dey. "Acoustic infinite elements for non-separable geometries." Computer Methods in Applied Mechanics and Engineering 191, no. 37-38 (2002): 4123–39. http://dx.doi.org/10.1016/s0045-7825(02)00355-9.

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44

Yamashita, Atsushi. "Non-separable Hilbert manifolds of continuous mappings." Topology and its Applications 222 (May 2017): 177–99. http://dx.doi.org/10.1016/j.topol.2017.03.005.

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45

Senovilla, José M. M., and Raül Vera. "cosmological models separable in non-comoving coordinates." Classical and Quantum Gravity 15, no. 6 (1998): 1737–58. http://dx.doi.org/10.1088/0264-9381/15/6/022.

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46

Ludvik, P., and J. Spurny. "BAIRE CLASSES OF NON-SEPARABLE L1-PREDUALS." Quarterly Journal of Mathematics 66, no. 1 (2014): 251–63. http://dx.doi.org/10.1093/qmath/hau007.

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47

Kurka, Ondřej. "On binormality in non-separable Banach spaces." Journal of Mathematical Analysis and Applications 371, no. 2 (2010): 425–35. http://dx.doi.org/10.1016/j.jmaa.2010.05.030.

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48

Su, Liangjun, Takuya Ura, and Yichong Zhang. "Non-separable models with high-dimensional data." Journal of Econometrics 212, no. 2 (2019): 646–77. http://dx.doi.org/10.1016/j.jeconom.2019.06.004.

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49

Fonf, V. P., A. J. Pallares, R. J. Smith, and S. Troyanski. "Polyhedral norms on non-separable Banach spaces." Journal of Functional Analysis 255, no. 2 (2008): 449–70. http://dx.doi.org/10.1016/j.jfa.2008.03.001.

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50

Dodos, Pandelis. "Operators whose dual has non-separable range." Journal of Functional Analysis 260, no. 5 (2011): 1285–303. http://dx.doi.org/10.1016/j.jfa.2010.12.004.

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Journal articles on the topic 'Non-separable'

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