Academic literature on the topic 'Network Lattice'

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Journal articles on the topic "Network Lattice"

1

KAMEI, HIROKO. "CONSTRUCTION OF LATTICES OF BALANCED EQUIVALENCE RELATIONS FOR REGULAR HOMOGENEOUS NETWORKS USING LATTICE GENERATORS AND LATTICE INDICES." International Journal of Bifurcation and Chaos 19, no. 11 (2009): 3691–705. http://dx.doi.org/10.1142/s0218127409025067.

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Regular homogeneous networks are a class of coupled cell network, which comprises one type of cell (node) with one type of coupling (arrow), and each cell has the same number of input arrows (called the valency of the network). In coupled cell networks, robust synchrony (a flow-invariant polydiagonal) corresponds to a special kind of partition of cells, called a balanced equivalence relation. Balanced equivalence relations are determined solely by the network structure. It is well known that the set of balanced equivalence relations on a given finite network forms a complete lattice. In this p
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KENDZIORRA, ANDREAS, and STEFAN E. SCHMIDT. "NETWORK CODING WITH MODULAR LATTICES." Journal of Algebra and Its Applications 10, no. 06 (2011): 1319–42. http://dx.doi.org/10.1142/s0219498811005208.

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Kötter and Kschischang presented in 2008 a new model for error correcting codes in network coding. The alphabet in this model is the subspace lattice of a given vector space, a code is a subset of this lattice and the used metric on this alphabet is the map d : (U, V) ↦ dim (U+V)- dim (U∩V). In this paper we generalize this model to arbitrary modular lattices, i.e. we consider codes, which are subsets of modular lattices. The used metric in this general case is the map d : (u, v) ↦ h(u ∨ v) - h(u ∧ v), where h is the height function of the lattice. We apply this model to submodule lattices. Mo
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Joewondo, Nerine, Valeria Garbin, and Ronny Pini. "Nonuniform Collective Dissolution of Bubbles in Regular Pore Networks." Transport in Porous Media 141, no. 3 (2022): 649–66. http://dx.doi.org/10.1007/s11242-021-01740-w.

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AbstractUnderstanding the evolution of solute concentration gradients underpins the prediction of porous media processes limited by mass transfer. Here, we present the development of a mathematical model that describes the dissolution of spherical bubbles in two-dimensional regular pore networks. The model is solved numerically for lattices with up to 169 bubbles by evaluating the role of pore network connectivity, vacant lattice sites and the initial bubble size distribution. In dense lattices, diffusive shielding prolongs the average dissolution time of the lattice, and the strength of the p
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Ostoja-Starzewski, Martin. "Lattice models in micromechanics." Applied Mechanics Reviews 55, no. 1 (2002): 35–60. http://dx.doi.org/10.1115/1.1432990.

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This review presents the potential that lattice (or spring network) models hold for micromechanics applications. The models have their origin in the atomistic representations of matter on one hand, and in the truss-type systems in engineering on the other. The paper evolves by first giving a rather detailed presentation of one-dimensional and planar lattice models for classical continua. This is followed by a section on applications in mechanics of composites and key computational aspects. We then return to planar lattice models made of beams, which are a discrete counterpart of non-classical
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Favoni, Matteo, Andreas Ipp, and David I. Müller. "Applications of Lattice Gauge Equivariant Neural Networks." EPJ Web of Conferences 274 (2022): 09001. http://dx.doi.org/10.1051/epjconf/202227409001.

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The introduction of relevant physical information into neural network architectures has become a widely used and successful strategy for improving their performance. In lattice gauge theories, such information can be identified with gauge symmetries, which are incorporated into the network layers of our recently proposed Lattice Gauge Equivariant Convolutional Neural Networks (L-CNNs). L-CNNs can generalize better to differently sized lattices than traditional neural networks and are by construction equivariant under lattice gauge transformations. In these proceedings, we present our progress
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KAMEI, HIROKO. "THE EXISTENCE AND CLASSIFICATION OF SYNCHRONY-BREAKING BIFURCATIONS IN REGULAR HOMOGENEOUS NETWORKS USING LATTICE STRUCTURES." International Journal of Bifurcation and Chaos 19, no. 11 (2009): 3707–32. http://dx.doi.org/10.1142/s0218127409025079.

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For regular homogeneous networks with simple eigenvalues (real or complex), all possible explicit forms of lattices of balanced equivalence relations can be constructed by introducing lattice generators and lattice indices [Kamei, 2009]. Balanced equivalence relations in the lattice correspond to clusters of partially synchronized cells in a network. In this paper, we restrict attention to regular homogeneous networks with simple real eigenvalues, and one-dimensional internal dynamics for each cell. We first show that lattice elements with nonzero indices indicate the existence of codimension-
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Stewart, Ian. "Exotic Patterns of Synchrony in Planar Lattice Networks." International Journal of Bifurcation and Chaos 29, no. 02 (2019): 1930003. http://dx.doi.org/10.1142/s0218127419300039.

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Patterns of dynamical synchrony that can occur robustly in networks of coupled dynamical systems are associated with balanced colorings of the nodes of the network. In symmetric networks, the orbits of any group of symmetries automatically determine a balanced orbit coloring. Balanced colorings not of this kind are said to be exotic. Exotic colorings occur in infinite planar lattices, both square and hexagonal, with various short-range couplings. In some cases, a balanced two-coloring remains balanced when colors are swapped along suitable diagonals, giving rise to uncountably many distinct ex
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Dias, Ana Paula S., and Eliana Manuel Pinho. "Enumerating periodic patterns of synchrony via finite bidirectional networks." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2115 (2009): 891–910. http://dx.doi.org/10.1098/rspa.2009.0404.

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Periodic patterns of synchrony are lattice networks whose cells are coloured according to a local rule, or balanced colouring, and such that the overall system has spatial periodicity. These patterns depict the finite-dimensional flow-invariant subspaces for all the lattice dynamical systems, in the given lattice network, that exhibit those periods. Previous results relate the existence of periodic patterns of synchrony, in n -dimensional Euclidean lattice networks with nearest neighbour coupling architecture, with that of finite coupled cell networks that follow the same colouring rule and ha
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Akιn, H. "Phase diagrams of lattice models on Cayley tree and chandelier network: a review." Condensed Matter Physics 25, no. 3 (2022): 32501. http://dx.doi.org/10.5488/cmp.25.32501.

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The main purpose of this review paper is to give systematically all the known results on phase diagrams corresponding to lattice models (Ising and Potts) on Cayley tree (or Bethe lattice) and chandelier networks. A detailed survey of various modelling applications of lattice models is reported. By using Vannimenus's approach, the recursive equations of Ising and Potts models associated to a given Hamiltonian on the Cayley tree are presented and analyzed. The corresponding phase diagrams with programming codes in different programming languages are plotted. To detect the phase transitions in th
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van Montfort, Yves, Sébastian de Bone, and David Elkouss. "Fault-tolerant structures for measurement-based quantum computation on a network." Quantum 9 (May 5, 2025): 1723. https://doi.org/10.22331/q-2025-05-05-1723.

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In this work, we introduce a method to construct fault-tolerant measurement-based quantum computation (MBQC) architectures and numerically estimate their performance over various types of networks. A possible application of such a paradigm is distributed quantum computation, where separate computing nodes work together on a fault-tolerant computation through entanglement. We gauge error thresholds of the architectures with an efficient stabilizer simulator to investigate the resilience against both circuit-level and network noise. We show that, for both monolithic (i.e., non-distributed) and d
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Dissertations / Theses on the topic "Network Lattice"

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Liu, William. "Physical layer network coding using lattice codes." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/49432.

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In this thesis, using lattice codes and channel codes, we propose several solutions to improve the performance of physical-layer network coding (PNC) schemes over the two-way relay network as well as the multi-way relay network. In the first part of our work, we propose an efficient equation-coefficient search algorithm for compute-and-forward over complex-valued channels, which guarantees to find the optimal coefficients over the ring of Gaussian integers as well as the ring of Eisenstein integers. We also propose an optimal coefficient search algorithm for the Integer-Forcing compute-and-for
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Huang, Qinhui. "Lattice network coding in distributed massive MIMO systems." Thesis, University of York, 2017. http://etheses.whiterose.ac.uk/18826/.

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In this thesis, the uplink of distributed massive MIMO where a large number of distributed access point antennas simultaneously serve a relatively smaller number of users is considered. Lattice network coding (LNC), which comprises compute and forward (C&F) and integer forcing (IF), is employed to avoid the potentially enormous backhaul load. Firstly, novel algorithms for coefficient selection in C&F are proposed. For the first time, we propose a low polynomial complexity algorithm to find the optimal solution for the complex valued case. Then we propose a sub-optimal simple linear search algo
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Milsted, Ashley [Verfasser]. "Tensor network methods for quantum lattice systems / Ashley Milsted." Hannover : Technische Informationsbibliothek (TIB), 2016. http://d-nb.info/1097229254/34.

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Wiklund, Hanna. "Lattice Boltzmann simulations of two-phased flow in fibre network systems." Doctoral thesis, Mittuniversitetet, Institutionen för tillämpad naturvetenskap och design, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-16475.

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Two-phase flow in microfluidic systems is of great interest for many scientificand engineering problems. Especially in the pulp and paper area, the problems spanfrom fibre-fibre interactions in the consolidation process of papermaking to edgewickingin paper board during the aseptic treatment of liquid packaging.The objective of this thesis is to gain a fundamental understanding of the microfluidicmechanisms that play a significant role in various problems of two-phaseflow in fibre networks. To achieve this objective a new method for the treatment ofwetting boundary conditions in the lattice Bo
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Mori, Yuto. "Path optimization with neural network for sign problem in quantum field theories." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263466.

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GILARDI, ANDREA. "Statistical Models and Data Structures for Spatial Data on Road Networks." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2021. http://hdl.handle.net/10281/314016.

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Negli ultimi anni è nato un interesse sempre crescente verso l’analisi statistica di dati spaziali aventi supporto di network. Gli esempi più classici di questa tipologia di eventi sono, ad esempio, gli incidenti stradali, i furti di auto, i crimini, e gli interventi delle ambulanze, mentre le linee che compongono la network rappresentano tipicamente le strade, i fiumi, i binari della ferrovia, oppure le terminazioni nervose. L’analisi di questi fenomeni è interessante sotto diversi punti di vista. Innanzitutto, i modelli statistici presentano diverse problematiche legate al supporto spaziale
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Fuhry, David P. "PLASMA-HD: Probing the LAttice Structure and MAkeup of High-dimensional Data." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1440431146.

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Puig, Montellà Eduard. "Modeling capillarity and two-phase flow in granular media : from pore-scale to network scale." Thesis, Université Grenoble Alpes (ComUE), 2019. http://www.theses.fr/2019GREAI046/document.

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Les simulations numériques à l'échelle du pore sont fréquemment utilisées pour étudier le comportement des écoulements multiphasiques largement rencontrées dans phénomènes naturels et applications industrielles. Dans ce travail, la morphologie de structures liquides et l'action capillaire sont examinées à l'échelle des pores par la méthode de Boltzmann sur réseau (LBM) à plusieurs composants selon le modèle de Shan-Chen. Les résultats numériques obtenus sont en bon accord avec les solutions théoriques. Les simulations numériques sont étendues à microstructures complexes au-delà du régime pendu
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Charles, Noah S. "Multifractal Methods for Anderson Transitions." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1595519105865006.

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Wang, Zhicun. "Time-Domain Simulations of Aerodynamic Forces on Three-Dimensional Configurations, Unstable Aeroelastic Responses, and Control by Neural Network Systems." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/11181.

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The nonlinear interactions between aerodynamic forces and wing structures are numerically investigated as integrated dynamic systems, including structural models, aerodynamics, and control systems, in the time domain. An elastic beam model coupled with rigid-body rotation is developed for the wing structure, and the natural frequencies and mode shapes are found by the finite-element method. A general unsteady vortex-lattice method is used to provide aerodynamic forces. This method is verified by comparing the numerical solutions with the experimental results for several cases; and thereafter a
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Books on the topic "Network Lattice"

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Lin, Shu. Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Springer US, 1998.

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Blue Lattice Network: Omnibus. Silverflower Press, 2024.

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Blue Lattice Network and Other Stories. Lulu Press, Inc., 2017.

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Blue Lattice Network: A Collection of Short Stories and Novellas. Xlibris Corporation LLC, 2024.

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Blue Lattice Network: A Collection of Short Stories and Novellas. Xlibris Corporation LLC, 2024.

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Blue Lattice Network : A Collection of Short Stories and Novellas: Expanded Edition. Silverflower Press, 2023.

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Vernizzi, Graziano, and Henri Orland. Complex networks. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.43.

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This article deals with complex networks, and in particular small world and scale free networks. Various networks exhibit the small world phenomenon, including social networks and gene expression networks. The local ordering property of small world networks is typically associated with regular networks such as a 2D square lattice. The small world phenomenon can be observed in most scale free networks, but few small world networks are scale free. The article first provides a brief background on small world networks and two models of scale free graphs before describing the replica method and how
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Zamir, Ram, Ilai Bistritz, Yuval Kochman, and Bobak Nazer. Lattice Coding for Signals and Networks. Cambridge University Press, 2014.

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Collet, Bernard, Andrzej Nowakowski, Thomas Michelitsch, Alejandro Perez Riascos, and Franck Nicolleau. Fractional Dynamics on Networks and Lattices. Wiley & Sons, Incorporated, John, 2019.

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Collet, Bernard, Andrzej Nowakowski, Thomas Michelitsch, Alejandro Perez Riascos, and Franck Nicolleau. Fractional Dynamics on Networks and Lattices. Wiley & Sons, Incorporated, John, 2019.

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Book chapters on the topic "Network Lattice"

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Lin, Zihuai. "Lattice Network Coding for Multi-Way Relaying Systems." In Design of Network Coding Schemes in Wireless Networks. CRC Press, 2022. http://dx.doi.org/10.1201/9781003203803-4.

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Plantard, Thomas, and Willy Susilo. "Broadcast Attacks against Lattice-Based Cryptosystems." In Applied Cryptography and Network Security. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01957-9_28.

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Wang, Yi, Yu-Chih Huang, Alister G. Burr, and Krishna R. Narayanan. "Multilevel Lattices for Compute-and-Forward and Lattice Network Coding." In Number Theory Meets Wireless Communications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61303-7_6.

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Wang, Yi, Yu-Chih Huang, Alister G. Burr, and Krishna R. Narayanan. "Multilevel Lattices for Compute-and-Forward and Lattice Network Coding." In Number Theory Meets Wireless Communications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-61303-7_6.

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Ran, Shi-Ju, Emanuele Tirrito, Cheng Peng, et al. "Tensor Network Approaches for Higher-Dimensional Quantum Lattice Models." In Tensor Network Contractions. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34489-4_4.

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Liu, Jinhui, and Yong Yu. "Lattice Based Verifiably Encrypted Double Authentication Preventing Signatures." In Network and System Security. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-36938-5_36.

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Zhang, Leyou, and Qing Wu. "Adaptively Secure Hierarchical Identity-Based Encryption over Lattice." In Network and System Security. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64701-2_4.

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Alkim, Erdem, Paulo S. L. M. Barreto, Nina Bindel, Juliane Krämer, Patrick Longa, and Jefferson E. Ricardini. "The Lattice-Based Digital Signature Scheme qTESLA." In Applied Cryptography and Network Security. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-57808-4_22.

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Tao, Yang, Rui Zhang, and Yunfeng Ji. "Forward Security of Fiat-Shamir Lattice Signatures." In Applied Cryptography and Network Security. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-33488-7_23.

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Jin, Zhengzhong, and Yunlei Zhao. "Generic and Practical Key Establishment from Lattice." In Applied Cryptography and Network Security. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-21568-2_15.

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Conference papers on the topic "Network Lattice"

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Riess, Hans, Gregory Henselman-Petrusek, Michael C. Munger, Robert Ghrist, Zachary I. Bell, and Michael M. Zavlanos. "Network Preference Dynamics Using Lattice Theory." In 2024 American Control Conference (ACC). IEEE, 2024. http://dx.doi.org/10.23919/acc60939.2024.10645007.

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Sugimoto, Yuto, and Shoichi Sasaki. "Applying the Triad network representation to four-dimensional ATRG method." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2025. https://doi.org/10.22323/1.466.0038.

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Jin, Xiao-yong. "Neural Network Gauge Field Transformation for 4D SU(3) gauge fields." In The 40th International Symposium on Lattice Field Theory. Sissa Medialab, 2024. http://dx.doi.org/10.22323/1.453.0040.

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Mathew, Emil, Navya Gupta, Saurabh V. Kadam, et al. "Tensor-network toolbox for probing dynamics of non-Abelian gauge theories." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2025. https://doi.org/10.22323/1.466.0472.

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Kang, Jianing, and Fengtong Wen. "A Linkable Ring Signature Scheme on Lattice from DualRing." In 2024 6th International Conference on Electronics and Communication, Network and Computer Technology (ECNCT). IEEE, 2024. http://dx.doi.org/10.1109/ecnct63103.2024.10704287.

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Mahdi, Mohammed Abir, Shafi Al Salman Romeo, Eduardo Barocio, and Wei Zhao. "Convolutional Neural Network and Homogenization Based Hybrid Approach for Lattice Structures." In 52nd IAF Student Conference, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078379-0024.

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Shum, Kenneth W., and Qifu Tyler Sun. "Lattice network codes over optimal lattices in low dimensions." In 2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA). IEEE, 2015. http://dx.doi.org/10.1109/iwsda.2015.7458384.

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Sadeghi, Mohammad-Reza, Farzane Amirzade, Daniel Panario, and Amin Sakzad. "A Neural Network Lattice Decoding Algorithm." In 2018 IEEE Information Theory Workshop (ITW). IEEE, 2018. http://dx.doi.org/10.1109/itw.2018.8613440.

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Feng, Chen, Danilo Silva, and Frank R. Kschischang. "Lattice network coding over finite rings." In 2011 12th Canadian Workshop on Information Theory (CWIT). IEEE, 2011. http://dx.doi.org/10.1109/cwit.2011.5872128.

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Feng, Chen, Danilo Silva, and Frank R. Kschischang. "Lattice network coding via signal codes." In 2011 IEEE International Symposium on Information Theory - ISIT. IEEE, 2011. http://dx.doi.org/10.1109/isit.2011.6034049.

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Reports on the topic "Network Lattice"

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Hestir, K., and J. Long. Analytical expressions for the permeability of random two-dimensional Poisson fracture networks based on regular lattice percolation and equivalent media theories. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/5923972.

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DEEP LEARNING DAMAGE IDENTIFICATION METHOD FOR STEEL- FRAME BRACING STRUCTURES USING TIME–FREQUENCY ANALYSIS AND CONVOLUTIONAL NEURAL NETWORKS. The Hong Kong Institute of Steel Construction, 2023. http://dx.doi.org/10.18057/ijasc.2023.19.4.8.

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Lattice bracing, commonly used in steel construction systems, is vulnerable to damage and failure when subjected to horizontal seismic pressure. To identify damage, manual examination is the conventional method applied. However, this approach is time-consuming and typically unable to detect damage in its early stage. Determining the exact location of damage has been problematic for researchers. Nevertheless, detecting the failure of lateral supports in various parts of a structure using time–frequency analysis and deep learning methods, such as convolutional neural networks, is possible. Then,
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