Academic literature on the topic 'Lattice networks'

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Journal articles on the topic "Lattice networks"

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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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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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Chen, Yu, Jinguo You, Benyuan Zou, Guoyu Gan, Ting Zhang, and Lianyin Jia. "Exploring Structural Characteristics of Lattices in Real World." Complexity 2020 (January 21, 2020): 1–11. http://dx.doi.org/10.1155/2020/1250106.

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There are two important models for data analysis and knowledge system: data cube lattices and concept lattices. They both essentially have lattice structures, which are actually irregular in our real world. However, their structural characteristics and relationship are not yet clear. To the best of our knowledge, no work has paid enough attention to this challenging issue from the perspective of graph data, in spite of the importance of structures in lattice data. In this paper, we first tackle the structural statistics of lattice data from three aspects: the degree distribution, clustering co
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Owaidat, M. Q., J. H. Asad, and J. M. Khalifeh. "Resistance calculation of the decorated centered cubic networks: Applications of the Green's function." Modern Physics Letters B 28, no. 32 (2014): 1450252. http://dx.doi.org/10.1142/s0217984914502522.

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The effective resistance between any pair of vertices (sites) on the three-dimensional decorated centered cubic lattices is determined by using lattice Green's function method. Numerical results are presented for infinite decorated centered cubic networks. A mapping between the resistance of the edge-centered cubic lattice and that of the simple cubic lattice is shown.
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Norris, Andrew N. "Mechanics of elastic networks." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2172 (2014): 20140522. http://dx.doi.org/10.1098/rspa.2014.0522.

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We consider a periodic lattice structure in d =2 or 3 dimensions with unit cell comprising Z thin elastic members emanating from a similarly situated central node. A general theoretical approach provides an algebraic formula for the effective elasticity of such frameworks. The method yields the effective cubic elastic constants for three-dimensional space-filling lattices with Z =4, 6, 8, 12 and 14, the last being the ‘stiffest’ lattice proposed by Gurtner & Durand (Gurtner & Durand 2014 Proc. R. Soc. A 470 , 20130611. ( doi:10.1098/rspa.2013.0611 )). The analytical expressions provide
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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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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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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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Harris, Marcus, and Martin Zwick. "Graphical Models in Reconstructability Analysis and Bayesian Networks." Entropy 23, no. 8 (2021): 986. http://dx.doi.org/10.3390/e23080986.

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Reconstructability Analysis (RA) and Bayesian Networks (BN) are both probabilistic graphical modeling methodologies used in machine learning and artificial intelligence. There are RA models that are statistically equivalent to BN models and there are also models unique to RA and models unique to BN. The primary goal of this paper is to unify these two methodologies via a lattice of structures that offers an expanded set of models to represent complex systems more accurately or more simply. The conceptualization of this lattice also offers a framework for additional innovations beyond what is p
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Grabisch, Michel, and Agnieszka Rusinowska. "Lattices in Social Networks with Influence." International Game Theory Review 17, no. 01 (2015): 1540004. http://dx.doi.org/10.1142/s0219198915400046.

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We present an application of lattice theory to the framework of influence in social networks. The contribution of the paper is not to derive new results, but to synthesize our existing results on lattices and influence. We consider a two-action model of influence in a social network in which agents have to make their yes–no decision on a certain issue. Every agent is preliminarily inclined to say either "yes" or "no", but due to influence by others, the agent's decision may be different from his original inclination. We discuss the relation between two central concepts of this model: Influence
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Dissertations / Theses on the topic "Lattice networks"

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Ferdinand, N. S. (Nuwan Suresh). "Low complexity lattice codes for communication networks." Doctoral thesis, Oulun yliopisto, 2016. http://urn.fi/urn:isbn:9789526210964.

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Abstract Lattice codes achieve AWGN capacity and naturally fit in many multi-terminal networks because of their inherited structure. Although extensive information theoretic research has been done to prove the importance of lattice codes for these networks, the progress in finding practical low-complexity lattice schemes is limited. Hence, the motivation of this thesis is to develop several methods to make lattice codes practical for communication networks. First, we propose an efficient lattice coding scheme for real-valued, full-duplex one- and two-way relay channels. Lattice decomposition,
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Datta, Rajesh Kumar. "IMPLEMENTING BOOLEAN FUNCTIONS WITH SWITCHING LATTICE NETWORKS." OpenSIUC, 2021. https://opensiuc.lib.siu.edu/theses/2865.

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Four terminal switching network is an alternative structure to realize the logic functions in electronic circuit modeling. This network can be used to implement a Boolean function with less number of switches than the two terminal-based CMOS switch. Each switch of the network is driven by a Boolean literal. Any switch is connected to its four neighbors if a literal takes the value 1 , else it is disconnected. In our work, we aimed to develop a technique by which we can find out if any Boolean function can be implemented with a given four-terminal network. It is done using the path of any given
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Kang, Peter Kyungchul. "Transport in lattice fracture networks : concentration mean and variance." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/60805.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2010.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 53-55).<br>We study transport in fractured systems using a stochastic particle tracking approach. We represent a fractured system as a two-dimensional lattice network system where the transport velocity in each fracture is a random variable. Our goal is to develop an exact effective macroscopic model for the concentration mean and variance from the microscopic disorder model. Within a Lagrangian transport f
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Kharchenko, Natalia. "Lattice algorithms and lattice-based cryptography." Electronic Thesis or Diss., Sorbonne université, 2020. http://www.theses.fr/2020SORUS337.

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La cryptographie basée sur les réseaux est un domaine de recherche qui étudie la construction d'outils pour une communication sécurisée basée sur des problèmes de réseaux difficiles. La cryptographie basée sur les réseau est l'un des candidats les plus prometteurs pour la communication sécurisée post-quantique. Cette thèse étudie les algorithmes pour résoudre les problèmes de réseaux difficiles et leur application à l'évaluation de la sécurité des constructions cryptographiques. Dans la première partie, nous introduisons une nouvelle famille d'algorithmes de sieving appelé sieving cylindrique.
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Garudapuram, Ghayathri. "Lattice-based media access for energy-efficient wireless sensor networks." Online access for everyone, 2008. http://www.dissertations.wsu.edu/Thesis/Summer2008/G_Garudapuram_061708.pdf.

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Nam, Young-Han. "On Throughput-Reliability-Delay Tradeoffs in Wireless Networks." The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1204680962.

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Kockan, Umit. "Prediction Of Hexagonal Lattice Parameters Of Stoichiometric And Non-stoichiometric Apatites By Artificial Neural Networks." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/12610311/index.pdf.

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Apatite group of minerals have been widely used in applications like detoxification of wastes, disposal of nuclear wastes and energy applications in addition to biomedical applications like bone repair, substitution, and coatings for metal implants due to its resemblance to the mineral part of the bone and teeth. X-ray diffraction patterns of bone are similar to mineral apatites such as hydroxyapatite and fluorapatite. Formation and physicochemical properties of apatites can be understood better by computer modeling. For this reason, lattice parameters of possible apatite compounds (A10(BO4)
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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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Richter, Johannes. "Compute-and-Forward in Multi-User Relay Networks." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-225017.

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In this thesis, we investigate physical-layer network coding in an L × M × K relay network, where L source nodes want to transmit messages to K sink nodes via M relay nodes. We focus on the information processing at the relay nodes and the compute-and-forward framework. Nested lattice codes are used, which have the property that every linear combination of codewords is a valid codeword. This property is essential for physical-layer network coding. Because the actual network coding occurs on the physical layer, the network coding coefficients are determined by the channel realizations. Finding
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Eker, Erdinc. "Lattice Boltzmann Automaton Model To Simulate Fluid Flow In Synthetic Fractures." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/2/12605838/index.pdf.

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Modeling of flow in porous and fractured media is a very important problem in reservoir engineering. As for numerical simulations conventional Navier-Stokes codes are applied to flow in both porous and fractured media. But they have long computation times, poor convergence and problems of numerical instabilities. Therefore, it is desired to develop another computational method that is more efficient and use simple rules to represent the flow in fractured media rather than partial differential equations. In this thesis Lattice Boltzmann Automaton Model will be used to represent the single phase
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Books on the topic "Lattice networks"

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

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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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Kuznetsov, Sergei O., Rokia Missaoui, and Sergei Obiedkov. Formal Concept Analysis of Social Networks. Springer, 2018.

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Kuznetsov, Sergei O., Rokia Missaoui, and Sergei Obiedkov. Formal Concept Analysis of Social Networks. Springer, 2017.

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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: A Structured Coding Approach to Quantization, Modulation, and Multiuser Information Theory. Cambridge University Press, 2014.

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Zamir, Ram, Ilai Bistritz, Yuval Kochman, and Bobak Nazer. Lattice Coding for Signals and Networks: A Structured Coding Approach to Quantization, Modulation, and Multiuser Information Theory. Cambridge University Press, 2014.

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Zamir, Ram. Lattice Coding for Signals and Networks: A Structured Coding Approach to Quantization, Modulation and Multiuser Information Theory. Cambridge University Press, 2014.

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Zamir, Ram. Lattice Coding for Signals and Networks: A Structured Coding Approach to Quantization, Modulation, and Multiuser Information Theory. Cambridge University Press, 2014.

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Introduction to Lattice Algebra: With Applications in AI, Pattern Recognition, Image Analysis, and Biomimetic Neural Networks. CRC Press LLC, 2023.

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Book chapters on the topic "Lattice networks"

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Al-Haj Baddar, Sherenaz W., and Kenneth E. Batcher. "Lattice Theory." In Designing Sorting Networks. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-1851-1_10.

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Ritter, Gerhard X., and Gonzalo Urcid. "Lattice-Based Biomimetic Neural Networks." In Introduction to Lattice Algebra. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003154242-8.

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Ritter, Gerhard X., and Gonzalo Urcid. "Learning in Biomimetic Neural Networks." In Introduction to Lattice Algebra. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003154242-9.

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Pham, Viet-Thanh, Arturo Buscarino, Mattia Frasca, and Luigi Fortuna. "Autowaves in a Lattice of Memristor-Based Cells." In Memristor Networks. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02630-5_29.

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Ritter, Gerhard X., and Gonzalo Urcid. "Lattice Neural Networks with Spike Trains." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13803-4_46.

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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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Nguifo, Engelbert Mephu, Norbert Tsopze, and Gilbert Tindo. "M-CLANN: Multiclass Concept Lattice-Based Artificial Neural Network." In Constructive Neural Networks. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04512-7_6.

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Pham, Viet-Thanh, Arturo Buscarino, Mattia Frasca, and Luigi Fortuna. "Autowaves in a Lattice of Memristor-Based Cells." In Handbook of Memristor Networks. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-76375-0_46.

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Goles, Eric, and Servet Martínez. "Applications on Thermodynamic Limits on the Bethe Lattice." In Neural and Automata Networks. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0529-0_7.

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Graña, Manuel, Maite García-Sebastián, and Carmen Hernández. "Lattice Independent Component Analysis for fMRI Analysis." In Artificial Neural Networks – ICANN 2009. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04277-5_73.

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Conference papers on the topic "Lattice networks"

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Fry, A. T., L. E. Crocker, P. Woolliams, M. Poole, A. Koko, and C. Breheny. "Tensile Property Measurement of AlSi10Mg Lattice Structures - From Single Strut to Lattice Networks." In AM-EPRI 2024. ASM International, 2024. http://dx.doi.org/10.31399/asm.cp.am-epri-2024p0207.

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Abstract At present there is no recognized standard test method that can be used for the measurement of the tensile properties of additively manufactured lattice structures. The aim of this work was to develop and validate a methodology that would enable this material property to be measured for these geometrically and microstructurally complex material structures. A novel test piece has been designed and trialed to enable lattice struts and substructures to be manufactured and tested in standard bench top universal testing machines and in small scale in-situ SEM loading jigs (not reported in
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Oh, Hyunwoo. "Control variates with neural networks." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2025. https://doi.org/10.22323/1.466.0051.

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Chen, Shiyang, Gert Aarts, and Biagio Lucini. "Exploring Generative Networks for Manifolds with Non-Trivial Topology." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2025. https://doi.org/10.22323/1.466.0042.

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Kan, Xuefen, Mengyuan He, Cheng Yin, and Jian Wu. "Ultrasensitive Plasmonics Sensors via Circular Surface Lattice Resonances." In 2024 IEEE 12th International Conference on Information, Communication and Networks (ICICN). IEEE, 2024. https://doi.org/10.1109/icicn62625.2024.10761460.

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Wang, Lingxiao, Takumi Doi, Tetsuo Hatsuda, and Yan Lyu. "Building Hadron Potentials from Lattice QCD with Deep Neural Networks." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2025. https://doi.org/10.22323/1.466.0076.

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Schneider, Manuel, Mari Carmen Bañuls, Krzysztof Cichy, and C. J. David Lin. "Parton Distribution Functions in the Schwinger Model with Tensor Networks." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2024. https://doi.org/10.22323/1.466.0024.

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Gäntgen, Christoph, Thomas Luu, and Marcel Rodekamp. "Exploring Group Convolutional Networks for Sign Problem Mitigation via Contour Deformation." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2025. https://doi.org/10.22323/1.466.0074.

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Barrenechea, Guillermo, Baltasar Beferull-Lozano, and Martin Vetterli. "Lattice sensor networks." In the third international symposium. ACM Press, 2004. http://dx.doi.org/10.1145/984622.984650.

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Chen, Jiangce, Martha Baldwin, Sneha Narra, and Christopher McComb. "Multi-Lattice Topology Optimization With Lattice Representation Learned by Generative Models." In ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/detc2024-145592.

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Abstract Additive manufacturing (AM) technologies are often capable of fabricating geometries that are more complex than traditional manufacturing methods. A notable innovation enabled by AM is the fabrication of multi-lattice structures, an advanced design concept featuring an array of heterogeneous lattices in the mesoscale that are arranged to achieve a diverse distribution of material properties at the macroscale. Compared to uniform lattice structures, multi-lattice structures permit greater design freedom and a larger design space, which makes it possible to achieve superior structure pe
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Jafarian, Amin, and Sriram Vishwanath. "Gaussian interference networks: Lattice alignment." In 2010 IEEE Information Theory Workshop on Information Theory (ITW). IEEE, 2010. http://dx.doi.org/10.1109/itwksps.2010.5503139.

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Reports on the topic "Lattice networks"

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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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