Relevant bibliographies by topics / Ising

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Ising'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2025

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Journal articles on the topic "Ising"

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Pan, Zhenyu, Anshujit Sharma, Jerry Yao-Chieh Hu, Zhuo Liu, Ang Li, Han Liu, Michael Huang, and Tony Geng. "Ising-Traffic: Using Ising Machine Learning to Predict Traffic Congestion under Uncertainty." Proceedings of the AAAI Conference on Artificial Intelligence 37, no. 8 (June 26, 2023): 9354–63. http://dx.doi.org/10.1609/aaai.v37i8.26121.

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This paper addresses the challenges in accurate and real-time traffic congestion prediction under uncertainty by proposing Ising-Traffic, a dual-model Ising-based traffic prediction framework that delivers higher accuracy and lower latency than SOTA solutions. While traditional solutions face the dilemma from the trade-off between algorithm complexity and computational efficiency, our Ising-based method breaks away from the trade-off leveraging the Ising model's strong expressivity and the Ising machine's strong computation power. In particular, Ising-Traffic formulates traffic prediction under uncertainty into two Ising models: Reconstruct-Ising and Predict-Ising. Reconstruct-Ising is mapped onto modern Ising machines and handles uncertainty in traffic accurately with negligible latency and energy consumption, while Predict-Ising is mapped onto traditional processors and predicts future congestion precisely with only at most 1.8% computational demands of existing solutions. Our evaluation shows Ising-Traffic delivers on average 98X speedups and 5% accuracy improvement over SOTA.
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Gębura, Andrzej, Kazimierz Janusiak, and Michał Poradowski. "An Icing Of Aircraft – Reasons, Consequences, Counteraction." Journal of KONBiN 32, no. 1 (December 1, 2014): 57–70. http://dx.doi.org/10.2478/jok-2014-0031.

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Abstract The article presents reasons of an helicopter’s ising as well as an aircraft’s ising. The maion attention is addressed a conteraction of an ising. Autors divide the problem an two groups: an ising of an airframe – mostly lifting surfaces, an ising of engines. According to authors reasons, an extension (first of all) consequences of airframe’s ising considerably differ from seemingly similar events in an engine. The considerable attention is concentrated on a connteraction of consequences of an ising during the flight. The most complicated ising referes to helicopters, considering their particular aerodynamics characteristics. The autors dedicated is greather attention. Results reached during investigations of heating rotor blades in ITWL are presented.
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Chen, Wenhan, Haodi Tang, Yu Wang, Xianwu Hu, Yuming Lin, Tai Min, and Yufeng Xie. "E-Spin: A Stochastic Ising Spin Based on Electrically-Controlled MTJ for Constructing Large-Scale Ising Annealing Systems." Micromachines 14, no. 2 (January 19, 2023): 258. http://dx.doi.org/10.3390/mi14020258.

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With its unique computer paradigm, the Ising annealing machine has become an emerging research direction. The Ising annealing system is highly effective at addressing combinatorial optimization (CO) problems that are difficult for conventional computers to tackle. However, Ising spins, which comprise the Ising system, are difficult to implement in high-performance physical circuits. We propose a novel type of Ising spin based on an electrically-controlled magnetic tunnel junction (MTJ). Electrical operation imparts true randomness, great stability, precise control, compact size, and easy integration to the MTJ-based spin. In addition, simulations demonstrate that the frequency of electrically-controlled stochastic Ising spin (E-spin) is 50 times that of the thermal disturbance MTJ-based spin (p-bit). To develop a large-scale Ising annealing system, up to 64 E-spins are implemented. Our Ising annealing system demonstrates factorization of integers up to 264 with a temporal complexity of around O(n). The proposed E-spin shows superiority in constructing large-scale Ising annealing systems and solving CO problems.
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Horiguchi, Tsuyoshi, Adam Lipowski, and Norihiro Tsushima. "ising model and two-layer Ising model." Physica A: Statistical Mechanics and its Applications 224, no. 3-4 (February 1996): 626–38. http://dx.doi.org/10.1016/0378-4371(95)00304-5.

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Barry, J. H., and M. Khatun. "Exact Solutions for Correlations in the Kagomé Ising Antiferromagnet." International Journal of Modern Physics B 11, no. 01n02 (January 20, 1997): 93–101. http://dx.doi.org/10.1142/s0217979297000113.

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The kagomé Ising antiferromagnet is highly frustrated with its pair correlation decaying exponentially at large distance for all temperatures including absolute zero. Hence, the spin system does not support long-range orderings and is devoid of any phase transition. One proves, via local star-triangle and decoration-decimation transformations, that correlations in the kagomé Ising antiferromagnet at arbitrary temperatures can be represented as linear combinations of correlations in the honeycomb Ising ferromagnet at high temperatures (disordered region). Existent knowledge of all honeycomb Ising correlations upon a select (spatially compact) 10-site cluster is thus sufficient to determine all present kagomé Ising correlations upon an associated 9-site cluster. Examples of resulting exact solutions for pair and multisite correlations in the kagomé Ising antiferromagnet are presented at all temperatures. Applications include joint configuration probabilities, thermodynamic response functions such as the specific heat and the initial perpendicular susceptibility, and the inelastic neutron scattering function.
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Nareddy, Vahini Reddy, Jonathan Machta, Karen C. Abbott, Shadisadat Esmaeili, and Alan Hastings. "Dynamical Ising model of spatially coupled ecological oscillators." Journal of The Royal Society Interface 17, no. 171 (October 2020): 20200571. http://dx.doi.org/10.1098/rsif.2020.0571.

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Long-range synchrony from short-range interactions is a familiar pattern in biological and physical systems, many of which share a common set of ‘universal’ properties at the point of synchronization. Common biological systems of coupled oscillators have been shown to be members of the Ising universality class, meaning that the very simple Ising model replicates certain spatial statistics of these systems at stationarity. This observation is useful because it reveals which aspects of spatial pattern arise independently of the details governing local dynamics, resulting in both deeper understanding of and a simpler baseline model for biological synchrony. However, in many situations a system’s dynamics are of greater interest than their static spatial properties. Here, we ask whether a dynamical Ising model can replicate universal and non-universal features of ecological systems, using noisy coupled metapopulation models with two-cycle dynamics as a case study. The standard Ising model makes unrealistic dynamical predictions, but the Ising model with memory corrects this by using an additional parameter to reflect the tendency for local dynamics to maintain their phase of oscillation. By fitting the two parameters of the Ising model with memory to simulated ecological dynamics, we assess the correspondence between the Ising and ecological models in several of their features (location of the critical boundary in parameter space between synchronous and asynchronous dynamics, probability of local phase changes and ability to predict future dynamics). We find that the Ising model with memory is reasonably good at representing these properties of ecological metapopulations. The correspondence between these models creates the potential for the simple and well-known Ising class of models to become a valuable tool for understanding complex biological systems.
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Angst, Sebastian, Silvio R. Dahmen, Haye Hinrichsen, Alfred Hucht, and Martin P. Magiera. "Explosive Ising." Journal of Statistical Mechanics: Theory and Experiment 2012, no. 06 (June 27, 2012): L06002. http://dx.doi.org/10.1088/1742-5468/2012/06/l06002.

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Nisoli, Cristiano. "Nano-Ising." New Journal of Physics 18, no. 2 (February 24, 2016): 021007. http://dx.doi.org/10.1088/1367-2630/18/2/021007.

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Stajic, Jelena. "Ising Ice." Science 338, no. 6103 (October 4, 2012): 17.2–17. http://dx.doi.org/10.1126/science.338.6103.17-b.

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Huang, Ding-wei. "Ising intermittency." European Physical Journal C 5, no. 3 (1998): 567. http://dx.doi.org/10.1007/s100520050301.

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Dissertations / Theses on the topic "Ising"

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Giokas, Philip. "Aspects of the Ising and tricritical Ising models." Thesis, King's College London (University of London), 2013. https://kclpure.kcl.ac.uk/portal/en/theses/aspects-of-the-ising-and-tricritical-ising-models(8bb2e06f-aef7-45ca-8058-3a3eea92b9e6).html.

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This thesis is concerned with several aspects of the Ising and tri-critical Ising models in two-dimensions. These are much-studied models relevant in both condensed matter physics as descriptions of the critical phenomena of two- dimensional systems and in String theory as building blocks of the string world sheet theory. The first part of the thesis is concerned with the derivation of differential equations for the critical four-point function in the Ising model. We present a method which provides the well-known standard solutions by a new and efficient route. The second part of the thesis is concerned with off-critical behaviour, and in particular the numerical study of perturbations of conformal field theory through the truncated conformal space approach. We show that the coupling constant undergoes significant renormalization in this scheme, and in particular the Ising model can be found as a fixed point for a finite value of the bare coupling constant. The renormalization group equations we find are of general use in the TCSA approach. The final part of the thesis considers off-critical boundary conditions in the tri-critical Ising model. We study them using a variant of the mean-field method and find a qualitative description of the space of boundary conditions that is in accord with the exact conformal field theory description. This is both a test of the method and its applicability in new domains, and also shows that previously published results are in error.
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Li, Chengshu. "Tricritical Ising edge modes in a Majorana-Ising ladder." Thesis, University of British Columbia, 2017. http://hdl.handle.net/2429/62467.

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While Majorana fermions remain at large as fundamental particles, they emerge in condensed matter systems with peculiar properties. Grover et al. proposed a Majorana-Ising chain model, or the GSV model, where the system undergoes a tricritical Ising transition by tuning just one parameter. In this work, we generalize this model to a ladder with inter-chain Majorana couplings. From a mean field analysis, we argue that the tricritical Ising transition will also occur with inter-chain couplings that allow the system to be gapless in the non-interacting case. More crucially, based on analysis of the interacting chain model and the non-interacting ladder model, we expect the tricritical Ising modes to appear on the edges, a feature that might persist when going to 2d. We carry out extensive DMRG calculations to verify the theory in the ladder model. Finally, we discuss possible numerical probes of a 2d model.
Science, Faculty of
Physics and Astronomy, Department of
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Karevski, Dragi. "Ising Quantum Chains." Habilitation à diriger des recherches, Université Henri Poincaré - Nancy I, 2005. http://tel.archives-ouvertes.fr/hal-00113500.

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The aim of this article is to give a pedagogical introduction to the exact equilibrium and nonequilibrium properties of free fermionic quantum spin chains. In a first part we present in full details the canonical diagonalisation procedure and review quickly the equilibrium dynamical properties. The phase diagram is analysed and possible phase transitions are discussed. The two next chapters are concerned with the effect of aperiodicity and quenched disorder on the critical properties of the quantum chain. The remaining part is devoted to the nonequilibrium dynamical behaviour of such quantum chains relaxing from a nonequilibrium pure initial state. In particular, a special attention is made on the relaxation of transverse magnetization. Two-time linear response functions and correlation functions are also considered, giving insights on the nature of the final nonequilibrium stationnary state. The possibility of aging is also discussed.
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Kamenetsky, Dmitry, and dkamen@rsise anu edu au. "Ising Graphical Model." The Australian National University. ANU College of Engineering and Computer Science, 2010. http://thesis.anu.edu.au./public/adt-ANU20100727.221031.

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The Ising model is an important model in statistical physics, with over 10,000 papers published on the topic. This model assumes binary variables and only local pairwise interactions between neighbouring nodes. Inference for the general Ising model is NP-hard; this includes tasks such as calculating the partition function, finding a lowest-energy (ground) state and computing marginal probabilities. Past approaches have proceeded by working with classes of tractable Ising models, such as Ising models defined on a planar graph. For such models, the partition function and ground state can be computed exactly in polynomial time by establishing a correspondence with perfect matchings in a related graph. In this thesis we continue this line of research. In particular we simplify previous inference algorithms for the planar Ising model. The key to our construction is the complementary correspondence between graph cuts of the model graph and perfect matchings of its expanded dual. We show that our exact algorithms are effective and efficient on a number of real-world machine learning problems. We also investigate heuristic methods for approximating ground states of non-planar Ising models. We show that in this setting our approximative algorithms are superior than current state-of-the-art methods.
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Hystad, Grethe. "Periodic Ising Correlations." Diss., The University of Arizona, 2009. http://hdl.handle.net/10150/196130.

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We consider the finite two-dimensional Ising model on a lattice with periodic boundaryconditions. Kaufman determined the spectrum of the transfer matrix on the finite,periodic lattice, and her derivation was a simplification of Onsager's famous result onsolving the two-dimensional Ising model. We derive and rework Kaufman's resultsby applying representation theory, which give us a more direct approach to computethe spectrum of the transfer matrix. We determine formulas for the spin correlationfunction that depend on the matrix elements of the induced rotation associated withthe spin operator. The representation of the spin matrix elements is obtained byconsidering the spin operator as an intertwining map. We wrap the lattice aroundthe cylinder taking the semi-infinite volume limit. We control the scaling limit of themulti-spin Ising correlations on the cylinder as the temperature approaches the criticaltemperature from below in terms of a Bugrij-Lisovyy conjecture for the spin matrixelements on the finite, periodic lattice. Finally, we compute the matrix representationof the spin operator for temperatures below the critical temperature in the infinite-volume limit in the pure state defined by plus boundary conditions.
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Varrassi, Lorenzo. "Il modello di Ising." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/10573/.

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L'elaborato fornisce una introduzione al modello di Ising, utilizzato nello studio delle transizioni di fase tra la fase ferromagnetica e quella paramagnetica dei materiali. Nella prima parte viene trattato il modello unidimensionale, di cui viene esposta la soluzione esatta attraverso l'utilizzo delle matrici di trasferimento, dimostrando quindi l'inesistenza di una transizione di fase a temperature finite non nulle. Vengono calcolate le funzioni termodinamiche e se ne dimostra l'indipendenza dalle condizioni al contorno nel limite termodinamico.Viene proposta infine una spiegazione qualitativa del comportamento microscopico, attraverso la lunghezza di correlazione. Nella seconda parte viene trattato il caso a due dimensioni. Inizialmente viene determinata la temperatura critica per reticoli quadrati, attraverso il riconoscimento della presenza di una relazione di dualita tra l'espansione per alte e per basse temperature della funzione di partizione. Successivamente si fornisce la soluzione esatta attraverso una versione modificata del procedimento, originariamente ideato da L.Onsager, di cui e proposta una traccia della dimostrazione. Viene infine brevemente discussa l'importanza che questo risultato ebbe storicamente nella fisica delle transizioni di fase.
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Malmini, Ranasinghe P. K. C. "Gonihedric 3D Ising models." Thesis, Heriot-Watt University, 1997. http://hdl.handle.net/10399/675.

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Pugh, Mathew. "Ising model and beyond." Thesis, Cardiff University, 2008. http://orca.cf.ac.uk/54791/.

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We study the SU(3) AVE graphs, which appear in the classification of modular in variant partition functions from numerous viewpoints, including determination of their Boltzmann weights, representations of Hecke algebras, a new notion of A2 planar algebras and their modules, various Hilbert series of dimensions and spectral measures, and the K-theory of associated Cuntz-Krieger algebras. We compute the K-theory of the of the Cuntz-Krieger algebras associated to the SU(3) AVE graphs. We compute the numerical values of the Ocneanu cells, and consequently representations of the Hecke algebra, for the AVE graphs. Some such representations have appeared in the literature and we compare our results. We use these cells to define an SU(3) analogue of the Goodman-de la Harpe-Jones construction of a subfactor, where we embed the j42-Temperley-Lieb algebra in an AF path-algebra of the SU(3) AVE graphs. Using this construction, we realize all SU(3) modular invariants by subfactors previously announced by Ocneanu. We give a diagrammatic representation of the i42-Temperley-Lieb algebra, and show that it is isomorphic to Wenzl's representation of a Hecke algebra. Generalizing Jones's notion of a planar algebra, we construct an 42-planar algebra which captures the structure contained in the SU(3) AVE subfactors. We show that the subfactor for an AVE graph with a flat connection has a description as a flat >12-planar algebra. We introduce the notion of modules over an 42-planar algebra, and describe certain irreducible Hilbert A2- Temperley-Lieb-modules. A partial decomposition of the ,42-planar algebras for the AVE graphs is achieved. We compare various Hilbert series of dimensions associated to ADE models for SU(2), and the Hilbert series of certain Calabi-Yau algebras of dimension 3. We also consider spectral measures for the ADE graphs and generalize to SU(3), and in particular obtain spectral measures for the infinite SU(3) graphs.
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Paula, Gilberto Luiz de Souza. "Modelos de Ising dinamico." reponame:Repositório Institucional da UFSC, 1994. http://repositorio.ufsc.br/xmlui/handle/123456789/76170.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciencias Fisicas e Matematicas
Made available in DSpace on 2012-10-16T07:56:41Z (GMT). No. of bitstreams: 0Bitstream added on 2016-01-08T18:59:08Z : No. of bitstreams: 1 96497.pdf: 1094541 bytes, checksum: cb7b6164b0d0951706f97e2c507d68c1 (MD5)
Nesta dissertação estudamos o comportamento dinâmico de dois modelos ferromagnéticos através da equação mestra. No primeiro deles consideramos o modelo de Ising num gradiente de temperatura e determinamos os estados estacionários através das prescrições de Metropolis e Glauber. Mostramos que na ausência de correlações os estados estacionários são diferentes, enquanto que levando-se em conta correlações entre primeiros vizinhos os estados estacionários são os mesmos. No segundo modelo, determinamos o diagrama de fases do modelo de Ising dinâmico em um campo aleatório na situação estacionária. Mostramos que os estados estacionários coincidem com os de equilíbrio para todo o espaço de parâmetros com exceção das vizinhanças das transições de primeira ordem.
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Iberti, Massimo. "Ising-Kac models near criticality." Thesis, University of Warwick, 2018. http://wrap.warwick.ac.uk/109480/.

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The present thesis consists in an investigation around the result shown by H. Weber and J.C. Mourrat in [MW17a], where the authors proved that the fluctuation of an Ising models with Kac interaction under a Glauber-type dynamic on a periodic two-dimensional discrete torus near criticality converge to the solution of the Stochastic Quantization Equation Φ 4/2. In Chapter 2, starting from a conjecture in [SW16], we show the robustness of the method proving the convergence in law of the fluctuation field for a general class of ferromagnetic spin models with Kac interaction undergoing a Glauber dynamic near critical temperature. We show that the limiting law solves an SPDE that depends heavily on the state space of the spin system and, as a consequence of our method, we construct a spin system whose dynamical fluctuation field converges to Φ 2n/2. In Chapter 3 we apply an idea by H. Weber and P. Tsatsoulis employed in [TW16], to show tightness for the sequence of magnetization fluctuation fields of the Ising-Kac model on a periodic two-dimensional discrete torus near criticality and characterise the law of the limit as the Φ 4/2 measure on the torus. This result is not an immediate consequence of [MW17a]. In Chapter 4 we study the fluctuations of the magnetization field of the Ising-Kac model under the Kawasaki dynamic at criticality in a one dimensional discrete torus, and we provide some evidence towards the convergence in law to the solution to the Stochastic Cahn-Hilliard equation.
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Books on the topic "Ising"

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Binek, Christian. Ising-type Antiferromagnets. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/b10726.

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Suzuki, Sei, Jun-ichi Inoue, and Bikas K. Chakrabarti. Quantum Ising Phases and Transitions in Transverse Ising Models. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33039-1.

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Suzuki, Sei. Quantum Ising Phases and Transitions in Transverse Ising Models. 2nd ed. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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1968-, Dutta A., and Sen P. 1963-, eds. Quantum ising phases and transitions in transverse ising models. New York: Springer, 1996.

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Kreutzer, Helmut, and Dieter Zerlin. Deutsche Nation: Acta Ising, 1984. München: Bayerischer Schulbuch-Verlag, 1985.

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Kremer, Sebastian. Oberflächendynamik im Q2R-Ising-Modell. Aachen: Verlag Shaker, 1992.

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Berlin, Freie Universität, ed. Modelle mit konkurrierenden Wechselwirkungen, langreichweitige Strukturen von Spin-1-Ising-Systemen [Spin-Ising-Systemen]. [s.l.]: [s.n.], 1987.

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MacFarland, T. Parallel simulation of the Ising model. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1994.

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Kim, Jin Woo. Numerische Vielteilchenanalyse des transversalen Ising Modells. [s.l.]: [s.n.], 1996.

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Xu, Yuanzhe. Inference in ERGMs and Ising Models. [New York, N.Y.?]: [publisher not identified], 2023.

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Book chapters on the topic "Ising"

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Nolting, Wolfgang. "Ising-Modell." In Teubner Studienbücher Physik, 9–56. Wiesbaden: Vieweg+Teubner Verlag, 1986. http://dx.doi.org/10.1007/978-3-322-96699-5_1.

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Nolting, Wolfgang, and Anupuru Ramakanth. "Ising Model." In Quantum Theory of Magnetism, 233–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85416-6_6.

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Stauffer, Dietrich, Friedrich W. Hehl, Nobuyasu Ito, Volker Winkelmann, and John G. Zabolitzky. "Ising Model." In Computer Simulation and Computer Algebra, 79–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-78117-9_9.

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Eynard, Bertrand. "Ising Model." In Counting Surfaces, 365–407. Basel: Springer Basel, 2016. http://dx.doi.org/10.1007/978-3-7643-8797-6_8.

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Binek, Christian. "Introduction." In Ising-type Antiferromagnets, 1–4. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45001-6_1.

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Binek, Christian. "Ising-type Antiferromagnets: Model Systems in Statistical Physics." In Ising-type Antiferromagnets, 5–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45001-6_2.

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Binek, Christian. "Ferromagnetic Thin Films for Perpendicular and Planar Exchange-bias Systems." In Ising-type Antiferromagnets, 41–54. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45001-6_3.

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Binek, Christian. "Exchange Bias in Magnetic Heterosystems." In Ising-type Antiferromagnets, 55–112. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45001-6_4.

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Binek, Christian. "Summary." In Ising-type Antiferromagnets, 113–14. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45001-6_5.

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Binek, Christian. "Index." In Ising-type Antiferromagnets, 115–18. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45001-6_6.

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Conference papers on the topic "Ising"

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Huang, Brice. "Capacity Threshold for the Ising Perceptron." In 2024 IEEE 65th Annual Symposium on Foundations of Computer Science (FOCS), 1126–36. IEEE, 2024. http://dx.doi.org/10.1109/focs61266.2024.00074.

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Liu, Kuikui, Sidhanth Mohanty, Amit Rajaraman, and David X. Wu. "Fast Mixing in Sparse Random Ising Models*." In 2024 IEEE 65th Annual Symposium on Foundations of Computer Science (FOCS), 120–28. IEEE, 2024. http://dx.doi.org/10.1109/focs61266.2024.00018.

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Coen, Stéphane. "Towards an alternating photonic Ising machine based on polarization symmetry breaking." In Nonlinear Photonics, NpM1E.1. Washington, D.C.: Optica Publishing Group, 2024. http://dx.doi.org/10.1364/np.2024.npm1e.1.

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We describe progress towards the realization of a novel photonic Ising machine based on polarization symmetry breaking. A birefringent defect forces the artificial spins to alternate, roundtrip to roundtrip, conferring remarkable robustness to the system.
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Xiao, Xian, Wolfger Peelaers, Yequan Zhao, Yuan Yuan, Thomas Van Vaerenbergh, Geza Kurczveil, Marco Fiorentino, Zheng Zhang, and Raymond G. Beausoleil. "Applications of Tensor Decomposition in Optical Computing." In CLEO: Applications and Technology, ATu3J.1. Washington, D.C.: Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_at.2024.atu3j.1.

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We introduce our recent work in applying tensor compression techniques in optical computing and highlight two applications: the tensorized integrated coherent Ising machine and the tensorized optical multimodal fusion network.
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Gao, Yuan, Luo Qi, Hong-Lin Lin, Guanyu Chen, Wujie Fu, Yuchi Lan, and Aaron Danner. "All-to-All Connected Photonic Ising Machine with Arbitrary Spin Number Based on Mach-Zehnder Interferometers." In CLEO: Applications and Technology, JW2A.166. Washington, D.C.: Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_at.2024.jw2a.166.

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We experimentally realized a photonic Ising machine with arbitrary spin number and all-to-all connection using Mach-Zehnder interferometry and specially designed phase detection region, serving as a general combinatorial optimization problem solver.
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Legrady, George. "The Ising model." In SA '18: SIGGRAPH Asia 2018. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3282805.3282812.

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7

Conti, Claudio, Davide Pierangeli, and Giulia Marcucci. "Spatial ising machines." In Emerging Topics in Artificial Intelligence 2020, edited by Giovanni Volpe, Joana B. Pereira, Daniel Brunner, and Aydogan Ozcan. SPIE, 2020. http://dx.doi.org/10.1117/12.2565966.

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8

Chen, Zihao, Zhenhua Li, Zhaoang Deng, Jie Liu, and Siyuan Yu. "An Optoelectronic Analog Ising Machine Enabling 2048-Spin and Low-Latency Calculations." In Optical Fiber Communication Conference. Washington, D.C.: Optica Publishing Group, 2023. http://dx.doi.org/10.1364/ofc.2023.m2j.2.

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An optoelectronic analog Ising machine is experimentally demonstrated. The SpMV algorithm is applied to accomplish two MAX-CUT tasks mapped into 2048-spin Ising networks, taking only 1.68μs per iteration.
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Takesue, Hiroki, Takahiro Inagaki, Kensuke Inaba, Takuya Ikuta, Yasuhiro Yamada, Yuya Yonezu, and Toshimori Honjo. "Computation with degenerate optical parametric oscillator networks." In Optical Fiber Communication Conference. Washington, D.C.: Optica Publishing Group, 2024. http://dx.doi.org/10.1364/ofc.2024.w1f.2.

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We report the recent progress of a coherent Ising machine, which simulates the Ising model using a network of degenerate optical parametric oscillators (DOPO). We also describe a spiking neural network realized with DOPOs.
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Roques-Carmes, Charles, Mihika Prabhu, Yichen Shen, Nicholas Harris, Li Jing, Jacques Carolan, Ryan Hamerly, et al. "Integrated Nanophotonic Ising Sampler." In CLEO: Science and Innovations. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/cleo_si.2019.sf1n.1.

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Reports on the topic "Ising"

1

Coffrin, Carleton, and Zachary Morrell. Benchmarking Ising Processors. Office of Scientific and Technical Information (OSTI), August 2022. http://dx.doi.org/10.2172/1879358.

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2

Wiener, Timothy. Characterization of the Dilute Ising Antiferromagnet. Office of Scientific and Technical Information (OSTI), September 2000. http://dx.doi.org/10.2172/764680.

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Gupta, R., and P. Tamayo. Critical exponents for the 3D Ising model. Office of Scientific and Technical Information (OSTI), March 1996. http://dx.doi.org/10.2172/251352.

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Bailey, D. H., and J. M. Borwein. Finding General Explicit Formulas for Ising Integral Recursions. Office of Scientific and Technical Information (OSTI), October 2006. http://dx.doi.org/10.2172/983321.

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Ball, Justin R., and James B. Elliott. Simulating the Rayleigh-Taylor instability with the Ising model. Office of Scientific and Technical Information (OSTI), August 2011. http://dx.doi.org/10.2172/1113469.

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Coffrin, Carleton James, Harsha Nagarajan, and Russell Whitford Bent. Ising Processing Units: Potential and Challenges for Discrete Optimization. Office of Scientific and Technical Information (OSTI), July 2017. http://dx.doi.org/10.2172/1369141.

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David P. Belanger. The random-field Ising model at high magnetic concentration. Office of Scientific and Technical Information (OSTI), April 2005. http://dx.doi.org/10.2172/838773.

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Parlett, Beresford, and Wee-Liang Heng. Implementation of Minimal Representations in 2d Ising Model Calculations. Fort Belvoir, VA: Defense Technical Information Center, May 1992. http://dx.doi.org/10.21236/ada256580.

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Parlett, Beresford, and Wee-Liang Heng. The Method of Minimal Representations in 2d Ising Model Calculations. Fort Belvoir, VA: Defense Technical Information Center, May 1992. http://dx.doi.org/10.21236/ada256581.

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10

Kepner, J. Canonical vs. micro-canonical sampling methods in a 2D Ising model. Office of Scientific and Technical Information (OSTI), December 1990. http://dx.doi.org/10.2172/6095623.

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