Results 11 to 20 of about 14,608,655 (298)
A Higher-Order Ising Model with Gradient-Free Update [PDF]
AxiomsThe Ising model is able to memorize some patterns or solutions as stable states. An Ising network may automatically converge to a pre-stored solution for a random input. However, in many cases, the Ising model cannot perform this task.
Gengsheng L. Zeng
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Dynamical Process of a Bit-Width Reduced Ising Model With Simulated Annealing
IEEE Access, 2023 Ising machines have attracted attention as efficient solvers for combinatorial optimization problems, which are formulated as ground-state (lowest-energy) search problems of the Ising model. Due to the limited bit-width of coefficients on Ising machines,
Shuta Kikuchi, Nozomu Togawa, Shu Tanaka
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Point convolutional neural network algorithm for Ising model ground state research based on spring vibration [PDF]
Scientific ReportsThe ground state search of the Ising model can be used to solve many combinatorial optimization problems. Under the current computer architecture, an Ising ground state search algorithm suitable for hardware computing is necessary for solving practical ...
Zhelong Jiang +10 more
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The Fate of Ernst Ising and the Fate of his Model [PDF]
, 2017 On this, the occasion of the 20th anniversary of the “Ising Lectures” in Lviv (Ukraine), we give some personal reflections about the famous model that was suggested by Wilhelm Lenz for ferromagnetism in 1920 and solved in one dimension by his PhD student,
Folk, R. +4 more
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Particle-based Ising model [PDF]
Physical Review E, 2021 We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other through a Lennard-Jones potential truncated at the nearest ...
Quentin Novinger +4 more
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Calculation of the Free Energy of the Ising Model on a Cayley Tree via the Self-Similarity Method
Axioms, 2022 In this study, an interactive Ising model having the nearest and prolonged next-nearest neighbors defined on a Cayley tree is considered. Inspired by the results obtained for the one-dimensional Ising model, we will construct the partition function and ...
Hasan Akın
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IEEE Transactions on Information Theory, 2018 Appeared SODA 2018.
Constantinos Daskalakis +2 more
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Mathematics, 2021 A method of the Riemann–Hilbert problem is employed for Zhang’s conjecture 2 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in a zero external magnetic field.
Zhidong Zhang, Osamu Suzuki
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Layering in the Ising Model [PDF]
Journal of Statistical Physics, 2010 We consider the three-dimensional Ising model in a half-space with a boundary field (no bulk field). We compute the low-temperature expansion of layering transition lines.
Alexander, K. S. +2 more
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Guiding Principle for Minor-Embedding in Simulated-Annealing-Based Ising Machines
IEEE Access, 2020 We propose a novel type of minor-embedding (ME) in simulated-annealing-based Ising machines. The Ising machines can solve combinatorial optimization problems. Many combinatorial optimization problems are mapped to find the ground (lowest-energy) state of
Tatsuhiko Shirai +2 more
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