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Originally published in 1973, this is the definitive survey of the Ising model, a mathematical model of ferromagnetism in statistical mechanics. This updated edition of the classic text features an extensive section on new developments.

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Dec 15, 2020 · Annealing machines have been developed as non-von Neumann computers aimed at solving combinatorial optimization problems efficiently. To use annealing machines for solving combinatorial optimization problems, we have to represent the objective function and constraints by an Ising model, which is a theoretical model in statistical physics. Further, it is necessary to transform the Ising model ...

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Video created by HSE University for the course "Bayesian Methods for Machine Learning". This week we will move on to approximate inference methods. We will see why we care about approximating distributions and see variational inference — one of ...

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The Ising model, first considered by physicists Wilhelm Lenz and Ernst Ising in 1920 to model magnetic materials, describes a network of interacting spins that can point only in two directions—up or down.

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An Ising model is a special instantiation of an MRF where each random variable Xs take values in {−1,+1}, and the joint probability mass function is given by: Pθ(x1,...,xp) ∝ exp 1≤s<t≤p θstxsxt , (2) where we view θ as the parameter vector of the distribution. Note that θ ∈ Rp×p is such that

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Jan 15, 2020 · Recent advances in deep learning and neural networks have led to an increased interest in the application of generative models in statistical and condensed matter physics. In particular, restricted Boltzmann machines (RBMs) and variational autoencoders (VAEs) as specific classes of neural networks have been successfully applied in the context of physical feature extraction and representation ...

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…percolation processes and on the Ising model. In percolation, a fluid flows through the spaces in a porous solid. If a material is modeled as a lattice where points have a probability for being open and allowing liquid to flow through, there is a critical probability at which a liquid…