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We present a perfect marginal sampler of the unique Gibbs measure of a spin system on $\mathbb Z^2$. The algorithm is an adaptation of a previous `lazy depth-first' approach by the authors, but relaxes the requirement of strong spatial…

数据结构与算法 · 计算机科学 2023-02-16 Konrad Anand , Mark Jerrum

The dynamics of non-equilibrium Ising model with parallel updates is investigated using a generalized mean field approximation that incorporates multiple two-site correlations at any two time steps, which can be obtained recursively. The…

无序系统与神经网络 · 物理学 2015-06-17 Hamed Mahmoudi , David Saad

Various combinatorial optimization NP-hard problems can be reduced to finding the minimizer of an Ising model, which is a discrete mathematical model. It is an intellectual challenge to develop some mathematical tools or algorithms for…

最优化与控制 · 数学 2023-12-01 Bowen Liu , Kaizhi Wang , Dongmei Xiao , Zhan Yu

The race to heuristically solve non-deterministic polynomial-time (NP) problems through efficient methods is ongoing. Recently, optics was demonstrated as a promising tool to find the ground state of a spin-glass Ising Hamiltonian, which…

无序系统与神经网络 · 物理学 2022-03-14 Gianni Jacucci , Louis Delloye , Davide Pierangeli , Mushegh Rafayelyan , Claudio Conti , Sylvain Gigan

Maximum likelihood constraint inference is a powerful technique for identifying unmodeled constraints that affect the behavior of a demonstrator acting under a known objective function. However, it was originally formulated only for…

机器人学 · 计算机科学 2021-09-13 Kaylene C. Stocking , David L. McPherson , Robert P. Matthew , Claire J. Tomlin

In spin-lattice models with order parameter conserved, we generalize the idea of spin diffusion incorporating a variety factors as possible driving forces, including the external field and the temperature. The Kawasaki dynamics in the…

统计力学 · 物理学 2007-05-23 Han Zhu , Jian-Yang Zhu

We study a reversible one-dimensional spin system with Bernoulli(p) stationary distribution, in which a site can flip only if the site to its left is in state +1. Such models have been used as simple exemplars of systems exhibiting slow…

概率论 · 数学 2015-06-26 David Aldous , Persi Diaconis

The use of statistical physics to study problems of social sciences is motivated and its current state of the art briefly reviewed, in particular for the case of discrete choice making. The coupling of two binary choices is studied in some…

物理与社会 · 物理学 2011-04-27 Ana Fernández del Río

We consider the Bayesian analysis of models in which the unknown distribution of the outcomes is specified up to a set of conditional moment restrictions. The nonparametric exponentially tilted empirical likelihood function is constructed…

统计理论 · 数学 2021-10-27 Siddhartha Chib , Minchul Shin , Anna Simoni

The dynamical behaviours of a kinetically constrained spin model (Fredrickson-Andersen model) on a Bethe lattice are investigated by a perturbation analysis that provides exact final states above the nonergodic transition point. It is…

统计力学 · 物理学 2015-05-19 Hiroki Ohta

The thermodynamics of the infinite-range Ising spin glass with p-spin interactions in the presence of an external magnetic field h is investigated analytically using the replica method. We give emphasis to the analysis of the transition…

统计力学 · 物理学 2009-10-31 Viviane M de Oliveira , J F Fontanari

We present an optimal control-based strategy to enhance the estimation of impulse-like disturbances in continuously monitored linear classical and quantum systems by exploiting non-equilibrium states. Using optimal estimation techniques for…

量子物理 · 物理学 2026-05-13 Kaspar Schmerling , Andreas Kugi , Andreas Deutschmann-Olek

Probabilistic model checking for systems with large or unbounded state space is a challenging computational problem in formal modelling and its applications. Numerical algorithms require an explicit representation of the state space, while…

计算机科学中的逻辑 · 计算机科学 2018-06-12 Dimitrios Milios , Guido Sanguinetti , David Schnoerr

Circular time series has received relatively little attention in statistics and modeling complex circular time series using the state space approach is non-existent in the literature. In this article we introduce a flexible Bayesian…

统计方法学 · 统计学 2017-03-16 Satyaki Mazumder , Sourabh Bhattacharya

The problem of sequential probability forecasting is considered in the most general setting: a model set C is given, and it is required to predict as well as possible if any of the measures (environments) in C is chosen to generate the…

机器学习 · 计算机科学 2019-10-25 Daniil Ryabko

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

统计方法学 · 统计学 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

We address dense action forecasting: the problem of predicting future action sequence over long durations based on partial observation. Our key insight is that future action sequences are more accurately modeled with variable, rather than…

计算机视觉与模式识别 · 计算机科学 2022-10-17 Daniel Scarafoni , Irfan Essa , Thomas Ploetz

The optimal instant of observation of astrophysical phenomena for objects that vary on human time-sales is an important problem, as it bears on the cost-effective use of usually scarce observational facilities. In this paper we address this…

太阳与恒星天体物理 · 物理学 2023-02-15 Miguel Videla , Rene A. Mendez , Jorge F. Silva , Marcos E. Orchard

Many problems in quantum information theory can be formulated as optimizations over the sequential outcomes of dynamical systems subject to unpredictable external influences. Such problems include many-body entanglement detection through…

量子物理 · 物理学 2024-06-07 Mirjam Weilenmann , Costantino Budroni , Miguel Navascues

In this article, a general problem of sequential statistical inference for general discrete-time stochastic processes is considered. The problem is to minimize an average sample number given that Bayesian risk due to incorrect decision does…

统计理论 · 数学 2010-10-18 Andrey Novikov