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It is possible to discuss the propagation of an electronic current through certain layered nanostructures modeling them as a collection of random one-dimensional interfaces, through which a coherent signal can be transmitted or reflected…

统计力学 · 物理学 2009-11-07 Gabriel A. Cwilich

We study the Activated Random Walk model on the one-dimensional ring, in the high density regime. We develop a toppling procedure that gradually builds an environment that can be used to show that activity will be sustained for a long time.…

概率论 · 数学 2026-04-09 Bernardo N. B. de Lima , Leonardo T. Rolla , Célio Terra

Building upon the one-step replica symmetry breaking formalism, duly understood and ramified, we show that the sequence of ordered extreme values of a general class of Euclidean-space logarithmically correlated random energy models…

统计力学 · 物理学 2016-12-20 Xiangyu Cao , Yan V. Fyodorov , Pierre Le Doussal

The aim of this paper is to demonstrate the efficacy of using Contrastive Random Walk as a curiosity method to achieve faster convergence to the optimal policy.Contrastive Random Walk defines the transition matrix of a random walk with the…

机器学习 · 计算机科学 2022-04-26 Zixuan Pan , Zihao Wei , Yidong Huang , Aditya Gupta

A random walk with echoed steps (RWES) is a process $\{\tilde{S}_n\}_{n\geq1}=\{\tilde{X}_1+\cdots+\tilde{X}_n\}_{n\geq1}$ that inserts memory and echo into an ordinary random walk (ORW) with i.i.d. steps, $X_1+\cdots+X_n$. The RWES is…

概率论 · 数学 2025-10-31 Daniela Portillo del Valle

Motivated by queueing applications, we consider a certain class of two-dimensional random walks for which their invariant measure is written as a linear combination of a finite number of product-form terms. In this work, we investigate…

概率论 · 数学 2023-04-18 Ivo J. B. F. Adan , Ioannis Dimitriou

Parameterized artificial neural networks (ANNs) can be very expressive ansatzes for variational algorithms, reaching state-of-the-art energies on many quantum many-body Hamiltonians. Nevertheless, the training of the ANN can be slow and…

量子物理 · 物理学 2025-06-04 Conor Smith , Quinn T. Campbell , Tameem Albash

The efficiency of path sampling simulations can be improved considerably using the approach of path swapping. For this purpose, we have devised a new algorithmic procedure based on the transition interface sampling technique. In the same…

统计力学 · 物理学 2009-11-13 Titus S. van Erp

Parallel tempering Monte Carlo has proven to be an efficient method in optimization and sampling applications. Having an optimized temperature set enhances the efficiency of the algorithm through more-frequent replica visits to the…

计算物理 · 物理学 2019-11-11 Ignacio Rozada , Maliheh Aramon , Jonathan Machta , Helmut G. Katzgraber

A random walk is performed on a disordered landscape composed of $N$ sites randomly and uniformly distributed inside a $d$-dimensional hypercube. The walker hops from one site to another with probability proportional to $\exp [- \beta…

无序系统与神经网络 · 物理学 2010-07-20 Alexandre S. Martinez , Osame Kinouchi , Sebastian Risau-Gusman

We identify a fundamental phenomenon of heterogeneous one dimensional random walks: the escape (traversal) time is maximized when the heterogeneity in transition probabilities forms a pyramid-like potential barrier. This barrier corresponds…

概率论 · 数学 2020-07-29 Asaf Cassel , Shie Mannor , Guy Tennenholtz

We are concerned with retrieving a query person from multiple videos captured by a non-overlapping camera network. Existing methods often rely on purely visual matching or consider temporal constraints but ignore the spatial information of…

计算机视觉与模式识别 · 计算机科学 2023-07-06 Xin Zhang , Xiaohua Xie , Jianhuang Lai , Wei-Shi Zheng

Random walks are gaining much attention from the networks research community. They are the basis of many proposals aimed to solve a variety of network-related problems such as resource location, network construction, nodes sampling, etc.…

无序系统与神经网络 · 物理学 2009-08-06 Luis Rodero-Merino , Antonio Fernandez Anta , Luis Lopez , Vicent Chovi

For a generalized step reinforced random walk, starting from the origin, the first step is taken according to the first element of an innovation sequence. Then in subsequent epochs, it recalls a past epoch with probability proportional to a…

概率论 · 数学 2025-05-12 Aritra Majumdar , Krishanu Maulik

We present here two novel algorithms for simulated tempering simulations, which break detailed balance condition (DBC) but satisfy the skewed detailed balance to ensure invariance of the target distribution. The irreversible methods we…

统计力学 · 物理学 2021-02-03 Fahim Faizi , Pedro J. Buigues , George Deligiannidis , Edina Rosta

Several variants of a stochastic local search process for constructing the synaptic weights of an Ising perceptron are studied. In this process, binary patterns are sequentially presented to the Ising perceptron and are then learned as the…

无序系统与神经网络 · 物理学 2010-08-13 Haiping Huang , Haijun Zhou

We introduce a model of self-repelling random walks where the short-range interaction between two elements of the chain decreases as a power of the difference in proper time. Analytic results on the exponent $\nu$ are obtained. They are in…

高能物理 - 格点 · 物理学 2015-06-25 S. Caracciolo , G. Parisi , A. Pelissetto

A method for exploring unstable structures generated by nonlinear dynamical systems is introduced. It is based on the sampling of initial conditions and parameters by Replica Exchange Monte Carlo (REM), and efficient both for the search of…

统计力学 · 物理学 2009-11-13 Tatsuo Yanagita , Yukito Iba

Calculating transition probabilities between different states of multistable climate tipping systems is computationally challenging in high-dimensional models. Targeted algorithms, such as the Trajectory-Adaptive Multilevel Splitting (TAMS)…

大气与海洋物理 · 物理学 2026-03-24 Lucas Esclapez , Valérian Jacques-Dumas , Reyk Börner , Laurent Soucasse , Henk A. Dijkstra

A novel version of the Continuous-Time Random Walk (CTRW) model with memory is developed. This memory means the dependence between arbitrary number of successive jumps of the process, while waiting times between jumps are considered as…

数据分析、统计与概率 · 物理学 2016-12-16 Tomasz Gubiec , Ryszard Kutner