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The dynamical properties of a quantum system can be profoundly influenced by its environment. Usually, the environment provokes decoherence and its action on the system can often be schematized by adding a noise term in the Hamiltonian.…

量子物理 · 物理学 2015-06-26 S. Pascazio

The effect of a slow noise in non-diagonal matrix element, J(t), that describes the diabatic level coupling, on the probability of the Landau-Zener transition is studied. For slow noise, the correlation time, \tau_c, of J(t) is much longer…

无序系统与神经网络 · 物理学 2017-02-22 Zhu-Xi Luo , M. E. Raikh

When modelling time series, it is common to decompose observed variation into a "signal" process, the process of interest, and "noise", representing nuisance factors that obfuscate the signal. To separate signal from noise, assumptions must…

统计方法学 · 统计学 2020-11-11 Richard Creswell , Ben Lambert , Chon Lok Lei , Martin Robinson , David Gavaghan

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underline noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

机器学习 · 计算机科学 2021-06-17 Eliya Nachmani , Robin San Roman , Lior Wolf

Classical diffusion models typically rely on isotropic Gaussian noise, treating all regions uniformly and overlooking structural information important for high-quality generation. We introduce an edge-preserving diffusion process that…

计算机视觉与模式识别 · 计算机科学 2026-04-17 Jente Vandersanden , Sascha Holl , Xingchang Huang , Gurprit Singh

The activity generated by an ensemble of neurons is affected by various noise sources. It is a well-recognised challenge to understand the effects of noise on the stability of such networks. We demonstrate that the patterns of activity…

偏微分方程分析 · 数学 2022-05-19 Jose A. Carrillo , Helge Holden , Susanne Solem

The notions of noise sensitivity and stability were recently extended for the voter model. In this model, the vertices of a graph have opinions that are updated by uniformly selecting edges. We further extend stability results to different…

概率论 · 数学 2026-01-16 Gideon Amir , Omer Angel , Rangel Baldasso , Daniel de la Riva

The learning with privileged information setting has recently attracted a lot of attention within the machine learning community, as it allows the integration of additional knowledge into the training process of a classifier, even when this…

We consider a system of globally-coupled phase-only oscillators with distributed intrinsic frequencies and evolving in presence of distributed Gaussian, white noise, namely, a Gaussian, white noise whose strength for every oscillator is a…

统计力学 · 物理学 2023-12-20 Alessandro Campa , Shamik Gupta

We demonstrate that nonlocally coupled limit-cycle oscillators subject to spatiotemporally white Gaussian noise can exhibit a noise-induced transition to turbulent states. After illustrating noise-induced turbulent states with numerical…

混沌动力学 · 物理学 2007-05-23 Yoji Kawamura , Hiroya Nakao , Yoshiki Kuramoto

We study the effects of noise cross-correlations on the steady states of driven, nonequilibrium systems, which are described by two stochastically driven dynamical variables, in one dimension. We use a well-known stochastically driven…

统计力学 · 物理学 2023-08-24 Sudip Mukherjee

We study feature selection in high-dimensional regression under two distinct sources of instability: sampling variability and measurement error in the design matrix. Stability Selection addresses the former through sub-sampling and…

统计方法学 · 统计学 2026-05-05 Mahdi Nouraie , Houying Zhu , Samuel Muller

We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods, we analytically derive the stationary distribution of the…

适应与自组织系统 · 物理学 2007-05-23 Hiroya Nakao , Kensuke Arai , Yoji Kawamura

In this paper, we study the phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a group of non-mobile agents form either a fixed connected…

最优化与控制 · 数学 2008-10-21 Jialing Liu , Vikas Yadav , Hullas Sehgal , Joshua M. Olson , Haifeng Liu , Nicola Elia

Consider a waveform channel where the transmitted signal is corrupted by Wiener phase noise and additive white Gaussian noise (AWGN). A discrete-time channel model that takes into account the effect of filtering on the phase noise is…

信息论 · 计算机科学 2013-01-30 Hassan Ghozlan , Gerhard Kramer

We have analyzed the phenomenon of stochastic resonance in a system driven by non Gaussian noises. We have considered both white and colored noises. In the latter case we have obtained a consistent Markovian approximation that enables us to…

统计力学 · 物理学 2007-05-23 M. A. Fuentes , C. Tessone , H. S. Wio , R. Toral

The electron spin relaxation process in n-type GaAs crystals driven by a fluctuating electric field is investigated. Two different sources of fluctuations are considered: (i) a symmetric dichotomous noise and (ii) a Gaussian correlated…

介观与纳米尺度物理 · 物理学 2013-12-18 Stefano Spezia , Dominique Persano Adorno , Nicola Pizzolato , Bernardo Spagnolo

We study a stochastic predator-prey model on a square lattice, where each of the six species has two superior and two inferior partners. The invasion probabilities between species depend on the predator-prey pair and are supplemented by…

种群与进化 · 定量生物学 2007-08-25 Matjaz Perc , Attila Szolnoki

Noise in the expression of a gene produces fluctuations in the concentration of the gene product. These fluctuations can interfere with optimal function or can be exploited to generate beneficial diversity between cells; gene expression…

分子网络 · 定量生物学 2015-05-13 Namiko Mitarai , Ian B. Dodd , Michael T. Crooks , Kim Sneppen

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

机器学习 · 计算机科学 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai
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