Detecting subtle deviations in Brownian motion representations driven by a Schauder basis [0.03%]
基于Schauder基的布朗运动表示的细微偏差检测
Massimiliano Frezza
Massimiliano Frezza
In this study, we construct surrogate stochastic processes that are challenging to distinguish from ordinary Brownian motion using a method based on the Schauder representation. Specifically, by assuming non-Gaussian (beta and uniform) dist...
Swarnendu Mandal,Swati Chauhan,Umesh Kumar Verma et al.
Swarnendu Mandal et al.
We demonstrate a data-driven technique for adaptive control of dynamical systems that exploits the reservoir computing method. We show that a reservoir computer can be trained to predict a system parameter from the time series. Subsequently...
Explosive adoption of corrupt behaviors in social systems with higher-order interactions [0.03%]
具有高阶交互的社交系统中腐败行为的爆炸式采用
Elisa Bretón-Fuertes,Clara Clemente-Marcuello,Verónica Sanz-Arqué et al.
Elisa Bretón-Fuertes et al.
Human behaviors in social systems are often shaped by group pressure and collective norms, especially since the rise of social media platforms. However, in the context of adopting misbehaviors, most existing contagion models rely on pairwis...
Yutaro Sekiguchi,Rie Sai,André Röhm et al.
Yutaro Sekiguchi et al.
The increasing energy consumption required for information processing has become a significant challenge, leading to growing interest in optical and optoelectronic reservoir computing as a more efficient alternative. Trained reservoir compu...
Low-dimensional Watanabe-Strogatz approach for Kuramoto oscillators with higher-order interactions [0.03%]
具有高阶相互作用的Kuramoto振子的低维Watanabe-Strogatz方法
Jayesh C Jain,Sarika Jalan
Jayesh C Jain
Watanabe-Strogatz theory provides a low-dimensional description of identical Kuramoto oscillators via the framework of the Möbius transformation. Here, using the Watanabe-Strogatz theory, we provide a unifying description for a broad class...
Tailored minimal reservoir computing: On the bidirectional connection between nonlinearities in the model and in data [0.03%]
定制型最小水库计算：模型和数据之间非线性相互作用的双向连接
Davide Prosperino,Haochun Ma,Christoph Räth
Davide Prosperino
We study how the degree of nonlinearity in the input data affects the optimal design of reservoir computers (RCs), focusing on how closely the model's nonlinearity should align with that of the data. By reducing minimal RCs to a single tuna...
Silvio L T de Souza,Antonio M Batista,Iberê L Caldas
Silvio L T de Souza
The memristor, theorized by Leon Chua in 1971, functions as a fundamental electronic component, directly linking electric charge and magnetic flux. As a result of their nonlinear characteristics, memristive circuits generally exhibit chaoti...
Tetsu Endo,Yuzuru Sato,Hiroki Takahasi et al.
Tetsu Endo et al.
We introduce randomness to Pomeau-Manneville (PM) maps by incorporating dichotomous multiplicative noise that alternates between dynamics with an attracting and a repelling fixed point. We characterize the dynamical behavior by measuring th...
Jaesung Choi,Pilwon Kim
Jaesung Choi
Removing noise from a signal without knowing the characteristics of the noise is a challenging task. This paper introduces a signal-noise separation method based on time-series prediction. We use Reservoir Computing (RC) to extract the maxi...
Extreme waves generated by the interaction of stationary and oscillatory dissipative solitons [0.03%]
稳态和振荡耗散孤子相互作用产生的极端波浪
Orazio Descalzi,Helmut R Brand
Orazio Descalzi
We study the interaction of stationary and oscillatory dissipative solitons (DSs) in the framework of two coupled cubic-quintic Ginzburg-Landau equations. Depending on the approach velocity and the cubic cross coupling between counter-propa...