Liu Ziyin,Hongchao Li,Masahito Ueda
Liu Ziyin
The stochastic gradient descent (SGD) algorithm is the algorithm we use to train neural networks. However, it remains poorly understood how the SGD navigates the highly nonlinear and degenerate loss landscape of a neural network. In this wo...
Transitions to synchronization in adaptive multilayer networks with higher-order interactions [0.03%]
自适应高阶相互作用多层网络中的同步涌现机制研究
Richita Ghosh,Md Sayeed Anwar,Dibakar Ghosh et al.
Richita Ghosh et al.
Real-world networks are often characterized by simultaneous interactions between multiple agents that adapt themselves due to feedback from the environment. In this article, we investigate the dynamics of an adaptive multilayer network of K...
Takato Yoshimura,Lucas Sá
Takato Yoshimura
We address the longstanding challenge in quantum many-body theory of reconciling unitary dynamics with irreversible relaxation. In classical chaos, the unitary evolution operator develops Ruelle-Pollicott (RP) resonances inside the unit cir...
Alexei Vazquez
Alexei Vazquez
Natural systems are modeled by networks with nodes and links. Often, the nodes are segregated into communities with different connectivity patterns. Node heterogeneity such as political affiliation in social networks or biological function ...
Electrical response of nanofluidic systems subjected to viscosity gradients [0.03%]
黏度梯度作用下的纳米流体系统的电学响应
Ramadan Abu-Rjal,Zuzanna S Siwy,Yoav Green
Ramadan Abu-Rjal
Nanofluidic systems subject to viscosity gradients are ubiquitous to technology and nature, including desalination and energy harvesting systems that utilize fresh water and seawater, thermoionics that leverage large temperature gradients o...
Yi-Duo Chen,Zhi-Xi Wu,Jian-Yue Guan
Yi-Duo Chen
Higher-order interactions are prevalent in real-world complex systems and exert unique influences on system evolution that cannot be captured by pairwise interactions. We incorporate game transitions into the higher-order prisoner's dilemma...
Multicircular static patterns in swarmalator systems: Radii and stability [0.03%]
群集同步系统中的多重圆柱状静态模式：半径和稳定性分析
Udo Schilcher,Marcus Schref,Christian Bettstetter
Udo Schilcher
We analyze spatial patterns emerging in self-organized systems of swarmalators, focusing on constellations where all entities arrange in a sorted manner along one or more concentric circles. Key properties of these patterns are explored by ...
Evidence of replica symmetry breaking under the Nishimori conditions in epidemic inference on graphs [0.03%]
在图上流行病推理中，在Nishimori条件下复制对称性破缺的证据
Alfredo Braunstein,Louise Budzynski,Matteo Mariani et al.
Alfredo Braunstein et al.
In Bayesian inference, computing the posterior distribution from the data is typically a nontrivial problem, which usually requires approximations such as mean-field approaches or numerical methods, like the Monte Carlo Markov chain. Being ...
Analytical modeling and decoupling of humidity effects in nanomechanical sensing based on sorption kinetics and viscoelastic stress relaxation [0.03%]
基于吸附动力学和粘弹性应力松弛的纳米机械传感中湿度影响的解析建模与解耦
Meng-Qun Feng,Kosuke Minami,Yingcheng Zhou et al.
Meng-Qun Feng et al.
Nanomechanical sensors have gained significant attention as powerful tools for detecting target analytes; however, their signals are often influenced by environmental humidity. In static mode operation, the sensing signals of nanomechanical...
Shu-Chao Duan,Shao-Tong Zhou,Gang-Hua Wang et al.
Shu-Chao Duan et al.
Inertial confinement of fusion plasmas can be realized using the dynamic Z pinch, an electromagnetically driven cylindrical implosion system that is also used to generate intense x rays. However, the Z pinch is subject to magnetic Rayleigh-...