248 citations · 845 across the 36 of their papers we have counts for
36 papers
Symmetry-based selection rules for higher-order interactions in coupled oscillators
Iván Léon, Riccardo Muolo, Yuanzhao Zhang +1
Pairwise interactions among general nonlinear oscillators can be reduced, via phase reduction, to a Kuramoto-type phase coupling . For higher-order interactions,…
Scaling World-Model Reinforcement Learning Through Diffusion Policy Optimization
Xiaoyuan Cheng, Wenxuan Yuan, Zhancun Mu +5
Model-based reinforcement learning (RL) can be effectively supported at scale through the use of world models. However, in practice, scaling such approaches remains fundamentally l…
Anomalous scaling in redirection networks
Harrison Hartle, P. L. Krapivsky, S. Redner +1
In networks that grow by isotropic redirection (IR), a new node selects an initial target node uniformly at random and attaches to a randomly chosen neighbor of the target. The eme…
From Inference to Control: Structure-Guided Control of Hypergraph Dynamics
Robin Delabays, Yuanzhao Zhang, Can Chen +2
Controllability determines whether a system's state can be guided toward any desired configuration, making it a fundamental prerequisite for designing effective control strategies.…
Tempological Control of Network Dynamics
Yuanzhao Zhang, Sean P. Cornelius
Feedback control is an effective strategy for stabilizing a desired state and has been widely adopted in maintaining the stability of systems such as flying birds and power grids.…
Information Shapes Koopman Representation
Xiaoyuan Cheng, Wenxuan Yuan, Yiming Yang +4
The Koopman operator provides a powerful framework for modeling dynamical systems and has attracted growing interest from the machine learning community. However, its infinite-dime…
Mixed higher-order coupling stabilizes new states
Per Sebastian Skardal, Federico Battiston, Maxime Lucas +3
Understanding how higher-order interactions affect collective behavior is a central problem in nonlinear dynamics and complex systems. Most works have focused on a single higher-or…
Collective dynamics on higher-order networks
Federico Battiston, Christian Bick, Maxime Lucas +3
Higher-order interactions that nonlinearly couple more than two nodes are important in many networked systems, and their effects on collective dynamics are increasingly being studi…
Ignition criteria for trigger waves in cell signaling
Brandon H. Schlomann, William S. DeWitt, Yuanzhao Zhang +1
To rapidly coordinate collective behaviors in tissues, cells communicate with one another through traveling fronts of signaling activity called trigger waves. The stimulus threshol…
Learning Beyond Experience: Generalizing to Unseen State Space with Reservoir Computing
Declan A. Norton, Yuanzhao Zhang, Michelle Girvan
Machine learning techniques offer an effective approach to modeling dynamical systems solely from observed data. However, without explicit structural priors -- built-in assumptions…
The size of the sync basin resolved
Pablo Groisman, Cecilia De Vita, Julián Fernández Bonder +1
Sparsely coupled Kuramoto oscillators offer a fertile playground for exploring high-dimensional basins of attraction due to their simple yet multistable dynamics. For identical…
Context parroting: A simple but tough-to-beat baseline for foundation models in scientific machine learning
Yuanzhao Zhang, William Gilpin
Recent time-series foundation models exhibit strong abilities to predict physical systems. These abilities include zero-shot forecasting, in which a model forecasts future states o…
Signature of glassy dynamics in dynamic modes decompositions
Zachary G. Nicolaou, Hangjun Cho, Yuanzhao Zhang +2
Glasses are traditionally characterized by their rugged landscape of disordered low-energy states and their slow relaxation towards thermodynamic equilibrium. Far from equilibrium,…
Zero-shot forecasting of chaotic systems
Yuanzhao Zhang, William Gilpin
Time-series forecasting is a challenging problem that traditionally requires specialized models custom-trained for the specific task at hand. Recently, inspired by the success of l…
How more data can hurt: Instability and regularization in next-generation reservoir computing
Yuanzhao Zhang, Edmilson Roque dos Santos, Huixin Zhang +1
It has been found recently that more data can, counter-intuitively, hurt the performance of deep neural networks. Here, we show that a more extreme version of the phenomenon occurs…
Hypergraph reconstruction from dynamics
Robin Delabays, Giulia De Pasquale, Florian Dörfler +1
A plethora of methods have been developed in the past two decades to infer the underlying network structure of an interconnected system from its collective dynamics. However, metho…
Deeper but smaller: Higher-order interactions increase linear stability but shrink basins
Yuanzhao Zhang, Per Sebastian Skardal, Federico Battiston +2
A key challenge of nonlinear dynamics and network science is to understand how higher-order interactions influence collective dynamics. Although many studies have approached this q…
A minimal model of peripheral clocks reveals differential circadian re-entrainment in aging
Yitong Huang, Yuanzhao Zhang, Rosemary Braun
The mammalian circadian system comprises a network of cell-autonomous oscillators, spanning from the central clock in the brain to peripheral clocks in other organs. These clocks a…
Catch-22s of reservoir computing
Yuanzhao Zhang, Sean P. Cornelius
Reservoir Computing (RC) is a simple and efficient model-free framework for forecasting the behavior of nonlinear dynamical systems from data. Here, we show that there exist common…
Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes
Yuanzhao Zhang, Maxime Lucas, Federico Battiston
Higher-order networks have emerged as a powerful framework to model complex systems and their collective behavior. Going beyond pairwise interactions, they encode structured relati…
Comment on "Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks"
Yuanzhao Zhang
In their recent preprint [arXiv:2108.07893v1], S. Panahi, N. Amaya, I. Klickstein, G. Novello, and F. Sorrentino tested the simultaneous block diagonalization (SBD) technique on sy…
Forget Partitions: Cluster Synchronization in Directed Networks Generate Hierarchies
Fiona M. Brady, Yuanzhao Zhang, Adilson E. Motter
We present a scalable approach for simplifying the stability analysis of cluster synchronization patterns on directed networks. When a network has directional couplings, decomposit…
Basins with tentacles
Yuanzhao Zhang, Steven H. Strogatz
To explore basin geometry in high-dimensional dynamical systems, we consider a ring of identical Kuramoto oscillators. Many attractors coexist in this system; each is a twisted per…
Random heterogeneity outperforms design in network synchronization
Yuanzhao Zhang, Jorge L. Ocampo-Espindola, István Z. Kiss +1
A widely held assumption on network dynamics is that similar components are more likely to exhibit similar behavior than dissimilar ones and that generic differences among them are…