Cover Image

Synchronization of mean-field models on the circle

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Polyanskiy, Yury, Rigollet, Philippe, Yao, Andrew
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems Machine Learning Analysis of PDEs Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Dynamic metastability in the self-attention model
by: Geshkovski, Borjan, et al.
Published: (2024)

Quantitative Clustering in Mean-Field Transformer Models
by: Chen, Shi, et al.
Published: (2025)

A mathematical perspective on Transformers
by: Geshkovski, Borjan, et al.
Published: (2023)

Synchronization on circles and spheres with nonlinear interactions
by: Criscitiello, Christopher, et al.
Published: (2024)

Clustering in Causal Attention Masking
by: Karagodin, Nikita, et al.
Published: (2024)

Relaxation and stability analysis of a third-order multiclass traffic flow model
by: Gerster, Stephan, et al.
Published: (2025)

Feedback stabilization for a spatial-dependent Sterile Insect Technique model with Allee Effect
by: Bidi, Kala Agbo, et al.
Published: (2025)

Target controllability for a minimum time problem in a trait-structured chemostat model
by: Alvarez-Latuz, Claudia, et al.
Published: (2026)

YuriiFormer: A Suite of Nesterov-Accelerated Transformers
by: Zimin, Aleksandr, et al.
Published: (2026)

Turbulence modeling over riblets via domain transformation
by: Naseri, Mohammadamin, et al.
Published: (2025)

Propagation of Chaos in Contextual Flow Maps
by: Chen, Shi, et al.
Published: (2026)

Mean-Square Exponential Stabilization of Mixed-Autonomy Traffic PDE System
by: Zhang, Yihuai, et al.
Published: (2023)

The emergence of clusters in self-attention dynamics
by: Geshkovski, Borjan, et al.
Published: (2023)

Control of neural field equations with step-function inputs
by: Tamekue, Cyprien, et al.
Published: (2025)

A Smooth, Recurrent, Non-Periodic Viscosity Solution of the Hamilton-Jacobi Equation
by: Charfi, Skander
Published: (2025)

Boundary Control for Stability and Invariance of Traffic Flow Dynamics: A Convex Optimization Approach
by: Chiri, Maria Teresa, et al.
Published: (2025)

On the vanishing viscosity limit of Hamilton-Jacobi equations with nearly optimal discount
by: Wang, Zibo, et al.
Published: (2025)

Bushfires and Balance: Proactive versus Reactive Policies in Prescribed Burning
by: Dipierro, Serena, et al.
Published: (2025)

Representation of Global Viscosity Solutions for Tonelli Hamiltonians
by: Charfi, Skander
Published: (2025)

Exponential Stabilization of Moving Shockwave in ARZ Traffic Model via Boundary Control: Explicit Gains and Arbitrary Decay Rate
by: Cao, Mina, et al.
Published: (2026)

Hierarchical Stability and Lyapunov Conditions for Linear PDEs
by: Peet, Matthew M.
Published: (2026)

Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems
by: Kurula, Mikael
Published: (2022)

A Computational Method for $H_2$-optimal Estimator and State Feedback Controller Synthesis for PDEs
by: Shivakumar, Sachin, et al.
Published: (2024)

From oblique-wave forcing to streak reinforcement: A perturbation-based frequency-response framework
by: Božić, Dušan, et al.
Published: (2026)

A Mixed-FEM approximation with uniform conservation of the exponential stability for a class of anisotropic port-Hamiltonian system and its application to LQ control
by: Mora, Luis A., et al.
Published: (2025)

Exponential mixing for the randomly forced NLS equation
by: Chen, Yuxuan, et al.
Published: (2025)

Bounding Escape Rates and Approximating Quasi-Stationary Distributions of Brownian Dynamics
by: Bramburger, Jason J.
Published: (2025)

Exponential mixing for random nonlinear wave equations: weak dissipation and localized control
by: Liu, Ziyu, et al.
Published: (2024)

Drift Control of High-Dimensional RBM: A Computational Method Based on Neural Networks
by: Ata, Baris, et al.
Published: (2023)

Neural Operators for PDE Backstepping Control of First-Order Hyperbolic PIDE with Recycle and Delay
by: Qi, Jie, et al.
Published: (2023)

Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Regime: A Computational Approach for High-Dimensional Problems
by: Ata, Baris, et al.
Published: (2023)

Moving-Horizon Estimators for Hyperbolic and Parabolic PDEs in 1-D
by: Bhan, Luke, et al.
Published: (2024)

Observability conditions for neural state-space models with eigenvalues and their roots of unity
by: Gracyk, Andrew
Published: (2025)

Symmetric Hermite quadrature-based balanced truncation for learning linear dynamical systems from derivative data
by: Reiter, Sean, et al.
Published: (2026)

Residual connections provably mitigate oversmoothing in graph neural networks
by: Chen, Ziang, et al.
Published: (2025)

Optimizing Hard Thresholding for Sparse Model Discovery
by: Jollie, Derek W., et al.
Published: (2025)

From Adam to Adam-Like Lagrangians: Second-Order Nonlocal Dynamics
by: Heredia, Carlos
Published: (2026)

Continuous Data Assimilation with Learned Surrogate Dynamics
by: Li, Wenwen, et al.
Published: (2026)

Creating walls to avoid unwanted points in root finding and optimization
by: Truong, Tuyen Trung
Published: (2023)

Trustworthy Koopman Operator Learning: Invariance Diagnostics and Error Bounds
by: Conradie, Gustav, et al.
Published: (2026)