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We generalize the Kuramoto model for the synchronization transition of globally coupled phase oscillators to populations by incorporating an additional heterogeneity with the coupling strength, where each oscillator pair interacts with…

Adaptation and Self-Organizing Systems · Physics 2016-12-21 Can Xu , Jian Gao , Hairong Xiang , Wenjing Jia , Shuguang Guan , Zhigang Zheng

A machine learning model is calibrated if its predicted probability for an outcome matches the observed frequency for that outcome conditional on the model prediction. This property has become increasingly important as the impact of machine…

Machine Learning · Computer Science 2025-02-25 Muthu Chidambaram , Rong Ge

Among the various market structures under peer-to-peer energy sharing, one model based on cooperative game theory provides clear incentives for prosumers to collaboratively schedule their energy resources. The computational complexity of…

Computational Engineering, Finance, and Science · Computer Science 2020-08-03 Liyang Han , Thomas Morstyn , Constance Crozier , Malcolm McCulloch

The fundamental success of large language models hinges upon the efficacious implementation of large-scale distributed training techniques. Nevertheless, building a vast, high-performance cluster featuring high-speed communication…

Computation and Language · Computer Science 2024-01-30 Weigao Sun , Zhen Qin , Weixuan Sun , Shidi Li , Dong Li , Xuyang Shen , Yu Qiao , Yiran Zhong

We propose a novel, lightweight, and physically inspired approach to modeling the dynamics of parallel distributed-memory programs. Inspired by the Kuramoto model, we represent MPI processes as coupled oscillators with topology-aware…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-04 Ayesha Afzal , Georg Hager , Gerhard Wellen

The idea that a group of cooperating agents can solve problems more efficiently than when those agents work independently is hardly controversial, despite our obliviousness of the conditions that make cooperation a successful problem…

Multiagent Systems · Computer Science 2015-10-07 José F. Fontanari

Spatiotemporal neural dynamics and oscillatory synchronization are widely implicated in biological information processing and have been hypothesized to support flexible coordination such as feature binding. By contrast, most deep learning…

Machine Learning · Computer Science 2026-04-10 Mingqing Xiao , Yansen Wang , Dongqi Han , Caihua Shan , Dongsheng Li

The Kuramoto model is a classical mathematical model in the field of non-linear dynamical systems that describes the evolution of coupled oscillators in a network that may reach a synchronous state. The relationship between the network's…

Probability · Mathematics 2024-02-16 Pedro Abdalla , Afonso S. Bandeira , Clara Invernizzi

Training large language models requires jointly configuring two interdependent aspects of the system: the global batch size, which governs statistical efficiency, and the 3D parallelism strategy, which governs hardware throughput. Existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-30 Akhmed Sakip , Erland Hilman Fuadi , Omar Sayedelahl , Zonghang Li , Jianshu She , Alham Fikri Aji , Steve Liu , Eric Xing , Qirong Ho

The Kuramoto model with high-order coupling has recently attracted some attention in the field of coupled oscillators in order, for instance, to describe clustering phenomena in sets of coupled agents. Instead of considering interactions…

Adaptation and Self-Organizing Systems · Physics 2019-11-27 Robin Delabays

We study a new formulation of the team-formation problem, where the goal is to form teams to work on a given set of tasks requiring different skills. Deviating from the classic problem setting where one is asking to cover all skills of each…

Social and Information Networks · Computer Science 2025-03-11 Karan Vombatkere , Evimaria Terzi , Aristides Gionis

We discuss the synchronization of coupled neurons which are modelled as FitzHugh-Nagumo systems. As smallest entity in a larger network, we focus on two diffusively coupled subsystems, which can be interpreted as two mutually interacting…

Chaotic Dynamics · Physics 2008-09-05 Philipp Hoevel , Markus A. Dahlem , Eckehard Schoell

Models of coupled oscillator networks play an important role in describing collective synchronization dynamics in biological and technological systems. The Kuramoto model describes oscillator's phase evolution and explains the transition…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Marios Antonios Gkogkas , Benjamin Jüttner , Christian Kuehn , Erik Andreas Martens

Synchronization is an ubiquitous phenomenon in dynamical systems of networked oscillators. While it is often a goal to achieve, in some context one would like to decrease it, e.g., although synchronization is essential to the good…

Dynamical Systems · Mathematics 2025-04-07 Martin Moriamé , Timoteo Carletti

Nature is pervaded with oscillatory dynamics. In networks of coupled oscillators patterns can arise when the system synchronizes to an external input. Hence, these networks provide processing and memory of input. We present a universal…

Machine Learning · Computer Science 2025-06-23 Thomas Geert de Jong , Hirofumi Notsu , Kohei Nakajima

Using recent dimensionality reduction techniques in large systems of coupled phase oscillators exhibiting bistability, we analyze complex macroscopic behavior arising when the coupling between oscillators is allowed to evolve slowly as a…

Adaptation and Self-Organizing Systems · Physics 2015-03-20 Per Sebastian Skardal , Dane Taylor , Juan G. Restrepo

We consider the problem of synchronization of coupled oscillators in a Kuramoto-type model with lossy couplings. Kuramoto models have been used to gain insight on the stability of power networks which are usually nonlinear and involve large…

Optimization and Control · Mathematics 2022-12-20 Yemi Ojo , Khaled Laib , Ioannis Lestas

The Kuramoto model is the simplest case of globally coupled phase oscillators with a purely sinusoidal fundamental-harmonic phase coupling function, whose dynamical properties have been extensively studied. While coupled phase oscillators…

Adaptation and Self-Organizing Systems · Physics 2026-02-18 Norihisa Namura , Riccardo Muolo , Hiroya Nakao

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

Schema matching is a core data integration task, focusing on identifying correspondences among attributes of multiple schemata. Numerous algorithmic approaches were suggested for schema matching over the years, aiming at solving the task…

Databases · Computer Science 2023-08-04 Matan Solomon , Bar Genossar , Roee Shraga , Avigdor Gal
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