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Neural differential equations are a promising new member in the neural network family. They show the potential of differential equations for time series data analysis. In this paper, the strength of the ordinary differential equation (ODE)…

Machine Learning · Computer Science 2020-05-21 Mansura Habiba , Barak A. Pearlmutter

Effectively modeling phenomena present in highly nonlinear dynamical systems whilst also accurately quantifying uncertainty is a challenging task, which often requires problem-specific techniques. We present a novel, domain-agnostic…

Machine Learning · Statistics 2021-10-26 Thomas M. McDonald , Mauricio A. Álvarez

Recent years have witnessed a flurry of research activity in graph matching, which aims at finding the correspondence of nodes across two graphs and lies at the heart of many artificial intelligence applications. However, matching…

Machine Learning · Computer Science 2021-12-21 Weijie Liu , Hui Qian , Chao Zhang , Jiahao Xie , Zebang Shen , Nenggan Zheng

Matching algorithms are used routinely to match donors to recipients for solid organs transplantation, for the assignment of medical residents to hospitals, record linkage in databases, scheduling jobs on machines, network switching, online…

Data Structures and Algorithms · Computer Science 2020-01-09 David García-Soriano , Francesco Bonchi

Reconfigurable optical topologies promise to improve the performance in datacenters by dynamically optimizing the physical network in a demand-aware manner. State-of-the-art optical technologies allow to establish and update direct…

Data Structures and Algorithms · Computer Science 2023-01-18 Kathrin Hanauer , Monika Henzinger , Stefan Schmid , Jonathan Trummer

Many advances in research regarding immuno-interactions with cancer were developed with the help of ordinary differential equation (ODE) models. These models, however, are not effectively capable of representing problems involving…

Computational Engineering, Finance, and Science · Computer Science 2013-06-03 Grazziela P. Figueredo , Peer-Olaf Siebers , Uwe Aickelin

This paper investigates the autonomous synchronization problem for discrete-time heterogeneous multiagent systems. The synchronization problem is transformed into the asymptotic decoupling problem of stable modes in a class of discrete-time…

Multiagent Systems · Computer Science 2026-05-07 Wei Hu , Quanyi Liang

The quasi-steady state approximation and time-scale separation are commonly applied methods to simplify models of biochemical reaction networks based on ordinary differential equations (ODEs). The concentrations of the "fast" species are…

Dynamical Systems · Mathematics 2016-05-10 Meritxell Sáez , Carsten Wiuf , Elisenda Feliu

Motivated by kidney exchange, we study the following mechanism-design problem: On a directed graph (of transplant compatibilities among patient-donor pairs), the mechanism must select a simple path (a chain of transplantations) starting at…

Computer Science and Game Theory · Computer Science 2021-06-23 Avrim Blum , Paul Gölz

Dynamical complex systems composed of interactive heterogeneous agents are prevalent in the world, including urban traffic systems and social networks. Modeling the interactions among agents is the key to understanding and predicting the…

Multiagent Systems · Computer Science 2024-10-30 Siyuan Chen , Jiahai Wang

This work addresses the problem of exploration in an unknown environment. For linear dynamical systems, we use an experimental design framework and introduce an online greedy policy where the control maximizes the information of the next…

Machine Learning · Statistics 2023-04-27 Matthieu Blanke , Marc Lelarge

Information exchange is a crucial component of many real-world multi-agent systems. However, the communication between the agents involves two major challenges: the limited bandwidth, and the shared communication medium between the agents,…

Multiagent Systems · Computer Science 2021-02-18 Majid Raeis , S. Jamaloddin Golestani

Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to…

Machine Learning · Computer Science 2021-06-11 Sifan Wang , Paris Perdikaris

The analysis of network data has gained considerable interest in recent years. This also includes the analysis of large, high-dimensional networks with hundreds and thousands of nodes. While exponential random graph models serve as…

Methodology · Statistics 2023-09-13 Nadja Klein , Göran Kauermann

While online bipartite matching has gained significant attention in recent years, existing analyses in stochastic settings fail to capture the performance of algorithms on heterogeneous graphs, such as those incorporating inter-group…

Data Structures and Algorithms · Computer Science 2025-06-06 Maria Cherifa , Clément Calauzènes , Vianney Perchet

The task of predicting human motion is complicated by the natural heterogeneity and compositionality of actions, necessitating robustness to distributional shifts as far as out-of-distribution (OoD). Here we formulate a new OoD benchmark…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Anthony Bourached , Ryan-Rhys Griffiths , Robert Gray , Ashwani Jha , Parashkev Nachev

We study the problem that requires a team of robots to perform joint localization and target tracking task while ensuring team connectivity and collision avoidance. The problem can be formalized as a nonlinear, non-convex optimization…

Robotics · Computer Science 2022-10-12 Rahul Zahroof , Jiazhen Liu , Lifeng Zhou , Vijay Kumar

Time series with non-uniform intervals occur in many applications, and are difficult to model using standard recurrent neural networks (RNNs). We generalize RNNs to have continuous-time hidden dynamics defined by ordinary differential…

Machine Learning · Computer Science 2019-07-10 Yulia Rubanova , Ricky T. Q. Chen , David Duvenaud

We consider the challenging problem of online planning for a team of agents to autonomously search and track a time-varying number of mobile objects under the practical constraint of detection range limited onboard sensors. A standard POMDP…

Multiagent Systems · Computer Science 2020-06-23 Hoa Van Nguyen , Hamid Rezatofighi , Ba-Ngu Vo , Damith C. Ranasinghe

Motivated by the use of high speed circuit switches in large scale data centers, we consider the problem of circuit switch scheduling. In this problem we are given demands between pairs of servers and the goal is to schedule at every time…

Data Structures and Algorithms · Computer Science 2019-05-09 Roy Schwartz , Mohit Singh , Sina Yazdanbod