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Graphs are often used to organize data because of their simple topological structure, and therefore play a key role in machine learning. And it turns out that the low-dimensional embedded representation obtained by graph representation…

Machine Learning · Computer Science 2021-01-05 Xing Li , Wei Wei , Xiangnan Feng , Zhiming Zheng

Consider the following computational problem: given a regular digraph $G=(V,E)$, two vertices $u,v \in V$, and a walk length $t\in \mathbb{N}$, estimate the probability that a random walk of length $t$ from $u$ ends at $v$ to within $\pm…

Computational Complexity · Computer Science 2021-11-04 Edward Pyne , Salil Vadhan

Dynamic graph representation learning has become essential for analyzing evolving networks in domains such as social network analysis, recommendation systems, and traffic analysis. However, existing continuous-time methods face three key…

Machine Learning · Computer Science 2025-10-14 Soheila Farokhi , Xiaojun Qi , Hamid Karimi

We study random walk with adaptive move strategies on a class of directed graphs with variable wiring diagram. The graphs are grown from the evolution rules compatible with the dynamics of the world-wide Web [Tadi\'c, Physica A {\bf 293},…

Statistical Mechanics · Physics 2009-11-07 Bosiljka Tadic

Optimization problems over dynamic networks have been extensively studied and widely used in the past decades to formulate numerous real-world problems. However, (1) traditional optimization-based approaches do not scale to large networks,…

Machine Learning · Computer Science 2023-05-17 Daniele Gammelli , James Harrison , Kaidi Yang , Marco Pavone , Filipe Rodrigues , Francisco C. Pereira

In this paper, we are interested in systems with multiple agents that wish to collaborate in order to accomplish a common task while a) agents have different information (decentralized information) and b) agents do not know the model of the…

Optimization and Control · Mathematics 2020-12-04 Jalal Arabneydi , Aditya Mahajan

Graph neural networks (GNNs) have significantly improved the representation power for graph-structured data. Despite of the recent success of GNNs, the graph convolution in most GNNs have two limitations. Since the graph convolution is…

Machine Learning · Computer Science 2021-12-30 Jinyoung Park , Sungdong Yoo , Jihwan Park , Hyunwoo J. Kim

Learning topological representation of a network in dynamic environments has recently attracted considerable attention due to the time-evolving nature of many real-world networks i.e. nodes/links might be added/removed as time goes on.…

Social and Information Networks · Computer Science 2019-07-30 Chengbin Hou , Han Zhang , Ke Tang , Shan He

Graph Random Walks (GRWs) offer efficient approximations of key graph properties and have been widely adopted in many applications. However, GRW workloads are notoriously difficult to accelerate due to their strong data dependencies,…

Hardware Architecture · Computer Science 2026-01-19 Hongshi Tan , Yao Chen , Xinyu Chen , Qizhen Zhang , Cheng Chen , Weng-Fai Wong , Bingsheng He

Prediction tasks over nodes and edges in networks require careful effort in engineering features used by learning algorithms. Recent research in the broader field of representation learning has led to significant progress in automating…

Social and Information Networks · Computer Science 2016-07-05 Aditya Grover , Jure Leskovec

With wireless devices increasingly forming a unified smart network for seamless, user-friendly operations, random access (RA) medium access control (MAC) design is considered a key solution for handling unpredictable data traffic from…

Networking and Internet Architecture · Computer Science 2025-08-12 Myeung Suk Oh , Zhiyao Zhang , FNU Hairi , Alvaro Velasquez , Jia Liu

Planning coverage path for multiple robots in a decentralized way enhances robustness to coverage tasks handling uncertain malfunctions. To achieve high efficiency in a distributed manner for each single robot, a comprehensive understanding…

Robotics · Computer Science 2022-10-17 Yongkai Liu , Jiawei Hu , Wei Dong

Renormalization of complex networks requires principled criteria for assessing whether a coarse-graining preserves dynamical content. We prove that discrete harmonic morphisms -- surjective maps preserving harmonic functions -- provide the…

Statistical Mechanics · Physics 2026-04-15 Francesco Maria Guadagnuolo , Marco Nurisso , Federica Galluzzi , Antoine Allard , Giovanni Petri

Locomotion is a prime example for adaptive behavior in animals and biological control principles have inspired control architectures for legged robots. While machine learning has been successfully applied to many tasks in recent years, Deep…

Robotics · Computer Science 2020-05-25 Malte Schilling , Kai Konen , Frank W. Ohl , Timo Korthals

Recurrent neural network-based reinforcement learning systems are capable of complex motor control tasks such as locomotion and manipulation, however, much of their underlying mechanisms still remain difficult to interpret. Our aim is to…

Robotics · Computer Science 2023-06-29 Eugene R. Rush , Christoffer Heckman , Kaushik Jayaram , J. Sean Humbert

In multi-agent reinforcement learning (MARL), it is challenging for a collection of agents to learn complex temporally extended tasks. The difficulties lie in computational complexity and how to learn the high-level ideas behind reward…

Multiagent Systems · Computer Science 2021-10-04 Jueming Hu , Zhe Xu , Weichang Wang , Guannan Qu , Yutian Pang , Yongming Liu

Learning to walk over a graph towards a target node for a given query and a source node is an important problem in applications such as knowledge base completion (KBC). It can be formulated as a reinforcement learning (RL) problem with a…

Artificial Intelligence · Computer Science 2018-12-19 Yelong Shen , Jianshu Chen , Po-Sen Huang , Yuqing Guo , Jianfeng Gao

Decentralized learning enables the training of deep learning models over large distributed datasets generated at different locations, without the need for a central server. However, in practical scenarios, the data distribution across these…

Machine Learning · Computer Science 2023-05-09 Sai Aparna Aketi , Abolfazl Hashemi , Kaushik Roy

In typical artificial neural networks, neurons adjust according to global calculations of a central processor, but in the brain neurons and synapses self-adjust based on local information. Contrastive learning algorithms have recently been…

Disordered Systems and Neural Networks · Physics 2022-07-26 Sam Dillavou , Menachem Stern , Andrea J. Liu , Douglas J. Durian

We prove that the linearly edge reinforced random walk (LRRW) on any graph with bounded degrees is recurrent for sufficiently small initial weights. In contrast, we show that for non-amenable graphs the LRRW is transient for sufficiently…

Probability · Mathematics 2014-05-08 Omer Angel , Nicholas Crawford , Gady Kozma
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