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Node-level random walk has been widely used to improve Graph Neural Networks. However, there is limited attention to random walk on edge and, more generally, on $k$-simplices. This paper systematically analyzes how random walk on different…

Machine Learning · Computer Science 2023-10-31 Cai Zhou , Xiyuan Wang , Muhan Zhang

Given a discrete random walk on a finite graph $G$, the vacant set and vacant net are, respectively, the sets of vertices and edges which remain unvisited by the walk at a given step $t$.%These sets induce subgraphs of the underlying graph.…

Combinatorics · Mathematics 2015-05-29 Colin Cooper , Alan Frieze

Modeling and congestion mitigation of mixed-autonomy traffic systems consisting of human-driven vehicles (HVs) and autonomous vehicles (AVs) have become increasingly critical with the rapid development of autonomous driving technology. This…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Yihuai Zhang , Huan Yu

We introduce a set of techniques that allow for efficiently generating many independent random walks in the Massive Parallel Computation (MPC) model with space per machine strongly sublinear in the number of vertices. In this…

Data Structures and Algorithms · Computer Science 2019-11-07 Jakub Łącki , Slobodan Mitrović , Krzysztof Onak , Piotr Sankowski

Graph embedding methods represent nodes in a continuous vector space, preserving information from the graph (e.g. by sampling random walks). There are many hyper-parameters to these methods (such as random walk length) which have to be…

Machine Learning · Computer Science 2018-12-27 Sami Abu-El-Haija , Bryan Perozzi , Rami Al-Rfou , Alex Alemi

In this work we introduce the principles of an algorithm that constructs and maintains a spanning forest in a mobile telecommunication network-a MANET. The algorithm is based on the random walk of a token and is entirely decentralized. A…

Networking and Internet Architecture · Computer Science 2010-06-01 Yoann Pigné , Arnaud Casteigts , Frédéric Guinand , Serge Chaumette

Graph Neural Networks (GNNs) have emerged as a powerful technique for learning on relational data. Owing to the relatively limited number of message passing steps they perform -- and hence a smaller receptive field -- there has been…

Machine Learning · Computer Science 2022-06-27 Ameya Velingker , Ali Kemal Sinop , Ira Ktena , Petar Veličković , Sreenivas Gollapudi

In this work, we study the dynamics of multiple random walkers on networks subject to a simultaneous resetting protocol, whereby all walkers are synchronously returned to their respective initial nodes. For this collective Markovian…

Statistical Mechanics · Physics 2026-04-23 Cristian D. Suarez-Jimenez , Alejandro P. Riascos , Denis Boyer

In this paper, we propose a new system called ASET that allows users to perform structured explorations of text collections in an ad-hoc manner. The main idea of ASET is to use a new two-phase approach that first extracts a superset of…

Computation and Language · Computer Science 2022-03-10 Benjamin Hättasch , Jan-Micha Bodensohn , Carsten Binnig

In this work, we study the topological transition on the associated networks in a model proposed by Saeedian et al. (Scientific Reports 2019 9:9726), which considers a coupled dynamics of node and link states. Our goal was to better…

Physics and Society · Physics 2022-04-05 Paulo Freitas Gomes , Henrique Almeida Fernandes , Ariadne de Andrade Costa

This paper presents Map Reduce Graph (MRG), a novel unsupervised method for modeling and securing HTTP REST APIs. MRG learns API structure from real-world traffic without prior knowledge or labels, automatically generating OpenAPI-compliant…

Cryptography and Security · Computer Science 2026-04-22 Yarin Levi , Ran Dubin

Attack graphs (AG) are used to assess pathways availed by cyber adversaries to penetrate a network. State-of-the-art approaches for AG generation focus mostly on deriving dependencies between system vulnerabilities based on network scans…

Cryptography and Security · Computer Science 2021-10-15 Azqa Nadeem , Sicco Verwer , Shanchieh Jay Yang

We consider random walks in which the walk originates in one set of nodes and then continues until it reaches one or more nodes in a target set. The time required for the walk to reach the target set is of interest in understanding the…

Systems and Control · Computer Science 2019-01-11 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

The mixing time of a random walk, with or without backtracking, on a random graph generated according to the configuration model on $n$ vertices, is known to be of order $\log n$. In this paper we investigate what happens when the random…

Probability · Mathematics 2018-01-16 Luca Avena , Hakan Guldas , Remco van der Hofstad , Frank den Hollander

LLM-based autonomous agents lack persistent procedural memory: they re-derive solutions from scratch even when structurally identical tasks have been solved before. We present APEX-EM, a non-parametric online learning framework that…

Computation and Language · Computer Science 2026-04-06 Pratyay Banerjee , Masud Moshtaghi , Ankit Chadha

Graph convolutional neural networks (GCNNs) have been attracting increasing research attention due to its great potential in inference over graph structures. However, insufficient effort has been devoted to the aggregation methods between…

Machine Learning · Computer Science 2019-05-15 Penghui Sun , Jingwei Qu , Xiaoqing Lyu , Haibin Ling , Zhi Tang

A random walk is a basic stochastic process on graphs and a key primitive in the design of distributed algorithms. One of the most important features of random walks is that, under mild conditions, they converge to a stationary distribution…

Probability · Mathematics 2020-06-19 Leran Cai , Thomas Sauerwald , Luca Zanetti

Large-scale mobile traffic analytics is becoming essential to digital infrastructure provisioning, public transportation, events planning, and other domains. Monitoring city-wide mobile traffic is however a complex and costly process that…

Networking and Internet Architecture · Computer Science 2017-11-08 Chaoyun Zhang , Xi Ouyang , Paul Patras

Community detection on attributed graphs with rich semantic and topological information offers great potential for real-world network analysis, especially user matching in online games. Graph Neural Networks (GNNs) have recently enabled…

Social and Information Networks · Computer Science 2025-02-21 Chang Liu , Yuwen Yang , Yue Ding , Hongtao Lu , Wenqing Lin , Ziming Wu , Wendong Bi

Random walk-based sampling methods are gaining popularity and importance in characterizing large networks. While powerful, they suffer from the slow mixing problem when the graph is loosely connected, which results in poor estimation…

Social and Information Networks · Computer Science 2017-08-31 Junzhou Zhao , Pinghui Wang , John C. S. Lui , Don Towsley , Xiaohong Guan