# Locating the Source of Diffusion in Large-Scale Networks

@article{Pinto2012LocatingTS, title={Locating the Source of Diffusion in Large-Scale Networks}, author={Pedro C. Pinto and Patrick Thiran and Martin Vetterli}, journal={Physical review letters}, year={2012}, volume={109 6}, pages={ 068702 } }

How can we localize the source of diffusion in a complex network? Because of the tremendous size of many real networks-such as the internet or the human social graph-it is usually unfeasible to observe the state of all nodes in a network. We show that it is fundamentally possible to estimate the location of the source from measurements collected by sparsely placed observers. We present a strategy that is optimal for arbitrary trees, achieving maximum probability of correct localization. We…

## 298 Citations

### Network observability and localization of sources of diffusion in tree networks with missing edges

- Computer Science2014 22nd European Signal Processing Conference (EUSIPCO)
- 2014

This work analyzes the problem of source localization, based on infection times of a subset of nodes in incompletely observed tree networks, under a simple propagation model, and considers the number of possible topologies that are consistent with the observed incomplete tree.

### Network observability and localization of the source of diffusion based on a subset of nodes

- Computer Science, Mathematics2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)
- 2013

This paper presents a model for the dynamics of network diffusion similar to state update of a linear time-varying system, and presents different methods to perform source localization depending on network observability.

### Identification of efficient observers for locating spreading source in complex networks

- Computer Science
- 2016

### Network observability for source localization in graphs with unobserved edges

- Computer Science, Mathematics2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP)
- 2014

This work analyzes the problem of selecting the minimum number of observed nodes that would lead to unambiguous source localization, i.e. achieve network observability, when both infection times of all the nodes, as well as the network structure cannot be fully observed.

### Localization of diffusion sources in complex networks with sparse observations

- Computer Science
- 2018

### Locating the Source of Diffusion in Complex Networks via Gaussian-Based Localization and Deduction

- Computer ScienceApplied Sciences
- 2019

By modeling the informed times of the observers, this work derives an optimal source localization solution for arbitrary trees and then extends it to general graphs via proper approximations and can provide valuable insights on the interplay between information diffusion and source localization in complex networks.

### Source Locating of Spreading Dynamics in Temporal Networks

- Computer ScienceWWW
- 2017

An algorithm to solve the problem of locating the source in temporal networks, named the backward temporal diffusion process, and is, to the best of the knowledge, a frontier work in this field.

### Locating the source of diffusion in complex networks by time-reversal backward spreading.

- Computer SciencePhysical review. E
- 2016

A time-reversal backward spreading algorithm to locate the source of a diffusion-like process efficiently and propose a general locatability condition that finds that the sources can be precisely located in arbitrary networks insofar as the locatable condition is assured.

### Multiple propagation paths enhance locating the source of diffusion in complex networks

- Computer SciencePhysica A: Statistical Mechanics and its Applications
- 2019

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