# Active Learning of Multiple Source Multiple Destination Topologies

@article{Sattari2013ActiveLO, title={Active Learning of Multiple Source Multiple Destination Topologies}, author={Pegah Sattari and Maciej Kurant and Anima Anandkumar and Athina Markopoulou and Michael G. Rabbat}, journal={IEEE Transactions on Signal Processing}, year={2013}, volume={62}, pages={1926-1937} }

We consider the problem of inferring the topology of a network with M sources and N receivers (an M-by- N network), by sending probes between the sources and receivers. Prior work has shown that this problem can be decomposed into two parts: first, infer smaller subnetwork components (1-by- N's or 2-by-2's) and then merge them to identify the M-by- N topology. We focus on the second part, which had previously received less attention in the literature. We assume that a 1-by- N topology is given…

## 7 Citations

Waypoint-based Topology Inference

- Computer ScienceICC 2020 - 2020 IEEE International Conference on Communications (ICC)
- 2020

This work thoroughly study the special case of 1-1-2 topologies, showing that even this seemingly simple case is highly nontrivial with 36 possibilities, and proposes methods to infer the routing topology from a single source to multiple destinations, where routes may be required to traverse a given waypoint.

General Identifiability Condition for Network Topology Monitoring with Network Tomography

- Computer ScienceSensors
- 2019

This paper proves conditions under which it is sufficient to identify the network topology accurately against the time-varying cross-traffic, as long as the relative lengths of the shared paths between any three paths accurately are obtained.

Queuing Network Topology Inference Using Passive Measurements

- Mathematics, Computer Science2021 IFIP Networking Conference (IFIP Networking)
- 2021

In this work, we revisit a classic problem of inferring a tree topology from end-to-end measurements originated by a single source, with two critical differences: (i) instead of relying on…

Identify Congested Links with Network Tomography Under Multipath Routing

- Computer ScienceJournal of Network and Systems Management
- 2018

This paper uses both link delay variances and link loss rates to model the system constraints between end- to-end paths and the interior links, and transfers the issue of congested link identification as an optimization problem.

Looking Glass of NFV: Inferring the Structure and State of NFV Network from External Observations

- Computer ScienceIEEE INFOCOM 2019 - IEEE Conference on Computer Communications
- 2019

This work develops an inference framework designed to “look into” the NFV network, which infers the structure and state of the overlay formed by VNF instances, ingress/egress points of measurement flows, and critical points on their paths.

Looking Glass of NFV: Inferring the Structure and State of NFV Network From External Observations

- Computer ScienceIEEE/ACM Transactions on Networking
- 2020

This work develops an inference framework designed to “look into” the NFV network, which significantly improves both the reconstruction accuracy and the inference accuracy over existing solutions, and service chain information is critical in revealing the structure of the underlying topology.

Learning Graphs From Data: A Signal Representation Perspective

- Computer ScienceIEEE Signal Processing Magazine
- 2019

The conceptual similarities and differences between classical and GSP-based graph-inference methods are emphasized and the potential advantage of the latter is highlighted in a number of theoretical and practical scenarios.

## References

SHOWING 1-10 OF 46 REFERENCES

Topology inference using network coding

- Computer Science
- 2012

Our goal, in this paper, is to infer the topology of a network when (i) we can send probes between sources and receivers at the edge of the network and (ii) intermediate nodes can perform simple…

Multiple source multiple destination topology inference using network coding

- Computer Science2009 Workshop on Network Coding, Theory, and Applications
- 2009

The first contribution is to show that, when intermediate nodes perform network coding, topological information contained in network coded packets allows to accurately distinguish among all different 2-by-2 subnetwork components, which was not possible with traditional tomographic techniques.

Multiple-Source Internet Tomography

- Computer ScienceIEEE Journal on Selected Areas in Communications
- 2006

This work demonstrates that the general multiple source, multiple destination tomography problem can be formally reduced to the two source, two destination case, allowing the immediate generalization of any sampling techniques developed for the simpler, smaller scenario.

Inference of multicast routing trees and bottleneck bandwidths using end-to-end measurements

- Computer ScienceIEEE INFOCOM '99. Conference on Computer Communications. Proceedings. Eighteenth Annual Joint Conference of the IEEE Computer and Communications Societies. The Future is Now (Cat. No.99CH36320)
- 1999

This paper explores the problem of inferring the internal structure of a multicast distribution tree using only observations made at the end hosts and shows that the algorithm is robust and appears to converge to the correct tree with high probability.

Topology discovery of sparse random graphs with few participants

- Computer SciencePERV
- 2011

It is demonstrated that while consistent discovery is tractable for sparse random graphs using a small number of participants, in general, there are graphs which cannot be discovered by any algorithm even with a significant number of Participants, and with the availability of end-to-end information along all the paths between the participants.

Merging logical topologies using end-to-end measurements

- Computer ScienceIMC '03
- 2003

This work develops a multiple source active probing methodology and statistical framework for testing whether the paths from two sources to two receivers branch at a common internal node, to address the problem of merging multiple tree topologies.

Robust multi-source network tomography using selective probes

- Computer Science2012 Proceedings IEEE INFOCOM
- 2012

The first algorithm accommodates measurements perturbed by additive noise, while the second considers a novel noise model that captures missing measurements and the network's deviations from a tree topology.

Hierarchical Inference of Unicast Network Topologies Based on End-to-End Measurements

- Computer ScienceIEEE Transactions on Signal Processing
- 2007

This paper provides a framework that directly deals with general logical tree topologies in unicast logical tree networks using end-to-end measurements and shows that the algorithm is more robust than binary-tree based methods.

Efficient and Dynamic Routing Topology Inference From End-to-End Measurements

- Computer ScienceIEEE/ACM Transactions on Networking
- 2010

This paper proposes a general framework for designing topology inference algorithms based on additive metrics that can flexibly fuse information from multiple measurements to achieve better estimation accuracy and develops computationally efficient (polynomial-time) topology inferred algorithms.