Product of Random Stochastic Matrices and Distributed Averaging

By Behrouz Touri. 2012

76 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management Science and Operations Research, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7c588932ea3c80975f063afefee653732084c717

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Angelia Nedić
2. Wei Shi
3. Michael G. Rabbat
4. Alexander Olshevsky
5. Konstantinos I. Tsianos
6. Sean F. Lawlor
7. Nicolas Loizou
8. Qing Ling

In Management Science and Operations Research

1. Konstantinos I. Tsianos
2. Wei Shi
3. Sean F. Lawlor
4. Alexander Olshevsky
5. Michael G. Rabbat
6. Angelia Nedić

In Statistical and Nonlinear Physics

1. Wei Shi
2. Alexander Olshevsky
3. Sean F. Lawlor
4. Konstantinos I. Tsianos
5. Michael G. Rabbat
6. Angelia Nedić

Citations in the corpus

• Achieving Geometric Convergence for Distributed Optimization Over Time-Varying Graphs (2016, background): “Also, to deal with time-varying graphs, one has to resort to time-varying or ergodic metrics [66] which are not easy to construct when the consensus protocol is combined with an optimization algorithm.”
• Consensus-based distributed optimization: Practical issues and applications in large-scale machine learning (2012, methodology): “More recently, the PhD thesis of Touri [31] provides rates of convergence for backward products using a suitable Lyapunov function and the infinite flow property which ensures that the graph formed by putting edges between nodes that exchange information infinitely often is connected.”