Abstract:

We address for the first time the question of how networked agents can collaboratively fit a Morozov-regularized linear model when each agent knows a summand of the regression data. This question generalizes previously studied data-splitting scenarios, which require that the data be partitioned among the agents. To answer the question, we introduce a class of network-structured problems, which contains the regularization problem, and by using the Douglas-Rachford splitting algorithm, we develop a distributed algorithm to solve these problems. We illustrate through simulations that our approach is an effective strategy for fully distributed linear regression.

### Paper Details

- Authors:
- Submitted On:
- 5 December 2016 - 6:33pm
- Short Link:
- Type:
- Poster
- Event:
- Presenter's Name:
- François D. Côté
- Paper Code:
- RMN-P1.13
- Document Year:
- 2016
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[1] François D. Côté, Ioannis N. Psaromiligkos, Warren J. Gross,
"In-Network Linear Regression with Arbitrarily Split Data Matrices",
IEEE SigPort,
2016. [Online]. Available: http://sigport.org/1353. Accessed: Jan. 16, 2019.

@article{1353-16,

url = {http://sigport.org/1353},

author = {François D. Côté; Ioannis N. Psaromiligkos; Warren J. Gross },

publisher = {IEEE SigPort},

title = {In-Network Linear Regression with Arbitrarily Split Data Matrices},

year = {2016} }

url = {http://sigport.org/1353},

author = {François D. Côté; Ioannis N. Psaromiligkos; Warren J. Gross },

publisher = {IEEE SigPort},

title = {In-Network Linear Regression with Arbitrarily Split Data Matrices},

year = {2016} }

TY - EJOUR

T1 - In-Network Linear Regression with Arbitrarily Split Data Matrices

AU - François D. Côté; Ioannis N. Psaromiligkos; Warren J. Gross

PY - 2016

PB - IEEE SigPort

UR - http://sigport.org/1353

ER -

T1 - In-Network Linear Regression with Arbitrarily Split Data Matrices

AU - François D. Côté; Ioannis N. Psaromiligkos; Warren J. Gross

PY - 2016

PB - IEEE SigPort

UR - http://sigport.org/1353

ER -

François D. Côté, Ioannis N. Psaromiligkos, Warren J. Gross.
(2016).
In-Network Linear Regression with Arbitrarily Split Data Matrices.
IEEE SigPort.
http://sigport.org/1353

François D. Côté, Ioannis N. Psaromiligkos, Warren J. Gross,
2016.
In-Network Linear Regression with Arbitrarily Split Data Matrices.
Available at:
http://sigport.org/1353.

François D. Côté, Ioannis N. Psaromiligkos, Warren J. Gross.
(2016).
"In-Network Linear Regression with Arbitrarily Split Data Matrices."
Web.

1. François D. Côté, Ioannis N. Psaromiligkos, Warren J. Gross.
In-Network Linear Regression with Arbitrarily Split Data Matrices [Internet].
IEEE SigPort; 2016.
Available from :
http://sigport.org/1353