Affordable Access

Localized Iterative Methods for Interpolation in Graph Structured Data

Authors
  • Narang, Sunil K.
  • Gadde, Akshay
  • Sanou, Eduard
  • Ortega, Antonio
Type
Preprint
Publication Date
Oct 09, 2013
Submission Date
Oct 09, 2013
Identifiers
arXiv ID: 1310.2646
Source
arXiv
License
Yellow
External links

Abstract

In this paper, we present two localized graph filtering based methods for interpolating graph signals defined on the vertices of arbitrary graphs from only a partial set of samples. The first method is an extension of previous work on reconstructing bandlimited graph signals from partially observed samples. The iterative graph filtering approach very closely approximates the solution proposed in the that work, while being computationally more efficient. As an alternative, we propose a regularization based framework in which we define the cost of reconstruction to be a combination of smoothness of the graph signal and the reconstruction error with respect to the known samples, and find solutions that minimize this cost. We provide both a closed form solution and a computationally efficient iterative solution of the optimization problem. The experimental results on the recommendation system datasets demonstrate effectiveness of the proposed methods.

Report this publication

Statistics

Seen <100 times