Robust Group Subspace Recovery: A New Approach for Multi-Modality Data Fusion

06/18/2020
by   Sally Ghanem, et al.
0

Robust Subspace Recovery (RoSuRe) algorithm was recently introduced as a principled and numerically efficient algorithm that unfolds underlying Unions of Subspaces (UoS) structure, present in the data. The union of Subspaces (UoS) is capable of identifying more complex trends in data sets than simple linear models. We build on and extend RoSuRe to prospect the structure of different data modalities individually. We propose a novel multi-modal data fusion approach based on group sparsity which we refer to as Robust Group Subspace Recovery (RoGSuRe). Relying on a bi-sparsity pursuit paradigm and non-smooth optimization techniques, the introduced framework learns a new joint representation of the time series from different data modalities, respecting an underlying UoS model. We subsequently integrate the obtained structures to form a unified subspace structure. The proposed approach exploits the structural dependencies between the different modalities data to cluster the associated target objects. The resulting fusion of the unlabeled sensors' data from experiments on audio and magnetic data has shown that our method is competitive with other state of the art subspace clustering methods. The resulting UoS structure is employed to classify newly observed data points, highlighting the abstraction capacity of the proposed method.

READ FULL TEXT
research
12/02/2015

Innovation Pursuit: A New Approach to Subspace Clustering

In subspace clustering, a group of data points belonging to a union of s...
research
04/26/2022

Information Fusion: Scaling Subspace-Driven Approaches

In this work, we seek to exploit the deep structure of multi-modal data ...
research
12/21/2015

Multilinear Subspace Clustering

In this paper we present a new model and an algorithm for unsupervised c...
research
09/16/2016

Unbiased Sparse Subspace Clustering By Selective Pursuit

Sparse subspace clustering (SSC) is an elegant approach for unsupervised...
research
03/19/2013

Greedy Feature Selection for Subspace Clustering

Unions of subspaces provide a powerful generalization to linear subspace...
research
05/26/2023

A Robust Probabilistic Approach to Stochastic Subspace Identification

Modal parameter estimation of operational structures is often a challeng...
research
06/09/2020

Homomorphic Sensing of Subspace Arrangements

Homomorphic sensing is a recent algebraic-geometric framework that studi...

Please sign up or login with your details

Forgot password? Click here to reset