Learning Locality-Constrained Collaborative Representation for Face Recognition

TL;DR

This paper introduces LCCR, a novel face recognition method that integrates manifold learning and sparse representation by enforcing local consistency, leading to improved robustness and discrimination in face recognition tasks.

Contribution

The paper proposes a new coding algorithm, LCCR, which combines local geometric structure with collaborative representation, offering an analytical solution without local minima.

Findings

LCCR outperforms existing methods on multiple facial databases.

LCCR demonstrates robustness against occlusions and illumination variations.

LCCR achieves higher recognition accuracy in diverse conditions.

Abstract

The model of low-dimensional manifold and sparse representation are two well-known concise models that suggest each data can be described by a few characteristics. Manifold learning is usually investigated for dimension reduction by preserving some expected local geometric structures from the original space to a low-dimensional one. The structures are generally determined by using pairwise distance, e.g., Euclidean distance. Alternatively, sparse representation denotes a data point as a linear combination of the points from the same subspace. In practical applications, however, the nearby points in terms of pairwise distance may not belong to the same subspace, and vice versa. Consequently, it is interesting and important to explore how to get a better representation by integrating these two models together. To this end, this paper proposes a novel coding algorithm, called Locality-Constrained Collaborative Representation (LCCR), which improves the robustness and discrimination of data representation by introducing a kind of local consistency. The locality term derives from a biologic observation that the similar inputs have similar code. The objective function of LCCR has an analytical solution, and it does not involve local minima. The empirical studies based on four public facial databases, ORL, AR, Extended Yale B, and Multiple PIE, show that LCCR is promising in recognizing human faces from frontal views with varying expression and illumination, as well as various corruptions and occlusions.