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Proceedings ArticleDOI

Manifold Discriminant Analysis

TLDR
The proposed MDA method is evaluated on the tasks of object recognition with image sets, including face recognition and object categorization, and seeks to learn an embedding space, where manifolds with different class labels are better separated, and local data compactness within each manifold is enhanced.
Abstract
This paper presents a novel discriminative learning method, called manifold discriminant analysis (MDA), to solve the problem of image set classification. By modeling each image set as a manifold, we formulate the problem as classification-oriented multi-manifolds learning. Aiming at maximizing “manifold margin”, MDA seeks to learn an embedding space, where manifolds with different class labels are better separated, and local data compactness within each manifold is enhanced. As a result, new testing manifold can be more reliably classified in the learned embedding space. The proposed method is evaluated on the tasks of object recognition with image sets, including face recognition and object categorization. Comprehensive comparisons and extensive experiments demonstrate the effectiveness of our method.

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Citations
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Proceedings ArticleDOI

Covariance discriminative learning: A natural and efficient approach to image set classification

TL;DR: A novel discriminative learning approach to image set classification by modeling the image set with its natural second-order statistic, i.e. covariance matrix, which shows the superiority of this method over state-of-the-art ones in both accuracy and efficiency, but also its stability to two real challenges: noisy set data and varying set size.
Proceedings ArticleDOI

Learning Expressionlets on Spatio-temporal Manifold for Dynamic Facial Expression Recognition

TL;DR: This paper attempts to solve temporal alignment and semantics-aware dynamic representation problems via manifold modeling of videos based on a novel mid-level representation, i.e. expressionlet, and reports results better than the known state-of-the-art.
Journal ArticleDOI

Discriminative Multimanifold Analysis for Face Recognition from a Single Training Sample per Person

TL;DR: This paper proposes a novel discriminative multimanifold analysis (DMMA) method by learning discrim inative features from image patches by partitioning each enrolled face image into several nonoverlapping patches to form an image set for each sample per person.
Proceedings ArticleDOI

Sparse approximated nearest points for image set classification

TL;DR: This paper introduces a novel between-set distance called Sparse Approximated Nearest Point (SANP) distance, which enforces sparsity on the sample coefficients rather than the model coefficients and jointly optimizes the nearest points as well as their sparse approximations.
Proceedings ArticleDOI

Projection Metric Learning on Grassmann Manifold with Application to Video based Face Recognition

TL;DR: This work proposes a novel method to learn the Projection Metric directly on Grassmann manifold rather than in Hilbert space, which can be regarded as performing a geometry-aware dimensionality reduction from the original Grassmann manifolds to a lower-dimensional, more discriminative Grassman manifold where more favorable classification can be achieved.
References
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Journal ArticleDOI

Nonlinear dimensionality reduction by locally linear embedding.

TL;DR: Locally linear embedding (LLE) is introduced, an unsupervised learning algorithm that computes low-dimensional, neighborhood-preserving embeddings of high-dimensional inputs that learns the global structure of nonlinear manifolds.
Journal ArticleDOI

A global geometric framework for nonlinear dimensionality reduction.

TL;DR: An approach to solving dimensionality reduction problems that uses easily measured local metric information to learn the underlying global geometry of a data set and efficiently computes a globally optimal solution, and is guaranteed to converge asymptotically to the true structure.
Journal ArticleDOI

Robust Real-Time Face Detection

TL;DR: In this paper, a face detection framework that is capable of processing images extremely rapidly while achieving high detection rates is described. But the detection performance is limited to 15 frames per second.
Journal ArticleDOI

Eigenfaces vs. Fisherfaces: recognition using class specific linear projection

TL;DR: A face recognition algorithm which is insensitive to large variation in lighting direction and facial expression is developed, based on Fisher's linear discriminant and produces well separated classes in a low-dimensional subspace, even under severe variations in lighting and facial expressions.
Proceedings ArticleDOI

Robust real-time face detection

TL;DR: A new image representation called the “Integral Image” is introduced which allows the features used by the detector to be computed very quickly and a method for combining classifiers in a “cascade” which allows background regions of the image to be quickly discarded while spending more computation on promising face-like regions.
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