Linear stochastic systems
A training algorithm for optimal margin classifiers
COLT '92 Proceedings of the fifth annual workshop on Computational learning theory
The Sparse Basis Problem and Multilinear Algebra
SIAM Journal on Matrix Analysis and Applications
The nature of statistical learning theory
The nature of statistical learning theory
The Solution to a Structured Matrix Approximation Problem Using Grassman Coordinates
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Training Invariant Support Vector Machines
Machine Learning
Face Recognition from Long-Term Observations
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Face Recognition Using Temporal Image Sequence
FG '98 Proceedings of the 3rd. International Conference on Face & Gesture Recognition
Recognition and Structure from one 2D Model View: Observations on Prototypes, Object Classes and Symmetries
Kernel independent component analysis
The Journal of Machine Learning Research
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Class-Incremental Generalized Discriminant Analysis
Neural Computation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Binet-Cauchy Kernels on Dynamical Systems and its Application to the Analysis of Dynamic Scenes
International Journal of Computer Vision
Boosted manifold principal angles for image set-based recognition
Pattern Recognition
The Pyramid Match Kernel: Efficient Learning with Sets of Features
The Journal of Machine Learning Research
Discriminative Learning and Recognition of Image Set Classes Using Canonical Correlations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple feature fusion by subspace learning
CIVR '08 Proceedings of the 2008 international conference on Content-based image and video retrieval
Grassmann discriminant analysis: a unifying view on subspace-based learning
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Robust matching and recognition using context-dependent kernels
Proceedings of the 25th international conference on Machine learning
Polynomial Summaries of Positive Semidefinite Kernels
ALT '07 Proceedings of the 18th international conference on Algorithmic Learning Theory
A pose-wise linear illumination manifold model for face recognition using video
Computer Vision and Image Understanding
Video retrieval based on object discovery
Computer Vision and Image Understanding
Polynomial summaries of positive semidefinite kernels
Theoretical Computer Science
The pyramid match: efficient learning with partial correspondences
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 2
Dimension amnesic pyramid match kernel
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 2
An efficient key point quantization algorithm for large scale image retrieval
LS-MMRM '09 Proceedings of the First ACM workshop on Large-scale multimedia retrieval and mining
Temporal normalization of videos using visual speech
MiFor '09 Proceedings of the First ACM workshop on Multimedia in forensics
Boosting constrained mutual subspace method for robust image-set based object recognition
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
A New Incremental PCA Algorithm With Application to Visual Learning and Recognition
Neural Processing Letters
An information-theoretic approach to face recognition from face motion manifolds
Image and Vision Computing
Single image subspace for face recognition
AMFG'07 Proceedings of the 3rd international conference on Analysis and modeling of faces and gestures
A hierarchical image kernel with application to pedestrian identification for video surveillance
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
On-line learning of mutually orthogonal subspaces for face recognition by image sets
IEEE Transactions on Image Processing
An evaluation of video-to-video face verification
IEEE Transactions on Information Forensics and Security
A novel robust kernel for visual learning problems
Neurocomputing
Geometry aware local kernels for object recognition
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part I
Randomised manifold forests for principal angle-based face recognition
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
Face recognition from still images to video sequences: a local-feature-based framework
Journal on Image and Video Processing - Special issue on advanced video-based surveillance
Relaxed exponential kernels for unsupervised learning
DAGM'11 Proceedings of the 33rd international conference on Pattern recognition
ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume part II
Dynamic subspace update with incremental Nyström approximation
ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume part II
Image set-based hand shape recognition using camera selection driven by multi-class AdaBoosting
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
Mathematics and Computers in Simulation
Face recognition from video using the generic shape-illumination manifold
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part II
Margin maximizing discriminant analysis for multi-shot based object recognition
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
Learning discriminative canonical correlations for object recognition with image sets
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Face recognition with the multiple constrained mutual subspace method
AVBPA'05 Proceedings of the 5th international conference on Audio- and Video-Based Biometric Person Authentication
Image-Set based face recognition using boosted global and local principal angles
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part I
Exploring similarity-based classification of larynx disorders from human voice
Speech Communication
Margin preserving projection for image set based face recognition
ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part II
Gender classification from unaligned facial images using support subspaces
Information Sciences: an International Journal
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part V
Face recognition in videos: a graph based modified kernel discriminant analysis
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part I
Generalized mutual subspace based methods for image set classification
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part I
Kernel analysis on Grassmann manifolds for action recognition
Pattern Recognition Letters
Fusing cluster-centric feature similarities for face recognition in video sequences
Pattern Recognition Letters
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We consider the problem of learning with instances defined over a space of sets of vectors. We derive a new positive definite kernel f(A,B) defined over pairs of matrices A,B based on the concept of principal angles between two linear subspaces. We show that the principal angles can be recovered using only inner-products between pairs of column vectors of the input matrices thereby allowing the original column vectors of A,B to be mapped onto arbitrarily high-dimensional feature spaces.We demonstrate the usage of the matrix-based kernel function f(A,B) with experiments on two visual tasks. The first task is the discrimination of "irregular" motion trajectory of an individual or a group of individuals in a video sequence. We use the SVM approach using f(A,B) where an input matrix represents the motion trajectory of a group of individuals over a certain (fixed) time frame. We show that the classification (irregular versus regular) greatly outperforms the conventional representation where all the trajectories form a single vector. The second application is the visual recognition of faces from input video sequences representing head motion and facial expressions where f(A,B) is used to compare two image sequences.