Speechreading using probabilistic models
Computer Vision and Image Understanding - Special issue on physics-based modeling and reasoning in computer vision
Video Rewrite: driving visual speech with audio
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Extraction of Visual Features for Lipreading
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric Hashing: An Overview
IEEE Computational Science & Engineering
Diffusion Kernels on Graphs and Other Discrete Input Spaces
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Laplacian Eigenmaps for dimensionality reduction and data representation
Neural Computation
Segmentation Using Eigenvectors: A Unifying View
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Multiclass Spectral Clustering
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Spectral Grouping Using the Nyström Method
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graph Matching using Spectral Embedding and Alignment
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03
Exact and Approximate Graph Matching Using Random Walks
IEEE Transactions on Pattern Analysis and Machine Intelligence
Representation Analysis and Synthesis of Lip Images Using Dimensionality Reduction
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dynamic Bayesian networks for audio-visual speech recognition
EURASIP Journal on Applied Signal Processing
Many-to-many graph matching via metric embedding
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Towards a theoretical foundation for laplacian-based manifold methods
COLT'05 Proceedings of the 18th annual conference on Learning Theory
Photo-realistic talking-heads from image samples
IEEE Transactions on Multimedia
Manifold alignment using Procrustes analysis
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Discriminatively regularized least-squares classification
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Translated Poisson Mixture Model for Stratification Learning
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Finding representative landmarks of data on manifolds
Pattern Recognition
Pre-image as Karcher Mean Using Diffusion Maps: Application to Shape and Image Denoising
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Proximal support vector machine using local information
Neurocomputing
A diffusion framework for detection of moving vehicles
Digital Signal Processing
Analysis of hyperspectral data with diffusion maps and fuzzy ART
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Artificial Intelligence in Medicine
Super-resolution of human face image using canonical correlation analysis
Pattern Recognition
Nonlinear approximation of spatiotemporal data using diffusion wavelets
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Active-contour-based image segmentation using machine learning techniques
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Video analysis via nonlinear dimensionality reduction
CIARP'07 Proceedings of the Congress on pattern recognition 12th Iberoamerican conference on Progress in pattern recognition, image analysis and applications
A two-step framework for highly nonlinear data unfolding
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Audio-visual group recognition using diffusion maps
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Joint manifolds for data fusion
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Similarity preserving principal curve: an optimal 1-D feature extractor for data representation
IEEE Transactions on Neural Networks
Defining, contouring, and visualizing scalar functions on point-sampled surfaces
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Diffusion maps as a framework for shape modeling
Computer Vision and Image Understanding
Local block representation for face recognition
ICSI'11 Proceedings of the Second international conference on Advances in swarm intelligence - Volume Part II
International Journal of Systems, Control and Communications
Semi-supervised wavelet shrinkage
Computational Statistics & Data Analysis
Fragmented skull modeling using heat kernels
Graphical Models
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Dependence maps, a dimensionality reduction with dependence distance for high-dimensional data
Data Mining and Knowledge Discovery
wFEM heat kernel: Discretization and applications to shape analysis and retrieval
Computer Aided Geometric Design
Efficiency investigation of manifold matching for text document classification
Pattern Recognition Letters
SMI 2013: Heat diffusion kernel and distance on surface meshes and point sets
Computers and Graphics
Manifold alignment preserving global geometry
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Manifold alignment based on sparse local structures of more corresponding pairs
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
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Proceedings of the 7th ACM international conference on Web search and data mining
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Data fusion and multicue data matching are fundamental tasks of high-dimensional data analysis. In this paper, we apply the recently introduced diffusion framework to address these tasks. Our contribution is three-fold: First, we present the Laplace-Beltrami approach for computing density invariant embeddings which are essential for integrating different sources of data. Second, we describe a refinement of the Nyström extension algorithm called "geometric harmonics.” We also explain how to use this tool for data assimilation. Finally, we introduce a multicue data matching scheme based on nonlinear spectral graphs alignment. The effectiveness of the presented schemes is validated by applying it to the problems of lipreading and image sequence alignment.