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GI
2009
Springer
9 years 4 months ago
The Differential Geometric View of Statistics and Estimation
: Statistics and estimation theory is enriched with techniques derived from differential geometry. This establishes the increasing topic of information geometry. This allows new in...
Felix Opitz
ICPR
2010
IEEE
9 years 4 months ago
Data Classification on Multiple Manifolds
Unlike most previous manifold-based data classification algorithms assume that all the data points are on a single manifold, we expect that data from different classes may reside ...
Rui Xiao, Qijun Zhao, David Zhang, Pengfei Shi
ICIP
2010
IEEE
9 years 4 months ago
Exemplar-Based EM-like image denoising via manifold reconstruction
Discovering local geometry of low-dimensional manifold embedded into a high-dimensional space has been widely studied in the literature of machine learning. Counter-intuitively, w...
Xin Li
ICIP
2010
IEEE
9 years 4 months ago
Curvature analysis of pattern transformation manifolds
Transformation manifolds are quite attractive for image analysis applications that require transformation invariance properties. The geometric structure of a transformation manifo...
Elif Vural, Pascal Frossard
CIKM
2010
Springer
9 years 4 months ago
Manifold ranking with sink points for update summarization
Update summarization aims to create a summary over a topic-related multi-document dataset based on the assumption that the user has already read a set of earlier documents of the ...
Pan Du, Jiafeng Guo, Jin Zhang, Xueqi Cheng
BMVC
2010
9 years 4 months ago
Manifold Alignment via Corresponding Projections
In this paper, we propose a novel manifold alignment method by learning the underlying common manifold with supervision of corresponding data pairs from different observation sets...
Deming Zhai, Bo Li, Hong Chang, Shiguang Shan, Xil...
BMVC
2010
9 years 4 months ago
Iterative Hyperplane Merging: A Framework for Manifold Learning
We present a framework for the reduction of dimensionality of a data set via manifold learning. Using the building blocks of local hyperplanes we show how a global manifold can be...
Harry Strange, Reyer Zwiggelaar
VLSISP
2010
254views more  VLSISP 2010»
9 years 5 months ago
Manifold Based Local Classifiers: Linear and Nonlinear Approaches
Abstract In case of insufficient data samples in highdimensional classification problems, sparse scatters of samples tend to have many ‘holes’—regions that have few or no nea...
Hakan Cevikalp, Diane Larlus, Marian Neamtu, Bill ...
PRICAI
2010
Springer
9 years 5 months ago
Multi-manifold Clustering
Manifold clustering, which regards clusters as groups of points around compact manifolds, has been realized as a promising generalization of traditional clustering. A number of lin...
Yong Wang, Yuan Jiang, Yi Wu, Zhi-Hua Zhou
MICCAI
2010
Springer
9 years 5 months ago
Nonlinear Embedding towards Articulated Spine Shape Inference Using Higher-Order MRFs
In this paper we introduce a novel approach for inferring articulated spine models from images. A low-dimensional manifold embedding is created from a training set of prior mesh mo...
Samuel Kadoury, Nikos Paragios
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