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» Semi-Supervised Dimensionality Reduction
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123
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PRL
2006
121views more  PRL 2006»
15 years 3 months ago
Information-preserving hybrid data reduction based on fuzzy-rough techniques
Data reduction plays an important role in machine learning and pattern recognition with a high-dimensional data. In real-world applications data usually exists with hybrid formats...
Qinghua Hu, Daren Yu, Zongxia Xie
123
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ICML
2007
IEEE
16 years 4 months ago
Regression on manifolds using kernel dimension reduction
We study the problem of discovering a manifold that best preserves information relevant to a nonlinear regression. Solving this problem involves extending and uniting two threads ...
Jens Nilsson, Fei Sha, Michael I. Jordan
IROS
2007
IEEE
136views Robotics» more  IROS 2007»
15 years 10 months ago
Task-induced symmetry and reduction in kinematic systems with application to needle steering
— Lie group symmetry in a mechanical system can lead to a dimensional reduction in its dynamical equations. Typically, the symmetries that one exploits are intrinsic to the mecha...
Vinutha Kallem, Dong Eui Chang, Noah J. Cowan
153
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SDM
2007
SIAM
182views Data Mining» more  SDM 2007»
15 years 5 months ago
Distance Preserving Dimension Reduction for Manifold Learning
Manifold learning is an effective methodology for extracting nonlinear structures from high-dimensional data with many applications in image analysis, computer vision, text data a...
Hyunsoo Kim, Haesun Park, Hongyuan Zha
149
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ICCS
2007
Springer
15 years 10 months ago
Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems
Assimilation of spatially- and temporally-distributed state observations into simulations of dynamical systems stemming from discretized PDEs leads to inverse problems with high-di...
Omar Bashir, Omar Ghattas, Judith Hill, Bart G. va...