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» Dimensionality reduction and generalization
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ICML
2007
IEEE
14 years 10 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»
14 years 4 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
SDM
2007
SIAM
182views Data Mining» more  SDM 2007»
13 years 11 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
ICCS
2007
Springer
14 years 4 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...
IJCAI
1989
13 years 11 months ago
Motion Planning of Multi-Joint Robotic Arm with Topological Dimension Reduction Method
This paper explores the realization of robotic arm motion planning, especially Findpath Problem, which is a basic motion planning problem that arises in the development of robotic...
Bo Zhang, Ling Zhang, Tian Zhang