Randomized Algorithms for Large scale SVMs (2009)
Jethava, Vinay, Suresh, Krishnan, Bhattacharyya, Chiranjib, Hariharan, Ramesh
We propose a randomized algorithm for training Support vector machines(SVMs) on large datasets. By using ideas from Random projections we show that the combinatorial dimension of SVMs is $O({log} n)$...
DETC2004-57096 Automated Symmetry Exploitation in Engineering Analysis (2008)
It is well known that one can exploit symmetry to speed-up engineering analysis and improve accuracy, at the same time. Not surprisingly, most CAE systems have standard ‘provisions ’ for...
ABSTRACT Estimating the Impact of Large Design Changes on Field Problems (2008)
Sankara Hari Gopalakrishnan, Krishnan Suresh
CAD systems today are feature-based in that they represent geometry via a collection of features, and associated feature parameters. During the design process, feature parameters are optimized to...
A Formal Theory for Estimating Defeaturing-Induced Engineering Analysis Errors (2008)
Sankara Hari Gopalakrishnan, Krishnan Suresh
Defeaturing is a popular CAD / CAE simplification technique where ‘small or irrelevant features ’ are suppressed within a CAD model for speeding-up downstream processes, especially finite element...
Automated Symmetry Exploitation in Engineering Analysis (2008)
In engineering analysis, geometric symmetry, when exploited, has two potential benefits: (1) it can significantly reduce the computational time, and (2) it can simultaneously improve the accuracy of...
Generalization of the Kantorovich Method of Dimensional Reduction (2008)
Boundary value problems posed over thin solids are often amenable to a dimensional reduction in that one or more spatial dimensions may be eliminated from the governing equation. One of the popular...
Automating the CAD/CAE dimensional reduction process (2003)
Dimensional reduction is a simplification technique that eliminates one or more dimensions from a boundary value problem. It results in significant computational savings with minimal loss in...