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MMAS
2010
Springer
13 years 2 days ago
Clustering and Classification through Normalizing Flows in Feature Space
A unified variational methodology is developed for classification and clustering problems, and tested in the classification of tumors from gene expression data. It is based on flu...
J. P. Agnelli, M. Cadeiras, E. G. Tabak, C. V. Tur...
MMAS
2010
Springer
13 years 2 days ago
Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach
We present a formal procedure for structure-preserving model reduction of linear second-order and Hamiltonian control problems that appear in a variety of physical contexts, e.g., ...
Carsten Hartmann, Valentina-Mira Vulcanov, Christo...
MMAS
2010
Springer
13 years 2 days ago
A Novel Method for Solving Multiscale Elliptic Problems with Randomly Perturbed Data
We propose a method for efficient solution of elliptic problems with multiscale features and randomly perturbed coefficients. We use the multiscale finite element method (MsFEM) as...
Victor Ginting, Axel Målqvist, Michael Presh...
MMAS
2010
Springer
13 years 2 days ago
On the Stochastic Modeling of Rigid Body Systems with Application to Polymer Dynamics
The stochastic equations of motion for a system of interacting rigid bodies in a solvent are formulated and studied. Three-dimensional bodies of arbitrary shape, with arbitrary cou...
J. Walter, O. Gonzalez, J. H. Maddocks
MMAS
2010
Springer
13 years 2 days ago
Simplified Modelling of a Thermal Bath, with Application to a Fluid Vortex System
Based on the thermodynamic concept of a reservoir, we investigate a computational model for interaction with unresolved degrees of freedom (a thermal bath). We assume that a finite...
Svetlana Dubinkina, Jason Frank, Ben Leimkuhler