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09/14/2022
Using Spectral Submanifolds for Nonlinear Periodic Control
Very high dimensional nonlinear systems arise in many engineering proble...
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03/18/2021
How to Compute Invariant Manifolds and their Reduced Dynamics in High-Dimensional Finite-Element Models?
Invariant manifolds are important constructs for the quantitative and qu...
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12/31/2020
An Experimental Evaluation of Transformer-based Language Models in the Biomedical Domain
With the growing amount of text in health data, there have been rapid ad...
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11/30/2020
Integral Equations Model Reduction For Fast Computation of Nonlinear Periodic Response
We propose a reformulation for the integral equations approach of Jain, ...
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09/09/2020
Using Spectral Submanifolds for Optimal Mode Selection in Model Reduction
Model reduction of large nonlinear systems often involves the projection...
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09/17/2019
Multi Sense Embeddings from Topic Models
Distributed word embeddings have yielded state-of-the-art performance in...
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03/05/2019
Model Order Reduction for Temperature-Dependent Nonlinear Mechanical Systems: A Multiple Scales Approach
The thermal dynamics in thermo-mechanical systems exhibits a much slower...
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10/23/2018
Fast Computation of Steady-State Response for Nonlinear Vibrations of High-Degree-of-Freedom Systems
We discuss an integral equation approach that enables fast computation o...
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10/14/2017
Hyper-reduction over nonlinear manifolds for large nonlinear mechanical systems
Common trends in model order reduction of large nonlinear finite-element...
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03/08/2017