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Karthik Duraisamy
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2020 – today
- 2024
- [j14]Christian Jacobsen, Ivan Zanardi, Sahil Bhola, Karthik Duraisamy, Marco Panesi:
Information theoretic clustering for coarse-grained modeling of non-equilibrium gas dynamics. J. Comput. Phys. 507: 112977 (2024) - [i20]Christian Jacobsen, Jiayuan Dong, Mehdi Khalloufi, Xun Huan, Karthik Duraisamy, Maryam Akram, Wanjiao Liu:
Enhancing Dynamical System Modeling through Interpretable Machine Learning Augmentations: A Case Study in Cathodic Electrophoretic Deposition. CoRR abs/2401.08414 (2024) - [i19]Jiayuan Dong, Christian Jacobsen, Mehdi Khalloufi, Maryam Akram, Wanjiao Liu, Karthik Duraisamy, Xun Huan:
Variational Bayesian Optimal Experimental Design with Normalizing Flows. CoRR abs/2404.13056 (2024) - [i18]Karthik Duraisamy:
Finite Sample Analysis and Bounds of Generalization Error of Gradient Descent in In-Context Linear Regression. CoRR abs/2405.02462 (2024) - [i17]Yilin Zhuang, Sibo Cheng, Karthik Duraisamy:
Spatially-Aware Diffusion Models with Cross-Attention for Global Field Reconstruction with Sparse Observations. CoRR abs/2409.00230 (2024) - 2023
- [j13]Cheng Huang, Karthik Duraisamy:
Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections. J. Comput. Phys. 491: 112356 (2023) - [j12]Nicholas Arnold-Medabalimi, Christopher R. Wentland, Cheng Huang, Karthik Duraisamy:
PLATFORM: Parallel Linear Algebra Tool FOr Reduced Modeling. SoftwareX 21: 101313 (2023) - [c6]Daisuke Uchida, Karthik Duraisamy:
Control-aware Learning of Koopman Embedding Models. ACC 2023: 941-948 - [i16]Shaowu Pan, Karthik Duraisamy:
On the lifting and reconstruction of dynamical systems with multiple attractors. CoRR abs/2304.11860 (2023) - [i15]Elnaz Rezaian, Karthik Duraisamy:
Data-driven Balanced Truncation for Predictive Model Order Reduction of Aeroacoustic Response. CoRR abs/2304.13900 (2023) - [i14]Marcial Sanchis-Agudo, Yuning Wang, Karthik Duraisamy, Ricardo Vinuesa:
Easy attention: A simple self-attention mechanism for Transformers. CoRR abs/2308.12874 (2023) - [i13]Christian Jacobsen, Yilin Zhuang, Karthik Duraisamy:
CoCoGen: Physically-Consistent and Conditioned Score-based Generative Models for Forward and Inverse Problems. CoRR abs/2312.10527 (2023) - 2022
- [j11]Cheng Huang, Christopher R. Wentland, Karthik Duraisamy, Charles L. Merkle:
Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation. J. Comput. Phys. 448: 110742 (2022) - [j10]Ayoub Gouasmi, Scott M. Murman, Karthik Duraisamy:
Entropy-stable schemes in the low-Mach-number regime: Flux-preconditioning, entropy breakdowns, and entropy transfers. J. Comput. Phys. 456: 111036 (2022) - [j9]Christopher R. Wentland, Karthik Duraisamy:
PERFORM: A Python package for developing reduced-order models for reacting fluid flows. J. Open Source Softw. 7(79): 3428 (2022) - [i12]Vishal Srivastava, Valentin Sulzer, Peyman Mohtat, Jason B. Siegel, Karthik Duraisamy:
A Non-intrusive Approach for Physics-constrained Learning with Application to Fuel Cell Modeling. CoRR abs/2207.10819 (2022) - 2021
- [c5]Mohit Tekriwal, Karthik Duraisamy, Jean-Baptiste Jeannin:
A Formal Proof of the Lax Equivalence Theorem for Finite Difference Schemes. NFM 2021: 322-339 - [c4]Jiayang Xu, Aniruddhe Pradhan, Karthik Duraisamy:
Conditionally Parameterized, Discretization-Aware Neural Networks for Mesh-Based Modeling of Physical Systems. NeurIPS 2021: 1634-1645 - [i11]Karthik Duraisamy:
Variational Encoders and Autoencoders : Information-theoretic Inference and Closed-form Solutions. CoRR abs/2101.11428 (2021) - [i10]Mohit Tekriwal, Karthik Duraisamy, Jean-Baptiste Jeannin:
A formal proof of the Lax equivalence theorem for finite difference schemes. CoRR abs/2103.13534 (2021) - [i9]James Duvall, Karthik Duraisamy, Shaowu Pan:
Non-linear Independent Dual System (NIDS) for Discretization-independent Surrogate Modeling over Complex Geometries. CoRR abs/2109.07018 (2021) - [i8]Christian Jacobsen, Karthik Duraisamy:
Disentangling Generative Factors of Physical Fields Using Variational Autoencoders. CoRR abs/2109.07399 (2021) - [i7]Jiayang Xu, Aniruddhe Pradhan, Karthik Duraisamy:
Conditionally Parameterized, Discretization-Aware Neural Networks for Mesh-Based Modeling of Physical Systems. CoRR abs/2109.09510 (2021) - [i6]Elnaz Rezaian, Cheng Huang, Karthik Duraisamy:
Non-intrusive Balancing Transformation of Highly Stiff Systems with Lightly-damped Impulse Response. CoRR abs/2109.10408 (2021) - 2020
- [j8]Shaowu Pan, Karthik Duraisamy:
Physics-Informed Probabilistic Learning of Linear Embeddings of Nonlinear Dynamics with Guaranteed Stability. SIAM J. Appl. Dyn. Syst. 19(1): 480-509 (2020)
2010 – 2019
- 2019
- [j7]Ayoub Gouasmi, Scott M. Murman, Karthik Duraisamy:
Entropy Conservative Schemes and the Receding Flow Problem. J. Sci. Comput. 78(2): 971-994 (2019) - [i5]Yaser Afshar, Saakaar Bhatnagar, Shaowu Pan, Karthik Duraisamy, Shailendra Kaushik:
Prediction of Aerodynamic Flow Fields Using Convolutional Neural Networks. CoRR abs/1905.13166 (2019) - [i4]Jiayang Xu, Karthik Duraisamy:
Multi-level Convolutional Autoencoder Networks for Parametric Prediction of Spatio-temporal Dynamics. CoRR abs/1912.11114 (2019) - 2018
- [j6]Shaowu Pan, Karthik Duraisamy:
Long-Time Predictive Modeling of Nonlinear Dynamical Systems Using Neural Networks. Complex. 2018: 4801012:1-4801012:26 (2018) - [j5]Shaowu Pan, Karthik Duraisamy:
Data-Driven Discovery of Closure Models. SIAM J. Appl. Dyn. Syst. 17(4): 2381-2413 (2018) - [i3]Shaowu Pan, Karthik Duraisamy:
Long-time predictive modeling of nonlinear dynamical systems using neural networks. CoRR abs/1805.12547 (2018) - 2017
- [j4]Eric J. Parish, Karthik Duraisamy:
A dynamic subgrid scale model for Large Eddy Simulations based on the Mori-Zwanzig formalism. J. Comput. Phys. 349: 154-175 (2017) - 2016
- [j3]Eric J. Parish, Karthik Duraisamy:
A paradigm for data-driven predictive modeling using field inversion and machine learning. J. Comput. Phys. 305: 758-774 (2016) - [c3]Ankit Goel, Karthik Duraisamy, Dennis S. Bernstein:
Parameter estimation in the Burgers equation using retrospective-cost model refinement. ACC 2016: 6983-6988 - [i2]Anand Pratap Singh, Shivaji Medida, Karthik Duraisamy:
Machine Learning-augmented Predictive Modeling of Turbulent Separated Flows over Airfoils. CoRR abs/1608.03990 (2016) - 2015
- [c2]Ankit Goel, Antai Xie, Karthik Duraisamy, Dennis S. Bernstein:
Retrospective cost adaptive thrust control of a 1D scramjet with Mach number disturbance. ACC 2015: 5551-5556 - [i1]Ze Jia Zhang, Karthik Duraisamy, Nail A. Gumerov:
Efficient Multiscale Gaussian Process Regression using Hierarchical Clustering. CoRR abs/1511.02258 (2015) - 2011
- [c1]Zach DeVito, Niels Joubert, Francisco Palacios, Stephen Oakley, Montserrat Medina, Mike Barrientos, Erich Elsen, Frank Ham, Alex Aiken, Karthik Duraisamy, Eric Darve, Juan J. Alonso, Pat Hanrahan:
Liszt: a domain specific language for building portable mesh-based PDE solvers. SC 2011: 9:1-9:12
2000 – 2009
- 2007
- [j2]Karthikeyan Duraisamy, James D. Baeder:
Implicit Scheme for Hyperbolic Conservation Laws Using Nonoscillatory Reconstruction in Space and Time. SIAM J. Sci. Comput. 29(6): 2607-2620 (2007) - 2003
- [j1]Karthikeyan Duraisamy, James D. Baeder, Jian-Guo Liu:
Concepts and Application of Time-Limiters to High Resolution Schemes. J. Sci. Comput. 19(1-3): 139-162 (2003)
Coauthor Index
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