Other Interesting Publications
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Willcox, K., Digital twins: A personalized future of computing for complex systems, at TEDxUTAustin, March 2022 and at TED.com, September 2023
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Kapteyn M. and Willcox, K., Digital Twins: Where Data, Mathematics, Models, and Decisions Collide, in SIAM News, September 2021.
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Willcox K. and Huang, L., Mapping Unbundled Open Education Resources: Pathways Through the Chaos, in FutuOER, The Future of Open Educational Resources, published October 2016.
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Miller, H., Willcox, K. and Huang, L., Crosslinks: Improving Course Connectivity Using Online Open Educational Resources, in The Bridge, The National Academy of Engineering, Volume 46, Number 3, pp. 38-44, Fall 2016.
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Marzouk, Y. and Willcox, K., Uncertainty Quantification, in The Princeton Companion to Applied Mathematics, N.J. Higham (ed.), Princeton University Press, 2015.
Proceedings of Refereed Conferences
(Selected)
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Pham, J., Ghattas, O. and Willcox, K. Real-time aerodynamic load estimation for hypersonics via strain-based inverse maps.
AIAA Paper 2024-1228. In Proceedings of AIAA SciTech Forum & Exhibition, Orlando, FL, January 2024.
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Geelen, R., Balzano, L. and Willcox, K. Learning latent representations in high-dimensional state spaces using polynomial manifold constructions. 62nd IEEE Conference on Decision and Control (CDC), Singapore, December 2023.
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Kalur, A., Mortimer, P., Sirohi, J., Geelen, R. and Willcox, K. Data-driven closures for the dynamic mode decomposition using quadratic manifolds. In Proceedings of AIAA Aviation Forum, San Diego, CA, June 2023.
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Zastrow, B., Chaudhuri, A., Willcox, K., Ashley, A. and Henson, M. Data-driven model reduction via operator inference for coupled aeroelastic flutter. In Proceedings of AIAA SciTech Forum & Exhibition, National Harbor, MD, January 2023.
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Farcas, I.-G., Gundevia, R., Munipalli, R. and Willcox, K. Parametric non-intrusive reduced-order models via operator inference for large-scale rotating detonation engine simulations. In Proceedings of AIAA SciTech Forum & Exhibition, National Harbor, MD, January 2023.
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Sella, V., Pham, J., Chaudhuri, A. and Willcox, K. Projection-based multifidelity linear regression for data-poor applications. In Proceedings of AIAA SciTech Forum & Exhibition, National Harbor, MD, January 2023.
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Hyun, J., Chaudhuri, A., Willcox, K. and Kim, H.A. Multifidelity robust topology optimization for material uncertainties with digital manufacturing. In Proceedings of AIAA SciTech Forum & Exhibition, National Harbor, MD, January 2023.
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Pham, J., Morreale, B., Clemens, N. and Willcox, K., Aerodynamic sensing for hypersonics via scientific machine learning. In Proceedings of AIAA Aviation Forum & Exhibition, Chicago, IL, June 2022.
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Farcas, I., Munipalli, R. and Willcox, K., On filtering in non-intrusive data-driven reduced-order modeling. AIAA 2022-3487. In Proceedings of AIAA Aviation Forum & Exhibition, Chicago, IL, June 2022.
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Huang, L., Bicol, K. and Willcox, K. Modeling COVID-19 disruptions via network mapping of the Common Core Mathematics Standards. ASEE Annual Conference, July 2021. Computers in Education Best Paper Finalist.
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Kapteyn, M. and Willcox, K. Predictive Digital Twins as a Foundation for Improved Mission Readiness. NATO Science and Technology Organization, Proceedings of STO-MP-AVT-355: Intelligent Solutions for Improved Mission Readiness of Military UxVs, 2021. DOI: 10.14339/STO-MP-AVT-355.
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Kapteyn, M., Knezevic, D., and Willcox, K., Toward predictive digital twins via component-based reduced-order models and interpretable machine learning. In Proceedings of 2020 AIAA SciTech Forum & Exhibition, Orlando FL, January, 2020. (Southwest Research Institute Best Student Paper award.)
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Chaudhuri, A., Peherstorfer, B., and Willcox, K., Multifidelity Cross-Entropy Estimation of Conditional
Value-at-Risk for Risk-Averse Design Optimization. In Proceedings of 2020 AIAA SciTech Forum & Exhibition, Orlando FL, January, 2020.
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Qian, E., Kramer, B., Marques, A. and Willcox, K., Transform & Learn: A data-driven approach to nonlinear model reduction. In Proceedings of AIAA Aviation Forum & Exhibition, Dallas, TX, June 2019.
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Chaudhuri, A., Marques, A., Lam, R., and Willcox, K., Reusing information for multifidelity active learning in reliability-based design optimization. 21st AIAA Non-Deterministic Approaches Conference (AIAA Scitech), San Diego, CA, January 2019. DOI 10.2514/6.2019-1222.
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Marques, A., Lam, R. and Willcox, K., Contour location via entropy reduction leveraging multiple information sources. Advances In Neural Information Processing Systems (NeurIPS) 31, pp. 5223-5233, 2018. Supplementary material.
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Peherstorfer, B., Beran, P.S., and Willcox, K., Multifidelity Monte Carlo Estimation for Large-scale Uncertainty Propagation. In proceedings of 2018 AIAA Scitech Forum, Kissimmee, FL, January, 2018.
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Feldstein, A., Lazzara, D., Princen, N., and Willcox, K., Model Uncertainty: A Challenge in Nonlinear Coupled Multidisciplinary System Design. In proceedings of 2018 AIAA Scitech Forum, Kissimmee, FL, January, 2018.
- Lam, R. and Willcox, K., Lookahead Bayesian Optimization
with Inequality Constraints. Advances In Neural Information Processing Systems (NIPS), pp. 1888-1898, 2017.
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Willcox K. and Huang, L., Mapping the CDIO Curriculum with Network Models, in Proceedings of the 13th International CDIO Conference, University of Calgary, Calgary, Canada, June 18-22, 2017.
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Cook, L., Jarrett, J. and Willcox, K., Horsetail Matching for Optimization Under Probabilistic, Interval and Mixed Uncertainties. 19th AIAA Non-deterministic Approaches Conference (AIAA Scitech), Grapevine, TX, January 2017.
- Lam, R., Willcox, K. and Wolpert, D., Bayesian Optimization with a Finite Budget: An Approximate Dynamic Programming Approach. In Advances In Neural Information Processing Systems (NIPS) 29, pp. 883-891, 2016.
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Lam, R., Allaire, D. and Willcox, K. Multifidelity optimization using statistical surrogate modeling for non-hierarchical information sources. AIAA 2015-0143, in 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Kissimmee, FL, January 2015.
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Seering, J., Huang, L. and Willcox, K., Mapping Outcomes in an Undergraduate Aerospace Engineering Program. American Society for Engineering Education, 12th Annual Conference & Exposition, June 2015.
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Ng, L., Huynh, D.B.P. and Willcox, K., Multifidelity Uncertainty Propagation for Optimization Under Uncertainty, AIAA Paper 2012-5602, 14th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Indianapolis, IN, September 2012.
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Allaire, D. and Willcox, K., "A Bayesian-Based Approach to Multi-Fidelity Multidisciplinary Design Optimization," AIAA-2010-9183, presented at 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Fort Worth, TX, September 13-15, 2010.
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Buffoni, M. and Willcox, K., Projection-Based Model Reduction for Reacting Flows, AIAA-2010-5008, presented at 40th Fluid Dynamics Conference and Exhibit, Chicago, IL, June 28-July 1, 2010
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Lehner, S., Lurati, L., Bower, G., Cramer, E., Crossley, W., Engelsen, F., Kroo, I., Smith, S., Willcox, K., "Advanced Multidisciplinary Optimization Techniques for Efficient Subsonic Aircraft Design," AIAA-2010-1321, presented at 48th AIAA Aerospace Sciences Meeting, Orlando, FL, Jan. 4-7, 2010.
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Noel, G., Allaire, D., Jacobsen, S., Willcox, K., and Cointin, R., "Assessing the Uncertainty in FAA's Noise and Emissions Compliance Model," Inter-Noise Conference, Ottawa, Canada, August 23-26, 2009.
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Noel, G., Allaire, D., Jacobsen, S., Willcox, K., and Cointin, R., "Assessment of the Aviation Environmental Design Tool," Eighth USA/Europe Air Traffic Management Research and Development Seminar (ATM2009), Napa, CA, June 29 - July 2, 2009.
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March, A., Waitz, I., and Willcox, K. "A Methodology for Integrated Conceptual Design of Aircraft Configuration and Operation to Reduce Environmental Impact," AIAA-2009-7026, presented at 9th AIAA Aviation Technology, Integration, and Operations Conference, Hilton Head, SC, September 21-23, 2009.
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Lazzara, D., Haimes, R. and Willcox, K. "Multifidelity Geometry and Analysis in Aircraft Conceptual Design," AIAA-2009-3806, presented at 27th AIAA Applied Aerodynamics Conference, San Antonio, TX, June 22-25, 2009.
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Fidkowski, K., Engelsen, F., Willcox, K., and Kroo, I. "Stochastic Gust Analysis Techniques for Aircraft Conceptual Design," AIAA-2008-5848, presented at 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Victoria, British Columbia, September 10-12, 2008.
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Robinson, T., Ooi, B.H., Taff, B., Willcox, K. and Voldman, J., "Surrogate-Based Optimization of a Microfluidic Weir Structure for Single-Cell Manipulation," AIAA-2008-5889, presented at 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Victoria, British Columbia, September 10-12, 2008.
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Stirling, L., Arsie, A., Willcox, K., Frazzoli, E. and Newman, D., "Application of Quantized Control to Self-Rotation Maneuvers," 46th IEEE Conference on Decision and Control, New Orleans, LA, December 2007.
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Allaire, D., Waitz, I. And Willcox, K., "A Comparison of Two Methods for Predicting Emissions from Aircraft Gas Turbine Engine Combustors," ASME Paper GT2007-28346, presented at the ASME International Gas Turbine and Aeroengine Technical Conference, Montreal, Canada, June 2007.
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Allaire, D., Waitz, I. And Willcox, K., "A Comparison of Two Methods for Predicting Emissions from Aircraft Gas Turbine Engine Combustors," ASME Paper GT2007-28346, presented at the ASME International Gas Turbine and Aeroengine Technical Conference, Montreal, Canada, June 2007.
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Bashir, O., Ghattas, O., Hill, J., van Bloemen Waanders, B., and Willcox, K., "Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems," Proceedings of International Conference on Computational Science, Beijing, China, Y. Shi et al. (Eds.): ICCS 2007, Part I, LNCS 4487, pp. 1010-1017, Springer-Verlag, May 2007.
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Stirling, L., Willcox, K. and Newman, D., "Development of Astronaut Orientation Strategies using Optimization Methodologies," Multibody Dynamics 2007, ECCOMAS Thematic Conference, Milan, Italy, June 2007.
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Bui-Thanh, T., Willcox, K., and Ghattas, O., "Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space," AIAA Paper 2007-2049, presented at the 48th AIAA Structures, Structural Dynamics and Materials Conference, Waikiki, HI, April 2007.
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Jones, A., Willcox, K., and Hileman, J., "Distributed Multidisciplinary Optimization of Aircraft Design and Takeoff Operations for Low Noise," AIAA Paper 2007-1856, presented at the 2nd AIAA Multidisciplinary Design Optimization Specialist Conference, Waikiki, HI, April 2007.
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Hovland, S., Willcox, K., and Gravdahl, J., "MPC for large-scale systems via model reduction and multiparametric quadratic programming," 45th IEEE Conference on Decision and Control, San Diego, CA, December 2006.
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Robinson, T., Eldred, M., Willcox, K. and Haimes, R. "Strategies for Multi-fidelity Optimization with Variable Dimensional Hierarchical Models," AIAA paper 2006-1819, presented at the 1st Multidisciplinary Design Optimization Specialist Conference, Newport, RI, April 2006.
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Diedrich, A., Hileman, J., Tan, D., Willcox, K. and Spakovszky, Z. "Multidisciplinary Design and Optimization of the Silent Aircraft," AIAA paper 2006-1323, presented at the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 2006.
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Willcox, K., Ghattas, O., van Bloemen Waanders, B., and Bader, B., "A Goal-Oriented Optimization Framework for Model Reduction of Large-scale Systems," 44th IEEE Conference on Decision and Control, Seville, Spain, December 2005.
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Bui-Thanh, T. and Willcox, K., "Model Reduction for Large-Scale CFD Applications Using the Balanced Proper Orthogonal Decomposition," AIAA Paper 2005-4617, presented at the 16th AIAA Computational Fluid Dynamics Conference, Toronto, Canada, June 2005.
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Astrid, P., Weiland, S. and Willcox, K., "On the acceleration of a POD-based model reduction technique," Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium 5-9 July 2004.
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Willcox, K. and Bounova, G., "Mathematics in Engineering: Identifying, Enhancing and Linking the Implicit Mathematics Curriculum," presented at ASEE Annual Conference, Salt Lake City, UT, June 2004.
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Antoine, N., Kroo, I., Willcox, K. and Barter, G. "A Framework for Aircraft Conceptual Design and Environmental Performance Studies," AIAA Paper 2004-4314, presented at the 10th AIAA Multidisciplinary Analysis and Optimization Conference, Albany, NY, August 2004.
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Peoples, R. and Willcox, K., "A Value-Based MDO Approach to Assess Business Risk for Commercial Aircraft Design," AIAA Paper 2004-4438, presented at the 10th AIAA Multidisciplinary Analysis and Optimization Conference, Albany, NY, August 2004.
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Gratton, D. and Willcox, K., "Reduced-Order, Trajectory Piecewise-Linear Models for Nonlinear Computational Fluid Dynamics," in Proceedings of the 5th SMA Symposium, January 2004, also AIAA Paper 2004-2329, presented at 34th AIAA Fluid Dynamics conference, Portland, OR, June 2004.
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Peoples, R. and Willcox, K., "Value-Based Multidisciplinary Optimization for Commercial Aircraft Design," AIAA paper 2004-1542, presented at the 45th AIAA Structures, Structural Dynamics and Materials conference, Palm Springs, CA, April 2004.
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Willcox, K. and Megretski, A., "Model Reduction for Large-Scale Linear Applications", presented at the 13th IFAC Symposium on System Identification, Rotterdam, The Netherlands, August 2003.
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Bui-Thanh, T., Damodaran, M. and Willcox, K., "Applications of Proper Orthogonal Decomposition for Inviscid Transonic Aerodynamics", AIAA Paper 2003-4213, presented at 15th Computational Fluid Dynamics Conference, Orlando, FL, June 2003.
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Deremaux, Y. and Willcox, K., "Real-Time Visualization and Constraint Analysis in Multidisciplinary Design Optimization", AIAA Paper 2003-3876, presented at 15th Computational Fluid Dynamics Conference, Orlando, FL, June 2003.
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Lassaux, G. and Willcox, K., "Model reduction for active control design using multiple-point Arnoldi methods", AIAA Paper 2003-0616, presented at 41st Aerospace Sciences Meeting & Exhibit, Reno, NV, January 2003.
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Willcox, K., "Controllable and Observable Subspaces in Computational Fluid Dynamics", in Computational fluid dynamics, 2002 (Sydney), pp. 159-164, Springer, Berlin, 2003.
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Markish, J. and Willcox, K., "A Value-Based Approach for Commercial Aircraft Conceptual Design," in Proceedings of the ICAS2002 Congress, Toronto, Canada, September 2002.
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Willcox, K. and Peraire, J., "Application of Reduced-Order Aerodynamic Modeling to the Analysis of Structural Uncertainty in Bladed Disks". ASME Paper GT-30680, presented at the ASME International Gas Turbine and Aeroengine Technical Conference, Amsterdam, The Netherlands, June 2002.
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Willcox, K., Paduano, J., Peraire J. and Hall, K., "Low Order Aerodynamic Models for Aeroelastic Control of Turbomachines". AIAA paper 99-1467, presented at the 40th AIAA Structures, Structural Dynamics and Materials conference, April 1999, St Louis, MO.