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pro vyhledávání: '"Waanders A"'
We consider goal-oriented optimal design of experiments for infinite-dimensional Bayesian linear inverse problems governed by partial differential equations (PDEs). Specifically, we seek sensor placements that minimize the posterior variance of a pre
Externí odkaz:
http://arxiv.org/abs/2411.07532
Autor:
Bengtsson, Max, Keles, Elif, Durak, Gorkem, Anwar, Syed, Velichko, Yuri S., Linguraru, Marius G., Waanders, Angela J., Bagci, Ulas
In this paper, we present a novel approach for segmenting pediatric brain tumors using a deep learning architecture, inspired by expert radiologists' segmentation strategies. Our model delineates four distinct tumor labels and is benchmarked on a hel
Externí odkaz:
http://arxiv.org/abs/2411.01390
Autor:
Ouermi, Timbwaoga A. J., Li, Jixian, Morrow, Zachary, Waanders, Bart van Bloemen, Johnson, Chris R.
Uncertainty is inherent to most data, including vector field data, yet it is often omitted in visualizations and representations. Effective uncertainty visualization can enhance the understanding and interpretability of vector field data. For instanc
Externí odkaz:
http://arxiv.org/abs/2409.00042
We consider numerical approaches for deterministic, finite-dimensional optimal control problems whose dynamics depend on unknown or uncertain parameters. We seek to amortize the solution over a set of relevant parameters in an offline stage to enable
Externí odkaz:
http://arxiv.org/abs/2402.10033
Optimization constrained by high-fidelity computational models has potential for transformative impact. However, such optimization is frequently unattainable in practice due to the complexity and computational intensity of the model. An alternative i
Externí odkaz:
http://arxiv.org/abs/2402.10957
Autor:
Familiar, Ariana M., Kazerooni, Anahita Fathi, Anderson, Hannah, Lubneuski, Aliaksandr, Viswanathan, Karthik, Breslow, Rocky, Khalili, Nastaran, Bagheri, Sina, Haldar, Debanjan, Kim, Meen Chul, Arif, Sherjeel, Madhogarhia, Rachel, Nguyen, Thinh Q., Frenkel, Elizabeth A., Helili, Zeinab, Harrison, Jessica, Farahani, Keyvan, Linguraru, Marius George, Bagci, Ulas, Velichko, Yury, Stevens, Jeffrey, Leary, Sarah, Lober, Robert M., Campion, Stephani, Smith, Amy A., Morinigo, Denise, Rood, Brian, Diamond, Kimberly, Pollack, Ian F., Williams, Melissa, Vossough, Arastoo, Ware, Jeffrey B., Mueller, Sabine, Storm, Phillip B., Heath, Allison P., Waanders, Angela J., Lilly, Jena V., Mason, Jennifer L., Resnick, Adam C., Nabavizadeh, Ali
Pediatric brain and spinal cancers remain the leading cause of cancer-related death in children. Advancements in clinical decision-support in pediatric neuro-oncology utilizing the wealth of radiology imaging data collected through standard care, how
Externí odkaz:
http://arxiv.org/abs/2310.01413
Autor:
Reese, William, Hart, Joseph, Waanders, Bart van Bloemen, Perego, Mauro, Jakeman, John, Saibaba, Arvind
Inverse problems constrained by partial differential equations (PDEs) play a critical role in model development and calibration. In many applications, there are multiple uncertain parameters in a model which must be estimated. Although the Bayesian f
Externí odkaz:
http://arxiv.org/abs/2212.12386
Hyper-differential sensitivity analysis with respect to model discrepancy: Optimal solution updating
A common goal throughout science and engineering is to solve optimization problems constrained by computational models. However, in many cases a high-fidelity numerical emulation of systems cannot be optimized due to code complexity and computational
Externí odkaz:
http://arxiv.org/abs/2210.09044
Model discrepancy, defined as the difference between model predictions and reality, is ubiquitous in computational models for physical systems. It is common to derive partial differential equations (PDEs) from first principles physics, but make simpl
Externí odkaz:
http://arxiv.org/abs/2210.09037
In inverse problems, one attempts to infer spatially variable functions from indirect measurements of a system. To practitioners of inverse problems, the concept of "information" is familiar when discussing key questions such as which parts of the fu
Externí odkaz:
http://arxiv.org/abs/2208.09095