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Lacking rich and realistic data, learned single image denoising algorithms generalize poorly to real raw images that do not resemble the data used for training. Although the problem can be alleviated by the heteroscedastic Gaussian model…

Image and Video Processing · Electrical Eng. & Systems 2020-04-10 Kaixuan Wei , Ying Fu , Jiaolong Yang , Hua Huang

We introduce Compartmentalized Diffusion Models (CDM), a method to train different diffusion models (or prompts) on distinct data sources and arbitrarily compose them at inference time. The individual models can be trained in isolation, at…

Machine Learning · Computer Science 2024-10-15 Aditya Golatkar , Alessandro Achille , Ashwin Swaminathan , Stefano Soatto

We study the inductive biases of diffusion models with a conditioning-variable, which have seen widespread application as both text-conditioned generative image models and observation-conditioned continuous control policies. We observe that…

Machine Learning · Computer Science 2025-12-23 Daniel Pfrommer , Zehao Dou , Christopher Scarvelis , Max Simchowitz , Ali Jadbabaie

Accurately modeling the mechanical behavior of materials is crucial for numerous engineering applications. The quality of these models depends directly on the accuracy of the constitutive law that defines the stress-strain relation.…

Materials Science · Physics 2025-03-18 Zhichao Han , Mohit Pundir , Olga Fink , David S. Kammer

Neural networks can be used as surrogates for PDE models. They can be made physics-aware by penalizing underlying equations or the conservation of physical properties in the loss function during training. Current approaches allow to…

Machine Learning · Computer Science 2022-07-01 Raphael Leiteritz , Patrick Buchfink , Bernard Haasdonk , Dirk Pflüger

Neural surrogate models for computational fluid dynamics (CFD) are typically trained as forward operators that map explicit problem specifications, such as geometry and boundary conditions, to solution fields. This ties the model to the…

Machine Learning · Computer Science 2026-05-29 Jonas Weidner , Yeray Martin-Ruisanchez , Daniel Rueckert , Benedikt Wiestler , Julian Suk

Deep neural networks (DNNs) experience significant performance degradation when processing noisy labels, primarily due to overfitting on mislabeled data. Current mainstream approaches attempt to mitigate this issue by passively filtering…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Ningkang Peng , Jingyang Mao , Xiaoqian Peng , Peirong Ma , Xichen Yang , Weiguang Qu , Yanhui Gu

Scientific imaging often involves long acquisition times to obtain high-quality data, especially when probing complex, heterogeneous systems. However, reducing acquisition time to increase throughput inevitably introduces significant noise…

Artificial Intelligence · Computer Science 2025-05-14 Petrus H. Zwart , Tamas Varga , Odeta Qafoku , James A. Sethian

Accurate and robust surrogate modeling is essential for the real-time control and optimization of large-scale subsurface systems, such as geological CO2 storage and waterflood management. This study investigates the limits of classical…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Dimitrios Voulanas , Eduardo Gildin

We present a combined numerical and data-driven workflow for efficient prediction of nonlinear, instationary convection-diffusion-reaction dynamics on a two-dimensional phenotypic domain, motivated by macroscopic modeling of cancer cell…

Computational Engineering, Finance, and Science · Computer Science 2026-02-02 Michael Urs Lars Kastor , Jan Rottmayer , Anna Hundertmark , Nicolas Ralph Gauger

Magnetic Resonance Imaging (MRI) is a critical tool in modern medical diagnostics, yet its prolonged acquisition time remains a critical limitation, especially in time-sensitive clinical scenarios. While undersampling strategies can…

Image and Video Processing · Electrical Eng. & Systems 2025-10-09 Mohammed Alsubaie , Wenxi Liu , Linxia Gu , Ovidiu C. Andronesi , Sirani M. Perera , Xianqi Li

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

Computation · Statistics 2024-05-10 Jianhua Xian , Ziqi Wang

We explore the possibility of fully replacing a plasma physics kinetic simulator with a graph neural network-based simulator. We focus on this class of surrogate models given the similarity between their message-passing update mechanism and…

Plasma Physics · Physics 2024-05-31 Diogo D Carvalho , Diogo R Ferreira , Luis O Silva

Recent works in learning-integrated optimization have shown promise in settings where the optimization problem is only partially observed or where general-purpose optimizers perform poorly without expert tuning. By learning an optimizer…

Machine Learning · Computer Science 2023-11-06 Arman Zharmagambetov , Brandon Amos , Aaron Ferber , Taoan Huang , Bistra Dilkina , Yuandong Tian

We present a deep learning framework for quantifying and propagating uncertainty in systems governed by non-linear differential equations using physics-informed neural networks. Specifically, we employ latent variable models to construct…

Machine Learning · Statistics 2019-06-26 Yibo Yang , Paris Perdikaris

The dominant paradigm for power system dynamic simulation is to build system-level simulations by combining physics-based models of individual components. The sheer size of the system along with the rapid integration of inverter-based…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Matthew Bossart , Jose Daniel Lara , Ciaran Roberts , Rodrigo Henriquez-Auba , Duncan Callaway , Bri-Mathias Hodge

Numerical simulations on fluid dynamics problems primarily rely on spatially or/and temporally discretization of the governing equation into the finite-dimensional algebraic system solved by computers. Due to complicated nature of the…

Computational Physics · Physics 2021-07-23 Luning Sun , Han Gao , Shaowu Pan , Jian-Xun Wang

Reducing the radiation dose in computed tomography (CT) is important to mitigate radiation-induced risks. One option is to employ a well-trained model to compensate for incomplete information and map sparse-view measurements to the CT…

Image and Video Processing · Electrical Eng. & Systems 2023-03-29 Xiaoyue Li , Kai Shang , Gaoang Wang , Mark D. Butala

This work is concerned with discovering the governing partial differential equation (PDE) of a physical system. Existing methods have demonstrated the PDE identification from finite observations but failed to maintain satisfying results…

Numerical Analysis · Mathematics 2023-02-09 Pongpisit Thanasutives , Takashi Morita , Masayuki Numao , Ken-ichi Fukui

Neural PDE surrogates are often deployed in data-limited or partially observed regimes where downstream decisions depend on calibrated uncertainty in addition to low prediction error. Existing approaches obtain uncertainty through ensemble…

Machine Learning · Computer Science 2026-02-12 Carlos Stein Brito