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In recent years, deep learning techniques have shown great success in various tasks related to inverse problems, where a target quantity of interest can only be observed through indirect measurements by a forward operator. Common approaches…

Numerical Analysis · Mathematics 2024-03-18 Matthias Beckmann , Nick Heilenkötter

The extensive adoption of Deep Neural Networks has led to their increased utilization in challenging scientific visualization tasks. Recent advancements in building compressed data models using implicit neural representations have shown…

Machine Learning · Computer Science 2025-10-20 Abhay Kumar Dwivedi , Shanu Saklani , Soumya Dutta

Reconstructing complex 3D interfaces from indirect measurements remains a grand challenge in scientific computing, particularly for ill-posed inverse problems like Electrical Impedance Tomography (EIT). Traditional shape optimization…

Numerical Analysis · Mathematics 2026-04-23 Haibo Liu , Junqing Chen , Guang Lin

Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous-time analog to discrete neural networks. Despite their promise, deploying…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Jan S. Hesthaven

Artificial neural-networks have the potential to emulate cloud processes with higher accuracy than the semi-empirical emulators currently used in climate models. However, neural-network models do not intrinsically conserve energy and mass,…

Atmospheric and Oceanic Physics · Physics 2019-06-18 Tom Beucler , Stephan Rasp , Michael Pritchard , Pierre Gentine

Multimodal spatiotemporal learning on real-world experimental data is constrained by two challenges: within-modality measurements are sparse, irregular, and noisy (QA/QC artifacts) but cross-modally correlated; the set of available…

Machine Learning · Computer Science 2025-11-05 Kevin Valencia , Thilina Balasooriya , Xihaier Luo , Shinjae Yoo , David Keetae Park

Surrogate modeling of non-linear oscillator networks remains challenging due to discrepancies between simplified analytical models and real-world complexity. To bridge this gap, we investigate hybrid reservoir computing, combining reservoir…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Andrew Shannon , Conor Houghton , David Barton , Martin Homer

Model reduction is essential for real-time simulation of deformable objects. Linear techniques such as PCA provide structured and predictable behavior, but their limited expressiveness restricts accuracy under large or nonlinear…

Graphics · Computer Science 2026-01-28 Shixun Huang , Eitan Grinspun , Yue Chang

Effectively localizing an agent in a realistic, noisy setting is crucial for many embodied vision tasks. Visual Odometry (VO) is a practical substitute for unreliable GPS and compass sensors, especially in indoor environments. While…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Marius Memmel , Roman Bachmann , Amir Zamir

Efforts are underway to study ways via which the power of deep neural networks can be extended to non-standard data types such as structured data (e.g., graphs) or manifold-valued data (e.g., unit vectors or special matrices). Often,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-08 Xingjian Zhen , Rudrasis Chakraborty , Nicholas Vogt , Barbara B. Bendlin , Vikas Singh

While object diagrams (ODs) are widely used as a means to document object-oriented systems, they are expressively weak, as they are limited to describe specific possible snapshots of the system at hand. In this paper we introduce modal…

Software Engineering · Computer Science 2014-09-09 Shahar Maoz , Jan Oliver Ringert , Bernhard Rumpe

Despite the advancements in learning governing differential equations from observations of dynamical systems, data-driven methods are often unaware of fundamental physical laws, such as frame invariance. As a result, these algorithms may…

Machine Learning · Computer Science 2024-11-06 Jianke Yang , Wang Rao , Nima Dehmamy , Robin Walters , Rose Yu

Dynamic simulators model systems evolving over time. Often, it operates iteratively over fixed number of time-steps. The output of such simulator can be considered as time series or discrete functional outputs. Metamodeling is an e ective…

Applications · Statistics 2013-04-04 Ekaterina Sergienko , Fabrice Gamboa , Daniel Busby

Automatically generating invariants, key to computer-aided analysis of probabilistic and deterministic programs and compiler optimisation, is a challenging open problem. Whilst the problem is in general undecidable, the goal is settled for…

Programming Languages · Computer Science 2024-11-06 Daneshvar Amrollahi , Ezio Bartocci , George Kenison , Laura Kovács , Marcel Moosbrugger , Miroslav Stankovič

To achieve high-levels of autonomy, modern robots require the ability to detect and recover from anomalies and failures with minimal human supervision. Multi-modal sensor signals could provide more information for such anomaly detection…

Robotics · Computer Science 2020-12-17 Tianchen Ji , Sri Theja Vuppala , Girish Chowdhary , Katherine Driggs-Campbell

Automatically generating invariants, key to computer-aided analysis of probabilistic and deterministic programs and compiler optimisation, is a challenging open problem. Whilst the problem is in general undecidable, the goal is settled for…

Programming Languages · Computer Science 2022-06-15 Daneshvar Amrollahi , Ezio Bartocci , George Kenison , Laura Kovács , Marcel Moosbrugger , Miroslav Stankovič

Frameworks for writing, compiling, and optimizing deep learning (DL) models have recently enabled progress in areas like computer vision and natural language processing. Extending these frameworks to accommodate the rapidly diversifying…

Neural network-based methods for (un)conditional density estimation have recently gained substantial attention, as various neural density estimators have outperformed classical approaches in real-data experiments. Despite these empirical…

Machine Learning · Statistics 2025-10-02 Dehao Dai , Jianqing Fan , Yihong Gu , Debarghya Mukherjee

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

We present a framework for synthesising formulas in first-order logic (FOL) from examples, which unifies and advances state-of-the-art approaches for inference of transition system invariants. To do so, we study and categorise the existing…

Programming Languages · Computer Science 2026-01-08 Ziyi Yang , George Pîrlea , Ilya Sergey