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In engineering, uncertainty propagation aims to characterise system outputs under uncertain inputs. For interval uncertainty, the goal is to determine output bounds given interval-valued inputs, which is critical for robust design…

Machine Learning · Computer Science 2026-03-24 Ghifari Adam Faza , Jolan Wauters , Fabio Cuzzolin , Hans Hallez , David Moens

Representing a signal as a continuous function parameterized by neural network (a.k.a. Implicit Neural Representations, INRs) has attracted increasing attention in recent years. Neural Processes (NPs), which model the distributions over…

Machine Learning · Computer Science 2023-02-22 Zongyu Guo , Cuiling Lan , Zhizheng Zhang , Yan Lu , Zhibo Chen

The implicit theory that a simulation represents is precisely not in the individual choices but rather in the 'envelope' of possible trajectories - what is important is the shape of the whole envelope. Typically a huge amount of computation…

Programming Languages · Computer Science 2007-05-23 Oswaldo Teran , Bruce Edmonds , Steve Wallis

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

Machine Learning · Computer Science 2019-01-28 Xi Chen , Mike Hobson

We present an elastic simulator for domains defined as evolving implicit functions, which is efficient, robust, and differentiable with respect to both shape and material. This simulator is motivated by applications in 3D reconstruction: it…

Graphics · Computer Science 2025-04-09 Gilles Daviet , Tianchang Shen , Nicholas Sharp , David I. W. Levin

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

Implicit neural representations (INRs, also known as neural fields) have recently emerged as a powerful framework for knowledge representation, synthesis, and compression. By encoding fields as continuous functions within the weights and…

Machine Learning · Computer Science 2025-10-27 Jubilee Lee , Daniele E. Schiavazzi

Recent advances in implicit neural representations show great promise when it comes to generating numerical solutions to partial differential equations. Compared to conventional alternatives, such representations employ parameterized neural…

Machine Learning · Computer Science 2021-11-29 Jonas Zehnder , Yue Li , Stelian Coros , Bernhard Thomaszewski

Displaying high-quality images on edge devices, such as augmented reality devices, is essential for enhancing the user experience. However, these devices often face power consumption and computing resource limitations, making it challenging…

Image and Video Processing · Electrical Eng. & Systems 2024-06-10 Xiang Liu , Jiahong Chen , Bin Chen , Zimo Liu , Baoyi An , Shu-Tao Xia , Zhi Wang

Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

Optimization and Control · Mathematics 2024-12-12 Mengjia Zhu , Alberto Bemporad

Driven by the need to accelerate numerical simulations, the use of machine learning techniques is rapidly growing in the field of computational solid mechanics. Their application is especially advantageous in concurrent multiscale finite…

Numerical Analysis · Mathematics 2023-03-22 M. A. Maia , I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Implicit representations such as Neural Radiance Fields (NeRF) have been shown to be very effective at novel view synthesis. However, these models typically require manual and careful human data collection for training. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2023-12-25 Pierre Marza , Laetitia Matignon , Olivier Simonin , Dhruv Batra , Christian Wolf , Devendra Singh Chaplot

Implicit representation mapping (IRM) can translate image features to any continuous resolution, showcasing its potent capability for ultra-high-resolution image segmentation refinement. Current IRM-based methods for refining…

Computer Vision and Pattern Recognition · Computer Science 2024-08-01 Ziyu Zhao , Xiaoguang Li , Pingping Cai , Canyu Zhang , Song Wang

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez

There is currently a paradigm shift in several power system monitoring applications, such as incipient fault detection and monitoring inverter-based resources, to transition from traditional phasor analytics to more informative waveform…

Signal Processing · Electrical Eng. & Systems 2025-05-26 Narges Ehsani , Vishwanath Saragadam , Hamed Mohsenian-Rad

Bayesian inference in function space has gained attention due to its robustness against overparameterization in neural networks. However, approximating the infinite-dimensional function space introduces several challenges. In this work, we…

Machine Learning · Computer Science 2024-12-23 Sophie Steger , Christian Knoll , Bernhard Klein , Holger Fröning , Franz Pernkopf

Machine learning has enabled the use of implicit neural representations (INRs) to efficiently compress and reconstruct massive scientific datasets. However, despite advances in fast INR rendering algorithms, INR-based rendering remains…

Graphics · Computer Science 2025-05-22 Daniel Zavorotny , Qi Wu , David Bauer , Kwan-Liu Ma

$\textit{Implicit neural representations}$ (INRs) aim to learn a $\textit{continuous function}$ (i.e., a neural network) to represent an image, where the input and output of the function are pixel coordinates and RGB/Gray values,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Ke Liu , Feng Liu , Haishuai Wang , Ning Ma , Jiajun Bu , Bo Han

Implicit functions such as Neural Radiance Fields (NeRFs), occupancy networks, and signed distance functions (SDFs) have become pivotal in computer vision for reconstructing detailed object shapes from sparse views. Achieving optimal…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Anna Susmelj , Mael Macuglia , Nataša Tagasovska , Reto Sutter , Sebastiano Caprara , Jean-Philippe Thiran , Ender Konukoglu

Implicit representations are widely used for object reconstruction due to their efficiency and flexibility. In 2021, a novel structure named neural implicit map has been invented for incremental reconstruction. A neural implicit map…

Computer Vision and Pattern Recognition · Computer Science 2022-06-20 Yijun Yuan , Andreas Nuechter
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