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Lensless cameras based on thin diffusers offer a compact alternative to conventional refractive imaging but rely on computational reconstruction, since the diffuser's point spread function (PSF) globally multiplexes every scene point across…

Optics · Physics 2026-04-20 Kerem Ekec , Uğur Teğin

We propose a novel neural preconditioned Newton (NP-Newton) method for solving parametric nonlinear systems of equations. To overcome the stagnation or instability of Newton iterations caused by unbalanced nonlinearities, we introduce a…

Numerical Analysis · Mathematics 2025-11-13 Youngkyu Lee , Shanqing Liu , Jerome Darbon , George Em Karniadakis

Materials used in real clothing exhibit remarkable complexity and spatial variation due to common processes such as stitching, hemming, dyeing, printing, padding, and bonding. Simulating these materials, for instance using finite element…

Self-training techniques have shown remarkable value across many deep learning models and tasks. However, such techniques remain largely unexplored when considered in the context of learning fast solvers for systems of partial differential…

Machine Learning · Computer Science 2023-11-27 Ritam Majumdar , Amey Varhade , Shirish Karande , Lovekesh Vig

Neuro-fuzzy networks (NFNs) are transparent, symbolic, and universal function approximations that perform as well as conventional neural architectures, but their knowledge is expressed as linguistic IF-THEN rules. Despite these advantages,…

Machine Learning · Computer Science 2026-01-26 John Wesley Hostetter , Min Chi

Geological carbon sequestration (GCS) involves injecting CO$_2$ into subsurface geological formations for permanent storage. Numerical simulations could guide decisions in GCS projects by predicting CO$_2$ migration pathways and the…

Machine Learning · Computer Science 2024-09-26 Jonathan E. Lee , Min Zhu , Ziqiao Xi , Kun Wang , Yanhua O. Yuan , Lu Lu

We propose an extended Fourier neural operator (FNO) architecture for learning state and linear quadratic additive optimal control of systems governed by partial differential equations. Using the Ehrenpreis-Palamodov fundamental principle,…

Machine Learning · Computer Science 2026-04-08 Zhexian Li , Ketan Savla

Reconstruction of human clothing is an important task and often relies on intrinsic image decomposition. With a lack of domain-specific data and coarse evaluation metrics, existing models failed to produce satisfying results for graphics…

Computer Vision and Pattern Recognition · Computer Science 2021-11-17 Kuo Jiang , Zian Wang , Xiaodong Yang

Fine-grained object retrieval aims to learn discriminative representation to retrieve visually similar objects. However, existing top-performing works usually impose pairwise similarities on the semantic embedding spaces or design a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Shijie Wang , Jianlong Chang , Zhihui Wang , Haojie Li , Wanli Ouyang , Qi Tian

Interpolation for scattered data is a classical problem in numerical analysis, with a long history of theoretical and practical contributions. Recent advances have utilized deep neural networks to construct interpolators, exhibiting…

Machine Learning · Computer Science 2023-03-15 Shizhe Ding , Boyang Xia , Milong Ren , Dongbo Bu

Non-line-of-Sight (NLOS) imaging systems collect light at a diffuse relay surface and input this measurement into computational algorithms that output a 3D volumetric reconstruction. These algorithms utilize the Fast Fourier Transform (FFT)…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Talha Sultan , Alex Bocchieri , Chaoying Gu , Xiaochun Liu , Pavel Polynkin , Andreas Velten

3D reconstruction of dynamic scenes is a long-standing problem in computer graphics and increasingly difficult the less information is available. Shape-from-Template (SfT) methods aim to reconstruct a template-based geometry from RGB images…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 David Stotko , Nils Wandel , Reinhard Klein

Data assimilation (DA) is crucial for enhancing solutions to partial differential equations (PDEs), such as those in numerical weather prediction, by optimizing initial conditions using observational data. Variational DA methods are widely…

Machine Learning · Computer Science 2025-09-30 Hamidreza Moazzami , Asma Jamali , Nicholas Kevlahan , Rodrigo A. Vargas-Hernández

Neural operators have emerged as a powerful, data-driven paradigm for learning solution operators of partial differential equations (PDEs). State-of-the-art architectures, such as the Fourier Neural Operator (FNO), have achieved remarkable…

Machine Learning · Computer Science 2025-08-08 Saman Pordanesh , Pejman Shahsavari , Hossein Ghadjari

A Fourier neural operator (FNO) is one of the physics-inspired machine learning methods. In particular, it is a neural operator. In recent times, several types of neural operators have been developed, e.g., deep operator networks, Graph…

Machine Learning · Computer Science 2022-09-27 Taeyoung Kim , Myungjoo Kang

Fourier Neural Operators (FNO) are widely used for learning partial differential equation solution operators. However, FNO lacks architecture-aware optimizations,with its Fourier layers executing FFT, filtering, GEMM, zero padding, and iFFT…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-17 Shixun Wu , Yujia Zhai , Huangliang Dai , Hairui Zhao , Yue Zhu , Haiyang Hu , Zizhong Chen

Despite existing 3D cloth simulators producing realistic results, they predominantly operate on discrete surface representations (e.g. points and meshes) with a fixed spatial resolution, which often leads to large memory consumption and…

Graphics · Computer Science 2024-11-08 Navami Kairanda , Marc Habermann , Christian Theobalt , Vladislav Golyanik

The inclusion of high-fidelity simulations of SOL turbulence and transient MHD events such as ELMs in highly iterative applications remains computationally prohibitive, limiting their use in design and control workflows. Understanding these…

Existing physical cloth simulators suffer from expensive computation and difficulties in tuning mechanical parameters to get desired wrinkling behaviors. Data-driven methods provide an alternative solution. It typically synthesizes cloth…

Graphics · Computer Science 2021-08-29 Lan Chen , Juntao Ye , Xiaopeng Zhang

Recent research has focused on weight sparsity in deep neural network training to reduce FLOPs, aiming for improved efficiency (test accuracy w.r.t training FLOPs). However, sparse weight training often compromises accuracy, requiring…

Machine Learning · Computer Science 2024-07-19 Vithursan Thangarasa , Shreyas Saxena , Abhay Gupta , Sean Lie