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Automatic differentiation is involved for long in applied mathematics as an alternative to finite difference to improve the accuracy of numerical computation of derivatives. Each time a numerical minimization is involved, automatic…

Computational Finance · Quantitative Finance 2017-06-08 Sébastien Geeraert , Charles-Albert Lehalle , Barak Pearlmutter , Olivier Pironneau , Adil Reghai

Ptychography, a coherent diffraction imaging technique, has become an indispensable tool in materials characterization, biological imaging, and nanostructure analysis due to its capability for high-resolution, lensless reconstruction of…

Automatic differentiation (AD) has been a topic of interest for researchers in many disciplines, with increased popularity since its application to machine learning and neural networks. Although many researchers appreciate and know how to…

Programming Languages · Computer Science 2023-08-10 Birthe van den Berg , Tom Schrijvers , James McKinna , Alexander Vandenbroucke

Most nonlinear partial differential equation (PDE) solvers require the Jacobian matrix associated to the differential operator. In PETSc, this is typically achieved by either an analytic derivation or numerical approximation method such as…

Mathematical Software · Computer Science 2019-09-09 J. G. Wallwork , P. Hovland , H. Zhang , O. Marin

We present a novel approach for enhancing the resolution and geometric fidelity of 3D Gaussian Splatting (3DGS) beyond native training resolution. Current 3DGS methods are fundamentally limited by their input resolution, producing…

Graphics · Computer Science 2025-06-10 Shuja Khalid , Mohamed Ibrahim , Yang Liu

Autograd-based software packages have recently renewed interest in image registration using homography and other geometric models by gradient descent and optimization, e.g., AirLab and DRMIME. In this work, we emphasize on using complex…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Abhishek Nan , Matthew Tennant , Uriel Rubin , Nilanjan Ray

We develop nested automatic differentiation (AD) algorithms for exact inference and learning in integer latent variable models. Recently, Winner, Sujono, and Sheldon showed how to reduce marginalization in a class of integer latent variable…

Machine Learning · Statistics 2018-06-11 Daniel Sheldon , Kevin Winner , Debora Sujono

Image registration plays an important role in medical image analysis. Conventional optimization based methods provide an accurate estimation due to the iterative process at the cost of expensive computation. Deep learning methods such as…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Junshen Xu , Eric Z. Chen , Xiao Chen , Terrence Chen , Shanhui Sun

Image registration has traditionally been done using two distinct approaches: learning based methods, relying on robust deep neural networks, and optimization-based methods, applying complex mathematical transformations to warp images…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Gabriel De Araujo , Shanlin Sun , Xiaohui Xie

Vision-based autonomous driving shows great potential due to its satisfactory performance and low costs. Most existing methods adopt dense representations (e.g., bird's eye view) or sparse representations (e.g., instance boxes) for…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Wenzhao Zheng , Junjie Wu , Yao Zheng , Sicheng Zuo , Zixun Xie , Longchao Yang , Yong Pan , Zhihui Hao , Peng Jia , Xianpeng Lang , Shanghang Zhang

It is well-known in image processing that computational cost increases rapidly with the number and dimensions of the images to be processed. Several fields, such as medical imaging, routinely use numerous very large images, which might also…

Computer Vision and Pattern Recognition · Computer Science 2016-05-24 Fares Al-Qunaieer , Hamid R. Tizhoosh , Shahryar Rahnamayan

The use of hyperspectral imaging (HSI) in autonomous driving (AD), while promising, faces many challenges related to the specifics and requirements of this application domain. On the one hand, non-controlled and variable lighting…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Koldo Basterretxea , Jon Gutiérrez-Zaballa , Javier Echanobe

Self-supervised representation learning is heavily dependent on data augmentations to specify the invariances encoded in representations. Previous work has shown that applying diverse data augmentations is crucial to downstream performance,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Philip Andrew Mansfield , Arash Afkanpour , Warren Richard Morningstar , Karan Singhal

Differentiation along algorithms, i.e., piggyback propagation of derivatives, is now routinely used to differentiate iterative solvers in differentiable programming. Asymptotics is well understood for many smooth problems but the…

Optimization and Control · Mathematics 2022-06-02 Jérôme Bolte , Edouard Pauwels , Samuel Vaiter

Image quality databases are used to train models for predicting subjective human perception. However, most existing databases focus on distortions commonly found in digital media and not in natural conditions. Affine transformations are…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Paula Daudén-Oliver , David Agost-Beltran , Emilio Sansano-Sansano , Valero Laparra , Jesús Malo , Marina Martínez-Garcia

Anomaly detection (AD) has been extensively studied and applied in a wide range of scenarios in the recent past. However, there are still gaps between achieved and desirable levels of recognition accuracy for making AD for practical…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Peng Xing , Dong Zhang , Jinhui Tang , Zechao li

Anomaly detection (AD), separating anomalies from normal data, has many applications across domains, from security to healthcare. While most previous works were shown to be effective for cases with fully or partially labeled data, that…

Machine Learning · Computer Science 2022-08-08 Jinsung Yoon , Kihyuk Sohn , Chun-Liang Li , Sercan O. Arik , Chen-Yu Lee , Tomas Pfister

Anomaly detection (AD) is a task that distinguishes normal and abnormal data, which is important for applying automation technologies of the manufacturing facilities. For MVTec dataset that is a representative AD dataset for industrial…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Jongyub Seok , Chanjin Kang

Image registration is one important task in many image processing applications. It aims to align two or more images so that useful information can be extracted through comparison, combination or superposition. This is achieved by…

Numerical Analysis · Mathematics 2015-04-30 Mazlinda Ibrahim , Ke Chen , Carlos Brito-Loeza

Angular differential imaging (ADI) (Marois et al. 2006) is an observational technique in high contrast imaging where the telescope is used in pupil tracking mode so that the image of the sky rotates with respect to the optical surfaces.…

Earth and Planetary Astrophysics · Physics 2017-11-28 Michael Bottom , Garreth Ruane , Dimitri Mawet