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A characteristic feature of differential-algebraic equations is that one needs to find derivatives of some of their equations with respect to time, as part of so called index reduction or regularisation, to prepare them for numerical…

Numerical Analysis · Mathematics 2017-03-28 John D. Pryce , Nedialko S. Nedialkov , Guangning Tan , Xiao Li

Automated code generation allows for a separation between the development of a model, expressed via a domain specific language, and lower level implementation details. Algorithmic differentiation can be applied symbolically at the level of…

Programming Languages · Computer Science 2024-09-27 James R. Maddison

It has been recently shown that Generative Adversarial Networks (GANs) can produce synthetic images of exceptional visual fidelity. In this work, we propose the GAN-based method for automatic face aging. Contrary to previous works employing…

Computer Vision and Pattern Recognition · Computer Science 2017-05-31 Grigory Antipov , Moez Baccouche , Jean-Luc Dugelay

Combinatorial bandits extend the classical bandit framework to settings where the learner selects multiple arms in each round, motivated by applications such as online recommendation and assortment optimization. While extensions of upper…

Machine Learning · Computer Science 2025-10-29 Yuxiao Wen , Yanjun Han , Zhengyuan Zhou

Automatic differentiation (AD) in reverse mode (RAD) is a central component of deep learning and other uses of large-scale optimization. Commonly used RAD algorithms such as backpropagation, however, are complex and stateful, hindering deep…

Programming Languages · Computer Science 2018-10-03 Conal Elliott

Face recognition is one of the most popular and long-standing topics in computer vision. With the recent development of deep learning techniques and large-scale datasets, deep face recognition has made remarkable progress and been widely…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Hang Du , Hailin Shi , Dan Zeng , Xiao-Ping Zhang , Tao Mei

Certain facial parts are salient (unique) in appearance, which substantially contribute to the holistic recognition of a subject. Occlusion of these salient parts deteriorates the performance of face recognition algorithms. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2020-02-21 Samik Banerjee , Sukhendu Das

Studies in thermodynamics often require the reduction of some first or second order partial derivatives in terms of a smaller basic set. A simple algorithm to perform such a reduction is presented here, together with a review of earlier…

Computational Physics · Physics 2014-02-11 Jacques H. H. Perk

With the continuous development of deep learning in the field of image generation models, a large number of vivid forged faces have been generated and spread on the Internet. These high-authenticity artifacts could grow into a threat to…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Decheng Liu , Zhan Dang , Chunlei Peng , Yu Zheng , Shuang Li , Nannan Wang , Xinbo Gao

Existing face forgery detection methods usually treat face forgery detection as a binary classification problem and adopt deep convolution neural networks to learn discriminative features. The ideal discriminative features should be only…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Wanyi Zhuang , Qi Chu , Haojie Yuan , Changtao Miao , Bin Liu , Nenghai Yu

We develop a new method called affine facial reduction (FR) for recovering Slater's condition for semidefinite programming (SDP) relaxations of combinatorial optimization (CO) problems. Affine FR is a user-friendly method, as it is fully…

Optimization and Control · Mathematics 2025-11-05 Hao Hu , Boshi Yang

In this paper, we propose a novel algorithm for matching faces with temporal variations caused due to age progression. The proposed generative adversarial network algorithm is a unified framework that combines facial age estimation and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Daksha Yadav , Naman Kohli , Mayank Vatsa , Richa Singh , Afzel Noore

This paper explores a comparative study of both the linear and kernel implementations of three of the most popular Appearance-based Face Recognition projection classes, these being the methodologies of Principal Component Analysis, Linear…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Dhiresh R. Surajpal , Tshilidzi Marwala

The phase retrieval problem, where one aims to recover a complex-valued image from far-field intensity measurements, is a classic problem encountered in a range of imaging applications. Modern phase retrieval approaches usually rely on…

Image and Video Processing · Electrical Eng. & Systems 2021-03-03 Saugat Kandel , S. Maddali , Youssef S G Nashed , Stephan O Hruszkewycz , Chris Jacobsen , Marc Allain

In appropriate frameworks, automatic differentiation is transparent to the user at the cost of being a significant computational burden when the number of operations is large. For iterative algorithms, implicit differentiation alleviates…

Optimization and Control · Mathematics 2023-05-24 Jérôme Bolte , Edouard Pauwels , Samuel Vaiter

Automatic differentiation (AD), a technique for constructing new programs which compute the derivative of an original program, has become ubiquitous throughout scientific computing and deep learning due to the improved performance afforded…

Machine Learning · Computer Science 2023-01-10 Gaurav Arya , Moritz Schauer , Frank Schäfer , Chris Rackauckas

Face manipulation methods develop rapidly in recent years, whose potential risk to society accounts for the emerging of researches on detection methods. However, due to the diversity of manipulation methods and the high quality of fake…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Zehao Chen , Hua Yang

A very simple first-order algorithm is proposed for solving nonlinear optimization problems with deterministic nonlinear equality constraints. This algorithm adaptively selects steps in the plane tangent to the constraints or steps that…

Optimization and Control · Mathematics 2026-03-11 Serge Gratton , Philippe L. Toint

For scientific machine learning tasks with a lot of custom code, picking the right Automatic Differentiation (AD) system matters. Our Julia package DifferentiationInterface$.$jl provides a common frontend to a dozen AD backends, unlocking…

Mathematical Software · Computer Science 2025-05-19 Guillaume Dalle , Adrian Hill

Face Recognition (FR) systems can be easily deceived by adversarial examples that manipulate benign face images through imperceptible perturbations. Adversarial attacks on FR encompass two types: impersonation (targeted) attacks and dodging…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Fengfan Zhou , Qianyu Zhou , Bangjie Yin , Hui Zheng , Xuequan Lu , Lizhuang Ma , Hefei Ling