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We consider the projected semi-definite and Euclidean distance cones onto a subset of the matrix entries. These two sets are precisely the input data defining feasible semi-definite and Euclidean distance completion problems. We classify…

Optimization and Control · Mathematics 2015-01-12 D. Drusvyatskiy , G. Pataki , H. Wolkowicz

Over the past decade, there has been a steady advancement in enhancing face recognition algorithms leveraging advanced machine learning methods. The role of the loss function is pivotal in addressing face verification problems and playing a…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Pritesh Prakash , Koteswar Rao Jerripothula , Ashish Jacob Sam , Prinsh Kumar Singh , S Umamaheswaran

Recently, we have seen an increase in the global facial recognition market size. Despite significant advances in face recognition technology with the adoption of convolutional neural networks, there are still open challenges, such as when…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Marcus de Assis Angeloni , Helio Pedrini

We propose a novel numerical approach to compute the Pareto front in multivariate polynomial multi-objective optimization problems. When the objective functions and (equality) constraints are multivariate polynomials, the Pareto front,…

Optimization and Control · Mathematics 2026-04-06 Hans van Rooij , Christof Vermeersch , Marie Deferme , Bart De Moor

Face recognition under extreme head poses is a challenging task. Ideally, a face recognition system should perform well across different head poses, which is known as pose-invariant face recognition. To achieve pose invariance, current…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Patrik Mesec , Alan Jović

We study the Art Gallery Problem for face guards in polyhedral environments. The problem can be informally stated as: how many (not necessarily convex) windows should we place on the external walls of a dark building, in order to completely…

Computational Geometry · Computer Science 2014-04-22 Giovanni Viglietta

We present two parallel optimization algorithms for a convex function $f$. The first algorithm optimizes over linear inequality constraints in a Hilbert space, $\mathbb H$, and the second over a non convex polyhedron in $\mathbb R^n$. The…

Optimization and Control · Mathematics 2025-10-22 E. Dov Neimand , Serban Sabau

Generic face detection algorithms do not perform well in the mobile domain due to significant presence of occluded and partially visible faces. One promising technique to handle the challenge of partial faces is to design face detectors…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Upal Mahbub , Sayantan Sarkar , Rama Chellappa

Face-morphing attacks have been a cause for concern for a number of years. Striving to remain one step ahead of attackers, researchers have proposed many methods of both creating and detecting morphed images. These detection methods,…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Richard T. Marriott , Sami Romdhani , Stéphane Gentric , Liming Chen

Recognizing degraded faces from low resolution and blurred images are common yet challenging task. Local Frequency Descriptor (LFD) has been proved to be effective for this task yet it is extracted from a spatial neighborhood of a pixel of…

Computer Vision and Pattern Recognition · Computer Science 2012-10-04 Guangling Sun , Guoqing Li , Xinpeng Zhang

We propose a new first-order optimisation algorithm to solve high-dimensional non-smooth composite minimisation problems. Typical examples of such problems have an objective that decomposes into a non-smooth empirical risk part and a…

Optimization and Control · Mathematics 2015-07-07 Niao He , Zaid Harchaoui

Principle Component Analysis PCA is a classical feature extraction and data representation technique widely used in pattern recognition. It is one of the most successful techniques in face recognition. But it has drawback of high…

Computer Vision and Pattern Recognition · Computer Science 2012-06-26 Manal Abdullah , Majda Wazzan , Sahar Bo-saeed

This paper presents a comparative study of two different methods, which are based on fusion and polar transformation of visual and thermal images. Here, investigation is done to handle the challenges of face recognition, which include pose…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Mrinal Kanti Bhowmik , Debotosh Bhattacharjee , Dipak Kumar Basu , Mita Nasipuri

State-of-the-art face recognition algorithms are able to achieve good performance when sufficient training images are provided. Unfortunately, the number of facial images is limited in some real face recognition applications. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Guiying Zhang , Yuxin Cui , Yong Zhao , Jianjun Hu

Face detection is a computer vision application that increasingly demands lightweight models to facilitate deployment on devices with limited computational resources. Neural network pruning is a promising technique that can effectively…

Computer Vision and Pattern Recognition · Computer Science 2025-01-29 Nikolaos Kaparinos , Vasileios Mezaris

Let $P$ be a convex $d$-polytope and $0 \leq k \leq d-1$. In 2023, this author proved the following inequalities, resolving a question of B\'ar\'any: \[ \frac{f_k(P)}{f_0(P)} \geq \frac{1}{2}\biggl[{\lceil \frac{d}{2} \rceil \choose k} +…

Combinatorics · Mathematics 2024-01-30 Joshua Hinman

We presented a separation based optimization algorithm which, rather than optimization the entire variables altogether, This would allow us to employ: 1) a class of nonlinear functions with three variables and 2) a convex quadratic…

Computer Vision and Pattern Recognition · Computer Science 2015-12-09 Masoud Aghamohamadian-Sharbaf , Ahmadreza Heravi , Hamidreza Pourreza

The paper addresses the problem of optimizing a class of composite functions on Riemannian manifolds and a new first order optimization algorithm (FOA) with a fast convergence rate is proposed. Through the theoretical analysis for FOA, it…

Numerical Analysis · Computer Science 2015-12-08 Haoran Chen , Yanfeng Sun , Junbin Gao , Yongli Hu

Face recognition is an effective technology for identifying a target person by facial images. However, sensitive facial images raises privacy concerns. Although privacy-preserving face recognition is one of potential solutions, this…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Guotao Xu , Bowen Zhao , Yang Xiao , Yantao Zhong , Liang Zhai , Qingqi Pei

"Frontalization" is the process of synthesizing frontal facing views of faces appearing in single unconstrained photos. Recent reports have suggested that this process may substantially boost the performance of face recognition systems.…

Computer Vision and Pattern Recognition · Computer Science 2014-12-01 Tal Hassner , Shai Harel , Eran Paz , Roee Enbar