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It is of great importance to preserve locality and similarity information in semi-supervised learning (SSL) based applications. Graph based SSL and manifold regularization based SSL including Laplacian regularization (LapR) and Hypergraph…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Xueqi Ma , Weifeng Liu , Shuying Li , Yicong Zhou

After intensive research, heterogenous face recognition is still a challenging problem. The main difficulties are owing to the complex relationship between heterogenous face image spaces. The heterogeneity is always tightly coupled with…

Computer Vision and Pattern Recognition · Computer Science 2014-06-06 Dong Yi , Zhen Lei , Shengcai Liao , Stan Z. Li

Deep Learning models based on heatmap regression have revolutionized the task of facial landmark localization with existing models working robustly under large poses, non-uniform illumination and shadows, occlusions and self-occlusions, low…

Computer Vision and Pattern Recognition · Computer Science 2021-11-04 Adrian Bulat , Enrique Sanchez , Georgios Tzimiropoulos

Despite the promising progress made in recent years, person re-identification (re-ID) remains a challenging task due to the complex variations in human appearances from different camera views. For this challenging problem, a large variety…

Computer Vision and Pattern Recognition · Computer Science 2017-05-02 Xun Yang , Meng Wang , Richang Hong , Qi Tian , Yong Rui

In the manifold setting, we provide a series of spectral convergence results quantifying how the eigenvectors and eigenvalues of the graph Laplacian converge to the eigenfunctions and eigenvalues of the Laplace-Beltrami operator in the…

Statistics Theory · Mathematics 2021-06-23 David B Dunson , Hau-Tieng Wu , Nan Wu

Heterogeneous Face Recognition (HFR) addresses the challenge of matching face images across different sensing modalities, such as thermal to visible or near-infrared to visible, expanding the applicability of face recognition systems in…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Anjith George , Sebastien Marcel

Recommendation algorithm plays an important role in recommendation system (RS), which predicts users' interests and preferences for some given items based on their known information. Recently, a recommendation algorithm based on the graph…

Information Retrieval · Computer Science 2023-07-06 Guangrui Yang , Lihua Yang , Qing Zhang , Zhihua Yang

The smallest eigenvalues and the associated eigenvectors (i.e., eigenpairs) of a graph Laplacian matrix have been widely used in spectral clustering and community detection. However, in real-life applications the number of clusters or…

Machine Learning · Computer Science 2018-01-26 Pin-Yu Chen , Baichuan Zhang , Mohammad Al Hasan

Because of the significant increase in size and complexity of the networks, the distributed computation of eigenvalues and eigenvectors of graph matrices has become very challenging and yet it remains as important as before. In this paper…

Numerical Analysis · Mathematics 2017-11-27 Konstantin Avrachenkov , Philippe Jacquet , Jithin Sreedharan

Even though face recognition in frontal view and normal lighting condition works very well, the performance degenerates sharply in extreme conditions. Recently there are many work dealing with pose and illumination problems, respectively.…

Computer Vision and Pattern Recognition · Computer Science 2016-07-13 Xiaoyue Jiang , Dong Zhang , Xiaoyi Feng

Face Recognition is most used for biometric user authentication that identifies a user based on his or her facial features. The system is in high demand, as it is used by many businesses and employed in many devices such as smartphones and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Kavan Adeshara , Vinayak Elangovan

This paper addresses the deep face recognition problem under an open-set protocol, where ideal face features are expected to have smaller maximal intra-class distance than minimal inter-class distance under a suitably chosen metric space.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Weiyang Liu , Yandong Wen , Bhiksha Raj , Rita Singh , Adrian Weller

Recognition of low resolution face images is a challenging problem in many practical face recognition systems. Methods have been proposed in the face recognition literature for the problem which assume that the probe is low resolution, but…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 Sumit Shekhar , Vishal M. Patel , Rama Chellappa

We focus in this work on the estimation of the first $k$ eigenvectors of any graph Laplacian using filtering of Gaussian random signals. We prove that we only need $k$ such signals to be able to exactly recover as many of the smallest…

Data Structures and Algorithms · Computer Science 2016-11-07 Johan Paratte , Lionel Martin

With the tremendous advancements in face recognition technology, face modality has been widely recognized as a significant biometric identifier in establishing a person's identity rather than any other biometric trait like fingerprints that…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Krishnendu K. S

Heterogeneous face recognition (HFR) refers to matching face images acquired from different sources (i.e., different sensors or different wavelengths) for identification. HFR plays an important role in both biometrics research and industry.…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Chunlei Peng , Xinbo Gao , Nannan Wang , Jie Li

Graph embedding seeks to build a low-dimensional representation of a graph G. This low-dimensional representation is then used for various downstream tasks. One popular approach is Laplacian Eigenmaps, which constructs a graph embedding…

Machine Learning · Computer Science 2020-03-10 Leo Torres , Kevin S Chan , Tina Eliassi-Rad

The development of simple and fast hypergraph spectral methods has been hindered by the lack of numerical algorithms for simulating heat diffusions and computing fundamental objects, such as Personalized PageRank vectors, over hypergraphs.…

Data Structures and Algorithms · Computer Science 2023-07-21 Konstantinos Ameranis , Antares Chen , Adela DePavia , Lorenzo Orecchia , Erasmo Tani

In many applications, one has side information, e.g., labels that are provided in a semi-supervised manner, about a specific target region of a large data set, and one wants to perform machine learning and data analysis tasks "nearby" that…

Machine Learning · Computer Science 2013-04-30 Toke J. Hansen , Michael W. Mahoney

The ability to learn good representations of states is essential for solving large reinforcement learning problems, where exploration, generalization, and transfer are particularly challenging. The Laplacian representation is a promising…

Machine Learning · Computer Science 2024-04-04 Diego Gomez , Michael Bowling , Marlos C. Machado