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Feature subset selection arises in many high-dimensional applications of statistics, such as compressed sensing and genomics. The $\ell_0$ penalty is ideal for this task, the caveat being it requires the NP-hard combinatorial evaluation of…

Machine Learning · Statistics 2017-06-26 Anindya Bhadra , Jyotishka Datta , Nicholas G. Polson , Brandon Willard

In contrast to comparing faces via single exemplars, matching sets of face images increases robustness and discrimination performance. Recent image set matching approaches typically measure similarities between subspaces or manifolds, while…

Computer Vision and Pattern Recognition · Computer Science 2013-03-13 Conrad Sanderson , Mehrtash T. Harandi , Yongkang Wong , Brian C. Lovell

This paper proposes a novel face recognition algorithm based on large-scale supervised hierarchical feature learning. The approach consists of two parts: hierarchical feature learning and large-scale model learning. The hierarchical feature…

Computer Vision and Pattern Recognition · Computer Science 2014-07-08 Jianguo Li , Yurong Chen

We consider the problem of learning a sparse rule model, a prediction model in the form of a sparse linear combination of rules, where a rule is an indicator function defined over a hyper-rectangle in the input space. Since the number of…

Machine Learning · Statistics 2025-03-13 Hiroki Kato , Hiroyuki Hanada , Ichiro Takeuchi

Optimization-based filtering smoothes an image by minimizing a fidelity function and simultaneously preserves edges by exploiting a sparse norm penalty over gradients. It has obtained promising performance in practical problems, such as…

Graphics · Computer Science 2013-05-20 Chengxi Ye , Dacheng Tao , Mingli Song , David W. Jacobs , Min Wu

Enhancing low resolution images via super-resolution or image synthesis for cross-resolution face recognition has been well studied. Several image processing and machine learning paradigms have been explored for addressing the same. In this…

Computer Vision and Pattern Recognition · Computer Science 2018-02-23 Maneet Singh , Shruti Nagpal , Richa Singh , Mayank Vatsa , Angshul Majumdar

We examine in this paper the problem of image registration from the new perspective where images are given by sparse approximations in parametric dictionaries of geometric functions. We propose a registration algorithm that looks for an…

Computer Vision and Pattern Recognition · Computer Science 2013-12-31 Alhussein Fawzi , Pascal Frossard

In this paper we discuss an application of Stochastic Approximation to statistical estimation of high-dimensional sparse parameters. The proposed solution reduces to resolving a penalized stochastic optimization problem on each stage of a…

Machine Learning · Statistics 2022-10-25 Sasila Ilandarideva , Yannis Bekri , Anatoli Juditsky , Vianney Perchet

Human visual recognition is a sparse process, where only a few salient visual cues are attended to rather than traversing every detail uniformly. However, most current vision networks follow a dense paradigm, processing every single visual…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Ziteng Gao , Zhan Tong , Limin Wang , Mike Zheng Shou

We present a novel feature matching algorithm that systematically utilizes the geometric properties of features such as position, scale, and orientation, in addition to the conventional descriptor vectors. In challenging scenes with the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-23 Sehyung Lee , Jongwoo Lim , Il Hong Suh

In this paper, we review state-of-the-art methods for feature selection in statistics with an application-oriented eye. Indeed, sparsity is a valuable property and the profusion of research on the topic might have provided little guidance…

Methodology · Statistics 2021-11-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

In this paper, we present a new feature selection method that is suitable for both unsupervised and supervised problems. We build upon the recently proposed Infinite Feature Selection (IFS) method where feature subsets of all sizes…

Machine Learning · Computer Science 2017-08-22 Sadegh Eskandari , Emre Akbas

In high-dimensional linear regression, the goal pursued here is to estimate an unknown regression function using linear combinations of a suitable set of covariates. One of the key assumptions for the success of any statistical procedure in…

Statistics Theory · Mathematics 2015-03-13 Philippe Rigollet , Alexandre Tsybakov

Sparse support vector machine (SVM) is a popular classification technique that can simultaneously learn a small set of the most interpretable features and identify the support vectors. It has achieved great successes in many real-world…

Machine Learning · Statistics 2019-07-19 Weizhong Zhang , Bin Hong , Wei Liu , Jieping Ye , Deng Cai , Xiaofei He , Jie Wang

Face recognition remains a hot topic in computer vision, and it is challenging to tackle the problem that both the training and testing images are corrupted. In this paper, we propose a novel semi-supervised method based on the theory of…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Pei Xie , He-Feng Yin , Xiao-Jun Wu

Feature selection is the problem of selecting a subset of features for a machine learning model that maximizes model quality subject to a budget constraint. For neural networks, prior methods, including those based on $\ell_1$…

Machine Learning · Computer Science 2024-06-19 Taisuke Yasuda , MohammadHossein Bateni , Lin Chen , Matthew Fahrbach , Gang Fu , Vahab Mirrokni

Sparse representation based classification (SRC) has been proved to be a simple, effective and robust solution to face recognition. As it gets popular, doubts on the necessity of enforcing sparsity starts coming up, and primary experimental…

Computer Vision and Pattern Recognition · Computer Science 2014-03-07 Yang Wu , Vansteenberge Jarich , Masayuki Mukunoki , Michihiko Minoh

Despite the success of deep learning in video understanding tasks, processing every frame in a video is computationally expensive and often unnecessary in real-time applications. Frame selection aims to extract the most informative and…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Mingjun Zhao , Yakun Yu , Xiaoli Wang , Lei Yang , Di Niu

Face recognition is the important field in machine learning and pattern recognition research area. It has a lot of applications in military, finance, public security, to name a few. In this paper, the combination of the tensor sparse PCA…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Loc Hoang Tran , Linh Hoang Tran

We present a new approach to solve the sparse approximation or best subset selection problem, namely find a $k$-sparse vector ${\bf x}\in\mathbb{R}^d$ that minimizes the $\ell_2$ residual $\lVert A{\bf x}-{\bf y} \rVert_2$. We consider a…

Machine Learning · Computer Science 2021-06-21 Tal Amir , Ronen Basri , Boaz Nadler
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