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Functional linear regression analysis aims to model regression relations which include a functional predictor. The analog of the regression parameter vector or matrix in conventional multivariate or multiple-response linear regression…

Statistics Theory · Mathematics 2011-02-28 Yichao Wu , Jianqing Fan , Hans-Georg Müller

Non-linear least squares solvers are used across a broad range of offline and real-time model fitting problems. Most improvements of the basic Gauss-Newton algorithm tackle convergence guarantees or leverage the sparsity of the underlying…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Huu Le , Christopher Zach , Edward Rosten , Oliver J. Woodford

Using representations of functional data can be more convenient and beneficial in subsequent statistical models than direct observations. These representations, in a lower-dimensional space, extract and compress information from individual…

Machine Learning · Statistics 2022-06-24 Haixu Wang , Jiguo Cao

Limited annotated data available for the recognition of facial expression and action units embarrasses the training of deep networks, which can learn disentangled invariant features. However, a linear model with just several parameters…

Computer Vision and Pattern Recognition · Computer Science 2017-01-16 Xiang Xiang , Trac D. Tran

Linear regression is a fundamental and primitive problem in supervised machine learning, with applications ranging from epidemiology to finance. In this work, we propose methods for speeding up distributed linear regression. We do so by…

Information Theory · Computer Science 2024-04-02 Neophytos Charalambides , Hessam Mahdavifar , Mert Pilanci , Alfred O. Hero

The model of low-dimensional manifold and sparse representation are two well-known concise models that suggest each data can be described by a few characteristics. Manifold learning is usually investigated for dimension reduction by…

Computer Vision and Pattern Recognition · Computer Science 2016-03-22 Xi Peng , Lei Zhang , Zhang Yi , Kok Kiong Tan

Visual tracking fundamentally involves regressing the state of the target in each frame of a video. Despite significant progress, existing regression-based trackers still tend to experience failures and inaccuracies. To enhance the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Zhuang Qi , Junlin Zhang , Xin Qi

This paper introduces a robust estimation strategy for the spatial functional linear regression model using dimension reduction methods, specifically functional principal component analysis (FPCA) and functional partial least squares…

Methodology · Statistics 2024-10-28 Ufuk Beyaztas , Abhijit Mandal , Han Lin Shang

Face detection has achieved great success using the region-based methods. In this report, we propose a region-based face detector applying deep networks in a fully convolutional fashion, named Face R-FCN. Based on Region-based Fully…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Yitong Wang , Xing Ji , Zheng Zhou , Hao Wang , Zhifeng Li

In specific scenarios, face sketch can be used to identify a person. However, drawing a face sketch often requires exceptional skill and is time-consuming, limiting its widespread applications in actual scenarios. The new framework of…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Liang Wang , Dawei Dai , Shiyu Fu , Guoyin Wang

Despite the recent success of convolutional neural networks for computer vision applications, unconstrained face recognition remains a challenge. In this work, we make two contributions to the field. Firstly, we consider the problem of face…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Daniel Sáez Trigueros , Li Meng , Margaret Hartnett

Pre-trained representation is one of the key elements in the success of modern deep learning. However, existing works on continual learning methods have mostly focused on learning models incrementally from scratch. In this paper, we explore…

Machine Learning · Computer Science 2022-08-18 Hyounguk Shon , Janghyeon Lee , Seung Hwan Kim , Junmo Kim

Face alignment, which is the task of finding the locations of a set of facial landmark points in an image of a face, is useful in widespread application areas. Face alignment is particularly challenging when there are large variations in…

Computer Vision and Pattern Recognition · Computer Science 2016-10-25 Oncel Tuzel , Tim K. Marks , Salil Tambe

In this work, we use facial landmarks to make the deformation for facial images more authentic. The deformation includes the expansion of eyes and the shrinking of noses, mouths, and cheeks. An advanced 106-point facial landmark detector is…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Chaoyue Song , Yugang Chen , Shulai Zhang , Bingbing Ni

The goal of continual learning (CL) is to train a model that can solve multiple tasks presented sequentially. Recent CL approaches have achieved strong performance by leveraging large pre-trained models that generalize well to downstream…

Machine Learning · Computer Science 2025-05-20 Liangzu Peng , Juan Elenter , Joshua Agterberg , Alejandro Ribeiro , René Vidal

The click-based interactive segmentation aims to extract the object of interest from an image with the guidance of user clicks. Recent work has achieved great overall performance by employing feedback from the output. However, in most…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Shoukun Sun , Min Xian , Fei Xu , Luca Capriotti , Tiankai Yao

In this paper, we present a deep regression approach for face alignment. The deep architecture consists of a global layer and multi-stage local layers. We apply the back-propagation algorithm with the dropout strategy to jointly optimize…

Computer Vision and Pattern Recognition · Computer Science 2014-09-19 Baoguang Shi , Xiang Bai , Wenyu Liu , Jingdong Wang

Deriving an effective facial expression recognition component is important for a successful human-computer interaction system. Nonetheless, recognizing facial expression remains a challenging task. This paper describes a novel approach…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Mundher Al-Shabi , Wooi Ping Cheah , Tee Connie

Traditional functional linear regression usually takes a one-dimensional functional predictor as input and estimates the continuous coefficient function. Modern applications often generate two-dimensional covariates, which become matrices…

Methodology · Statistics 2024-11-26 Dan Yang , Jianlong Shao , Haipeng Shen , Hongtu Zhu

Modern object detectors take advantage of rectangular bounding boxes as a conventional way to represent objects. When it comes to fisheye images, rectangular boxes involve more background noise rather than semantic information. Although…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Xihan Wang , Xi Xu , Yu Gao , Yi Yang , Yufeng Yue , Mengyin Fu
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