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Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models,…

Methodology · Statistics 2018-04-10 German A. Schnaidt Grez , Brani Vidakovic

During the last decades, we have witnessed a surge of interests of learning a low-dimensional space with discriminative information from one single view. Even though most of them can achieve satisfactory performance in some certain…

Machine Learning · Computer Science 2019-05-21 Lin Feng , Xiangzhu Meng , Huibing Wang

In the literature, most existing graph-based semi-supervised learning (SSL) methods only use the label information of observed samples in the label propagation stage, while ignoring such valuable information when learning the graph. In this…

Computer Vision and Pattern Recognition · Computer Science 2017-02-14 Liansheng Zhuang , Zihan Zhou , Jingwen Yin , Shenghua Gao , Zhouchen Lin , Yi Ma , Nenghai Yu

This paper proposes a novel pixel-level distribution regularization scheme (DRSL) for self-supervised domain adaptation of semantic segmentation. In a typical setting, the classification loss forces the semantic segmentation model to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Javed Iqbal , Hamza Rawal , Rehan Hafiz , Yu-Tseh Chi , Mohsen Ali

In this paper, we study a fast approximation method for {\it large-scale high-dimensional} sparse least-squares regression problem by exploiting the Johnson-Lindenstrauss (JL) transforms, which embed a set of high-dimensional vectors into a…

Statistics Theory · Mathematics 2015-07-21 Tianbao Yang , Lijun Zhang , Qihang Lin , Rong Jin

This paper introduces a new unsupervised method for dimensionality reduction via regression (DRR). The algorithm belongs to the family of invertible transforms that generalize Principal Component Analysis (PCA) by using curvilinear instead…

Machine Learning · Statistics 2016-02-02 Valero Laparra , Jesus Malo , Gustau Camps-Valls

Regression that predicts continuous quantity is a central part of applications using computational imaging and computer vision technologies. Yet, studying and understanding self-supervised learning for regression tasks - except for a…

Image and Video Processing · Electrical Eng. & Systems 2022-05-11 Il Yong Chun , Dongwon Park , Xuehang Zheng , Se Young Chun , Yong Long

Many regression problems involve not one but several response variables (y's). Often the responses are suspected to share a common underlying structure, in which case it may be advantageous to share information across them; this is known as…

Machine Learning · Computer Science 2009-06-02 Brian Tomasik

Zero-shot learning (ZSL) for image classification focuses on recognizing novel categories that have no labeled data available for training. The learning is generally carried out with the help of mid-level semantic descriptors associated…

Computer Vision and Pattern Recognition · Computer Science 2019-03-29 Debasmit Das , C. S. George Lee

Relating a set of variables X to a response y is crucial in chemometrics. A quantitative prediction objective can be enriched by qualitative data interpretation, for instance by locating the most influential features. When high-dimensional…

Machine Learning · Statistics 2023-04-21 Louna Alsouki , Laurent Duval , Clément Marteau , Rami El Haddad , François Wahl

Modern high-dimensional methods often adopt the "bet on sparsity" principle, while in supervised multivariate learning statisticians may face "dense" problems with a large number of nonzero coefficients. This paper proposes a novel…

Machine Learning · Statistics 2022-02-10 Yiyuan She , Jiahui Shen , Chao Zhang

We propose a deep neural network (DNN) based least distance (LD) estimator (DNN-LD) for a multivariate regression problem, addressing the limitations of the conventional methods. Due to the flexibility of a DNN structure, both linear and…

Methodology · Statistics 2024-01-09 Jungmin Shin , Seung Jun Shin , Sungwan Bang

We consider object recognition in the context of lifelong learning, where a robotic agent learns to discriminate between a growing number of object classes as it accumulates experience about the environment. We propose an incremental…

Given a linear regression setting, Iterative Least Trimmed Squares (ILTS) involves alternating between (a) selecting the subset of samples with lowest current loss, and (b) re-fitting the linear model only on that subset. Both steps are…

Machine Learning · Computer Science 2019-11-13 Yanyao Shen , Sujay Sanghavi

Label Distribution Learning (LDL) is a novel machine learning paradigm that assigns label distribution to each instance. Many LDL methods proposed to leverage label correlation in the learning process to solve the exponential-sized output…

Machine Learning · Computer Science 2023-08-04 Zhiqiang Kou jing wang yuheng jia xin geng

The sparse representation classifier (SRC) has been utilized in various classification problems, which makes use of L1 minimization and works well for image recognition satisfying a subspace assumption. In this paper we propose a new…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Li Chen , Yuexiao Dong , Carey E. Priebe

We consider the problems of classification and intrinsic dimension estimation on image data. A new subspace based classifier is proposed for supervised classification or intrinsic dimension estimation. The distribution of the data in each…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Liang Liao , Stephen John Maybank

In this paper, we propose a novel approach to the rank minimization problem, termed rank residual constraint (RRC) model. Different from existing low-rank based approaches, such as the well-known nuclear norm minimization (NNM) and the…

Computer Vision and Pattern Recognition · Computer Science 2020-02-05 Zhiyuan Zha , Xin Yuan , Bihan Wen , Jiantao Zhou , Jiachao Zhang , Ce Zhu

Overfitting is one of the critical problems in deep neural networks. Many regularization schemes try to prevent overfitting blindly. However, they decrease the convergence speed of training algorithms. Adaptive regularization schemes can…

Machine Learning · Computer Science 2021-06-18 Mohammad Mahdi Bejani , Mehdi Ghatee

We establish a family of subspace-based learning method for multi-view learning using the least squares as the fundamental basis. Specifically, we investigate orthonormalized partial least squares (OPLS) and study its important properties…

Machine Learning · Computer Science 2020-07-13 Li Wang , Ren-Cang Li , Wen-Wei