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The intrinsically infinite-dimensional features of the functional observations over multidimensional domains render the standard classification methods effectively inapplicable. To address this problem, we introduce a novel multiclass…

Machine Learning · Computer Science 2023-05-25 Shuoyang Wang , Guanqun Cao

Partial Least Squares (PLS) refer to a class of dimension-reduction techniques aiming at the identification of two sets of components with maximal covariance, to model the relationship between two sets of observed variables…

Methodology · Statistics 2023-02-23 Lola Etievant , Vivian Viallon

This paper proposes a new method and algorithm for predicting multivariate responses in a regression setting. Research into classification of High Dimension Low Sample Size (HDLSS) data, in particular microarray data, has made considerable…

Methodology · Statistics 2008-07-28 Inge Koch , Kanta Naito

Sparsity-inducing penalties are useful tools for variable selection and they are also effective for regression settings where the data are functions. We consider the problem of selecting not only variables but also decision boundaries in…

Methodology · Statistics 2020-06-01 Hidetoshi Matsui

Multivariate functional data are becoming ubiquitous with advances in modern technology and are substantially more complex than univariate functional data. We propose and study a novel model for multivariate functional data where the…

Methodology · Statistics 2020-07-23 Cody Carroll , Hans-Georg Müller , Alois Kneip

Text classification is a very classic NLP task, but it has two prominent shortcomings: On the one hand, text classification is deeply domain-dependent. That is, a classifier trained on the corpus of one domain may not perform so well in…

Computation and Language · Computer Science 2022-10-28 Zilin Yuan , Yinghui Li , Yangning Li , Rui Xie , Wei Wu , Hai-Tao Zheng

In functional data analysis, functional linear regression has attracted significant attention recently. Herein, we consider the case where both the response and covariates are functions. There are two available approaches for addressing…

Methodology · Statistics 2021-09-28 Mauro Bernardi , Antonio Canale , Marco Stefanucci

We introduce a novel semi-supervised version of the least squares classifier. This implicitly constrained least squares (ICLS) classifier minimizes the squared loss on the labeled data among the set of parameters implied by all possible…

Machine Learning · Statistics 2015-07-27 Jesse H. Krijthe , Marco Loog

Most multilayer least squares (LS)-based neural networks are structured with two separate stages: unsupervised feature encoding and supervised pattern classification. Once the unsupervised learning is finished, the latent encoding would be…

Machine Learning · Computer Science 2021-03-04 Wandong Zhang , QM Jonathan Wu , Yimin Yang , WG Will Zhao , Tianlei Wang , Hui Zhang

We propose a computationally efficient and high-performance classification algorithm by incorporating class structural information in analysis dictionary learning. To achieve more consistent classification, we associate a class…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Wen Tang , Ashkan Panahi , Hamid Krim , Liyi Dai

Feature selection (FS) is a process which attempts to select more informative features. In some cases, too many redundant or irrelevant features may overpower main features for classification. Feature selection can remedy this problem and…

Machine Learning · Computer Science 2013-06-07 A. Nisthana Parveen , H. Hannah Inbarani , E. N. Sathishkumar

Issues concerning intelligent data analysis occurring in machine learning are investigated. A scheme for synthesizing correct supervised classification procedures is proposed. These procedures are focused on specifying partial order…

Discrete Mathematics · Computer Science 2019-07-23 Elena V. Djukova , Gleb O. Masliakov , Petr A. Prokofyev

Sparse Partial Least Squares (sPLS) is a common dimensionality reduction technique for data fusion, which projects data samples from two views by seeking linear combinations with a small number of variables with the maximum variance.…

Machine Learning · Computer Science 2023-08-15 Wenwen Min , Taosheng Xu , Chris Ding

Although much progress has been made in classification with high-dimensional features \citep{Fan_Fan:2008, JGuo:2010, CaiSun:2014, PRXu:2014}, classification with ultrahigh-dimensional features, wherein the features much outnumber the…

Machine Learning · Statistics 2016-11-14 Yanming Li , Hyokyoung Hong , Jian Kang , Kevin He , Ji Zhu , Yi Li

Segmentation of Multiple Sclerosis (MS) lesions in longitudinal brain MR scans is performed for monitoring the progression of MS lesions. We hypothesize that the spatio-temporal cues in longitudinal data can aid the segmentation algorithm.…

Image and Video Processing · Electrical Eng. & Systems 2020-09-29 Stefan Denner , Ashkan Khakzar , Moiz Sajid , Mahdi Saleh , Ziga Spiclin , Seong Tae Kim , Nassir Navab

As one of the most powerful tools for examining the association between functional covariates and a response, the functional regression model has been widely adopted in various interdisciplinary studies. Usually, a limited number of…

Methodology · Statistics 2025-01-07 Hanteng Ma , Ziliang Shen , Xingdong Feng , Xin Liu

Neural networks can be trained to solve regression problems by using gradient-based methods to minimize the square loss. However, practitioners often prefer to reformulate regression as a classification problem, observing that training on…

Machine Learning · Computer Science 2023-03-02 Lawrence Stewart , Francis Bach , Quentin Berthet , Jean-Philippe Vert

Prior work on plant species classification predominantly focuses on building models from isolated plant attributes. Hence, there is a need for tools that can assist in species identification in the natural world. We present a novel and…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Dewald Homan , Johan A. du Preez

We propose a multivariate functional responses low rank regression model with possible high dimensional functional responses and scalar covariates. By expanding the slope functions on a set of sieve basis, we reconstruct the basis…

Methodology · Statistics 2020-10-09 Xiucai Ding , Dengdeng Yu , Zhengwu Zhang , Dehan Kong

This paper presents a novel approach for multi-lingual sentiment classification in short texts. This is a challenging task as the amount of training data in languages other than English is very limited. Previously proposed multi-lingual…

Computation and Language · Computer Science 2017-03-08 Jan Deriu , Aurelien Lucchi , Valeria De Luca , Aliaksei Severyn , Simon Müller , Mark Cieliebak , Thomas Hofmann , Martin Jaggi