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In recent years many sparse linear discriminant analysis methods have been proposed for high-dimensional classification and variable selection. However, most of these proposals focus on binary classification and they are not directly…

Methodology · Statistics 2015-04-23 Qing Mai , Yi Yang , Hui Zou

There are existing standard solvers for tackling discrete optimization problems. However, in practice, it is uncommon to apply them directly to the large input space typical of this class of problems. Rather, the input is preprocessed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Bolarinwa Olayemi Saheed

One recent research demonstrated successful application of the label alignment property for unsupervised domain adaptation in a linear regression settings. Instead of regularizing representation learning to be domain invariant, the research…

Machine Learning · Computer Science 2025-03-13 Xuanrui Zeng

Partially-supervised learning can be challenging for segmentation due to the lack of supervision for unlabeled structures, and the methods directly applying fully-supervised learning could lead to incompatibility, meaning ground truth is…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Ke Zhang , Xiahai Zhuang

Recent studies utilize multiple kernel learning to deal with incomplete-data problem. In this study, we introduce new methods that do not only complete multiple incomplete kernel matrices simultaneously, but also allow control of the…

Machine Learning · Computer Science 2018-12-26 Rachelle Rivero , Tsuyoshi Kato

Recent advances in generic large models, such as GPT and DeepSeek, have motivated the introduction of universality to graph pre-training, aiming to learn rich and generalizable knowledge across diverse domains using graph representations to…

Machine Learning · Computer Science 2026-02-27 Lianze Shan , Jitao Zhao , Dongxiao He , Siqi Liu , Jiaxu Cui , Weixiong Zhang

This paper tackles the problem of selecting among several linear estimators in non-parametric regression; this includes model selection for linear regression, the choice of a regularization parameter in kernel ridge regression, spline…

Statistics Theory · Mathematics 2011-09-15 Sylvain Arlot , Francis Bach

We present a novel machine learning approach to understanding conformation dynamics of biomolecules. The approach combines kernel-based techniques that are popular in the machine learning community with transfer operator theory for…

Computational Physics · Physics 2019-01-24 Stefan Klus , Andreas Bittracher , Ingmar Schuster , Christof Schütte

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

We consider the problem of identifying patterns in a data set that exhibit anomalous behavior, often referred to as anomaly detection. Similarity-based anomaly detection algorithms detect abnormally large amounts of similarity or…

Computer Vision and Pattern Recognition · Computer Science 2016-07-26 Ko-Jen Hsiao , Kevin S. Xu , Jeff Calder , Alfred O. Hero

Latent Dirichlet Allocation (LDA) is a topic model widely used in natural language processing and machine learning. Most approaches to training the model rely on iterative algorithms, which makes it difficult to run LDA on big corpora that…

Machine Learning · Statistics 2020-10-23 Alexander Terenin , Måns Magnusson , Leif Jonsson , David Draper

Linear discriminant analysis (LDA) is an important classification tool in statistics and machine learning. This paper investigates the varying coefficient LDA model for dynamic data, with Bayes' discriminant direction being a function of…

Methodology · Statistics 2022-10-11 Yajie Bao , Yuyang Liu

In multi-task learning, labels are often missing irregularly across samples, which can be fully labeled, partially labeled or unlabeled. The irregular label presence often appears in scientific studies due to experimental limitations. It…

Machine Learning · Computer Science 2025-08-07 Mingqian Li , Qiao Han , Ruifeng Li , Yao Yang , Hongyang Chen

Unlike images and natural language tokens, time series data is highly semantically sparse, resulting in labor-intensive label annotations. Unsupervised and Semi-supervised Domain Adaptation (UDA and SSDA) have demonstrated efficiency in…

Machine Learning · Computer Science 2024-10-10 Gang Tu , Dan Li , Bingxin Lin , Zibin Zheng , See-Kiong Ng

Deep learning revolution happened thanks to the availability of a massive amount of labelled data which have contributed to the development of models with extraordinary inference capabilities. Despite the public availability of a large…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Jurandy Almeida , Cristiano Saltori , Paolo Rota , Nicu Sebe

Unsupervised domain adaptation (UDA) provides a strategy for improving machine learning performance in data-rich (target) domains where ground truth labels are inaccessible but can be found in related (source) domains. In cases where…

Machine Learning · Computer Science 2023-07-24 Garrett Wilson , Janardhan Rao Doppa , Diane J. Cook

3D action recognition was shown to benefit from a covariance representation of the input data (joint 3D positions). A kernel machine feed with such feature is an effective paradigm for 3D action recognition, yielding state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2017-10-05 Jacopo Cavazza , Pietro Morerio , Vittorio Murino

In this paper, we focus on subspace-based learning problems, where data elements are linear subspaces instead of vectors. To handle this kind of data, Grassmann kernels were proposed to measure the space structure and used with classifiers,…

Machine Learning · Computer Science 2018-06-19 Junyuan Hong , Huanhuan Chen , Feng Lin

This paper introduces Exact Linear Attention (ELA), a mechanism that achieves linear computational complexity for Transformer attention by exploiting the exact decomposition property of kernel functions, thereby eliminating approximation…

Machine Learning · Computer Science 2026-05-21 Weinuo Ou

Existed pre-trained models have achieved state-of-the-art performance on various text classification tasks. These models have proven to be useful in learning universal language representations. However, the semantic discrepancy between…

Machine Learning · Computer Science 2022-01-07 Jinhe Lan , Qingyuan Zhan , Chenhao Jiang , Kunping Yuan , Desheng Wang