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Classification is an important tool with many useful applications. Among the many classification methods, Fisher's Linear Discriminant Analysis (LDA) is a traditional model-based approach which makes use of the covariance information.…

Machine Learning · Statistics 2015-09-21 Qiyi Lu , Xingye Qiao

The classification of individual traffic participants is a complex task, especially for challenging scenarios with multiple road users or under bad weather conditions. Radar sensors provide an - with respect to well established camera…

Machine Learning · Computer Science 2019-05-28 Nicolas Scheiner , Nils Appenrodt , Jürgen Dickmann , Bernhard Sick

Ou et al. (2022) introduce the problem of learning set functions from data generated by a so-called optimal subset oracle. Their approach approximates the underlying utility function with an energy-based model, whose parameters are…

Machine Learning · Computer Science 2024-12-18 Gözde Özcan , Chengzhi Shi , Stratis Ioannidis

We introduce a novel nonlinear model, Sparse Adaptive Bottleneck Centroid-Encoder (SABCE), for determining the features that discriminate between two or more classes. The algorithm aims to extract discriminatory features in groups while…

Machine Learning · Computer Science 2023-06-12 Tomojit Ghosh , Michael Kirby

Linear discriminant analysis (LDA) is a powerful tool in building classifiers with easy computation and interpretation. Recent advancements in science technology have led to the popularity of datasets with high dimensions, high orders and…

Computation · Statistics 2019-04-09 Yuqing Pan , Qing Mai , Xin Zhang

We present a novel feature selection technique, Sparse Linear Centroid-Encoder (SLCE). The algorithm uses a linear transformation to reconstruct a point as its class centroid and, at the same time, uses the $\ell_1$-norm penalty to filter…

Machine Learning · Computer Science 2023-06-12 Tomojit Ghosh , Michael Kirby , Karim Karimov

This study develops a functional Liu-type shrinkage estimator (fLiu) for scalar-on-function regression in the presence of strong multicollinearity and high-dimensional functional predictors. The approach extends the classical Liu estimator…

Other Statistics · Statistics 2026-05-05 Shaista Ashraf , Stephen Becker , Farrukh Javed , Ismail Shah

Data acquisition, storage and management have been improved, while the key factors of many phenomena are not well known. Consequently, irrelevant and redundant features artificially increase the size of datasets, which complicates learning…

Machine Learning · Statistics 2017-04-05 Jean Golay , Michael Leuenberger , Mikhail Kanevski

Feature Selection is a crucial procedure in Data Science tasks such as Classification, since it identifies the relevant variables, making thus the classification procedures more interpretable, cheaper in terms of measurement and more…

Machine Learning · Statistics 2024-01-17 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

Anomaly detection is a fundamental yet challenging problem in machine learning due to the lack of label information. In this work, we propose a novel and powerful framework, dubbed as SLA$^2$P, for unsupervised anomaly detection. After…

Machine Learning · Computer Science 2021-11-29 Yizhou Wang , Can Qin , Rongzhe Wei , Yi Xu , Yue Bai , Yun Fu

This paper presents a new filter method for unsupervised feature selection. This method is particularly effective on imbalanced multi-class dataset, as in case of clusters of different anomaly types. Existing methods usually involve the…

Machine Learning · Statistics 2023-06-01 Katarina Firdova , Céline Labart , Arthur Martel

Most deep-learning-based image classification methods assume that all samples are generated under an independent and identically distributed (IID) setting. However, out-of-distribution (OOD) generalization is more common in practice, which…

Machine Learning · Computer Science 2022-02-24 Xin Guo , Zhengxu Yu , Chao Xiang , Zhongming Jin , Jianqiang Huang , Deng Cai , Xiaofei He , Xian-Sheng Hua

In this paper, we propose a novel method to select significant variables and estimate the corresponding coefficients in multiple-index models with a group structure. All existing approaches for single-index models cannot be extended…

Statistics Theory · Mathematics 2015-04-13 Tao Wang , Peirong Xu , Lixing Zhu

Consider a two-class classification problem where the number of features is much larger than the sample size. The features are masked by Gaussian noise with mean zero and covariance matrix $\Sigma$, where the precision matrix…

Machine Learning · Statistics 2013-11-21 Yingying Fan , Jiashun Jin , Zhigang Yao

In large-scale few-shot learning for classification problems, often there are a large number of classes and few high-dimensional observations per class. Previous model-based methods, such as Fisher's linear discriminant analysis (LDA),…

Methodology · Statistics 2025-04-16 Andrew Simpson , Semhar Michael

While shrinkage is essential in high-dimensional settings, its use for low-dimensional regression-based prediction has been debated. It reduces variance, often leading to improved prediction accuracy. However, it also inevitably introduces…

High-dimensional sparse modeling with censored survival data is of great practical importance, as exemplified by modern applications in high-throughput genomic data analysis and credit risk analysis. In this article, we propose a class of…

Methodology · Statistics 2014-03-19 Wei Lin , Jinchi Lv

Learning to rank with biased click data is a well-known challenge. A variety of methods has been explored to debias click data for learning to rank such as click models, result interleaving and, more recently, the unbiased learning-to-rank…

Information Retrieval · Computer Science 2018-04-25 Qingyao Ai , Keping Bi , Cheng Luo , Jiafeng Guo , W. Bruce Croft

It is well known that in a supervised classification setting when the number of features is smaller than the number of observations, Fisher's linear discriminant rule is asymptotically Bayes. However, there are numerous modern applications…

Machine Learning · Statistics 2014-09-17 Irina Gaynanova , James G. Booth , Martin T. Wells

The goal of feature selection is to choose the optimal subset of features for a recognition task by evaluating the importance of each feature, thereby achieving effective dimensionality reduction. Currently, proposed feature selection…

Machine Learning · Computer Science 2024-02-27 Zhenxing Zhang , Jun Ge , Zheng Wei , Chunjie Zhou , Yilei Wang
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