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In high-dimensional classification problems, a commonly used approach is to first project the high-dimensional features into a lower dimensional space, and base the classification on the resulting lower dimensional projections. In this…

Statistics Theory · Mathematics 2025-08-05 Xin Bing , Marten Wegkamp

Feature selection aims to identify the most pattern-discriminative feature subset. In prior literature, filter (e.g., backward elimination) and embedded (e.g., Lasso) methods have hyperparameters (e.g., top-K, score thresholding) and tie to…

Machine Learning · Computer Science 2024-03-07 Wangyang Ying , Dongjie Wang , Haifeng Chen , Yanjie Fu

A central problem in machine learning and pattern recognition is the process of recognizing the most important features. In this paper, we provide a new feature selection method (DRPT) that consists of first removing the irrelevant features…

Machine Learning · Computer Science 2021-05-19 Majid Afshar , Hamid Usefi

Dimensionality reduction (DR) is often used as a preprocessing step in classification, but usually one first fixes the DR mapping, possibly using label information, and then learns a classifier (a filter approach). Best performance would be…

Machine Learning · Computer Science 2014-05-27 Weiran Wang , Miguel Á. Carreira-Perpiñán

This paper studies simultaneous feature selection and extraction in supervised and unsupervised learning. We propose and investigate selective reduced rank regression for constructing optimal explanatory factors from a parsimonious subset…

Methodology · Statistics 2016-10-27 Yiyuan She

Feature selection methods are widely used in order to solve the 'curse of dimensionality' problem. Many proposed feature selection frameworks, treat all data points equally; neglecting their different representation power and importance. In…

Machine Learning · Computer Science 2018-10-04 Ammar Gilani , Maryam Amirmazlaghani

We prove that, under low noise assumptions, the support vector machine with $N\ll m$ random features (RFSVM) can achieve the learning rate faster than $O(1/\sqrt{m})$ on a training set with $m$ samples when an optimized feature map is used.…

Machine Learning · Computer Science 2019-01-09 Yitong Sun , Anna Gilbert , Ambuj Tewari

Nonparametric feature selection in high-dimensional data is an important and challenging problem in statistics and machine learning fields. Most of the existing methods for feature selection focus on parametric or additive models which may…

Methodology · Statistics 2021-03-31 Hang Yu , Yuanjia Wang , Donglin Zeng

In recent years, deep metric learning has achieved promising results in learning high dimensional semantic feature embeddings where the spatial relationships of the feature vectors match the visual similarities of the images. Similarity…

Machine Learning · Computer Science 2019-09-25 Konstantin Schall , Kai Uwe Barthel , Nico Hezel , Klaus Jung

Finding semantic correspondences is a challenging problem. With the breakthrough of CNNs stronger features are available for tasks like classification but not specifically for the requirements of semantic matching. In the following we…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Nikolai Ufer , Kam To Lui , Katja Schwarz , Paul Warkentin , Björn Ommer

In this work, we study and analyze different feature selection algorithms that can be used to classify cancer subtypes in case of highly varying high-dimensional data. We apply three different feature selection methods on five different…

Machine Learning · Computer Science 2021-10-01 Vaibhav Sinha , Siladitya Dash , Nazma Naskar , Sk Md Mosaddek Hossain

Deep learning and Convolutional Neural Networks (CNNs) have driven major transformations in diverse research areas. However, their limitations in handling low-frequency information present obstacles in certain tasks like interpreting global…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Fuzhi Wu , Jiasong Wu , Youyong Kong , Chunfeng Yang , Guanyu Yang , Huazhong Shu , Guy Carrault , Lotfi Senhadji

Feature selection is essential for effective visual recognition. We propose an efficient joint classifier learning and feature selection method that discovers sparse, compact representations of input features from a vast sea of candidates,…

Computer Vision and Pattern Recognition · Computer Science 2015-12-03 Marius Leordeanu , Alexandra Radu , Shumeet Baluja , Rahul Sukthankar

Feature compression, as an important branch of video coding for machines (VCM), has attracted significant attention and exploration. However, the existing methods mainly focus on intra-feature similarity, such as the Mean Squared Error…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Changsheng Gao , Yiheng Jiang , Li Li , Dong Liu , Feng Wu

The selection of Gaussian kernel parameters plays an important role in the applications of support vector classification (SVC). A commonly used method is the k-fold cross validation with grid search (CV), which is extremely time-consuming…

Machine Learning · Computer Science 2025-01-22 Linkai Luo , Qiaoling Yang , Hong Peng , Yiding Wang , Ziyang Chen

Dimensionality reduction (DR) plays a vital role in the visual analysis of high-dimensional data. One main aim of DR is to reveal hidden patterns that lie on intrinsic low-dimensional manifolds. However, DR often overlooks important…

Machine Learning · Computer Science 2023-02-28 Takanori Fujiwara , Yun-Hsin Kuo , Anders Ynnerman , Kwan-Liu Ma

We give two provably accurate feature-selection techniques for the linear SVM. The algorithms run in deterministic and randomized time respectively. Our algorithms can be used in an unsupervised or supervised setting. The supervised…

Machine Learning · Statistics 2015-02-09 Saurabh Paul , Malik Magdon-Ismail , Petros Drineas

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 important in data representation and intelligent diagnosis. Elastic net is one of the most widely used feature selectors. However, the features selected are dependant on the training data, and their weights dedicated…

Machine Learning · Computer Science 2021-01-01 Shaode Yu , Haobo Chen , Hang Yu , Zhicheng Zhang , Xiaokun Liang , Wenjian Qin , Yaoqin Xie , Ping Shi

Random Fourier features provide a way to tackle large-scale machine learning problems with kernel methods. Their slow Monte Carlo convergence rate has motivated the research of deterministic Fourier features whose approximation error can…

Machine Learning · Computer Science 2021-10-20 Frederiek Wesel , Kim Batselier