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We propose a flexible nonparametric regression method for ultrahigh-dimensional data. As a first step, we propose a fast screening method based on the favored smoothing bandwidth of the marginal local constant regression. Then, an iterative…

Methodology · Statistics 2018-07-30 Yang Feng , Yichao Wu , Leonard Stefanski

Filter or screening methods are often used as a preprocessing step for reducing the number of variables used by a learning algorithm in obtaining a classification or regression model. While there are many such filter methods, there is a…

Machine Learning · Statistics 2019-09-13 Mingyuan Wang , Adrian Barbu

We present a novel feature matching algorithm that systematically utilizes the geometric properties of features such as position, scale, and orientation, in addition to the conventional descriptor vectors. In challenging scenes with the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-23 Sehyung Lee , Jongwoo Lim , Il Hong Suh

We study the problem of variable selection in convex nonparametric regression. Under the assumption that the true regression function is convex and sparse, we develop a screening procedure to select a subset of variables that contains the…

Statistics Theory · Mathematics 2014-11-19 Min Xu , Minhua Chen , John Lafferty

Decision making or scientific discovery pipelines such as job hiring and drug discovery often involve multiple stages: before any resource-intensive step, there is often an initial screening that uses predictions from a machine learning…

Methodology · Statistics 2023-05-30 Ying Jin , Emmanuel J. Candès

Feature Learning aims to extract relevant information contained in data sets in an automated fashion. It is driving force behind the current deep learning trend, a set of methods that have had widespread empirical success. What is lacking…

Machine Learning · Statistics 2015-04-02 Brendan van Rooyen , Robert C. Williamson

Feature selection is a preprocessing step which plays a crucial role in the domain of machine learning and data mining. Feature selection methods have been shown to be effctive in removing redundant and irrelevant features, improving the…

Machine Learning · Computer Science 2021-06-01 Xiongshi Deng , Min Li , Lei Wang , Qikang Wan

Both in the domains of Feature Selection and Interpretable AI, there exists a desire to `rank' features based on their importance. Such feature importance rankings can then be used to either: (1) reduce the dataset size or (2) interpret the…

Machine Learning · Computer Science 2022-07-12 Jeroen G. S. Overschie

Feature selection is popular for obtaining small, interpretable, yet highly accurate prediction models. Conventional feature-selection methods typically yield one feature set only, which might not suffice in some scenarios. For example,…

Machine Learning · Computer Science 2025-02-07 Jakob Bach

Relevant and high-quality data are critical to successful development of machine learning applications. For machine learning applications on dynamic systems equipped with a large number of sensors, such as connected vehicles and robots, how…

Machine Learning · Computer Science 2021-08-31 Alp Sahin , Xiangrui Zeng

Building upon the Chatterjee correlation (2021: J. Am. Stat. Assoc. 116, p2009) for two real-valued variables, this study introduces a generalized measure of directed association between two vector variables, real or complex-valued, and of…

Methodology · Statistics 2024-06-26 Roberto D. Pascual-Marqui , Kieko Kochi , Toshihiko Kinoshita

In this paper, we consider feature screening for ultrahigh dimensional clustering analyses. Based on the observation that the marginal distribution of any given feature is a mixture of its conditional distributions in different clusters, we…

Methodology · Statistics 2024-02-05 Changhu Wang , Zihao Chen , Ruibin Xi

Two popular variable screening methods under the ultra-high dimensional setting with the desirable sure screening property are the sure independence screening (SIS) and the forward regression (FR). Both are classical variable screening…

Methodology · Statistics 2015-11-05 Ming-Yen Cheng , Sanying Feng , Gaorong Li , Heng Lian

There exist many high-dimensional data in real-world applications such as biology, computer vision, and social networks. Feature selection approaches are devised to confront with high-dimensional data challenges with the aim of efficient…

Machine Learning · Computer Science 2021-06-22 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

Feature selection is an important process in machine learning and knowledge discovery. By selecting the most informative features and eliminating irrelevant ones, the performance of learning algorithms can be improved and the extraction of…

Machine Learning · Computer Science 2024-01-17 Chunxu Cao , Qiang Zhang

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

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

We examine the linear regression problem in a challenging high-dimensional setting with correlated predictors where the vector of coefficients can vary from sparse to dense. In this setting, we propose a combination of probabilistic…

Methodology · Statistics 2025-05-13 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

Variable selection is a procedure to attain the truly important predictors from inputs. Complex nonlinear dependencies and strong coupling pose great challenges for variable selection in high-dimensional data. In addition, real-world…

Methodology · Statistics 2023-07-04 Keyao Wang , Huiwen Wang , Jichang Zhao , Lihong Wang

In this paper, we investigate score function-based tests to check the significance of an ultrahigh-dimensional sub-vector of the model coefficients when the nuisance parameter vector is also ultrahigh-dimensional in linear models. We first…

Methodology · Statistics 2024-11-12 Weichao Yang , Xu Guo , Lixing Zhu
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