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This thesis responds to the challenges of using a large number, such as thousands, of features in regression and classification problems. There are two situations where such high dimensional features arise. One is when high dimensional…

Machine Learning · Statistics 2007-09-20 Longhai Li

The Hilbert Schmidt Independence Criterion (HSIC) is a kernel dependence measure that has applications in various aspects of machine learning. Conveniently, the objectives of different dimensionality reduction applications using HSIC often…

Machine Learning · Statistics 2019-09-12 Chieh Wu , Jared Miller , Yale Chang , Mario Sznaier , Jennifer Dy

Despite the availability of large amounts of genomics data, medical treatment recommendations have not successfully used them. In this paper, we consider the utility of high dimensional genomic-clinical data and nonparametric methods for…

Methodology · Statistics 2022-02-22 Zhongyuan Chen , Ziyi Wang , Qifan Song , Jun Xie

Motivated by the problem of identifying correlations between genes or features of two related biological systems, we propose a model of \emph{feature selection} in which only a subset of the predictors $X_t$ are dependent on the…

Applications · Statistics 2011-11-29 Charles Zheng , Scott Schwartz , Robert Chapkin , Raymond Carroll , Ivan Ivanov

Variable selection in high-dimensional space characterizes many contemporary problems in scientific discovery and decision making. Many frequently-used techniques are based on independence screening; examples include correlation ranking…

Methodology · Statistics 2008-12-18 Jianqing Fan , Richard Samworth , Yichao Wu

Hyperspectral data consists of large number of features which require sophisticated analysis to be extracted. A popular approach to reduce computational cost, facilitate information representation and accelerate knowledge discovery is to…

Machine Learning · Computer Science 2015-09-29 Phool Preet , Sanjit Singh Batra , Jayadeva

Hilbert-Schmidt Independence Criterion (HSIC) has recently been used in the field of single-index models to estimate the directions. Compared with some other well-established methods, it requires relatively weaker conditions. However, its…

Methodology · Statistics 2021-05-19 Runxiong Wu , Chang Deng , Xin Chen

Molecular data from tumor profiles is high dimensional. Tumor profiles can be characterized by tens of thousands of gene expression features. Due to the size of the gene expression feature set machine learning methods are exposed to noisy…

Machine Learning · Computer Science 2020-07-14 Martin Palazzo , Pierre Beauseroy , Patricio Yankilevich

High-dimensional data in many areas such as computer vision and machine learning tasks brings in computational and analytical difficulty. Feature selection which selects a subset from observed features is a widely used approach for…

Machine Learning · Computer Science 2018-04-10 Kai Han , Yunhe Wang , Chao Zhang , Chao Li , Chao Xu

High-dimensional feature selection arises in many areas of modern science. For example, in genomic research we want to find the genes that can be used to separate tissues of different classes (e.g. cancer and normal) from tens of thousands…

Computation · Statistics 2018-07-20 Longhai Li , Weixin Yao

We propose a new model-free feature screening method based on energy distances for ultrahigh-dimensional binary classification problems. With a high probability, the proposed method retains only relevant features after discarding all the…

Methodology · Statistics 2023-05-19 Sarbojit Roy , Soham Sarkar , Subhajit Dutta , Anil K. Ghosh

One main obstacle for the wide use of deep learning in medical and engineering sciences is its interpretability. While neural network models are strong tools for making predictions, they often provide little information about which features…

Machine Learning · Statistics 2021-12-06 Vu Dinh , Lam Si Tung Ho

In this paper, we demonstrate a surprising capability of large language models (LLMs): given only input feature names and a description of a prediction task, they are capable of selecting the most predictive features, with performance…

Machine Learning · Computer Science 2025-04-21 Daniel P. Jeong , Zachary C. Lipton , Pradeep Ravikumar

In this paper, we present a new feature selection method that is suitable for both unsupervised and supervised problems. We build upon the recently proposed Infinite Feature Selection (IFS) method where feature subsets of all sizes…

Machine Learning · Computer Science 2017-08-22 Sadegh Eskandari , Emre Akbas

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

Feature extraction and selection in the presence of nonlinear dependencies among the data is a fundamental challenge in unsupervised learning. We propose using a Gram-Schmidt (GS) type orthogonalization process over function spaces to…

Machine Learning · Computer Science 2025-07-16 Bahram Yaghooti , Netanel Raviv , Bruno Sinopoli

High-dimensional feature selection is a central problem in a variety of application domains such as machine learning, image analysis, and genomics. In this paper, we propose graph-based tests as a useful basis for feature selection. We…

Methodology · Statistics 2024-08-13 Swarnadip Ghosh , Somabha Mukherjee , Divyansh Agarwal , Yichen He , Mingzhi Song , Xuejiao Pei

The improved diagnostic accuracy of ultrasound breast examinations remains an important goal. In this study, we propose a biophysical feature based machine learning method for breast cancer detection to improve the performance beyond a…

Image and Video Processing · Electrical Eng. & Systems 2022-07-15 Jihye Baek , Avice M. O'Connell , Kevin J. Parker

Publicly available collections of drug-like molecules have grown to comprise 10s of billions of possibilities in recent history due to advances in chemical synthesis. Traditional methods for identifying "hit" molecules from a large…

Interpretable models can have advantages over black-box models, and interpretability is essential for the application of machine learning in critical settings, such as aviation or medicine. This article introduces the LASSO-Clip-EN (LCEN)…

Machine Learning · Computer Science 2025-12-02 Pedro Seber , Richard D. Braatz