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Learning with few samples is a major challenge for parameter-rich models like deep networks. In contrast, people learn complex new concepts even from very few examples, suggesting that the sample complexity of learning can often be reduced.…

Machine Learning · Computer Science 2019-06-11 Roman Visotsky , Yuval Atzmon , Gal Chechik

The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

Statistics Theory · Mathematics 2012-02-24 Alois Kneip , Pascal Sarda

Probabilistic Regression Trees (PRTrees) generalize traditional decision trees by incorporating probability functions that associate each data point with different regions of the tree, providing smooth decisions and continuous responses.…

Methodology · Statistics 2025-10-07 Taiane Schaedler Prass , Alisson Silva Neimaier , Guilherme Pumi

The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression models such as feature regression and kernel regression and…

Machine Learning · Computer Science 2022-03-14 Björn Engquist , Kui Ren , Yunan Yang

Recovering a low-rank matrix from highly corrupted measurements arises in compressed sensing of structured high-dimensional signals (e.g., videos and hyperspectral images among others). Robust principal component analysis (RPCA), solved via…

Optimization and Control · Mathematics 2022-06-28 Vahan Hovhannisyan , Yannis Panagakis , Panos Parpas , Stefanos Zafeiriou

This work is devoted to the finite sample prediction risk analysis of a class of linear predictors of a response $Y\in \mathbb{R}$ from a high-dimensional random vector $X\in \mathbb{R}^p$ when $(X,Y)$ follows a latent factor regression…

Machine Learning · Statistics 2021-04-26 Xin Bing , Florentina Bunea , Seth Strimas-Mackey , Marten Wegkamp

We study the problem of choosing algorithm hyper-parameters in unsupervised domain adaptation, i.e., with labeled data in a source domain and unlabeled data in a target domain, drawn from a different input distribution. We follow the…

The all-relevant problem of feature selection is the identification of all strongly and weakly relevant attributes. This problem is especially hard to solve for time series classification and regression in industrial applications such as…

Machine Learning · Computer Science 2017-05-23 Maximilian Christ , Andreas W. Kempa-Liehr , Michael Feindt

The randomized-feature approach has been successfully employed in large-scale kernel approximation and supervised learning. The distribution from which the random features are drawn impacts the number of features required to efficiently…

Machine Learning · Statistics 2017-12-20 Shahin Shahrampour , Ahmad Beirami , Vahid Tarokh

The presence of irrelevant features in the input dataset tends to reduce the interpretability and predictive quality of machine learning models. Therefore, the development of feature selection methods to recognize irrelevant features is a…

Machine Learning · Statistics 2020-10-13 Federico Amato , Fabian Guignard , Philippe Jacquet , Mikhail Kanevski

We propose a new approach for sparse regression and marginal testing, for data with correlated features. Our procedure first clusters the features, and then chooses as the cluster prototype the most informative feature in that cluster. Then…

Methodology · Statistics 2015-03-16 Stephen Reid , Robert Tibshirani

In this paper, we propose a novel semi-supervised feature selection framework by mining correlations among multiple tasks and apply it to different multimedia applications. Instead of independently computing the importance of features for…

Machine Learning · Computer Science 2017-07-11 Xiaojun Chang , Yi Yang

Much more attention has been paid to unsupervised feature selection nowadays due to the emergence of massive unlabeled data. The distribution of samples and the latent effect of training a learning method using samples in more effective…

Machine Learning · Computer Science 2021-12-15 Weiyi Li , Hongmei Chen , Tianrui Li , Jihong Wan , Binbin Sang

Feature selection is a dimensionality reduction technique that selects a subset of representative features from high dimensional data by eliminating irrelevant and redundant features. Recently, feature selection combined with sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Siwei Feng , Marco F. Duarte

High-dimensional covariates often admit linear factor structure. To effectively screen correlated covariates in high-dimension, we propose a conditional variable screening test based on non-parametric regression using neural networks due to…

Econometrics · Economics 2024-08-21 Jianqing Fan , Weining Wang , Yue Zhao

This paper introduces algorithms to select/design kernels in Gaussian process regression/kriging surrogate modeling techniques. We adopt the setting of kernel method solutions in ad hoc functional spaces, namely Reproducing Kernel Hilbert…

Machine Learning · Statistics 2022-09-07 Jean-Luc Akian , Luc Bonnet , Houman Owhadi , Éric Savin

Semi-supervised learning (SSL) is an important theme in machine learning, in which we have a few labeled samples and many unlabeled samples. In this paper, for SSL in a regression problem, we consider a method of incorporating information…

Machine Learning · Computer Science 2024-11-20 Katsuyuki Hagiwara

Deep classifiers are known to rely on spurious features $\unicode{x2013}$ patterns which are correlated with the target on the training data but not inherently relevant to the learning problem, such as the image backgrounds when classifying…

Machine Learning · Computer Science 2022-10-21 Pavel Izmailov , Polina Kirichenko , Nate Gruver , Andrew Gordon Wilson

We present a novel approach to learn a kernel-based regression function. It is based on the useof conical combinations of data-based parameterized kernels and on a new stochastic convex optimization procedure of which we establish…

Machine Learning · Computer Science 2012-01-13 Pierre Machart , Thomas Peel , Liva Ralaivola , Sandrine Anthoine , Hervé Glotin

In this paper, a new descriptor selection method for selecting an optimal combination of important descriptors of sulfonamide derivatives data, named self tuned reweighted sampling (STRS), is developed. descriptors are defined as the…

Machine Learning · Computer Science 2014-02-24 Doreswamy , Chanabasayya M. Vastrad
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