A Survey of L1 Regression

D Vidaurre, C Bielza… - International Statistical …, 2013 - Wiley Online Library
L1 regularization, or regularization with an L1 penalty, is a popular idea in statistics and
machine learning. This paper reviews the concept and application of L1 regularization for …

Alzheimer's disease diagnosis from single and multimodal data using machine and deep learning models: Achievements and future directions

A Elazab, C Wang, M Abdelaziz, J Zhang, J Gu… - Expert Systems with …, 2024 - Elsevier
Alzheimer's Disease (AD) is the most prevalent and rapidly progressing neurodegenerative
disorder among the elderly and is a leading cause of dementia. AD results in significant …

Stable learning via sample reweighting

Z Shen, P Cui, T Zhang, K Kunag - … of the AAAI Conference on Artificial …, 2020 - ojs.aaai.org
We consider the problem of learning linear prediction models with model misspecification
bias. In such case, the collinearity among input variables may inflate the error of parameter …

A survey on sparse learning models for feature selection

X Li, Y Wang, R Ruiz - IEEE transactions on cybernetics, 2020 - ieeexplore.ieee.org
Feature selection is important in both machine learning and pattern recognition.
Successfully selecting informative features can significantly increase learning accuracy and …

Trace lasso: a trace norm regularization for correlated designs

E Grave, GR Obozinski, F Bach - Advances in neural …, 2011 - proceedings.neurips.cc
Abstract Using the $\ell_1 $-norm to regularize the estimation of the parameter vector of a
linear model leads to an unstable estimator when covariates are highly correlated. In this …

Sparse Prediction with the -Support Norm

A Argyriou, R Foygel, N Srebro - Advances in Neural …, 2012 - proceedings.neurips.cc
We derive a novel norm that corresponds to the tightest convex relaxation of sparsity
combined with an $\ell_2 $ penalty. We show that this new norm provides a tighter …

[PDF][PDF] 正则化稀疏模型

刘建伟, 崔立鹏, 刘泽宇, 罗雄麟 - 计算机学报, 2015 - cjc.ict.ac.cn
摘要正则化稀疏模型在机器学习和图像处理等领域发挥着越来越重要的作用,
它具有变量选择功能, 可以解决建模中的过拟合等问题. Tibshirani 提出的Lasso …

Adaptive and weighted collaborative representations for image classification

R Timofte, L Van Gool - Pattern Recognition Letters, 2014 - Elsevier
Abstract Recently, Zhang et al.(2011) proposed a classifier based on Collaborative
Representations (CR) with Regularized Least Squares (CRC-RLS) for image face …

Weighted elastic net penalized mean-variance portfolio design and computation

M Ho, Z Sun, J Xin - SIAM Journal on Financial Mathematics, 2015 - SIAM
It is well known that the out-of-sample performance of Markowitz's mean-variance portfolio
criterion can be negatively affected by estimation errors in the mean and covariance. In this …

Estimating the error variance in a high-dimensional linear model

G Yu, J Bien - Biometrika, 2019 - academic.oup.com
The lasso has been studied extensively as a tool for estimating the coefficient vector in the
high-dimensional linear model; however, considerably less is known about estimating the …