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We investigate the relation of two fundamental tools in machine learning and signal processing, that is the support vector machine (SVM) for classification, and the Lasso technique used in regression. We show that the resulting optimization…

机器学习 · 计算机科学 2014-04-28 Martin Jaggi

A multiple interval-valued linear regression model considering all the cross-relationships between the mids and spreads of the intervals has been introduced recently. A least-squares estimation of the regression parameters has been carried…

统计理论 · 数学 2016-02-09 Marta García Bárzana , Ana Colubi , Erricos John Kontoghiorghes

Assessing the importance of individual training samples is a key challenge in machine learning. Traditional approaches retrain models with and without specific samples, which is computationally expensive and ignores dependencies between…

机器学习 · 计算机科学 2024-12-18 Tim Wibiral , Mohamed Karim Belaid , Maximilian Rabus , Ansgar Scherp

With now well-recognized non-negligible model selection uncertainty, data analysts should no longer be satisfied with the output of a single final model from a model selection process, regardless of its sophistication. To improve…

统计方法学 · 统计学 2016-08-03 Chenglong Ye , Yi Yang , Yuhong Yang

In this paper we analyze boosting algorithms in linear regression from a new perspective: that of modern first-order methods in convex optimization. We show that classic boosting algorithms in linear regression, namely the incremental…

统计理论 · 数学 2015-05-19 Robert M. Freund , Paul Grigas , Rahul Mazumder

Reliable estimation of feature contributions in machine learning models is essential for trust, transparency and regulatory compliance, especially when models are proprietary or otherwise operate as black boxes. While permutation-based…

机器学习 · 统计学 2025-12-24 Albert Dorador

Many statistical methods have been proposed for variable selection in the past century, but few balance inference and prediction tasks well. Here we report on a novel variable selection approach called Penalized regression with…

统计方法学 · 统计学 2021-06-16 Yi Zuo , Thomas G. Stewart , Jeffrey D. Blume

Feature importance is commonly used to explain machine predictions. While feature importance can be derived from a machine learning model with a variety of methods, the consistency of feature importance via different methods remains…

计算与语言 · 计算机科学 2019-10-21 Vivian Lai , Jon Z. Cai , Chenhao Tan

Variable selection in sparse regression models is an important task as applications ranging from biomedical research to econometrics have shown. Especially for higher dimensional regression problems, for which the link function between…

机器学习 · 统计学 2019-12-10 Burim Ramosaj , Markus Pauly

A common problem in machine learning is determining if a variable significantly contributes to a model's prediction performance. This problem is aggravated for datasets, such as gene expression datasets, that suffer the worst case of…

统计方法学 · 统计学 2023-10-13 Yue Wu , Ted Spaide , Kenji Nakamichi , Russell Van Gelder , Aaron Lee

With increasing reliance on the outcomes of black-box models in critical applications, post-hoc explainability tools that do not require access to the model internals are often used to enable humans understand and trust these models. In…

Feature selection is critical in machine learning to reduce dimensionality and improve model accuracy and efficiency. The exponential growth in feature space dimensionality for modern datasets directly results in ambiguous samples and…

量子物理 · 物理学 2023-11-30 Haiyan Wang

Have you ever wondered how your feature space is impacting the prediction of a specific sample in your dataset? In this paper, we introduce Single Sample Feature Importance (SSFI), which is an interpretable feature importance algorithm that…

机器学习 · 计算机科学 2019-11-28 Joseph Gatto , Ravi Lanka , Yumi Iwashita , Adrian Stoica

Most accurate predictions are typically obtained by learning machines with complex feature spaces (as e.g. induced by kernels). Unfortunately, such decision rules are hardly accessible to humans and cannot easily be used to gain insights…

机器学习 · 统计学 2010-08-13 Alexander Zien , Nicole Kraemer , Soeren Sonnenburg , Gunnar Raetsch

We tested 14 very different classification algorithms (random forest, gradient boosting machines, SVM - linear, polynomial, and RBF - 1-hidden-layer neural nets, extreme learning machines, k-nearest neighbors and a bagging of knn, naive…

机器学习 · 计算机科学 2016-06-06 Jacques Wainer

This paper compares the performance of various data processing methods in terms of predictive performance for structured data. This paper also seeks to identify and recommend preprocessing methodologies for tree-based binary classification…

统计方法学 · 统计学 2023-02-27 Tosan Johnson , Alice J. Liu , Syed Raza , Aaron McGuire

Banks utilize credit scoring as an important indicator of financial strength and eligibility for credit. Scoring models aim to assign statistical odds or probabilities for predicting if there is a risk of nonpayment in relation to many…

风险管理 · 定量金融 2023-03-10 Oguz Koc , Omur Ugur , A. Sevtap Kestel

Machine learning optimization often depends on stochastic gradient descent, where the precision of gradient estimation is vital for model performance. Gradients are calculated from mini-batches formed by uniformly selecting data samples…

机器学习 · 计算机科学 2025-01-29 Corentin Salaün , Xingchang Huang , Iliyan Georgiev , Niloy J. Mitra , Gurprit Singh

Reinforcement learning with verifiable rewards (RLVR) has recently advanced the reasoning capabilities of large language models (LLMs). While prior work has emphasized algorithmic design, data curation, and reward shaping, we investigate…

机器学习 · 计算机科学 2025-07-10 Xinjie Chen , Minpeng Liao , Guoxin Chen , Chengxi Li , Biao Fu , Kai Fan , Xinggao Liu

For complex latent variable models, the likelihood function is not available in closed form. In this context, a popular method to perform parameter estimation is Importance Weighted Variational Inference. It essentially maximizes the…

统计理论 · 数学 2025-01-16 Badr-Eddine Cherief-Abdellatif , Randal Douc , Arnaud Doucet , Hugo Marival