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Model selection is a crucial issue in machine-learning and a wide variety of penalisation methods (with possibly data dependent complexity penalties) have recently been introduced for this purpose. However their empirical performance is…

机器学习 · 统计学 2012-12-11 Charanpal Dhanjal , Nicolas Baskiotis , Stéphan Clémençon , Nicolas Usunier

Given a high-dimensional covariate matrix and a response vector, ridge-regularized sparse linear regression selects a subset of features that explains the relationship between covariates and the response in an interpretable manner. To…

最优化与控制 · 数学 2026-02-13 Ryan Cory-Wright , Andrés Gómez

Many recent advances in machine learning are driven by a challenging trifecta: large data size $N$; high dimensions; and expensive algorithms. In this setting, cross-validation (CV) serves as an important tool for model assessment. Recent…

机器学习 · 统计学 2022-11-03 William T. Stephenson , Madeleine Udell , Tamara Broderick

We apply concepts from manifold regularization to develop new regularization techniques for training locally stable deep neural networks. Our regularizers are based on a sparsification of the graph Laplacian which holds with high…

机器学习 · 统计学 2020-09-24 Charles Jin , Martin Rinard

Many modern data analyses benefit from explicitly modeling dependence structure in data -- such as measurements across time or space, ordered words in a sentence, or genes in a genome. A gold standard evaluation technique is structured…

This paper addresses feature subset selection for Support Vector Machines (SVMs) based on the cross-validation criterion. Unlike statistical criteria such as the Akaike information criterion (AIC) and the Bayesian information criterion…

最优化与控制 · 数学 2026-05-11 Masaharu Mori , Shunnosuke Ikeda , Ryuta Tamura , Yuichi Takano , Ryuhei Miyashiro

In machine learning, statistics, econometrics and statistical physics, cross-validation (CV) is used asa standard approach in quantifying the generalisation performance of a statistical model. A directapplication of CV in time-series leads…

机器学习 · 统计学 2021-12-14 Mehmet Süzen , Alper Yegenoglu

Policy evaluation or value function or Q-function approximation is a key procedure in reinforcement learning (RL). It is a necessary component of policy iteration and can be used for variance reduction in policy gradient methods. Therefore…

机器学习 · 计算机科学 2017-10-17 Xinyan Yan , Krzysztof Choromanski , Byron Boots , Vikas Sindhwani

In this work we consider a generalized bilevel optimization framework for solving inverse problems. We introduce fractional Laplacian as a regularizer to improve the reconstruction quality, and compare it with the total variation…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Harbir Antil , Zichao Di , Ratna Khatri

In this paper we address the problem of learning robust cross-domain representations for sketch-based image retrieval (SBIR). While most SBIR approaches focus on extracting low- and mid-level descriptors for direct feature matching, recent…

计算机视觉与模式识别 · 计算机科学 2018-08-01 Dan Xu , Xavier Alameda-Pineda , Jingkuan Song , Elisa Ricci , Nicu Sebe

One of the prevailing trends in the machine- and deep-learning community is to gravitate towards the use of increasingly larger models in order to keep pushing the state-of-the-art performance envelope. This tendency makes access to the…

机器学习 · 计算机科学 2023-05-29 Shadi Sartipi , Edgar A. Bernal

We present a methodology for model evaluation and selection where the sampling mechanism violates the i.i.d. assumption. Our methodology involves a formulation of the bias between the standard Cross-Validation (CV) estimator and the mean…

统计方法学 · 统计学 2025-03-14 Oren Yuval , Saharon Rosset

Cross-validation assesses the predictive ability of a model, allowing one to rank models accordingly. Although the nonparametric bootstrap is almost always used to assess the variability of a parameter, it can be used as the basis for…

应用统计 · 统计学 2019-09-30 James Stephens Cavenaugh

We propose a novel deep learning method which combines classical regularization with data augmentation for estimating myelin water fraction (MWF) in the brain via biexponential analysis. Our aim is to design an accurate deep learning…

Cross-validation is one of the most popular model selection methods in statistics and machine learning. Despite its wide applicability, traditional cross validation methods tend to select overfitting models, due to the ignorance of the…

统计方法学 · 统计学 2017-12-25 Jing Lei

The aim of this paper is to introduce and study a two-step debiasing method for variational regularization. After solving the standard variational problem, the key idea is to add a consecutive debiasing step minimizing the data fidelity on…

数值分析 · 数学 2017-06-23 Eva-Maria Brinkmann , Martin Burger , Julian Rasch , Camille Sutour

This paper develops a method to obtain the optimal value for the regularization coefficient in a general mixed-integer problem (MIP). This approach eliminates the cross-validation performed in the existing penalty techniques to obtain a…

最优化与控制 · 数学 2020-08-05 Behrad Soleimani , Behzad Khamidehi , Maryam Sabbaghian

Few-shot learning algorithms aim to learn model parameters capable of adapting to unseen classes with the help of only a few labeled examples. A recent regularization technique - Manifold Mixup focuses on learning a general-purpose…

In the world of targeted learning, cross-validated targeted maximum likelihood estimators, CV-TMLE [Zheng:2010aa], has a distinct advantage over TMLE [Laan:2006aa] in that one less condition is required of CV-TMLE in order to achieve…

统计方法学 · 统计学 2018-11-14 Jonathan Levy

Continual learning (CL) is crucial for the adaptation of neural network models to new environments. Although outperforming weight-space regularisation approaches, the functional regularisation-based CL methods suffer from high computational…

机器学习 · 计算机科学 2025-08-19 Pengcheng Hao , Menghao Waiyan William Zhu , Ercan Engin Kuruoglu