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An algorithm is proposed for solving optimization problems arising in neural network training for supervised learning. The unique feature of the algorithm is the use of an auxiliary loss, in addition to the original loss employed for model…

最优化与控制 · 数学 2026-05-11 Yunlang Zhu , Lingjun Guo , Zahra Khatti , Xiaoyi Qu , Chia-Yuan Wu , Lara Zebiane , Frank E. Curtis

We derive information theoretic generalization bounds for supervised learning algorithms based on a new measure of leave-one-out conditional mutual information (loo-CMI). Contrary to other CMI bounds, which are black-box bounds that do not…

机器学习 · 计算机科学 2022-07-04 Mohamad Rida Rammal , Alessandro Achille , Aditya Golatkar , Suhas Diggavi , Stefano Soatto

Per-instance automated algorithm configuration and selection are gaining significant moments in evolutionary computation in recent years. Two crucial, sometimes implicit, ingredients for these automated machine learning (AutoML) methods are…

神经与进化计算 · 计算机科学 2023-01-25 Ana Nikolikj , Carola Doerr , Tome Eftimov

Penalized logistic regression methods are frequently used to investigate the relationship between a binary outcome and a set of explanatory variables. The model performance can be assessed by measures such as the concordance statistic…

统计方法学 · 统计学 2021-01-20 Angelika Geroldinger , Lara Lusa , Mariana Nold , Georg Heinze

At the forefront of state-of-the-art human alignment methods are preference optimization methods (*PO). Prior research has often concentrated on identifying the best-performing method, typically involving a grid search over hyperparameters,…

计算与语言 · 计算机科学 2025-04-30 Kian Ahrabian , Xihui Lin , Barun Patra , Vishrav Chaudhary , Alon Benhaim , Jay Pujara , Xia Song

In sparse regression modeling via regularization such as the lasso, it is important to select appropriate values of tuning parameters including regularization parameters. The choice of tuning parameters can be viewed as a model selection…

统计方法学 · 统计学 2012-01-05 Kei Hirose , Shohei Tateishi , Sadanori Konishi

Recently many regularized estimators of large covariance matrices have been proposed, and the tuning parameters in these estimators are usually selected via cross-validation. However, there is no guideline on the number of folds for…

统计方法学 · 统计学 2013-08-16 Yixin Fang , Binhuan Wang , Yang Feng

Popular machine learning estimators involve regularization parameters that can be challenging to tune, and standard strategies rely on grid search for this task. In this paper, we revisit the techniques of approximating the regularization…

机器学习 · 统计学 2019-05-28 Eugene Ndiaye , Tam Le , Olivier Fercoq , Joseph Salmon , Ichiro Takeuchi

Subject-exclusive cross-validation is the standard evaluation protocol for facial Action Unit (AU) detection, yet reported improvements are often small. We show that cross-validation itself introduces measurable stochastic variance. On…

计算机视觉与模式识别 · 计算机科学 2026-04-03 Saurabh Hinduja , Gurmeet Kaur , Maneesh Bilalpur , Jeffrey Cohn , Shaun Canavan

This paper explores the use of foundational large language models (LLMs) in hyperparameter optimization (HPO). Hyperparameters are critical in determining the effectiveness of machine learning models, yet their optimization often relies on…

机器学习 · 计算机科学 2024-11-12 Michael R. Zhang , Nishkrit Desai , Juhan Bae , Jonathan Lorraine , Jimmy Ba

Leave-one-out cross-validation (LOO) and the widely applicable information criterion (WAIC) are methods for estimating pointwise out-of-sample prediction accuracy from a fitted Bayesian model using the log-likelihood evaluated at the…

统计计算 · 统计学 2017-12-18 Aki Vehtari , Andrew Gelman , Jonah Gabry

The lasso and related sparsity inducing algorithms have been the target of substantial theoretical and applied research. Correspondingly, many results are known about their behavior for a fixed or optimally chosen tuning parameter specified…

统计理论 · 数学 2016-06-23 Darren Homrighausen , Daniel J. McDonald

Scoring rules are aimed at evaluation of the quality of predictions, but can also be used for estimation of parameters in statistical models. We propose estimating parameters of multivariate spatial models by maximising the average…

统计方法学 · 统计学 2024-08-23 Helga Kristin Olafsdottir , Holger Rootzén , David Bolin

Fast gradient-based optimization algorithms have become increasingly essential for the computationally efficient training of machine learning models. One technique is to multiply the gradient by a preconditioner matrix to produce a step,…

机器学习 · 计算机科学 2023-09-12 Isaac Liao , Rumen R. Dangovski , Jakob N. Foerster , Marin Soljačić

Lasso and other regularization procedures are attractive methods for variable selection, subject to a proper choice of shrinkage parameter. Given a set of potential subsets produced by a regularization algorithm, a consistent model…

统计方法学 · 统计学 2014-02-26 Minh-Ngoc Tran

We consider the most common variants of linear regression, including Ridge, Lasso and Support-vector regression, in a setting where the learner is allowed to observe only a fixed number of attributes of each example at training time. We…

机器学习 · 计算机科学 2015-03-19 Elad Hazan , Tomer Koren

One-class classification is a challenging subfield of machine learning in which so-called data descriptors are used to predict membership of a class based solely on positive examples of that class, and no counter-examples. A number of data…

机器学习 · 计算机科学 2021-06-01 Oliver Urs Lenz , Daniel Peralta , Chris Cornelis

The adaptive LASSO has been used for consistent variable selection in place of LASSO in the linear regression model. In this article, we propose a modified LARS algorithm to combine adaptive LASSO with some biased estimators, namely the…

统计方法学 · 统计学 2024-07-02 Manickavasagar Kayanan , Pushpakanthie Wijekoon

Gradient-based hyperparameter optimization (HPO) have emerged recently, leveraging bilevel programming techniques to optimize hyperparameter by estimating hypergradient w.r.t. validation loss. Nevertheless, previous theoretical works mainly…

机器学习 · 计算机科学 2026-02-23 Yubo Zhou , Jun Shu , Junmin Liu , Deyu Meng

Tuning hyperparameters of learning algorithms is hard because gradients are usually unavailable. We compute exact gradients of cross-validation performance with respect to all hyperparameters by chaining derivatives backwards through the…

机器学习 · 统计学 2015-04-03 Dougal Maclaurin , David Duvenaud , Ryan P. Adams