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In Hyperparameter Optimization (HPO), only the hyperparameter configuration with the best performance is chosen after performing several trials, then, discarding the effort of training all the models with every hyperparameter configuration…

Machine Learning · Computer Science 2024-02-05 Laura Fdez-Díaz , José Ramón Quevedo , Elena Montañés

We consider Bayesian online static parameter estimation for state-space models. This is a very important problem, but is very computationally challenging as the state- of-the art methods that are exact, often have a computational cost that…

Computation · Statistics 2015-03-03 Yan Zhou , Ajay Jasra

We consider \textit{anytime} linear prediction in the common machine learning setting, where features are in groups that have costs. We achieve anytime (or interruptible) predictions by sequencing the computation of feature groups and…

Machine Learning · Computer Science 2016-12-07 Hanzhang Hu , Alexander Grubb , J. Andrew Bagnell , Martial Hebert

Benign overfitting is well-characterized in $\ell_2$ geometries, but its behavior under the $\ell_1$ implicit bias of greedy ensembles remains challenging. The analytical barrier stems from the non-linear coupling of coordinate selection…

Machine Learning · Computer Science 2026-05-13 Ye Su , Jian Li , Yong Liu

We combine the fields of heuristic optimization and optimal stopping. We propose a strategy for benchmarking randomized optimization algorithms that minimizes the expected total cost for obtaining a good solution with an optimal number of…

Quantum Physics · Physics 2016-12-07 Walter Vinci , Daniel A. Lidar

Large reasoning models (LRMs) achieve state-of-the-art performance by generating long chains-of-thought, but often waste computation on redundant reasoning after the correct answer has already been reached. We introduce Early-Stopping for…

Artificial Intelligence · Computer Science 2026-02-11 Junda Wang , Zhichao Yang , Dongxu Zhang , Sanjit Singh Batra , Robert E. Tillman

We consider $L_2$Boosting, a special case of Friedman's generic boosting algorithm applied to linear regression under $L_2$-loss. We study $L_2$Boosting for an arbitrary regularization parameter and derive an exact closed form expression…

Statistics Theory · Mathematics 2012-07-24 John Ehrlinger , Hemant Ishwaran

We consider the estimation and inference in a system of high-dimensional regression equations allowing for temporal and cross-sectional dependency in covariates and error processes, covering rather general forms of weak temporal dependence.…

Econometrics · Economics 2020-05-18 Victor Chernozhukov , Wolfgang K. Härdle , Chen Huang , Weining Wang

Methods for neural network hyperparameter optimization and meta-modeling are computationally expensive due to the need to train a large number of model configurations. In this paper, we show that standard frequentist regression models can…

Machine Learning · Computer Science 2017-11-09 Bowen Baker , Otkrist Gupta , Ramesh Raskar , Nikhil Naik

In this work, we consider the algorithm to the (nonlinear) regression problems with $\ell_0$ penalty. The existing algorithms for $\ell_0$ based optimization problem are often carried out with a fixed step size, and the selection of an…

Machine Learning · Statistics 2021-11-23 Peili Li , Yuling Jiao , Xiliang Lu , Lican Kang

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

Methodology · Statistics 2016-01-15 Florencia Leonardi , Peter Bühlmann

We consider the problem of estimating complex statistical latent variable models using variational Bayes methods. These methods are used when exact posterior inference is either infeasible or computationally expensive, and they approximate…

Methodology · Statistics 2025-02-28 David Gunawan , David Nott , Robert Kohn

When a large language model under reinforcement learning commits a wrong reasoning step early in a trajectory, standard algorithms force it to keep generating until the maximum horizon, spending compute on tokens that never receive positive…

Machine Learning · Computer Science 2026-05-29 Zihang Li , Rui Zhou , Yingcheng Shi , Wenhan Yu , Zhewen Tan , Zixiang Liu , Zeming Li , Binhua Li , Yongbin Li , Tong Yang , Jieping Ye

We consider nonlinear mixed effects models including high-dimensional covariates to model individual parameters variability. The objective is to identify relevant covariates among a large set under sparsity assumption and to estimate model…

Statistics Theory · Mathematics 2025-08-06 Antoine Caillebotte , Estelle Kuhn , Sarah Lemler

Providing diagnostic feedback about growth is crucial to formative decisions such as targeted remedial instructions or interventions. This paper proposed a longitudinal higher-order diagnostic classification modeling approach for measuring…

Methodology · Statistics 2018-09-19 Peida Zhan , Hong Jiao , Dandan Liao

There is a recent surge of interest in designing deep architectures based on the update steps in traditional algorithms, or learning neural networks to improve and replace traditional algorithms. While traditional algorithms have certain…

Machine Learning · Computer Science 2020-06-11 Xinshi Chen , Hanjun Dai , Yu Li , Xin Gao , Le Song

Bayesian optimization (BO) is a widely popular approach for the hyperparameter optimization (HPO) in machine learning. At its core, BO iteratively evaluates promising configurations until a user-defined budget, such as wall-clock time or…

We study the fundamental problem of high-dimensional mean estimation in a robust model where a constant fraction of the samples are adversarially corrupted. Recent work gave the first polynomial time algorithms for this problem with…

Machine Learning · Computer Science 2018-11-26 Yu Cheng , Ilias Diakonikolas , Rong Ge

We develop a constructive approach to estimating sparse, high-dimensional linear regression models. The approach is a computational algorithm motivated from the KKT conditions for the $\ell_0$-penalized least squares solutions. It generates…

Computation · Statistics 2017-01-19 Jian Huang , Yuling Jiao , Yanyan Liu , Xiliang Lu

We present nonparametric algorithms for estimating optimal individualized treatment rules. The proposed algorithms are based on the XGBoost algorithm, which is known as one of the most powerful algorithms in the machine learning literature.…

Machine Learning · Statistics 2020-02-04 Duzhe Wang , Haoda Fu , Po-Ling Loh
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