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We develop new stochastic gradient methods for efficiently solving sparse linear regression in a partial attribute observation setting, where learners are only allowed to observe a fixed number of actively chosen attributes per example at…

Optimization and Control · Mathematics 2018-12-04 Tomoya Murata , Taiji Suzuki

Low-rank Adaption (LoRA) has been the de-facto parameter-efficient fine-tuning technique for large language models. We present HeteroLoRA, a light-weight search algorithm that leverages zero-cost proxies to allocate the limited LoRA…

Machine Learning · Computer Science 2024-06-24 Zixi Zhang , Cheng Zhang , Xitong Gao , Robert D. Mullins , George A. Constantinides , Yiren Zhao

We consider ``one-at-a-time'' coordinate-wise descent algorithms for a class of convex optimization problems. An algorithm of this kind has been proposed for the $L_1$-penalized regression (lasso) in the literature, but it seems to have…

Computation · Statistics 2007-12-18 Jerome Friedman , Trevor Hastie , Holger Höfling , Robert Tibshirani

Linear-parametric optimization, where multiple objectives are combined into a single objective using linear combinations with parameters as coefficients, has numerous links to other fields in optimization and a wide range of application…

Optimization and Control · Mathematics 2025-01-22 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

Hyperparameter optimization (HPO) is generally treated as a bi-level optimization problem that involves fitting a (probabilistic) surrogate model to a set of observed hyperparameter responses, e.g. validation loss, and consequently…

Machine Learning · Computer Science 2021-10-18 Hadi S. Jomaa , Jonas Falkner , Lars Schmidt-Thieme

Pruning is an effective method for compressing Large Language Models, but finding an optimal, non-uniform layer-wise sparsity allocation remains a key challenge. While heuristic methods are fast but yield suboptimal performance, more…

Machine Learning · Computer Science 2025-11-25 Xin Yuan , Siqi Li , Jiateng Wei , Chengrui Zhu , Yanming Wu , Qingpeng Li , Jiajun Lv , Xiaoke Lan , Jun Chen , Yong Liu

A number of popular transfer learning methods rely on grid search to select regularization hyperparameters that control over-fitting. This grid search requirement has several key disadvantages: the search is computationally expensive,…

Machine Learning · Computer Science 2025-01-28 Ethan Harvey , Mikhail Petrov , Michael C. Hughes

A significant hurdle for analyzing large sample data is the lack of effective statistical computing and inference methods. An emerging powerful approach for analyzing large sample data is subsampling, by which one takes a random subsample…

Methodology · Statistics 2015-11-24 Rong Zhu , Ping Ma , Michael W. Mahoney , Bin Yu

Machine learning algorithms have been used widely in various applications and areas. To fit a machine learning model into different problems, its hyper-parameters must be tuned. Selecting the best hyper-parameter configuration for machine…

Machine Learning · Computer Science 2022-10-06 Li Yang , Abdallah Shami

Deep learning techniques play an increasingly important role in industrial and research environments due to their outstanding results. However, the large number of hyper-parameters to be set may lead to errors if they are set manually. The…

Machine Learning · Computer Science 2020-06-04 Michele Fraccaroli , Evelina Lamma , Fabrizio Riguzzi

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

Statistics Theory · Mathematics 2025-07-08 Tianyu Zhang , Jing Lei

The arrival of AI techniques in computations, with the potential for hallucinations and non-robustness, has made trustworthiness of algorithms a focal point. However, trustworthiness of the many classical approaches are not well understood.…

Optimization and Control · Mathematics 2023-12-19 Alexander Bastounis , Felipe Cucker , Anders C. Hansen

The network Lasso (nLasso) has been proposed recently as an efficient learning algorithm for massive networked data sets (big data over networks). It extends the well-known least absolute shrinkage and selection operator (Lasso) from…

Machine Learning · Computer Science 2019-07-24 Alexander Jung , Nguyen Tran

In this paper, we propose a stochastic search algorithm for solving general optimization problems with little structure. The algorithm iteratively finds high quality solutions by randomly sampling candidate solutions from a parameterized…

Optimization and Control · Mathematics 2013-01-08 Enlu Zhou , Jiaqiao Hu

Common regularization algorithms for linear regression, such as LASSO and Ridge regression, rely on a regularization hyperparameter that balances the tradeoff between minimizing the fitting error and the norm of the learned model…

Machine Learning · Computer Science 2023-11-27 Gabriele Maroni , Loris Cannelli , Dario Piga

Hyperparameter optimization (HPO) is concerned with the automated search for the most appropriate hyperparameter configuration (HPC) of a parameterized machine learning algorithm. A state-of-the-art HPO method is Hyperband, which, however,…

Machine Learning · Computer Science 2023-02-07 Jasmin Brandt , Marcel Wever , Dimitrios Iliadis , Viktor Bengs , Eyke Hüllermeier

In many statistical learning problems, it is desired that the optimal solution conforms to an a priori known sparsity structure represented by a directed acyclic graph. Inducing such structures by means of convex regularizers requires…

Optimization and Control · Mathematics 2020-10-20 Dewei Zhang , Yin Liu , Sam Davanloo Tajbakhsh

Evaluating query predicates on data samples is the only way to estimate their selectivity in certain scenarios. Finding a guaranteed optimal query plan is not a reasonable optimization goal in those cases as it might require an infinite…

Databases · Computer Science 2015-11-06 Immanuel Trummer , Christoph Koch

Hyperparameter optimisation is a crucial process in searching the optimal machine learning model. The efficiency of finding the optimal hyperparameter settings has been a big concern in recent researches since the optimisation process could…

Machine Learning · Computer Science 2020-09-15 Yuxi Huan , Fan Wu , Michail Basios , Leslie Kanthan , Lingbo Li , Baowen Xu

Hyperparameter selection in continual learning scenarios is a challenging and underexplored aspect, especially in practical non-stationary environments. Traditional approaches, such as grid searches with held-out validation data from all…

Machine Learning · Computer Science 2024-06-21 Rudy Semola , Julio Hurtado , Vincenzo Lomonaco , Davide Bacciu
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