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In the recent years, various gradient descent algorithms including the methods of gradient descent, gradient descent with momentum, adaptive gradient (AdaGrad), root-mean-square propagation (RMSProp) and adaptive moment estimation (Adam)…

Machine Learning · Computer Science 2024-09-19 Abel C. H. Chen

We consider the stochastic approximation problem where a convex function has to be minimized, given only the knowledge of unbiased estimates of its gradients at certain points, a framework which includes machine learning methods based on…

Machine Learning · Computer Science 2013-06-11 Francis Bach , Eric Moulines

The SPS-LASSO has recently been introduced as a solution to the problem of regularization parameter selection in the complex-valued LASSO problem. Still, the dependence on the grid size and the polynomial time of performing convex…

Information Theory · Computer Science 2012-07-31 Ashkan Panahi , Mats Viberg

In this paper, we propose an adaptive group Lasso deep neural network for high-dimensional function approximation where input data are generated from a dynamical system and the target function depends on few active variables or few linear…

Machine Learning · Computer Science 2021-12-06 Lam Si Tung Ho , Nicholas Richardson , Giang Tran

This paper presents a new algorithm for automatic variables selection. In particular, using the Graphical Models properties it is possible to develop a method that can be used in the contest of large dataset. The advantage of this algorithm…

Machine Learning · Statistics 2022-01-17 Luigi Riso

Along with the desire to address more complex problems, feature selection methods have gained in importance. Feature selection methods can be classified into wrapper method, filter method, and embedded method. Being a powerful embedded…

Machine Learning · Computer Science 2021-08-30 Akihito Sudo , Teng Teck Hou , Masaki Yamaguchi , Yoshinori Tone

Recent computational strategies based on screening tests have been proposed to accelerate algorithms addressing penalized sparse regression problems such as the Lasso. Such approaches build upon the idea that it is worth dedicating some…

Machine Learning · Statistics 2015-10-28 Antoine Bonnefoy , Valentin Emiya , Liva Ralaivola , Rémi Gribonval

The learning rate in stochastic gradient methods is a critical hyperparameter that is notoriously costly to tune via standard grid search, especially for training modern large-scale models with billions of parameters. We identify a…

Machine Learning · Computer Science 2026-02-17 Amit Attia , Tomer Koren

In many high dimensional classification or regression problems set in a biological context, the complete identification of the set of informative features is often as important as predictive accuracy, since this can provide mechanistic…

Machine Learning · Computer Science 2020-03-02 Yuxin Sun , Benny Chain , Samuel Kaski , John Shawe-Taylor

Hyperparameter tuning is an omnipresent problem in machine learning as it is an integral aspect of obtaining the state-of-the-art performance for any model. Most often, hyperparameters are optimized just by training a model on a grid of…

Machine Learning · Computer Science 2019-06-28 Hadi S. Jomaa , Josif Grabocka , Lars Schmidt-Thieme

Choosing a suitable ML model is a complex task that can depend on several objectives, e.g., accuracy, fairness, or energy consumption. In practice, this requires trading off multiple, often competing, objectives through multi-objective…

Machine Learning · Computer Science 2026-05-07 Daphne Theodorakopoulos , Marcel Wever , Marius Lindauer

In modern data analysis, sparse model selection becomes inevitable once the number of predictors variables is very high. It is well-known that model selection procedures like the Lasso or Boosting tend to overfit on real data. The…

Machine Learning · Computer Science 2022-02-11 Tino Werner

Prompt engineering has demonstrated remarkable success in enhancing the performance of large language models (LLMs) across diverse tasks. However, most existing prompt optimization methods only focus on the task-level performance,…

Artificial Intelligence · Computer Science 2025-06-02 Yilun Kong , Hangyu Mao , Qi Zhao , Bin Zhang , Jingqing Ruan , Li Shen , Yongzhe Chang , Xueqian Wang , Rui Zhao , Dacheng Tao

Lasso is a celebrated method for variable selection in linear models, but it faces challenges when the variables are moderately or strongly correlated. This motivates alternative approaches such as using a non-convex penalty, adding a ridge…

Statistics Theory · Mathematics 2022-03-30 Zheng Tracy Ke , Longlin Wang

Evaluating the adversarial robustness of machine learning models using gradient-based attacks is challenging. In this work, we show that hyperparameter optimization can improve fast minimum-norm attacks by automating the selection of the…

Machine Learning · Computer Science 2023-10-13 Giuseppe Floris , Raffaele Mura , Luca Scionis , Giorgio Piras , Maura Pintor , Ambra Demontis , Battista Biggio

Hyperparameters of Deep Learning (DL) pipelines are crucial for their downstream performance. While a large number of methods for Hyperparameter Optimization (HPO) have been developed, their incurred costs are often untenable for modern DL.…

We present a novel quantum high-dimensional linear regression algorithm with an $\ell_1$-penalty based on the classical LARS (Least Angle Regression) pathwise algorithm. Similarly to available classical algorithms for Lasso, our quantum…

Quantum Physics · Physics 2025-03-26 Joao F. Doriguello , Debbie Lim , Chi Seng Pun , Patrick Rebentrost , Tushar Vaidya

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

Machine Learning · Statistics 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

In this paper, a new one-parameter filled function approach is developed for nonlinear multi-objective optimization. Inspired by key filled function ideas from single-objective optimization, the proposed method is adapted to the…

Optimization and Control · Mathematics 2026-04-01 Bikram Adhikary , Md Abu Talhamainuddin Ansary

In this work, we consider learning sparse models in large scale settings, where the number of samples and the feature dimension can grow as large as millions or billions. Two immediate issues occur under such challenging scenario: (i)…

Machine Learning · Statistics 2023-01-31 Atul Dhingra , Jie Shen , Nicholas Kleene
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