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A major challenge in designing neural network (NN) systems is to determine the best structure and parameters for the network given the data for the machine learning problem at hand. Examples of parameters are the number of layers and nodes,…

Artificial Intelligence · Computer Science 2017-05-25 Gonzalo Diaz , Achille Fokoue , Giacomo Nannicini , Horst Samulowitz

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

Machine Learning · Computer Science 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne

The breakthrough ideas in the modern proximal splitting methodologies allow us to express the set of all minimizers of a superposition of multiple nonsmooth convex functions as the fixed point set of computable nonexpansive operators. In…

Optimization and Control · Mathematics 2022-07-01 Isao Yamada , Masao Yamagishi

Fine-tuning Large Language Models (LLMs) with Low-Rank Adaptation (LoRA) offers a resource-efficient way to personalize or specialize. However, LoRA is highly sensitive to hyperparameter choices, and exhaustive hyperparameter search is…

Computation and Language · Computer Science 2026-05-29 Baek Seong-Eun , Lee Jung-Mok , Kim Sung-Bin , Tae-Hyun Oh

In recent years, there is a growing interest in combining techniques attributed to the areas of Statistics and Machine Learning in order to obtain the benefits of both approaches. In this article, the statistical technique lasso for…

Machine Learning · Statistics 2023-09-08 David Delgado , Ernesto Curbelo , Danae Carreras

In this paper, we describe the hyper-parameter search problem in the field of machine learning and present a heuristic approach in an attempt to tackle it. In most learning algorithms, a set of hyper-parameters must be determined before…

Machine Learning · Computer Science 2020-01-14 Wei Hao Khoong

First-order algorithms have been popular for solving convex and non-convex optimization problems. A key assumption for the majority of these algorithms is that the gradient of the objective function is globally Lipschitz continuous, but…

Optimization and Control · Mathematics 2024-02-07 Junyu Zhang , Mingyi Hong

In contrast to single-objective optimization (SOO), multi-objective optimization (MOO) requires an optimizer to find the Pareto frontier, a subset of feasible solutions that are not dominated by other feasible solutions. In this paper, we…

Machine Learning · Computer Science 2024-08-13 Yiyang Zhao , Linnan Wang , Kevin Yang , Tianjun Zhang , Tian Guo , Yuandong Tian

Recent empirical work shows that inconsistent results based on choice of hyperparameter optimization (HPO) configuration are a widespread problem in ML research. When comparing two algorithms J and K searching one subspace can yield the…

Machine Learning · Computer Science 2022-02-18 A. Feder Cooper , Yucheng Lu , Jessica Zosa Forde , Christopher De Sa

Derivative-free optimization (DFO) consists in finding the best value of an objective function without relying on derivatives. To tackle such problems, one may build approximate derivatives, using for instance finite-difference estimates.…

Optimization and Control · Mathematics 2024-06-04 Clément W. Royer , Oumaima Sohab , Luis Nunes Vicente

We introduce an improved version of Random Search (RS), used here for hyperparameter optimization of machine learning algorithms. Unlike the standard RS, which generates for each trial new values for all hyperparameters, we generate new…

Machine Learning · Computer Science 2020-04-06 Adrian-Catalin Florea , Razvan Andonie

Parameter-free stochastic optimization aims to design algorithms that are agnostic to the underlying problem parameters while still achieving convergence rates competitive with optimally tuned methods. While some parameter-free methods do…

Machine Learning · Computer Science 2026-04-21 Yuheng Zhao , Yu-Hu Yan , Amit Attia , Tomer Koren , Lijun Zhang , Peng Zhao

We develop a line-search second-order algorithmic framework for minimizing finite sums. We do not make any convexity assumptions, but require the terms of the sum to be continuously differentiable and have Lipschitz-continuous gradients.…

Optimization and Control · Mathematics 2022-06-28 Daniela di Serafino , Nataša Krejić , Nataša Krklec Jerinkić , Marco Viola

Selecting the optimal combination of a machine learning (ML) algorithm and its hyper-parameters is crucial for the development of high-performance ML systems. However, since the combination of ML algorithms and hyper-parameters is enormous,…

Machine Learning · Computer Science 2025-02-14 Kazuki Ishikawa , Ryota Ozaki , Yohei Kanzaki , Ichiro Takeuchi , Masayuki Karasuyama

We consider a step search method for continuous optimization under a stochastic setting where the function values and gradients are available only through inexact probabilistic zeroth- and first-order oracles. Unlike the stochastic gradient…

Optimization and Control · Mathematics 2023-11-03 Billy Jin , Katya Scheinberg , Miaolan Xie

In Compressed Sensing and high dimensional estimation, signal recovery often relies on sparsity assumptions and estimation is performed via $\ell_1$-penalized least-squares optimization, a.k.a. LASSO. The $\ell_1$ penalisation is usually…

Computation · Statistics 2018-05-07 Stephane Chretien , Alex Gibberd , Sandipan Roy

For deterministic optimization, line-search methods augment algorithms by providing stability and improved efficiency. We adapt a classical backtracking Armijo line-search to the stochastic optimization setting. While traditional…

Optimization and Control · Mathematics 2018-07-24 Courtney Paquette , Katya Scheinberg

High-dimensional regression often suffers from heavy-tailed noise and outliers, which can severely undermine the reliability of least-squares based methods. To improve robustness, we adopt a non-smooth Wilcoxon score based rank objective…

Machine Learning · Statistics 2026-01-29 Meixia Lin , Meijiao Shi , Yunhai Xiao , Qian Zhang

It is already reported in the literature that the performance of a machine learning algorithm is greatly impacted by performing proper Hyper-Parameter optimization. One of the ways to perform Hyper-Parameter optimization is by manual search…

Machine Learning · Computer Science 2020-05-26 Sayan Putatunda , Kiran Rama

The lasso is a popular method to induce shrinkage and sparsity in the solution vector (coefficients) of regression problems, particularly when there are many predictors relative to the number of observations. Solving the lasso in this…

Machine Learning · Statistics 2024-05-14 Johan Larsson