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Stochastic optimization is an important task in many optimization problems where the tasks are not expressible as convex optimization problems. In the case of non-convex optimization problems, various different stochastic algorithms like…

神经与进化计算 · 计算机科学 2015-06-29 Jayanta Basak

Local Search meta-heuristics have been proven a viable approach to solve difficult optimization problems. Their performance depends strongly on the search space landscape, as defined by a cost function and the selected neighborhood…

神经与进化计算 · 计算机科学 2019-09-19 Mateusz Ślażyński , Salvador Abreu , Grzegorz J. Nalepa

There is a clear need for efficient algorithms to tune hyperparameters for statistical learning schemes, since the commonly applied search methods (such as grid search with N-fold cross-validation) are inefficient and/or approximate.…

机器学习 · 计算机科学 2020-04-07 Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

Support vector machines (SVMs) rely on the inherent geometry of a data set to classify training data. Because of this, we believe SVMs are an excellent candidate to guide the development of an analytic feature selection algorithm, as…

机器学习 · 计算机科学 2013-04-23 Carly Stambaugh , Hui Yang , Felix Breuer

Robust iterative methods for solving large sparse systems of linear algebraic equations often suffer from the problem of optimizing the corresponding tuning parameters. To improve the performance of the problem of interest, specific…

数值分析 · 数学 2023-10-18 Andrey Petrushov , Boris Krasnopolsky

Adaptive regularized framework using cubics has emerged as an alternative to line-search and trust-region algorithms for smooth nonconvex optimization, with an optimal complexity amongst second-order methods. In this paper, we propose and…

最优化与控制 · 数学 2018-05-30 El houcine Bergou , Youssef Diouane , Serge Gratton

The purpose of this research was to compare the robustness and performance of a local and global optimization algorithm when given the task of fitting the parameters of a common non-linear dose-response model utilized in the field of…

神经与进化计算 · 计算机科学 2020-12-18 Mark Connor , Michael O'Neill

We construct a soft thresholding operation for rank reduction of hierarchical tensors and subsequently consider its use in iterative thresholding methods, in particular for the solution of discretized high-dimensional elliptic problems. The…

数值分析 · 数学 2015-02-02 Markus Bachmayr , Reinhold Schneider

In this paper, we formulate the hyperparameter tuning problem in machine learning as a bilevel program. The bilevel program is solved using a micro genetic algorithm that is enhanced with a linear program. While the genetic algorithm…

机器学习 · 计算机科学 2024-07-02 Ankur Sinha , Paritosh Pankaj

Metaheuristic algorithms are currently widely used to solve a variety of optimization problems across various industries. This article discusses the application of a metaheuristic algorithm to optimize the hierarchical architecture of an…

系统与控制 · 电气工程与系统科学 2026-03-13 Ruslan Zakirzyanov

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…

机器学习 · 计算机科学 2020-06-04 Michele Fraccaroli , Evelina Lamma , Fabrizio Riguzzi

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

最优化与控制 · 数学 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

A method is presented to exploit adaptive integration algorithms using importance sampling, like VEGAS, for the task of scanning theoretical predictions depending on a multi-dimensional parameter space. Usually, a parameter scan is…

高能物理 - 唯象学 · 物理学 2010-04-05 Oliver Brein

Extraction of local feature descriptors is a vital stage in the solution pipelines for numerous computer vision tasks. Learning-based approaches improve performance in certain tasks, but still cannot replace handcrafted features in general.…

计算机视觉与模式识别 · 计算机科学 2018-04-19 Kun He , Yan Lu , Stan Sclaroff

Optimization aims at selecting a feasible set of parameters in an attempt to solve a particular problem, being applied in a wide range of applications, such as operations research, machine learning fine-tuning, and control engineering,…

神经与进化计算 · 计算机科学 2020-12-03 Gustavo H. de Rosa , Douglas Rodrigues , João P. Papa

Besides training, mathematical optimization is also used in deep learning to model and solve formulations over trained neural networks for purposes such as verification, compression, and optimization with learned constraints. However,…

最优化与控制 · 数学 2024-01-30 Jiatai Tong , Junyang Cai , Thiago Serra

Linear regression is a fundamental modeling tool in statistics and related fields. In this paper, we study an important variant of linear regression in which the predictor-response pairs are partially mismatched. We use an optimization…

最优化与控制 · 数学 2022-11-01 Rahul Mazumder , Haoyue Wang

The sequential minimal optimization (SMO) algorithm and variants thereof are the de facto standard method for solving large quadratic programs for support vector machine (SVM) training. In this paper we propose a simple yet powerful…

机器学习 · 计算机科学 2013-08-01 Tobias Glasmachers

Bayesian optimization is normally performed within fixed variable bounds. In cases like hyperparameter tuning for machine learning algorithms, setting the variable bounds is not trivial. It is hard to guarantee that any fixed bounds will…

最优化与控制 · 数学 2020-01-15 Wei Chen , Mark Fuge

Cascaded controller tuning is a multi-step iterative procedure that needs to be performed routinely upon maintenance and modification of mechanical systems. An automated data-driven method for cascaded controller tuning based on Bayesian…

系统与控制 · 电气工程与系统科学 2020-05-19 Mohammad Khosravi , Varsha Behrunani , Roy S. Smith , Alisa Rupenyan , John Lygeros