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In this paper, mixed categorical structural optimization problems are investigated. The aim is to minimize the weight of a truss structure with respect to cross-section areas, materials and cross-section type. The proposed methodology…

Computational Engineering, Finance, and Science · Computer Science 2022-07-13 Pierre-Jean Barjhoux , Youssef Diouane , Stéphane Grihon , Joseph Morlier

We present two new algorithms for approximating and updating the hierarchical Tucker decomposition of tensor streams. The first algorithm, Batch Hierarchical Tucker - leaf to root (BHT-l2r), proposes an alternative and more efficient way of…

Numerical Analysis · Mathematics 2024-12-24 Doruk Aksoy , Alex A. Gorodetsky

We compare the performance of two automated classification algorithms: k-dimensional tree (kd-tree) and support vector machines (SVMs), to separate quasars from stars in the databases of the Sloan Digital Sky Survey (SDSS) and the Two…

Astrophysics · Physics 2009-09-29 Gao Dan , Zhang Yanxia , Zhao Yongheng

This paper considers various models of support vector machines with ramp loss, these being an efficient and robust tool in supervised classification for the detection of outliers. The exact solution approaches for the resulting optimization…

Optimization and Control · Mathematics 2024-03-13 Marta Baldomero-Naranjo , Luisa I. Martínez-Merino , Antonio M. Rodríguez-Chía

This paper introduces the stochastic Fej\'{e}r-monotone hybrid steepest descent method (S-FM-HSDM) to solve affinely constrained and composite convex minimization tasks. The minimization task is not known exactly; noise contaminates the…

Optimization and Control · Mathematics 2019-05-22 Konstantinos Slavakis

Velocity offsets in the broad Balmer lines of quasars and their temporal variations serve as indirect evidence for bound supermassive black hole binaries (SBHBs) at sub-parsec separations. In this work, we test the SBHB hypothesis for 14…

The extensive use of HPC infrastructures and frameworks for running dataintensive applications has led to a growing interest in data partitioning techniques and strategies. In fact, application performance can be heavily affected by how…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-02 Riccardo Cantini , Fabrizio Marozzo , Alessio Orsino , Domenico Talia , Paolo Trunfio , Rosa M. Badia , Jorge Ejarque , Fernando Vazquez

The goal of Multi-task Bayesian Optimization (MBO) is to minimize the number of queries required to accurately optimize a target black-box function, given access to offline evaluations of other auxiliary functions. When offline datasets are…

Machine Learning · Computer Science 2022-03-11 Kourosh Hakhamaneshi , Pieter Abbeel , Vladimir Stojanovic , Aditya Grover

Bayesian optimization (BO) offers an efficient pipeline for optimizing black-box functions with the help of a Gaussian process prior and an acquisition function (AF). Recently, in the context of single-objective BO, learning-based AFs…

Machine Learning · Computer Science 2025-05-30 Yu-Heng Hung , Kai-Jie Lin , Yu-Heng Lin , Chien-Yi Wang , Cheng Sun , Ping-Chun Hsieh

Recent results have shown that the MCTS algorithm (a new, adaptive, randomized optimization algorithm) is effective in a remarkably diverse set of applications in Artificial Intelligence, Operations Research, and High Energy Physics. MCTS…

Artificial Intelligence · Computer Science 2015-09-29 S. Ali Mirsoleimani , Aske Plaat , Jaap van den Herik

This paper deals with the problem of finding the globally optimal subset of h elements from a larger set of n elements in d space dimensions so as to minimize a quadratic criterion, with an special emphasis on applications to computing the…

Optimization and Control · Mathematics 2015-06-01 Salvador Flores

Purpose: Segmentation of the breast lesion in dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI) is an essential step to accurately diagnose and plan treatment and monitor progress. This study aims to highlight the impact of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Sam Narimani , Solveig Roth Hoff , Kathinka Dahli Kurz , Kjell-Inge Gjesdal , Jurgen Geisler , Endre Grovik

In this paper, we consider non-convex multi-block bilevel optimization (MBBO) problems, which involve $m\gg 1$ lower level problems and have important applications in machine learning. Designing a stochastic gradient and controlling its…

Optimization and Control · Mathematics 2023-06-05 Quanqi Hu , Zi-Hao Qiu , Zhishuai Guo , Lijun Zhang , Tianbao Yang

Hyperledger Fabric performance depends on many interacting configuration parameters, making manual tuning difficult. We study automated throughput tuning by treating benchmarking as a noisy black-box optimization problem and applying…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Yash Madhwal , Arseny Bolotnikov , Mark Prikhno , Irina Lebedeva , Ivan Laishevskiy , Vladimir Gorgadze , Artem Barger , Yury Yanovich

We consider black-box optimization in which only an extremely limited number of function evaluations, on the order of around 100, are affordable and the function evaluations must be performed in even fewer batches of a limited number of…

Machine Learning · Computer Science 2021-03-19 Carlos Ansotegui , Meinolf Sellmann , Tapan Shah , Kevin Tierney

The paper studies a higher order unfitted finite element method for the Stokes system posed on a surface in three-dimensional space. The method employs generalized Taylor-Hood finite element pairs on tetrahedral bulk mesh to discretize the…

Numerical Analysis · Mathematics 2020-03-17 Thomas Jankuhn , Maxim A. Olshanskii , Arnold Reusken , Alexander Zhiliakov

This paper is devoted to the study (common in many applications) of the black-box optimization problem, where the black-box represents a gradient-free oracle $\tilde{f} = f(x) + \xi$ providing the objective function value with some…

Optimization and Control · Mathematics 2024-07-08 Aleksandr Lobanov

This work deals with the design optimization of electrical machines under the consideration of manufacturing uncertainties. In order to efficiently quantify the uncertainty, blackbox machine learning methods are employed. A multi-objective…

Computational Engineering, Finance, and Science · Computer Science 2023-11-27 Morten Huber , Mona Fuhrländer , Sebastian Schöps

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

Machine Learning · Computer Science 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris

We consider the problem of learning support vector machines robust to uncertainty. It has been established in the literature that typical loss functions, including the hinge loss, are sensible to data perturbations and outliers, thus…

Machine Learning · Computer Science 2024-02-06 Valentina Cepeda , Andrés Gómez , Shaoning Han