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Active learning is a subfield of machine learning that is devised for design and modeling of systems with highly expensive sampling costs. Industrial and engineering systems are generally subject to physics constraints that may induce fatal…

Machine Learning · Statistics 2023-04-19 Cheolhei Lee , Xing Wang , Jianguo Wu , Xiaowei Yue

The present work deals with active sampling of graph nodes representing training data for binary classification. The graph may be given or constructed using similarity measures among nodal features. Leveraging the graph for classification…

Machine Learning · Statistics 2018-10-17 Dimitris Berberidis , Georgios B. Giannakis

Global sensitivity analysis is a powerful set of ideas and heuristics for understanding the importance and interplay between uncertain parameters in a computational model. Such a model is characterized by a set of input parameters and an…

Numerical Analysis · Mathematics 2020-12-23 Chun Yui Wong , Pranay Seshadri , Geoffrey T. Parks

Active learning in computer experiments aims at allocating resources in an intelligent manner based on the already observed data to satisfy certain objectives such as emulating or optimizing a computationally expensive function. There are…

Methodology · Statistics 2025-01-24 Difan Song , V. Roshan Joseph

In global sensitivity analysis, the well known Sobol' sensitivity indices aim to quantify how the variance in the output of a mathematical model can be apportioned to the different variances of its input random variables. These indices are…

Statistics Theory · Mathematics 2018-01-11 Nazih Benoumechiara , Kevin Elie-Dit-Cosaque

Labeled data can be expensive to acquire in several application domains, including medical imaging, robotics, and computer vision. To efficiently train machine learning models under such high labeling costs, active learning (AL) judiciously…

Machine Learning · Computer Science 2022-06-13 Konstantinos D. Polyzos , Qin Lu , Georgios B. Giannakis

This paper proposes a receding horizon active learning and control problem for dynamical systems in which Gaussian Processes (GPs) are utilized to model the system dynamics. The active learning objective in the optimization problem is…

Systems and Control · Electrical Eng. & Systems 2021-05-13 Viet-Anh Le , Truong X. Nghiem

This paper proposes an active learning (AL) algorithm to solve regression problems based on inverse-distance weighting functions for selecting the feature vectors to query. The algorithm has the following features: (i) supports both…

Machine Learning · Computer Science 2022-12-15 Alberto Bemporad

The method of derivative based global sensitivity measures (DGSM) has recently become popular among practitioners. It has a strong link with the Morris screening method and Sobol' sensitivity indices and has several advantages over them.…

Statistics Theory · Mathematics 2023-12-05 Serge Kucherenko , Bertrand Iooss

Classification models are a fundamental component of physical-asset management technologies such as structural health monitoring (SHM) systems and digital twins. Previous work introduced risk-based active learning, an online approach for…

Machine Learning · Computer Science 2022-07-13 Aidan J. Hughes , Lawrence A. Bull , Paul Gardner , Nikolaos Dervilis , Keith Worden

Data analysis of gravitational waves detected by the Ligo-Virgo-Kagra collaboration and future observatories relies on precise modelling of the sources. In order to build, calibrate and validate current models, we resort to expensive…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Tomas Andrade , Rossella Gamba , Juan Trenado

This study compares the performances of two sampling-based strategies for the simultaneous estimation of the first-and total-orders variance-based sensitivity indices (a.k.a Sobol' indices). The first strategy was introduced by [8] and is…

Applications · Statistics 2020-06-16 Ivano Azzini , Thierry Mara , Rossana Rosati

We propose an active learning method for discovering low-dimensional structure in high-dimensional Gaussian process (GP) tasks. Such problems are increasingly frequent and important, but have hitherto presented severe practical…

Machine Learning · Statistics 2013-10-28 Roman Garnett , Michael A. Osborne , Philipp Hennig

Robust loss minimization is an important strategy for handling robust learning issue on noisy labels. Current robust loss functions, however, inevitably involve hyperparameter(s) to be tuned, manually or heuristically through cross…

Machine Learning · Computer Science 2020-02-18 Jun Shu , Qian Zhao , Keyu Chen , Zongben Xu , Deyu Meng

This paper presents a simple noise correction method for Sobol' indices estimation. Sobol' indices, especially total Sobol' indices are quite sensitive to the noise in the output and tend to be severly biased (overestimated) if no noise…

Computation · Statistics 2018-04-04 Pavel Prikhodko , Nikita Kotlyarov

Training multimodal networks requires a vast amount of data due to their larger parameter space compared to unimodal networks. Active learning is a widely used technique for reducing data annotation costs by selecting only those samples…

Multimedia · Computer Science 2023-08-22 Meng Shen , Yizheng Huang , Jianxiong Yin , Heqing Zou , Deepu Rajan , Simon See

Sequential experimental design to discover interventions that achieve a desired outcome is a key problem in various domains including science, engineering and public policy. When the space of possible interventions is large, making an…

Machine Learning · Computer Science 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

Many mathematical models involve input parameters, which are not precisely known. Global sensitivity analysis aims to identify the parameters whose uncertainty has the largest impact on the variability of a quantity of interest (output of…

Re-training a deep learning model each time a single data point receives a new label is impractical due to the inherent complexity of the training process. Consequently, existing active learning (AL) algorithms tend to adopt a batch-based…

Machine Learning · Computer Science 2023-12-19 Yunpyo An , Suyeong Park , Kwang In Kim

The Sobol' indices are a recognized tool in global sensitivity analysis. When the uncertain variables in a model are statistically independent, the Sobol' indices may be easily interpreted and utilized. However, their interpretation and…

Data Analysis, Statistics and Probability · Physics 2018-08-17 Joseph Hart , Pierre Gremaud