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Level set estimation (LSE) classifies whether an unknown function's value exceeds a specified threshold for given inputs, a fundamental problem in many real-world applications. In active learning settings with limited initial data, we aim…

Machine Learning · Computer Science 2026-02-16 Giang Ngo , Dat Phan Trong , Dang Nguyen , Sunil Gupta

Level Set Estimation (LSE) is an important problem with applications in various fields such as material design, biotechnology, machine operational testing, etc. Existing techniques suffer from the scalability issue, that is, these methods…

Machine Learning · Statistics 2020-12-21 Huong Ha , Sunil Gupta , Santu Rana , Svetha Venkatesh

Testing under what conditions the product satisfies the desired properties is a fundamental problem in manufacturing industry. If the condition and the property are respectively regarded as the input and the output of a black-box function,…

Machine Learning · Statistics 2025-07-30 Yu Inatsu , Masayuki Karasuyama , Keiichi Inoue , Ichiro Takeuchi

We consider the problem of active learning in the context of spatial sampling for level set estimation (LSE), where the goal is to localize all regions where a function of interest lies above/below a given threshold as quickly as possible.…

Machine Learning · Computer Science 2025-07-24 Phillip Kearns , Bruno Jedynak , John Lipor

Active learning emerged as an alternative to alleviate the effort to label huge amount of data for data hungry applications (such as image/video indexing and retrieval, autonomous driving, etc.). The goal of active learning is to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Minghan Li , Xialei Liu , Joost van de Weijer , Bogdan Raducanu

Level set estimation (LSE), the problem of identifying the set of input points where a function takes value above (or below) a given threshold, is important in practical applications. When the function is expensive-to-evaluate and…

Machine Learning · Statistics 2024-12-02 Yu Inatsu , Shion Takeno , Kentaro Kutsukake , Ichiro Takeuchi

A common problem encountered in many real-world applications is level set estimation where the goal is to determine the region in the function domain where the function is above or below a given threshold. When the function is black-box and…

Machine Learning · Computer Science 2024-02-27 Giang Ngo , Dang Nguyen , Dat Phan-Trong , Sunil Gupta

The objective of active level set estimation for a black-box function is to precisely identify regions where the function values exceed or fall below a specified threshold by iteratively performing function evaluations to gather more…

Machine Learning · Computer Science 2024-10-10 Giang Ngo , Dang Nguyen , Sunil Gupta

Active Feature Acquisition is an instance-wise, sequential decision making problem. The aim is to dynamically select which feature to measure based on current observations, independently for each test instance. Common approaches either use…

Machine Learning · Computer Science 2025-08-07 Alexander Norcliffe , Changhee Lee , Fergus Imrie , Mihaela van der Schaar , Pietro Lio

Estimating personalized treatment effects from high-dimensional observational data is essential in situations where experimental designs are infeasible, unethical, or expensive. Existing approaches rely on fitting deep models on outcomes…

Machine Learning · Computer Science 2022-02-02 Andrew Jesson , Panagiotis Tigas , Joost van Amersfoort , Andreas Kirsch , Uri Shalit , Yarin Gal

We consider the problem of learning the level set for which a noisy black-box function exceeds a given threshold. To efficiently reconstruct the level set, we investigate Gaussian process (GP) metamodels. Our focus is on strongly stochastic…

Machine Learning · Statistics 2020-03-03 Xiong Lyu , Mickael Binois , Michael Ludkovski

Active feature acquisition (AFA) is a sequential decision-making problem where the goal is to improve model performance for test instances by adaptively selecting which features to acquire. In practice, AFA methods often learn from…

Machine Learning · Computer Science 2025-10-15 Yuta Kobayashi , Zilin Jing , Jiayu Yao , Hongseok Namkoong , Shalmali Joshi

Estimating posteriors and the associated model evidences, with desired accuracy and affordable computational cost, is a core issue of Bayesian model updating, and can be of great challenge given expensive-to-evaluate models and posteriors…

Computation · Statistics 2026-04-09 Jingwen Song , Pengfei Wei

Feature selection problems have been extensively studied for linear estimation, for instance, Lasso, but less emphasis has been placed on feature selection for non-linear functions. In this study, we propose a method for feature selection…

Machine Learning · Computer Science 2020-07-28 Yutaro Yamada , Ofir Lindenbaum , Sahand Negahban , Yuval Kluger

The level set estimation problem seeks to identify regions within a set of candidate points where an unknown and costly to evaluate function's value exceeds a specified threshold, providing an efficient alternative to exhaustive evaluations…

Machine Learning · Statistics 2025-03-27 Hideaki Ishibashi , Kota Matsui , Kentaro Kutsukake , Hideitsu Hino

Learning a sequence of tasks without access to i.i.d. observations is a widely studied form of continual learning (CL) that remains challenging. In principle, Bayesian learning directly applies to this setting, since recursive and one-off…

We consider the problem of active learning for global sensitivity analysis of expensive black-box functions. Our aim is to efficiently learn the importance of different input variables, e.g., in vehicle safety experimentation, we study the…

Machine Learning · Computer Science 2024-10-22 Syrine Belakaria , Benjamin Letham , Janardhan Rao Doppa , Barbara Engelhardt , Stefano Ermon , Eytan Bakshy

In recent years, active subspace methods (ASMs) have become a popular means of performing subspace sensitivity analysis on black-box functions. Naively applied, however, ASMs require gradient evaluations of the target function. In the event…

Machine Learning · Statistics 2020-09-22 Nathan Wycoff , Mickael Binois , Stefan M. Wild

This paper focuses on the system identification of an important class of nonlinear systems: linearly parameterized nonlinear systems, which enjoys wide applications in robotics and other mechanical systems. We consider two system…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Negin Musavi , Ziyao Guo , Geir Dullerud , Yingying Li

Common acquisition functions for active learning use either uncertainty or diversity sampling, aiming to select difficult and diverse data points from the pool of unlabeled data, respectively. In this work, leveraging the best of both…

Computation and Language · Computer Science 2021-09-09 Katerina Margatina , Giorgos Vernikos , Loïc Barrault , Nikolaos Aletras
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