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In the manufacturing industry, it is often necessary to repeat expensive operational testing of machine in order to identify the range of input conditions under which the machine operates properly. Since it is often difficult to accurately…

Machine Learning · Statistics 2019-10-29 Shogo Iwazaki , Yu Inatsu , Ichiro Takeuchi

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

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

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

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

This paper presents an information-theoretic framework for unifying active learning problems: level set estimation (LSE), Bayesian optimization (BO), and their generalized variant. We first introduce a novel active learning criterion that…

Machine Learning · Computer Science 2020-12-22 Quoc Phong Nguyen , Bryan Kian Hsiang Low , Patrick Jaillet

Level set estimation (LSE) is the problem of identifying regions where an unknown function takes values above or below a specified threshold. Active sampling strategies for efficient LSE have primarily been studied in continuous-valued…

Machine Learning · Statistics 2022-03-21 Benjamin Letham , Phillip Guan , Chase Tymms , Eytan Bakshy , Michael Shvartsman

In this paper, we study the problem of uncertainty estimation and calibration for LLMs. We begin by formulating the uncertainty estimation problem, a relevant yet underexplored area in existing literature. We then propose a supervised…

Machine Learning · Computer Science 2024-10-24 Linyu Liu , Yu Pan , Xiaocheng Li , Guanting Chen

In this work, we introduce Entropy Area Score (EAS), a simple yet effective metric to quantify uncertainty in the answer generation process of reasoning large language models (LLMs). EAS requires neither external models nor repeated…

Artificial Intelligence · Computer Science 2025-08-29 Yongfu Zhu , Lin Sun , Guangxiang Zhao , Weihong Lin , Xiangzheng Zhang

The rapid rise of large language models (LLMs) is reshaping the landscape of automatic assessment in education. While these systems demonstrate substantial advantages in adaptability to diverse question types and flexibility in output…

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

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

A variety of algorithms have been proposed to address the power system state estimation problem in the presence of uncertainties in the data. However, less emphasis has been given to handling perturbations in the model. In the context of…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Ayan Das , Anushka Sharma , Anamitra Pal

Large language models (LLMs) could be valuable personal AI agents across various domains, provided they can precisely follow user instructions. However, recent studies have shown significant limitations in LLMs' instruction-following…

Artificial Intelligence · Computer Science 2025-03-31 Juyeon Heo , Miao Xiong , Christina Heinze-Deml , Jaya Narain

In material characterization, identifying defective areas on a material surface is fundamental. The conventional approach involves measuring the relevant physical properties point-by-point at the predetermined mesh grid points on the…

Machine Learning · Computer Science 2023-04-05 Shota Hozumi , Kentaro Kutsukake , Kota Matsui , Syunya Kusakawa , Toru Ujihara , Ichiro Takeuchi

Black-box optimization refers to the optimization problem whose objective function and/or constraint sets are either unknown, inaccessible, or non-existent. In many applications, especially with the involvement of humans, the only way to…

In supervised learning, acquiring labeled training data for a predictive model can be very costly, but acquiring a large amount of unlabeled data is often quite easy. Active learning is a method of obtaining predictive models with high…

Machine Learning · Computer Science 2020-12-17 Hideitsu Hino

Recent advances in machine learning have led to increased deployment of black-box classifiers across a wide variety of applications. In many such situations there is a critical need to both reliably assess the performance of these…

Machine Learning · Statistics 2021-03-16 Disi Ji , Robert L. Logan , Padhraic Smyth , Mark Steyvers

LLM-as-a-Judge is a widely used method for evaluating the performance of Large Language Models (LLMs) across various tasks. We address the challenge of quantifying the uncertainty of LLM-as-a-Judge evaluations. While uncertainty…

Classification algorithms aim to predict an unknown label (e.g., a quality class) for a new instance (e.g., a product). Therefore, training samples (instances and labels) are used to deduct classification hypotheses. Often, it is relatively…

Machine Learning · Computer Science 2019-01-30 Daniel Kottke , Jim Schellinger , Denis Huseljic , Bernhard Sick
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