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The area under a receiver operating characteristic curve (AUC) is a useful tool to assess the performance of continuous-scale diagnostic tests on binary classification. In this article, we propose an empirical likelihood (EL) method to…

统计方法学 · 统计学 2022-05-05 Chul Moon , Xinlei Wang , Johan Lim

As learning solutions reach critical applications in social, industrial, and medical domains, the need to curtail their behavior has become paramount. There is now ample evidence that without explicit tailoring, learning can lead to biased,…

机器学习 · 计算机科学 2021-02-19 Luiz F. O. Chamon , Alejandro Ribeiro

Significant effort has been made to solve computationally expensive optimization problems in the past two decades, and various optimization methods incorporating surrogates into optimization have been proposed. Most research focuses on…

最优化与控制 · 数学 2022-04-11 Julian Blank , Kalyanmoy Deb

Safe reinforcement learning (RL) studies problems where an intelligent agent has to not only maximize reward but also avoid exploring unsafe areas. In this study, we propose CUP, a novel policy optimization method based on Constrained…

机器学习 · 计算机科学 2022-11-10 Long Yang , Jiaming Ji , Juntao Dai , Linrui Zhang , Binbin Zhou , Pengfei Li , Yaodong Yang , Gang Pan

We consider joint optimization and learning problems arising in real-time decision systems. While most existing work focuses primarily on convex, revenue-based objectives, we extend this line of research to multi-objective formulations. In…

最优化与控制 · 数学 2026-04-14 Zijun Li , Aswin Kannan

We address the problem of training models with black-box and hard-to-optimize metrics by expressing the metric as a monotonic function of a small number of easy-to-optimize surrogates. We pose the training problem as an optimization over a…

机器学习 · 计算机科学 2020-02-21 Qijia Jiang , Olaoluwa Adigun , Harikrishna Narasimhan , Mahdi Milani Fard , Maya Gupta

Assessment of risk prediction models has primarily utilized measures of discrimination, the ROC curve AUC and C-statistic. These derive from the risk distributions of patients and nonpatients, which in turn are derived from a population…

定量方法 · 定量生物学 2023-12-05 Ralph H. Stern

Many applications of AI involve scoring individuals using a learned function of their attributes. These predictive risk scores are then used to take decisions based on whether the score exceeds a certain threshold, which may vary depending…

机器学习 · 统计学 2021-02-26 Robin Vogel , Aurélien Bellet , Stephan Clémençon

The growing demand for energy-efficient, high-performance AI systems has led to increased attention on alternative computing platforms (e.g., photonic, neuromorphic) due to their potential to accelerate learning and inference. However,…

机器学习 · 计算机科学 2026-05-05 Andrei Chertkov , Artem Basharin , Mikhail Saygin , Evgeny Frolov , Stanislav Straupe , Ivan Oseledets

The intention with this paper is to provide all the estimation concepts and techniques that are needed to implement a two-phases approach to the parametric estimation of probability of default (PD) curves. In the first phase of this…

风险管理 · 定量金融 2010-03-05 Dirk Tasche

This paper presents a methodological framework for training, self-optimising, and self-organising surrogate models to approximate and speed up multiobjective optimisation of technical systems based on multiphysics simulations. At the hand…

Recent developments in unmanned aerial vehicles (UAVs) and mobile edge computing (MEC) have provided users with flexible and resilient computing services. However, meeting the computing-intensive and latency-sensitive demands of users poses…

信号处理 · 电气工程与系统科学 2024-04-25 Geng Sun , Yixian Wang , Zemin Sun , Qingqing Wu , Jiawen Kang , Dusit Niyato , Victor C. M. Leung

Classification performance is often not uniform over the data. Some areas in the input space are easier to classify than others. Features that hold information about the "difficulty" of the data may be non-discriminative and are therefore…

机器学习 · 计算机科学 2016-05-24 Oran Richman , Shie Mannor

Robust optimization is a very popular means to address decision-making problems affected by uncertainty. Its success has been fueled by its attractive robustness and scalability properties, by ease of modeling, and by the limited…

最优化与控制 · 数学 2020-06-17 Phebe Vayanos , Qing Jin , George Elissaios

Many engineering processes can be accurately modelled using partial differential equations (PDEs), but high dimensionality and non-convexity of the resulting systems pose limitations on their efficient optimisation. In this work, a model…

最优化与控制 · 数学 2024-10-17 Min Tao , Panagiotis Petsagkourakis , Jie Li , Constantinos Theodoropoulos

Real-Time Optimization (RTO) plays a crucial role in the process operation hierarchy by determining optimal set-points for the lower-level controllers. However, at the control layer, these set-points may be difficult to track due to…

系统与控制 · 电气工程与系统科学 2024-03-06 Akhil Ahmed , Ehecatl Antonio del Rio-Chanona , Mehmet Mercangoz

Monotone learning describes learning processes in which expected performance consistently improves as the amount of training data increases. However, recent studies challenge this conventional wisdom, revealing significant gaps in the…

机器学习 · 计算机科学 2025-05-22 Ming Li , Chenyi Zhang , Qin Li

Sparse principal component analysis (PCA) involves nonconvex optimization for which the global solution is hard to obtain. To address this issue, one popular approach is convex relaxation. However, such an approach may produce suboptimal…

机器学习 · 统计学 2014-08-25 Zhaoran Wang , Huanran Lu , Han Liu

Many state-of-the-art adversarial training methods for deep learning leverage upper bounds of the adversarial loss to provide security guarantees against adversarial attacks. Yet, these methods rely on convex relaxations to propagate lower…

机器学习 · 计算机科学 2023-04-07 Dimitris Bertsimas , Xavier Boix , Kimberly Villalobos Carballo , Dick den Hertog

Most of reinforcement learning algorithms optimize the discounted criterion which is beneficial to accelerate the convergence and reduce the variance of estimates. Although the discounted criterion is appropriate for certain tasks such as…

机器学习 · 计算机科学 2021-11-02 Xiaoteng Ma , Xiaohang Tang , Li Xia , Jun Yang , Qianchuan Zhao