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This paper introduces a novel framework to construct the probability density function (PDF) of non-negative continuous random variables. The proposed framework uses two functions: one is the survival function (SF) of a non-negative…

统计理论 · 数学 2025-05-27 Sarikul Islam , Nitin Gupta

Distributional reinforcement learning (DRL) has achieved empirical success in various domains. One core task in DRL is distributional policy evaluation, which involves estimating the return distribution $\eta^\pi$ for a given policy $\pi$.…

机器学习 · 统计学 2025-01-17 Yang Peng , Liangyu Zhang , Zhihua Zhang

Accelerated life-tests (ALTs) are used for inferring lifetime characteristics of highly reliable products. In particular, step-stress ALTs increase the stress level at which units under test are subject at certain pre-fixed times, thus…

统计理论 · 数学 2024-02-12 Narayanaswamy Balakrishnan , Maria Jaenada , Leandro Pardo

In the ever-changing and intricate landscape of financial markets, portfolio optimisation remains a formidable challenge for investors and asset managers. Conventional methods often struggle to capture the complex dynamics of market…

机器学习 · 统计学 2025-10-09 Himanshu Choudhary , Arishi Orra , Manoj Thakur

Safety in reinforcement learning (RL) is a key property in both training and execution in many domains such as autonomous driving or finance. In this paper, we formalize it with a constrained RL formulation in the distributional RL setting.…

机器学习 · 计算机科学 2021-03-01 Jianyi Zhang , Paul Weng

The development of Distributional Reinforcement Learning (DRL) has introduced a natural way to incorporate risk sensitivity into value-based and actor-critic methods by employing risk measures other than expectation in the value function.…

机器学习 · 计算机科学 2025-07-08 Mehrdad Moghimi , Hyejin Ku

In this study we analyze linear mixed-integer programming problems, in which the distribution of the cost vector is only observable through a finite training data set. In contrast to the related studies, we assume that the number of random…

最优化与控制 · 数学 2022-05-20 Sergey S. Ketkov , Andrei S. Shilov

Deep reinforcement learning (DRL) has emerged as a powerful paradigm for solving complex decision-making problems. However, DRL-based systems still face significant dependability challenges particularly in real-time environments due to the…

软件工程 · 计算机科学 2026-03-25 Guoxin Su , Thomas Robinson , Hoa Khanh Dam , Li Liu , David S. Rosenblum

Offline reinforcement learning (RL) presents distinct challenges as it relies solely on observational data. A central concern in this context is ensuring the safety of the learned policy by quantifying uncertainties associated with various…

机器学习 · 计算机科学 2025-07-03 Xiaocong Chen , Siyu Wang , Tong Yu , Lina Yao

A key challenge towards reliable robotic control is devising computational models that can both learn policies and guarantee robustness when deployed in the field. Inspired by the free energy principle in computational neuroscience, to…

机器人学 · 计算机科学 2026-03-10 Hozefa Jesawada , Giovanni Russo , Abdalla Swikir , Fares Abu-Dakka

In this paper, we consider a distributionally robust resource planning model inspired by a real-world service industry problem. In this problem, there is a mixture of known demand and uncertain future demand. Prior to having full knowledge…

最优化与控制 · 数学 2022-07-07 Ben Black , Russell Ainslie , Trivikram Dokka , Christopher Kirkbride

One typical assumption in inverse reinforcement learning (IRL) is that human experts act to optimize the expected utility of a stochastic cost with a fixed distribution. This assumption deviates from actual human behaviors under ambiguity.…

机器学习 · 计算机科学 2019-09-25 Rui Chen , Wenshuo Wang , Zirui Zhao , Ding Zhao

Distributionally robust optimization (DRO) is a powerful framework for training robust models against data distribution shifts. This paper focuses on constrained DRO, which has an explicit characterization of the robustness level. Existing…

机器学习 · 统计学 2024-04-02 Qi Zhang , Yi Zhou , Ashley Prater-Bennette , Lixin Shen , Shaofeng Zou

This paper targets the efficient construction of a safety shield for decision making in scenarios that incorporate uncertainty. Markov decision processes (MDPs) are prominent models to capture such planning problems. Reinforcement learning…

人工智能 · 计算机科学 2019-11-26 Nils Jansen , Bettina Könighofer , Sebastian Junges , Alexandru C. Serban , Roderick Bloem

Distributionally Robust Optimization (DRO) has enabled to prove the equivalence between robustness and regularization in classification and regression, thus providing an analytical reason why regularization generalizes well in statistical…

最优化与控制 · 数学 2020-07-15 Esther Derman , Shie Mannor

Ensuring robust safety measures across a wide range of scenarios is crucial for user-facing systems. While Large Language Models (LLMs) can generate valuable data for safety measures, they often exhibit distributional biases, focusing on…

计算与语言 · 计算机科学 2024-10-16 Sabit Hassan , Anthony Sicilia , Malihe Alikhani

We provide a functional view of distributional robustness motivated by robust statistics and functional analysis. This results in two practical computational approaches for approximate distributionally robust nonlinear optimization based on…

系统与控制 · 电气工程与系统科学 2021-10-27 Yassine Nemmour , Bernhard Schölkopf , Jia-Jie Zhu

Reward models are crucial for aligning large language models (LLMs) with human values and intentions. Existing approaches follow either Generative (GRMs) or Discriminative (DRMs) paradigms, yet both suffer from limitations: GRMs typically…

计算与语言 · 计算机科学 2026-03-03 Longze Chen , Lu Wang , Renke Shan , Ze Gong , Run Luo , Jiaming Li , Jing Luo , Qiyao Wang , Min Yang

The robustness of fault detection algorithms against uncertainty is crucial in the real-world industrial environment. Recently, a new probabilistic design scheme called distributionally robust fault detection (DRFD) has emerged and received…

最优化与控制 · 数学 2026-01-16 Yulin Feng , Hailang Jin , Steven X. Ding , Hao Ye , Chao Shang

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an important paradigm for unlocking reasoning capabilities in large language models, exemplified by the success of OpenAI o1 and DeepSeek-R1. Currently, Group Relative…

机器学习 · 计算机科学 2026-01-08 Shijie Zhang , Kevin Zhang , Zheyuan Gu , Xiang Guo , Rujun Guo , Shaoyu Liu , Guanjun Jiang , Xiaozhao Wang