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Unmeasured confounding is a threat to causal inference and gives rise to biased estimates. In this article, we consider the problem of individualized decision-making under partial identification. Firstly, we argue that when faced with…

统计方法学 · 统计学 2021-10-22 Yifan Cui

Attributing an observed outcome to its root cause is a central task in domains ranging from medical diagnosis to engineering fault diagnosis. Existing approaches either equate the root cause with a root node of the causal graph, as in…

统计方法学 · 统计学 2026-05-13 Zitong Lu , Zhi Geng , Wei Li , Min Xie

In this paper we wish to tackle stochastic programs affected by ambiguity about the probability law that governs their uncertain parameters. Using optimal transport theory, we construct an ambiguity set that exploits the knowledge about the…

最优化与控制 · 数学 2021-06-15 Adrián Esteban-Pérez , Juan M. Morales

We study the inference problem in the group testing to identify defective items from the perspective of the decision theory. We introduce Bayesian inference and consider the Bayesian optimal setting in which the true generative process of…

信息论 · 计算机科学 2021-10-22 Ayaka Sakata , Yoshiyuki Kabashima

Stepwise model routing improves the efficiency of Large Reasoning Models (LRMs) by assigning each reasoning step to a suitable model. Recent methods formulate routing as a sequential decision process and train the router with reinforcement…

人工智能 · 计算机科学 2026-05-29 Shenghao Ye , Yu Guo , Zhengheng Li , Shuangwu Chen , Jian Yang

Policy gradient methods can solve complex tasks but often fail when the dimensionality of the action-space or objective multiplicity grow very large. This occurs, in part, because the variance on score-based gradient estimators scales…

机器学习 · 计算机科学 2021-11-24 Thomas Spooner , Nelson Vadori , Sumitra Ganesh

In this letter, the optimality of the likelihood ratio test (LRT) is investigated for binary hypothesis testing problems in the presence of a behavioral decision-maker. By utilizing prospect theory, a behavioral decision-maker is modeled to…

信息论 · 计算机科学 2018-12-05 Sinan Gezici , Pramod K. Varshney

Reinforcement learning with verifiable rewards has made post-training highly effective when correctness can be checked automatically. However, many important model behaviors require satisfying several qualitative criteria at once.…

Techniques for decision making with knowledge of linear constraints on condition probabilities are examined. These constraints arise naturally in many situations: upper and lower condition probabilities are known; an ordering among the…

人工智能 · 计算机科学 2013-04-10 Michael Pittarelli

The experimental evaluation of algorithms results in a large set of data which generally do not follow a normal distribution or are not heteroscedastic. Besides, some of its entries may be missing, due to the inability of an algorithm to…

机器学习 · 计算机科学 2019-08-16 Iago A Carvalho

The forward order assumption postulates that the ranking process of the items is carried out by sequentially assigning the positions from the top (most-liked) to the bottom (least-liked) alternative. This assumption has been recently…

统计方法学 · 统计学 2020-03-17 Cristina Mollica , Luca Tardella

Hierarchical classification offers an approach to incorporate the concept of mistake severity by leveraging a structured, labeled hierarchy. However, decoding in such settings frequently relies on heuristic decision rules, which may not…

机器学习 · 计算机科学 2025-06-03 Roman Plaud , Alexandre Perez-Lebel , Matthieu Labeau , Antoine Saillenfest , Thomas Bonald

Robust optimization (RO) provides a principled framework for decision-making under uncertainty, but its performance critically depends on the choice of the uncertainty set. While large sets ensure reliability, they often lead to overly…

机器学习 · 计算机科学 2026-05-15 Shuyi Chen , Wenbin Zhou , Shixiang Zhu

The problem of pattern selection arises when the evolution equations have many solutions, whereas observed patterns constitute a much more restricted set. An approach is advanced for treating the problem of pattern selection by defining the…

凝聚态物理 · 物理学 2009-11-07 V. I. Yukalov

A fundamental component of networking infras- tructure is the policy, used in routing tables and firewalls. Accordingly, there has been extensive study of policies. However, the theory of such policies indicates that the size of the…

网络与互联网体系结构 · 计算机科学 2015-10-28 Mohit Wadhwa , Ambar Pal , Ayush Shah , Paritosh Mittal , H. B. Acharya

Quick response is a widely adopted strategy to mitigate overproduction in the manufacturing industry, yet recent research reveals a counter-intuitive paradox: while it reduces waste from unsold finished goods, it may incentivize firms to…

最优化与控制 · 数学 2026-02-11 Panayotis P. Papavassilopoulos , Grani A. Hanasusanto , Yijie Wang

The Area Under the ROC Curve (AUC) is a crucial metric for machine learning, which evaluates the average performance over all possible True Positive Rates (TPRs) and False Positive Rates (FPRs). Based on the knowledge that a skillful…

机器学习 · 计算机科学 2022-06-24 Zhiyong Yang , Qianqian Xu , Shilong Bao , Yuan He , Xiaochun Cao , Qingming Huang

In recent years, two prominent paradigms have shaped distributionally robust optimization (DRO), modeling distributional ambiguity through $\phi$-divergences and Wasserstein distances, respectively. While the former focuses on ambiguity in…

最优化与控制 · 数学 2025-12-22 Jose Blanchet , Daniel Kuhn , Jiajin Li , Bahar Taskesen

We consider optimal transport based distributionally robust optimization (DRO) problems with locally strongly convex transport cost functions and affine decision rules. Under conventional convexity assumptions on the underlying loss…

最优化与控制 · 数学 2021-04-27 Jose Blanchet , Karthyek Murthy , Fan Zhang

We consider a distributionally robust Partially Observable Markov Decision Process (DR-POMDP), where the distribution of the transition-observation probabilities is unknown at the beginning of each decision period, but their realizations…

最优化与控制 · 数学 2020-12-09 Hideaki Nakao , Ruiwei Jiang , Siqian Shen