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Conformal Prediction (CP) is a popular method for uncertainty quantification with machine learning models. While conformal prediction provides probabilistic guarantees regarding the coverage of the true label, these guarantees are agnostic…

The problem of variable-rate lossless data compression is considered, for codes with and without prefix constraints. Sharp bounds are derived for the best achievable compression rate of memoryless sources, when the excess-rate probability…

信息论 · 计算机科学 2025-11-13 Andreas Theocharous , Lampros Gavalakis , Ioannis Kontoyiannis

Here we introduce the idea of using rational expectations, a core concept in economics and finance, as a tool to predict the optimal failure time for a wide class of weighted k-out-of-n reliability systems. We illustrate the concept by…

物理与社会 · 物理学 2021-12-21 Jorgen Vitting Andersen , Roy Cerqueti , Jessica Riccioni

Most work in algorithmic fairness to date has focused on discrete outcomes, such as deciding whether to grant someone a loan or not. In these classification settings, group fairness criteria such as independence, separation and sufficiency…

In a recent work, we proposed Reliable Policy Iteration (RPI), that restores policy iteration's monotonicity-of-value-estimates property to the function approximation setting. Here, we assess the robustness of RPI's empirical performance on…

人工智能 · 计算机科学 2025-12-16 S. R. Eshwar , Aniruddha Mukherjee , Kintan Saha , Krishna Agarwal , Gugan Thoppe , Aditya Gopalan , Gal Dalal

In performative prediction, predictions guide decision-making and hence can influence the distribution of future data. To date, work on performative prediction has focused on finding performatively stable models, which are the fixed points…

机器学习 · 计算机科学 2021-06-17 John Miller , Juan C. Perdomo , Tijana Zrnic

We introduce the framework of performative reinforcement learning where the policy chosen by the learner affects the underlying reward and transition dynamics of the environment. Following the recent literature on performative…

机器学习 · 计算机科学 2023-06-08 Debmalya Mandal , Stelios Triantafyllou , Goran Radanovic

When providing probabilistic forecasts for uncertain future events, it is common to strive for calibrated forecasts, that is, the predictive distribution should be compatible with the observed outcomes. Several notions of calibration are…

统计方法学 · 统计学 2015-05-21 Christof Strähl , Johanna F. Ziegel

We study policy evaluation of offline contextual bandits subject to unobserved confounders. Sensitivity analysis methods are commonly used to estimate the policy value under the worst-case confounding over a given uncertainty set. However,…

机器学习 · 统计学 2026-01-13 Kei Ishikawa , Niao He , Takafumi Kanamori

Robust optimization safeguards decisions against uncertainty by optimizing against worst-case scenarios, yet their effectiveness hinges on a prespecified robustness level that is often chosen ad hoc, leading to either insufficient…

机器学习 · 统计学 2026-02-02 Wenbin Zhou , Shixiang Zhu

Norms have been extensively proposed as coordination mechanisms for both agent and human societies. Nevertheless, choosing the norms to regulate a society is by no means straightforward. The reasons are twofold. First, the norms to choose…

多智能体系统 · 计算机科学 2017-04-04 Maite Lopez-Sanchez , Marc Serramia , Juan A. Rodriguez-Aguilar , Javier Morales , Michael Wooldridge

We study optimal taxation when citizens are not fully confident that the government will transform tax revenue into useful public goods. In an otherwise standard Ramsey framework, a representative agent values a public good financed by…

理论经济学 · 经济学 2025-11-17 Emin Ablyatifov , Georgy Lukyanov

Inferential models (IMs) are data-dependent, imprecise-probabilistic structures designed to quantify uncertainty about unknowns. As the name suggests, the focus has been on uncertainty quantification for inference and on its reliability…

统计理论 · 数学 2026-05-01 Ryan Martin , Shih-Ni Prim , Jonathan Williams

Recent advances in deep learning have brought attention to the possibility of creating advanced, general AI systems that outperform humans across many tasks. However, if these systems pursue unintended goals, there could be catastrophic…

机器学习 · 计算机科学 2024-11-25 Dylan Xu , Juan-Pablo Rivera

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual…

机器学习 · 计算机科学 2012-07-02 Harald Steck

We adopt a policy optimization viewpoint towards policy evaluation for robust Markov decision process with $\mathrm{s}$-rectangular ambiguity sets. The developed method, named first-order policy evaluation (FRPE), provides the first unified…

最优化与控制 · 数学 2023-08-01 Yan Li , Guanghui Lan

A user-focused verification approach for evaluating probability forecasts of binary outcomes (also known as probabilistic classifiers) is demonstrated that is (i) based on proper scoring rules, (ii) focuses on user decision thresholds, and…

应用统计 · 统计学 2024-03-25 Nicholas Loveday , Robert Taggart , Mohammadreza Khanarmuei

Microfinance, despite its significant potential for poverty reduction, is facing sustainability hardships due to high default rates. Although many methods in regular finance can estimate credit scores and default probabilities, these…

This paper studies robust forward investment and consumption preferences within a zero-volatility context. Different from previous works, we consider an incomplete financial market model due to general investment portfolio constraints. We…

数理金融 · 定量金融 2023-11-20 Wing Fung Chong , Gechun Liang

Credibility theory provides tools to obtain better estimates by combining individual data with sample information. We apply the Credibility theory to a Uniform distribution that is used in testing the reliability of forecasting an interest…

统计金融 · 定量金融 2014-09-18 Matteo Formenti