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LLMs are increasingly used to make or support high-stakes decisions under uncertainty, where alignment depends not only on factual accuracy but on how models weigh tradeoffs between different outcomes. We present an empirical pipeline for…

Machine Learning · Computer Science 2026-05-12 Khurram Yamin , Jingjing Tang , Eric Horvitz , Bryan Wilder

This paper studies Pareto-optimal reinsurance design in a monopolistic market with multiple primary insurers and a single reinsurer, all with heterogeneous risk preferences. The risk preferences are characterized by a family of risk…

Risk Management · Quantitative Finance 2025-12-15 Tim J. Boonen , Xia Han , Peng Liu , Jiacong Wang

We consider optimal design of infinite-dimensional Bayesian linear inverse problems governed by partial differential equations that contain secondary reducible model uncertainties, in addition to the uncertainty in the inversion parameters.…

Optimization and Control · Mathematics 2020-06-23 Alen Alexanderian , Noemi Petra , Georg Stadler , Isaac Sunseri

This paper proposes a bilevel transit network design problem considering supply side uncertainty. The upper level problem determines frequency settings to simultaneously maximize the efficiency and equity measures, which are defined by the…

Physics and Society · Physics 2020-05-06 Yu Jiang

Although neural networks are powerful function approximators, the underlying modelling assumptions ultimately define the likelihood and thus the hypothesis class they are parameterizing. In classification, these assumptions are minimal as…

Machine Learning · Computer Science 2021-11-24 Maria R. Cervera , Rafael Dätwyler , Francesco D'Angelo , Hamza Keurti , Benjamin F. Grewe , Christian Henning

To solve a real-world problem, the modeler usually needs to make a trade-off between model complexity and usefulness. This is also true for robust optimization, where a wide range of models for uncertainty, so-called uncertainty sets, have…

Optimization and Control · Mathematics 2019-01-14 Francis Garuba , Marc Goerigk , Peter Jacko

We propose and axiomatize preferences on a product state space in light of uncertainty regarding the dependency of different payoff-relevant factors. Dependence structures allow to decompose probabilities and allow to pin down behavior…

Theoretical Economics · Economics 2026-05-28 Gerrit Bauch , Lorenz Hartmann

Reliability-based design optimization (RBDO) approaches aim to identify the best design of an engineering problem, whilst the probability of failure (PoF) remains below an acceptable value. Thus, the incorporation of the sharpest bounds on…

Computational Engineering, Finance, and Science · Computer Science 2025-03-18 Niklas Miska , Daniel Balzani

The ranking and selection problem is a popular framework in the simulation literature for studying optimal information collection. We study a version of this problem in which the simulation output for each design is normally distributed…

Optimization and Control · Mathematics 2025-09-03 Jianzhong Du , Ilya O. Ryzhov , Siyang Gao

This paper studies the propagation of finite-sample uncertainty under nonlinear transformations commonly used in statistical decision systems. In particular, we consider process capability indices, which are widely used in manufacturing…

Applications · Statistics 2026-05-11 Fei Jiang , Lei Yang

Designing fair algorithmic decision systems requires balancing model performance with fairness toward affected individuals: More fairness might require sacrificing some performance and vice versa, yet the space of possible trade-offs is…

Machine Learning · Computer Science 2026-05-12 Mieke Wilms , Christoph Heitz

Current work in planning with preferences assume that the user's preference models are completely specified and aim to search for a single solution plan. In many real-world planning scenarios, however, the user probably cannot provide any…

Artificial Intelligence · Computer Science 2015-03-17 Tuan Nguyen , Minh Do , Alfonso Gerevini , Ivan Serina , Biplav Srivastava , Subbarao Kambhampati

We consider the sequential experimental design problem in the predict-then-optimize paradigm. In this paradigm, the outputs of the prediction model are used as coefficient vectors in a downstream linear optimization problem. Traditional…

Machine Learning · Statistics 2026-02-06 Beichen Wan , Mo Liu , Paul Grigas , Zuo-Jun Max Shen

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

Optimization and Control · Mathematics 2024-01-04 Yuya Hikima , Akiko Takeda

Design-based frameworks of uncertainty are frequently used in settings where the treatment is (conditionally) randomly assigned. This paper develops a design-based framework suitable for analyzing quasi-experimental settings in the social…

Econometrics · Economics 2025-06-17 Ashesh Rambachan , Jonathan Roth

To analyze the uncertain data frequently encountered in practice, this paper proposes novel fixed-effects models that incorporate an uncertain measure to investigate variables of interest and nuisance variables in factor designs. First, an…

Methodology · Statistics 2026-03-18 Fan Zhang , Zhiming Li

Explainability and uncertainty quantification are key to trustable artificial intelligence. However, the reasoning behind uncertainty estimates is generally left unexplained. Identifying the drivers of uncertainty complements explanations…

Machine Learning · Computer Science 2025-05-13 Pascal Iversen , Simon Witzke , Katharina Baum , Bernhard Y. Renard

Estimating the uncertainty in deep neural network predictions is crucial for many real-world applications. A common approach to model uncertainty is to choose a parametric distribution and fit the data to it using maximum likelihood…

Machine Learning · Computer Science 2022-11-28 Ali Harakeh , Jordan Hu , Naiqing Guan , Steven L. Waslander , Liam Paull

This paper addresses the problem of stochastic optimization with decision-dependent uncertainty, a class of problems where the probability distribution of the uncertain parameters is influenced by the decision-maker's actions. While recent…

Optimization and Control · Mathematics 2025-09-12 John Cotrina , Gonzalo Flores , David Salas , Anton Svensson

Design under uncertainty is a challenging problem, as a systems performance can be highly sensitive to variations in input parameters and model uncertainty. A conventional approach to addressing such problems is robust optimization, which…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Maryam Ghasemzadeh , H M Dilshad Alam Digonta , Anand Balu Nellippallil , Anton van Beek