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Robust MDPs (RMDPs) can be used to compute policies with provable worst-case guarantees in reinforcement learning. The quality and robustness of an RMDP solution are determined by the ambiguity set---the set of plausible transition…

Machine Learning · Computer Science 2019-02-21 Marek Petrik , Reazul Hasan Russell

We study diffusion control problems under parameter uncertainty. Controllers based on plug-in estimation can be brittle due to potential distribution shifts. Bayesian control with a prior on the parameters offers a formulation with beliefs…

Optimization and Control · Mathematics 2026-02-03 Jose Blanchet , Jiayi Cheng , Yuewei Ling , Hao Liu , Yang Liu

Based on the theory of c\`adl\`ag rough paths, we develop a pathwise approach to analyze stability and approximation properties of portfolios along individual price trajectories generated by standard models of financial markets. As a…

Mathematical Finance · Quantitative Finance 2025-07-25 Andrew L. Allan , Anna P. Kwossek , Chong Liu , David J. Prömel

We investigate the probabilistic feasibility of randomized solutions to two distinct classes of uncertain multi-agent optimization programs. We first assume that only the constraints of the program are affected by uncertainty, while the…

Optimization and Control · Mathematics 2020-09-29 George Pantazis , Filiberto Fele , Kostas Margellos

We address the brittleness of Bayesian experimental design under model misspecification by formulating the problem as a max--min game between the experimenter and an adversarial nature subject to information-theoretic constraints. We…

Machine Learning · Statistics 2026-05-13 Hany Abdulsamad , Sahel Iqbal , Christian A. Naesseth , Takuo Matsubara , Adrien Corenflos

In optimal control problems, disturbances are typically dealt with using robust solutions, such as H-infinity or tube model predictive control, that plan control actions feasible for the worst-case disturbance. Yet, planning for every…

Optimization and Control · Mathematics 2020-08-27 Luiz F. O. Chamon , Alexandre Amice , Santiago Paternain , Alejandro Ribeiro

Robustness and safety are critical for the trustworthy deployment of deep reinforcement learning. Real-world decision making applications require algorithms that can guarantee robust performance and safety in the presence of general…

Machine Learning · Computer Science 2024-03-29 James Queeney , Erhan Can Ozcan , Ioannis Ch. Paschalidis , Christos G. Cassandras

Toward explaining the persistence of biased inferences, we propose a framework to evaluate competing (mis)specifications in strategic settings. Agents with heterogeneous (mis)specifications coexist and draw Bayesian inferences about their…

Theoretical Economics · Economics 2023-02-14 Kevin He , Jonathan Libgober

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

In this paper we show that there is a link between approximate Bayesian methods and prior robustness. We show that what is typically recognized as an approximation to the likelihood, either due to the simulated data as in the Approximate…

Methodology · Statistics 2020-04-03 Chaitanya Joshi , Fabrizio Ruggeri

We propose a general framework for studying optimal impulse control problem in the presence of uncertainty on the parameters. Given a prior on the distribution of the unknown parameters, we explain how it should evolve according to the…

Probability · Mathematics 2017-12-06 N. Baradel , B. Bouchard , Ngoc Minh Dang

In robust optimization, we would like to find a solution that is immunized against all scenarios that are modeled in an uncertainty set. Which scenarios to include in such a set is therefore of central importance for the tractability of the…

Optimization and Control · Mathematics 2024-10-14 Jamie Fairbrother , Marc Goerigk , Mohammad Khosravi

We propose a general solution to the problem of robust Bayesian inference in complex settings where outliers may be present. In practice, the automation of robust Bayesian analyses is important in the many applications involving large and…

Methodology · Statistics 2022-04-15 Jeremie Houssineau , David J. Nott

Multi-behavior recommendation faces a critical challenge in practice: auxiliary behaviors (e.g., clicks, carts) are often noisy, weakly correlated, or semantically misaligned with the target behavior (e.g., purchase), which leads to biased…

Information Retrieval · Computer Science 2026-01-22 Miaomiao Cai , Zhijie Zhang , Junfeng Fang , Zhiyong Cheng , Xiang Wang , Meng Wang

The practical use of Bayesian Optimization (BO) in engineering applications imposes special requirements: high sampling efficiency on the one hand and finding a robust solution on the other hand. We address the case of adversarial…

Machine Learning · Computer Science 2024-06-03 Dorina Weichert , Alexander Kister , Sebastian Houben , Patrick Link , Gunar Ernis

We address the problem of observation noise misspecification in Bayesian filtering of dynamical systems via recent advances in generalised Bayesian inference. Mis-match in tail decay between the true data generating process and an assumed…

Statistics Theory · Mathematics 2026-05-27 Hans Reimann , Sebastian Reich

Certified robustness circumvents the fragility of defences against adversarial attacks, by endowing model predictions with guarantees of class invariance for attacks up to a calculated size. While there is value in these certifications, the…

Machine Learning · Computer Science 2023-09-21 Andrew C. Cullen , Paul Montague , Shijie Liu , Sarah M. Erfani , Benjamin I. P. Rubinstein

We consider decision-making problems that are formulated as non-convex optimization programs where uncertainty enters the constraints through an additive term, independent of the decision variables, and robustness is imposed using a finite…

Optimization and Control · Mathematics 2026-02-25 Alexander J Gallo , Massimiliano Zoggia , Alessandro Falsone , Maria Prandini , Simone Garatti

The robustness of the stability properties of dynamical systems in the presence of unknown/adversarial perturbations to system parameters is a desirable property. In this paper, we present methods to efficiently compute and improve the…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Ananta Kant Rai , Vaibhav Katewa

In control theory, typically a nominal model is assumed based on which an optimal control is designed and then applied to an actual (true) system. This gives rise to the problem of performance loss due to the mismatch between the true model…

Optimization and Control · Mathematics 2023-09-19 Somnath Pradhan , Serdar Yuksel