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Many potential applications of reinforcement learning (RL) require guarantees that the agent will perform well in the face of disturbances to the dynamics or reward function. In this paper, we prove theoretically that maximum entropy…

Machine Learning · Computer Science 2022-05-06 Benjamin Eysenbach , Sergey Levine

One way to make decisions under uncertainty is to select an optimal option from a possible range of options, by maximizing the expected utilities derived from a probability model. However, under severe uncertainty, identifying precise…

Statistics Theory · Mathematics 2024-03-06 Nawapon Nakharutai , Sébastien Destercke , Matthias C. M. Troffaes

Machine learning (especially reinforcement learning) methods for trading are increasingly reliant on simulation for agent training and testing. Furthermore, simulation is important for validation of hand-coded trading strategies and for…

Trading and Market Microstructure · Quantitative Finance 2019-12-12 Svitlana Vyetrenko , David Byrd , Nick Petosa , Mahmoud Mahfouz , Danial Dervovic , Manuela Veloso , Tucker Hybinette Balch

We use the randomization idea and proof techniques from optimal transport to study optimal reinsurance problems. We start by providing conditions for a class of problems that allow us to characterize the support of optimal treaties, and…

Optimization and Control · Mathematics 2024-11-04 Beatrice Acciaio , Hansjörg Albrecher , Brandon García Flores

We consider a general statistical learning problem where an unknown fraction of the training data is corrupted. We develop a robust learning method that only requires specifying an upper bound on the corrupted data fraction. The method…

Machine Learning · Statistics 2020-02-10 Muhammad Osama , Dave Zachariah , Peter Stoica

In this work, we study sequential contracts under matroid constraints. In the sequential setting, an agent can take actions one by one. After each action, the agent observes the stochastic value of the action and then decides which action…

Computer Science and Game Theory · Computer Science 2026-02-04 Kanstantsin Pashkovich , Jacob Skitsko , Yun Xing

In this paper, we ask the question of why the quality of commercial software, in terms of security and safety, does not measure up to that of other (durable) consumer goods we have come to expect. We examine this question through the lens…

Cryptography and Security · Computer Science 2025-06-11 Gergely Biczók , Sasha Romanosky , Mingyan Liu

Mode estimation is a classical problem in statistics with a wide range of applications in machine learning. Despite this, there is little understanding in its robustness properties under possibly adversarial data contamination. In this…

Machine Learning · Computer Science 2020-03-09 Aldo Pacchiano , Heinrich Jiang , Michael I. Jordan

We construct an empirically founded model of a repo trade intermediated by two broker-dealers and prove multiple equilibrium and the existence of equilibrium at the joint profit maximizing volume of trade. We then present a smart contract…

Theoretical Economics · Economics 2026-04-21 Daniel Aronoff , Robert M. Townsend

The effects of model parameter uncertainty on traffic flow control problems have recently drawn research attention. While the uncertainty in fundamental diagram related parameters has been investigated in the past, few articles have focused…

Optimization and Control · Mathematics 2021-03-09 Hao Liu , Christian Claudel , Randy Machemehl , Kenneth A. Perrine

The fragility of deep neural networks to adversarially-chosen inputs has motivated the need to revisit deep learning algorithms. Including adversarial examples during training is a popular defense mechanism against adversarial attacks. This…

Optimization and Control · Mathematics 2020-05-05 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

This paper investigates Pareto optimal (PO, for short) insurance contracts in a behavioral finance framework, in which the insured evaluates contracts by the rank-dependent utility (RDU) theory and the insurer by the expected value premium…

Mathematical Finance · Quantitative Finance 2021-08-17 Zuo Quan Xu

With the fragmentation of electronic markets, exchanges are now competing in order to attract trading activity on their platform. Consequently, they developed several regulatory tools to control liquidity provision / consumption on their…

Optimization and Control · Mathematics 2022-10-17 Bastien Baldacci , Philippe Bergault

Calibration has emerged as a foundational goal in ``trustworthy machine learning'', in part because of its strong decision theoretic semantics. Independent of the underlying distribution, and independent of the decision maker's utility…

Machine Learning · Statistics 2025-10-28 Shayan Kiyani , Hamed Hassani , George Pappas , Aaron Roth

Deep Reinforcement Learning (DRL) has gained prominence as an effective approach for control systems. However, its practical deployment is impeded by state perturbations that can severely impact system performance. Addressing this critical…

Artificial Intelligence · Computer Science 2023-12-18 Dapeng Zhi , Peixin Wang , Cheng Chen , Min Zhang

We propose to study electricity capacity remuneration mechanism design through a Principal-Agent approach. The Principal represents the aggregation of electricity consumers (or a representative entity), subject to the physical risk of…

General Economics · Economics 2020-09-02 Clémence Alasseur , Heythem Farhat , Marcelo Saguan

Optimal reinsurance when Value at Risk and expected surplus is balanced through their ratio is studied, and it is demonstrated how results for risk-adjusted surplus can be utilized. Simplifications for large portfolios are derived, and this…

Applications · Statistics 2019-12-10 Erik Bølviken , Yinzhi Wang

In regulatory proceedings, few issues are more hotly debated than the cost of capital. This article formalises the theoretical foundation of cost of capital estimation for regulatory purposes. Several common regulatory practices lack a…

General Economics · Economics 2023-03-21 Darryl Biggar

Robust Optimization has traditionally taken a pessimistic, or worst-case viewpoint of uncertainty which is motivated by a desire to find sets of optimal policies that maintain feasibility under a variety of operating conditions. In this…

Machine Learning · Statistics 2017-11-22 Matthew Norton , Akiko Takeda , Alexander Mafusalov

Robust machine learning formulations have emerged to address the prevalent vulnerability of deep neural networks to adversarial examples. Our work draws the connection between optimal robust learning and the privacy-utility tradeoff…

Machine Learning · Computer Science 2021-05-20 Ye Wang , Shuchin Aeron , Adnan Siraj Rakin , Toshiaki Koike-Akino , Pierre Moulin
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