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Bayesian optimization is a methodology for global optimization of unknown and expensive objectives. It combines a surrogate Bayesian regression model with an acquisition function to decide where to evaluate the objective. Typical regression…

Machine Learning · Computer Science 2023-04-04 Afonso Eduardo , Michael U. Gutmann

In this work, we approach the minimization of a continuously differentiable convex function under linear equality constraints by a second-order dynamical system with an asymptotically vanishing damping term. The system under consideration…

Optimization and Control · Mathematics 2022-09-15 David Alexander Hulett , Dang-Khoa Nguyen

In the article the necessary and sufficient conditions for a representation of Lipschitz function of two variables as a difference of two convex functions are formulated. An algorithm of this representation is given. The outcome of this…

Optimization and Control · Mathematics 2025-02-07 Igor Proudnikov

The popularity of Bayesian optimization methods for efficient exploration of parameter spaces has lead to a series of papers applying Gaussian processes as surrogates in the optimization of functions. However, most proposed approaches only…

Machine Learning · Statistics 2015-10-16 Javier González , Zhenwen Dai , Philipp Hennig , Neil D. Lawrence

We establish a super-replication duality in a continuous-time financial model where an investor's trades adversely affect bid- and ask-prices for a risky asset and where market resilience drives the resulting spread back towards zero at an…

Pricing of Securities · Quantitative Finance 2019-05-20 Peter Bank , Yan Dolinsky

For incomplete preference relations that are represented by multiple priors and/or multiple -- possibly multivariate -- utility functions, we define a certainty equivalent as well as the utility buy and sell prices and indifference price…

Optimization and Control · Mathematics 2021-04-06 Birgit Rudloff , Firdevs Ulus

We consider large-scale Markov decision processes with an unknown cost function and address the problem of learning a policy from a finite set of expert demonstrations. We assume that the learner is not allowed to interact with the expert…

Machine Learning · Computer Science 2021-12-30 Angeliki Kamoutsi , Goran Banjac , John Lygeros

A sender persuades a strategically naive decisionmaker (DM) by committing privately to an experiment. Sender's choice of experiment is unknown to the DM, who must form her posterior beliefs nonparametrically by applying some learning rule…

Theoretical Economics · Economics 2025-11-10 Arnav Sood , James Best

We focus on the scenario in which an agent can exploit his information advantage to manipulate the outcome of an election. In particular, we study district-based elections with two candidates, in which the winner of the election is the…

Computer Science and Game Theory · Computer Science 2020-12-11 Matteo Castiglioni , Nicola Gatti

We study a regularized variant of the Bayesian Persuasion problem, where the receiver's decision process includes a divergence-based penalty that accounts for deviations from perfect rationality. This modification smooths the underlying…

Optimization and Control · Mathematics 2025-10-03 Romain Duboscq , Frédéric de Gournay

In this paper, we propose a continuous-time primal-dual approach for linearly constrained multiobjective optimization problems. A novel dynamical model, called accelerated multiobjective primal-dual flow, is presented with a second-order…

Optimization and Control · Mathematics 2025-11-06 Hao Luo , Qiaoyuan Shu , Xinmin Yang

Bayesian optimization is a sample-efficient method for solving expensive, black-box optimization problems. Stochastic programming concerns optimization under uncertainty where, typically, average performance is the quantity of interest. In…

Machine Learning · Statistics 2025-02-19 Jack M. Buckingham , Ivo Couckuyt , Juergen Branke

Most inverse optimization models impute unspecified parameters of an objective function to make an observed solution optimal for a given optimization problem with a fixed feasible set. We propose two approaches to impute unspecified…

Optimization and Control · Mathematics 2019-07-19 Timothy C. Y. Chan , Neal Kaw

We consider bilevel linear problems, where the right-hand side of the lower level problems is stochastic. The leader has to decide in a here-and-now fashion, while the follower has complete information. In this setting, the leader's outcome…

Optimization and Control · Mathematics 2019-07-11 Johanna Burtscheidt , Matthias Claus

We study Bayesian persuasion under approximate best response, where the receiver may choose any action that is not too much suboptimal given their posterior belief upon receiving the signal. We focus on the computational aspects of the…

Computer Science and Game Theory · Computer Science 2024-02-14 Kunhe Yang , Hanrui Zhang

We study Bayesian persuasion when the receiver evaluates actions by reward-side Conditional Value-at-Risk (CVaR) rather than expected utility. CVaR preferences break the standard action-based direct-recommendation reduction: merging signals…

Computer Science and Game Theory · Computer Science 2026-05-13 Yujing Chen

We study the design of functional incentive mechanisms for dynamical systems, in which a leader designs a fixed incentive function to motivate a self-interested follower to actuate the system beneficially over an extended horizon, without…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Jonas G. Matt , Saverio Bolognani , Florian Dörfler

We study a Bayesian persuasion game where a sender wants to persuade a receiver to take a binary action, such as purchasing a product. The sender is informed about the (real-valued) state of the world, such as the quality of the product,…

Computer Science and Game Theory · Computer Science 2025-02-13 Keegan Harris , Nicole Immorlica , Brendan Lucier , Aleksandrs Slivkins

This paper proposes a novel method for demand forecasting in a pricing context. Here, modeling the causal relationship between price as an input variable to demand is crucial because retailers aim to set prices in a (profit) optimal manner…

We revisit two classical problems: the determination of the law of the underlying with respect to a risk-neutral measure on the basis of option prices, and the pricing of options with convex payoffs in terms of prices of call options with…

Pricing of Securities · Quantitative Finance 2021-09-14 Carlo Marinelli
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