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We employ a natural method from the perspective of the optimal stopping theory to analyze entry-exit decisions with implementation delay of a project, and provide closed expressions for optimal entry decision times, optimal exit decision…

最优化与控制 · 数学 2015-12-01 Yong-Chao Zhang

Learning in a lifelong setting, where the dynamics continually evolve, is a hard challenge for current reinforcement learning algorithms. Yet this would be a much needed feature for practical applications. In this paper, we propose an…

机器学习 · 计算机科学 2021-12-14 Pierre Liotet , Francesco Vidaich , Alberto Maria Metelli , Marcello Restelli

Bayesian decision theory provides an elegant framework for acting optimally under uncertainty when tractable posterior distributions are available. Modern Bayesian models, however, typically involve intractable posteriors that are…

机器学习 · 计算机科学 2021-06-15 Meet P. Vadera , Soumya Ghosh , Kenney Ng , Benjamin M. Marlin

We present a framework for the efficient computation of optimal Bayesian decisions under intractable likelihoods, by learning a surrogate model for the expected utility (or its distribution) as a function of the action and data spaces. We…

机器学习 · 统计学 2023-11-13 Justin Alsing , Thomas D. P. Edwards , Benjamin Wandelt

Minimizing volatility and adjustment costs is of central importance in many economic environments, yet it is often complicated by evolving feasibility constraints. We study a decision maker who repeatedly selects an action from a…

理论经济学 · 经济学 2026-02-18 Simon Jantschgi , Heinrich H. Nax , Bary S. R. Pradelski , Marek Pycia

We study a discrete-time portfolio selection problem with partial information and maxi\-mum drawdown constraint. Drift uncertainty in the multidimensional framework is modeled by a prior probability distribution. In this Bayesian framework,…

投资组合管理 · 定量金融 2020-11-02 Carmine De Franco , Johann Nicolle , Huyên Pham

This survey reviews portfolio selection problem for long-term horizon. We consider two objectives: (i) maximize the probability for outperforming a target growth rate of wealth process (ii) minimize the probability of falling below a target…

投资组合管理 · 定量金融 2014-08-28 Huyen Pham

Real-world applications of reinforcement learning for recommendation and experimentation faces a practical challenge: the relative reward of different bandit arms can evolve over the lifetime of the learning agent. To deal with these…

机器学习 · 计算机科学 2022-06-29 Srivas Chennu , Andrew Maher , Jamie Martin , Subash Prabanantham

I introduce a dynamic model of learning and random meetings between a long-lived agent with unknown ability and heterogeneous projects with observable qualities. The outcomes of the agent's matches with the projects determine her posterior…

理论经济学 · 经济学 2024-04-30 Farzad Pourbabaee

Bayesian Optimization critically depends on the choice of acquisition function, but no single strategy is universally optimal; the best choice is non-stationary and problem-dependent. Existing adaptive portfolio methods often base their…

机器学习 · 计算机科学 2026-02-10 Giang Ngo , Dat Phan Trong , Dang Nguyen , Sunil Gupta , Svetha Venkatesh

In this work we study the optimal execution problem with multiplicative price impact in algorithm trading, when an agent holds an initial position of shares of a financial asset. The inter-selling-decision times are modelled by the arrival…

数理金融 · 定量金融 2018-05-04 Daniel Hernández-Hernández , Harold A. Moreno-Franco , José Luis Pérez

Methods for learning optimal policies use causal machine learning models to create human-interpretable rules for making choices around the allocation of different policy interventions. However, in realistic policy-making contexts,…

机器学习 · 计算机科学 2023-10-18 Patrick Rehill , Nicholas Biddle

Sample-efficient exploration is crucial not only for discovering rewarding experiences but also for adapting to environment changes in a task-agnostic fashion. A principled treatment of the problem of optimal input synthesis for system…

机器学习 · 计算机科学 2019-10-10 Matthias Schultheis , Boris Belousov , Hany Abdulsamad , Jan Peters

Temporal abstraction allows reinforcement learning agents to represent knowledge and develop strategies over different temporal scales. The option-critic framework has been demonstrated to learn temporally extended actions, represented as…

机器学习 · 计算机科学 2025-11-21 Anand Kamat , Doina Precup

We consider the problem of learning from revealed preferences in an online setting. In our framework, each period a consumer buys an optimal bundle of goods from a merchant according to her (linear) utility function and current prices,…

数据结构与算法 · 计算机科学 2014-12-02 Kareem Amin , Rachel Cummings , Lili Dworkin , Michael Kearns , Aaron Roth

We consider the estimation of the multi-period optimal portfolio obtained by maximizing an exponential utility. Employing Jeffreys' non-informative prior and the conjugate informative prior, we derive stochastic representations for the…

统计理论 · 数学 2023-04-19 David Bauder , Taras Bodnar , Nestor Parolya , Wolfgang Schmid

In many repeated auction settings, participants care not only about how frequently they win but also how their winnings are distributed over time. This problem arises in various practical domains where avoiding congested demand is crucial,…

计算机科学与博弈论 · 计算机科学 2025-06-13 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Raunak Kumar , Yishay Mansour , Éva Tardos

This paper solves the consumption-investment problem under Epstein-Zin preferences on a random horizon. In an incomplete market, we take the random horizon to be a stopping time adapted to the market filtration, generated by all observable,…

数理金融 · 定量金融 2024-01-09 Joshua Aurand , Yu-Jui Huang

Online controlled experiments (A/B tests) are fundamental to data-driven decision-making in the digital economy. However, their real-world application is frequently compromised by two critical shortcomings: the use of statistically flawed…

应用统计 · 统计学 2025-09-30 Srijesh Pillai , Rajesh Kumar Chandrawat

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

数理金融 · 定量金融 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser