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Optimizing static risk-averse objectives in Markov decision processes is difficult because they do not admit standard dynamic programming equations common in Reinforcement Learning (RL) algorithms. Dynamic programming decompositions that…

最优化与控制 · 数学 2024-07-04 Jia Lin Hau , Erick Delage , Mohammad Ghavamzadeh , Marek Petrik

In this paper we address the problem of decision making within a Markov decision process (MDP) framework where risk and modeling errors are taken into account. Our approach is to minimize a risk-sensitive conditional-value-at-risk (CVaR)…

人工智能 · 计算机科学 2015-06-09 Yinlam Chow , Aviv Tamar , Shie Mannor , Marco Pavone

Built on our previous study on green simulation assisted policy gradient (GS-PG) focusing on trajectory-based reuse, in this paper, we consider infinite-horizon Markov Decision Processes and create a new importance sampling based policy…

机器学习 · 计算机科学 2022-06-22 Hua Zheng , Wei Xie

In this work, we tackle the problem of minimising the Conditional-Value-at-Risk (CVaR) of output quantities of complex differential models with random input data, using gradient-based approaches in combination with the Multi-Level Monte…

数值分析 · 数学 2023-10-16 Sundar Ganesh , Fabio Nobile

Conditional Value-at-Risk (CVaR) is a leading tail-risk measure in finance, central to both regulatory and portfolio optimization frameworks. Classical estimation of CVaR and its gradients relies on Monte Carlo simulation, incurring…

量子物理 · 物理学 2026-05-19 Vasilis Skarlatos , Nikos Konofaos

Conditional Value at Risk (CVaR) is a family of "coherent risk measures" which generalize the traditional mathematical expectation. Widely used in mathematical finance, it is garnering increasing interest in machine learning, e.g., as an…

机器学习 · 计算机科学 2020-11-17 Zakaria Mhammedi , Benjamin Guedj , Robert C. Williamson

Considering non-stationary environments in online optimization enables decision-maker to effectively adapt to changes and improve its performance over time. In such cases, it is favorable to adopt a strategy that minimizes the negative…

系统与控制 · 电气工程与系统科学 2024-04-05 Siyi Wang , Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson , Sandra Hirche

Low-rank matrix completion has achieved great success in many real-world data applications. A matrix factorization model that learns latent features is usually employed and, to improve prediction performance, the similarities between latent…

机器学习 · 统计学 2020-01-28 Kaiyi Ji , Jian Tan , Jinfeng Xu , Yuejie Chi

While standard reinforcement learning optimizes a single reward signal, many applications require optimizing a nonlinear utility $f(J_1^\pi,\dots,J_M^\pi)$ over multiple objectives, where each $J_m^\pi$ denotes the expected discounted…

机器学习 · 计算机科学 2026-03-10 Swetha Ganesh , Vaneet Aggarwal

This paper studies the optimization of Markov decision processes (MDPs) from a risk-seeking perspective, where the risk is measured by conditional value-at-risk (CVaR). The objective is to find a policy that maximizes the long-run CVaR of…

最优化与控制 · 数学 2023-12-05 Li Xia , Zhihui Yu , Peter W. Glynn

This paper studies a distributed policy gradient in collaborative multi-agent reinforcement learning (MARL), where agents over a communication network aim to find the optimal policy to maximize the average of all agents' local returns. Due…

多智能体系统 · 计算机科学 2022-12-06 Xiaoxiao Zhao , Jinlong Lei , Li Li , Jie Chen

The paper Zhao et al. (2015) shows that mean-CVaR-skewness portfolio optimization problems based on asymetric Laplace (AL) distributions can be transformed into quadratic optimization problems under which closed form solutions can be found.…

投资组合管理 · 定量金融 2023-02-20 Nuerxiati Abudurexiti , Kai He , Dongdong Hu , Svetlozar T. Rachev , Hasanjan Sayit , Ruoyu Sun

Machine learning (ML) models used in prediction and classification tasks may display performance disparities across population groups determined by sensitive attributes (e.g., race, sex, age). We consider the problem of evaluating the…

机器学习 · 计算机科学 2024-05-28 Lucas Monteiro Paes , Ananda Theertha Suresh , Alex Beutel , Flavio P. Calmon , Ahmad Beirami

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

统计方法学 · 统计学 2021-10-19 Edouard Ollier

Chance-constrained programs (CCPs) provide a powerful modeling framework for decision-making under uncertainty, but their nonconvex feasible regions make them computationally challenging. A widely used convex inner approximation replaces…

最优化与控制 · 数学 2026-03-31 Rui Chen , Nan Jiang

We show how to reduce the problem of computing VaR and CVaR with Student T return distributions to evaluation of analytical functions of the moments. This allows an analysis of the risk properties of systems to be carefully attributed…

投资组合管理 · 定量金融 2011-03-01 William T. Shaw

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

统计方法学 · 统计学 2016-12-23 Marbac Matthieu , Sedki Mohammed

By leveraging differentiable dynamics, Reparameterization Policy Gradient (RPG) achieves high sample efficiency. However, current approaches are hindered by two critical limitations: the under-utilization of computationally expensive…

机器学习 · 计算机科学 2026-02-09 Hai Zhong , Xun Wang , Zhuoran Li , Longbo Huang

Reinforcement learning demonstrated immense success in modelling complex physics-driven systems, providing end-to-end trainable solutions by interacting with a simulated or real environment, maximizing a scalar reward signal. In this work,…

计算物理 · 物理学 2025-01-10 Tobias Kortus , Ralf Keidel , Nicolas R. Gauger , Jan Kieseler

We develop a reinforcement learning (RL) framework for insurance loss reserving that formulates reserve setting as a finite-horizon sequential decision problem under claim development uncertainty, macroeconomic stress, and solvency…

机器学习 · 计算机科学 2026-03-24 Stella C. Dong