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We study a class of sequential decision-making problems with augmented predictions, potentially provided by a machine learning algorithm. In this setting, the decision-maker receives prediction intervals for unknown parameters that become…

Machine Learning · Computer Science 2025-05-05 Xin Chen , Yuze Chen , Yuan Zhou

As data-driven predictive models are increasingly used to inform decisions, it has been argued that decision makers should provide explanations that help individuals understand what would have to change for these decisions to be beneficial…

Machine Learning · Computer Science 2020-10-15 Stratis Tsirtsis , Manuel Gomez-Rodriguez

We study the Constrained Convex Markov Decision Process (MDP), where the goal is to minimize a convex functional of the visitation measure, subject to a convex constraint. Designing algorithms for a constrained convex MDP faces several…

Machine Learning · Computer Science 2024-02-19 Zihao Li , Boyi Liu , Zhuoran Yang , Zhaoran Wang , Mengdi Wang

Multi-agent Markov Decision Process (MMDP) has been an effective way of modelling sequential decision making algorithms for multi-agent cooperative environments. A number of algorithms based on centralized and decentralized planning have…

Artificial Intelligence · Computer Science 2021-10-19 Rafid Ameer Mahmud , Fahim Faisal , Saaduddin Mahmud , Md. Mosaddek Khan

The goal of a traditional Markov decision process (MDP) is to maximize expected cumulative reward over a defined horizon (possibly infinite). In many applications, however, a decision maker may be interested in optimizing a specific…

Artificial Intelligence · Computer Science 2025-10-16 Xiaocheng Li , Huaiyang Zhong , Margaret L. Brandeau

Many physical systems have underlying safety considerations that require that the policy employed ensures the satisfaction of a set of constraints. The analytical formulation usually takes the form of a Constrained Markov Decision Process…

Machine Learning · Computer Science 2021-03-03 Aria HasanzadeZonuzy , Archana Bura , Dileep Kalathil , Srinivas Shakkottai

We consider a discounted cost constrained Markov decision process (CMDP) policy optimization problem, in which an agent seeks to maximize a discounted cumulative reward subject to a number of constraints on discounted cumulative utilities.…

Optimization and Control · Mathematics 2024-11-21 Sihan Zeng , Thinh T. Doan , Justin Romberg

Many payment platforms hold large-scale marketing campaigns, which allocate incentives to encourage users to pay through their applications. To maximize the return on investment, incentive allocations are commonly solved in a two-stage…

Machine Learning · Computer Science 2022-01-03 Xuanying Chen , Zhining Liu , Li Yu , Sen Li , Lihong Gu , Xiaodong Zeng , Yize Tan , Jinjie Gu

This paper studies the problem of Anytime-Competitive Markov Decision Process (A-CMDP). Existing works on Constrained Markov Decision Processes (CMDPs) aim to optimize the expected reward while constraining the expected cost over random…

Machine Learning · Computer Science 2024-02-06 Jianyi Yang , Pengfei Li , Tongxin Li , Adam Wierman , Shaolei Ren

Despite the success of neural-based combinatorial optimization methods for end-to-end heuristic learning, out-of-distribution generalization remains a challenge. In this paper, we present a novel formulation of Combinatorial Optimization…

Machine Learning · Computer Science 2023-10-02 Darko Drakulic , Sofia Michel , Florian Mai , Arnaud Sors , Jean-Marc Andreoli

There are no computationally feasible algorithms that provide solutions to the finite horizon Risk-sensitive Constrained Markov Decision Process (Risk-CMDP) problem, even for problems with moderate horizon. With an aim to design the same,…

Optimization and Control · Mathematics 2023-03-27 Vartika Singh , Veeraruna Kavitha

Today's top advertisers typically manage hundreds of campaigns simultaneously and consistently launch new ones throughout the year. A crucial challenge for marketing managers is determining the optimal allocation of limited budgets across…

Machine Learning · Statistics 2024-09-04 Lin Ge , Yang Xu , Jianing Chu , David Cramer , Fuhong Li , Kelly Paulson , Rui Song

In today's economy, it becomes important for Internet platforms to consider the sequential information design problem to align its long term interest with incentives of the gig service providers. This paper proposes a novel model of…

Artificial Intelligence · Computer Science 2022-02-23 Jibang Wu , Zixuan Zhang , Zhe Feng , Zhaoran Wang , Zhuoran Yang , Michael I. Jordan , Haifeng Xu

In this paper, we study a mean-variance optimization problem in an infinite horizon discrete time discounted Markov decision process (MDP). The objective is to minimize the variance of system rewards with the constraint of mean performance.…

Optimization and Control · Mathematics 2017-08-24 Li Xia

In this paper, we study Markov Decision Processes (MDPs) with self-triggered strategies, where the idea of self-triggered control is extended to more generic MDP models. This extension broadens the application of self-triggering policies to…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Yunhan Huang , Quanyan Zhu

We consider the problem of solving robust Markov decision process (MDP), which involves a set of discounted, finite state, finite action space MDPs with uncertain transition kernels. The goal of planning is to find a robust policy that…

Machine Learning · Computer Science 2023-06-13 Yan Li , Guanghui Lan , Tuo Zhao

Content caching in wireless networks provides a substantial opportunity to trade off low cost memory storage with energy consumption, yet finding the optimal causal policy with low computational complexity remains a challenge. This paper…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Zhijie Chen , Hoshyar Mohammed , Wei Chen

In robot planning, tasks can often be achieved through multiple options, each consisting of several actions. This work specifically addresses deadline constraints in task and motion planning, aiming to find a plan that can be executed…

Robotics · Computer Science 2024-10-10 Yoonchang Sung , Shahaf S. Shperberg , Qi Wang , Peter Stone

Personalization in machine learning (ML) tailors models' decisions to the individual characteristics of users. While this approach has seen success in areas like recommender systems, its expansion into high-stakes fields such as healthcare…

Machine Learning · Computer Science 2024-01-15 Dmitry Ivanov , Omer Ben-Porat

This note re-visits the rolling-horizon control approach to the problem of a Markov decision process (MDP) with infinite-horizon discounted expected reward criterion. Distinguished from the classical value-iteration approach, we develop an…

Optimization and Control · Mathematics 2022-06-07 Hyeong Soo Chang