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We consider simple bilevel optimization problems where the goal is to compute among the optimal solutions of a composite convex optimization problem, one that minimizes a secondary objective function. Our main contribution is threefold. (i)…

最优化与控制 · 数学 2025-04-14 Sepideh Samadi , Daniel Burbano , Farzad Yousefian

In this paper, we study a class of bilevel optimization problems, also known as simple bilevel optimization, where we minimize a smooth objective function over the optimal solution set of another convex constrained optimization problem.…

最优化与控制 · 数学 2023-04-25 Ruichen Jiang , Nazanin Abolfazli , Aryan Mokhtari , Erfan Yazdandoost Hamedani

We consider the task of estimating a structural model of dynamic decisions by a human agent based upon the observable history of implemented actions and visited states. This problem has an inherent nested structure: in the inner problem, an…

机器学习 · 计算机科学 2024-03-04 Siliang Zeng , Mingyi Hong , Alfredo Garcia

Reinforcement learning usually assumes a given or sometimes even fixed environment in which an agent seeks an optimal policy to maximize its long-term discounted reward. In contrast, we consider agents that are not limited to passive…

机器学习 · 计算机科学 2025-10-20 Ziqing Lu , Babak Hassibi , Lifeng Lai , Weiyu Xu

In this paper, we propose a novel distributed algorithm to optimize the emergent macroscopic behavior of large-scale multi-agent systems via microscopic actions. We cast this task as a bilevel optimization problem, where the upper level…

最优化与控制 · 数学 2026-04-14 Riccardo Brumali , Guido Carnevale , Sonia Martínez , Giuseppe Notarstefano

Multi-objective learning under user-specified preference is common in real-world problems such as multi-lingual speech recognition under fairness. In this work, we frame such a problem as a semivectorial bilevel optimization problem, whose…

最优化与控制 · 数学 2025-04-07 Lisha Chen , Quan Xiao , Ellen Hidemi Fukuda , Xinyi Chen , Kun Yuan , Tianyi Chen

We show that the simplest actor-critic method -- a linear softmax policy updated with TD through interaction with a linear MDP, but featuring no explicit regularization or exploration -- does not merely find an optimal policy, but moreover…

机器学习 · 计算机科学 2022-03-15 Yuzheng Hu , Ziwei Ji , Matus Telgarsky

This work presents the first projection-free algorithm to solve stochastic bi-level optimization problems, where the objective function depends on the solution of another stochastic optimization problem. The proposed $\textbf{S}$tochastic…

最优化与控制 · 数学 2023-02-08 Zeeshan Akhtar , Amrit Singh Bedi , Srujan Teja Thomdapu , Ketan Rajawat

We propose policy gradient algorithms for solving a risk-sensitive reinforcement learning (RL) problem in on-policy as well as off-policy settings. We consider episodic Markov decision processes, and model the risk using the broad class of…

机器学习 · 计算机科学 2024-06-25 Nithia Vijayan , Prashanth L. A

In this work, we study first-order algorithms for solving Bilevel Optimization (BO) where the objective functions are smooth but possibly nonconvex in both levels and the variables are restricted to closed convex sets. As a first step, we…

最优化与控制 · 数学 2024-02-13 Jeongyeol Kwon , Dohyun Kwon , Stephen Wright , Robert Nowak

Reinforcement learning with verifiable rewards can improve LLM reasoning, but learning remains sample-inefficient when terminal rewards are sparse. This has motivated a growing line of work on RL with textual feedback, where a critic model…

机器学习 · 计算机科学 2026-05-26 Utsav Singh , Sidhaarth Sredharan , Souradip Chakraborty , Amrit Singh Bedi

In Volt/Var control (VVC) of active distribution networks(ADNs), both slow timescale discrete devices (STDDs) and fast timescale continuous devices (FTCDs) are involved. The STDDs such as on-load tap changers (OLTC) and FTCDs such as…

系统与控制 · 电气工程与系统科学 2021-04-14 Haotian Liu , Wenchuan Wu

We reformulate the option framework as two parallel augmented MDPs. Under this novel formulation, all policy optimization algorithms can be used off the shelf to learn intra-option policies, option termination conditions, and a master…

机器学习 · 计算机科学 2019-09-12 Shangtong Zhang , Shimon Whiteson

We propose and study a general framework for regularized Markov decision processes (MDPs) where the goal is to find an optimal policy that maximizes the expected discounted total reward plus a policy regularization term. The extant…

机器学习 · 统计学 2019-10-22 Xiang Li , Wenhao Yang , Zhihua Zhang

Bilevel optimization (BLO) problem, where two optimization problems (referred to as upper- and lower-level problems) are coupled hierarchically, has wide applications in areas such as machine learning and operations research. Recently, many…

最优化与控制 · 数学 2025-05-19 Xiaotian Jiang , Ioannis Tsaknakis , Prashant Khanduri , Mingyi Hong

Value-based reinforcement-learning algorithms provide state-of-the-art results in model-free discrete-action settings, and tend to outperform actor-critic algorithms. We argue that actor-critic algorithms are limited by their need for an…

机器学习 · 计算机科学 2019-06-13 Denis Steckelmacher , Hélène Plisnier , Diederik M. Roijers , Ann Nowé

The average-reward formulation of reinforcement learning (RL) has drawn increased interest in recent years for its ability to solve temporally-extended problems without relying on discounting. Meanwhile, in the discounted setting,…

机器学习 · 计算机科学 2025-08-06 Jacob Adamczyk , Volodymyr Makarenko , Stas Tiomkin , Rahul V. Kulkarni

Current model-based reinforcement learning approaches use the model simply as a learned black-box simulator to augment the data for policy optimization or value function learning. In this paper, we show how to make more effective use of the…

机器学习 · 计算机科学 2020-05-19 Ignasi Clavera , Violet Fu , Pieter Abbeel

Optimal setting of several hyper-parameters in machine learning algorithms is key to make the most of available data. To this aim, several methods such as evolutionary strategies, random search, Bayesian optimization and heuristic rules of…

机器学习 · 计算机科学 2021-12-16 Juan Cruz Barsce , Jorge A. Palombarini , Ernesto C. Martínez

This paper aims to establish an entropy-regularized value-based reinforcement learning method that can ensure the monotonic improvement of policies at each policy update. Unlike previously proposed lower-bounds on policy improvement in…

机器学习 · 计算机科学 2020-08-26 Lingwei Zhu , Takamitsu Matsubara