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We consider time discretization for score-based diffusion models to generate samples from a learned reverse-time dynamic on a finite grid. Uniform and hand-crafted grids can be suboptimal given a budget on the number of time steps. We…

Machine Learning · Computer Science 2026-05-11 Yilie Huang , Wenpin Tang , Xunyu Zhou

Distributional reinforcement learning (DRL) models the full return distribution, but existing finite-support or quantile-based methods rely on projections, while recent flow-based approaches can suffer from \emph{boundary mismatch} at the…

Machine Learning · Computer Science 2026-05-12 Boyang Xu , Qing Zou , Siqin Yang , Hao Yan

Many popular practical reinforcement learning (RL) algorithms employ evolving reward functions-through techniques such as reward shaping, entropy regularization, or curriculum learning-yet their theoretical foundations remain…

Machine Learning · Computer Science 2025-10-15 Rui Hu , Yu Chen , Longbo Huang

In this paper, we study the optimal dividend problem under the continuous time diffusion model with the bounded dividend rate from the Reinforcement Learning (RL) perspective. Unlike the standard literature, our main focus will be on…

Optimization and Control · Mathematics 2026-03-30 Lihua Bai , Thejani Gamage , Jin Ma , Gaozhan Wang

In this paper, we introduce Hamilton-Jacobi-Bellman (HJB) equations for Q-functions in continuous time optimal control problems with Lipschitz continuous controls. The standard Q-function used in reinforcement learning is shown to be the…

Optimization and Control · Mathematics 2020-05-05 Jeongho Kim , Insoon Yang

We propose a general formulation for addressing reinforcement learning (RL) problems in settings with observational data. That is, we consider the problem of learning good policies solely from historical data in which unobserved factors…

Machine Learning · Computer Science 2018-12-31 Chaochao Lu , Bernhard Schölkopf , José Miguel Hernández-Lobato

While modern representation learning relies heavily on global error signals, decentralized algorithms driven by local interactions offer a fundamental distributed alternative. However, the macroscopic convergence properties of these…

Machine Learning · Computer Science 2026-04-21 Zilin Li , Weiwei Xu , Xuchun Tong , Xuanbo Lu , Xuanqi Zhao

Many strategic decision-making problems, such as environment design for warehouse robots, can be naturally formulated as bi-level reinforcement learning (RL), where a leader agent optimizes its objective while a follower solves a Markov…

Machine Learning · Computer Science 2026-04-01 Mikoto Kudo , Takumi Tanabe , Akifumi Wachi , Youhei Akimoto

Continual Reinforcement Learning (CRL) aims to develop lifelong learning agents to continuously acquire knowledge across diverse tasks while mitigating catastrophic forgetting. This requires efficiently managing the stability-plasticity…

Machine Learning · Computer Science 2026-02-02 Yuxuan Li , Qijun He , Mingqi Yuan , Wen-Tse Chen , Jeff Schneider , Jiayu Chen

We develop an approach for solving time-consistent risk-sensitive stochastic optimization problems using model-free reinforcement learning (RL). Specifically, we assume agents assess the risk of a sequence of random variables using dynamic…

Machine Learning · Computer Science 2022-12-01 Anthony Coache , Sebastian Jaimungal

Dynamical decoupling seeks to mitigate phase decoherence in qubits by applying a carefully designed sequence of effectively instantaneous electromagnetic pulses. Although analytic solutions exist for pulse timings that are optimal under…

Quantum Physics · Physics 2025-12-17 Charles Marrder , Shuo Sun , Murray J. Holland

This paper presents a one-shot learning approach with performance and robustness guarantees for the linear quadratic regulator (LQR) control of stochastic linear systems. Even though data-based LQR control has been widely considered,…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Ramin Esmzad , Hamidreza Modares

Hamiltonian systems with multiple timescales arise in molecular dynamics, classical mechanics, and theoretical physics. Long-time numerical integration of such systems requires resolving fast dynamics with very small time steps, which…

Numerical Analysis · Mathematics 2025-10-30 Rui Fang , Richard Tsai

In this paper time-driven learning refers to the machine learning method that updates parameters in a prediction model continuously as new data arrives. Among existing approximate dynamic programming (ADP) and reinforcement learning (RL)…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Qingtao Zhao , Jennie Si , Jian Sun

Hard constraints in reinforcement learning (RL) often degrade policy performance. Lagrangian methods offer a way to blend objectives with constraints, but require intricate reward engineering and parameter tuning. In this work, we extend…

Artificial Intelligence · Computer Science 2025-12-05 William Sharpless , Dylan Hirsch , Sander Tonkens , Nikhil Shinde , Sylvia Herbert

Real-world robotic tasks often require agents to achieve sequences of goals while respecting time-varying safety constraints. However, standard Reinforcement Learning (RL) paradigms are fundamentally limited in these settings. A natural…

Robotics · Computer Science 2025-12-02 Anastasios Manganaris , Vittorio Giammarino , Ahmed H. Qureshi

Model-based representations recently stand out as a promising framework that embeds latent dynamics information into the representations for downstream off-policy actor-critic learning. It implicitly combines the advantages of both…

Machine Learning · Computer Science 2026-05-13 Jiafei Lyu , Zichuan Lin , Scott Fujimoto , Kai Yang , Yangkun Chen , Saiyong Yang , Zongqing Lu , Deheng Ye

In offline reinforcement learning, a policy is learned using a static dataset in the absence of costly feedback from the environment. In contrast to the online setting, only using static datasets poses additional challenges, such as…

Machine Learning · Computer Science 2025-12-16 Marvin Alles , Philip Becker-Ehmck , Patrick van der Smagt , Maximilian Karl

While there has been substantial success for solving continuous control with actor-critic methods, simpler critic-only methods such as Q-learning find limited application in the associated high-dimensional action spaces. However, most…

Machine Learning · Computer Science 2023-09-27 Tim Seyde , Peter Werner , Wilko Schwarting , Igor Gilitschenski , Martin Riedmiller , Daniela Rus , Markus Wulfmeier

This paper studies the discrete-time linear-quadratic-Gaussian mean field (MF) social control problem in an infinite horizon, where the dynamics of all agents are unknown. The objective is to design a reinforcement learning (RL) algorithm…

Optimization and Control · Mathematics 2025-12-05 Hanfang Zhang , Bing-Chang Wang , Shuo Chen
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