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At the core of reinforcement learning is the idea of learning beyond the performance in the data. However, scaling such systems has proven notoriously tricky. In contrast, techniques from generative modeling have proven remarkably scalable…

Machine Learning · Computer Science 2025-05-30 Kevin Frans , Seohong Park , Pieter Abbeel , Sergey Levine

We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget"…

Optimization and Control · Mathematics 2016-01-06 Ajeet Kumar , Alexander Vladimirsky

Policy iteration is a widely used technique to solve the Hamilton Jacobi Bellman (HJB) equation, which arises from nonlinear optimal feedback control theory. Its convergence analysis has attracted much attention in the unconstrained case.…

Optimization and Control · Mathematics 2020-05-19 Sudeep Kundu , Karl Kunisch

This paper aims to develop and provide a rigorous treatment to the problem of entropy regularized fine-tuning in the context of continuous-time diffusion models, which was recently proposed by Uehara et al. (arXiv:2402.15194, 2024). The…

Optimization and Control · Mathematics 2025-09-25 Wenpin Tang , Fuzhong Zhou

Reinforcement Learning (RL)-based motion planning has recently shown the potential to outperform traditional approaches from autonomous navigation to robot manipulation. In this work, we focus on a motion planning task for an evasive target…

Robotics · Computer Science 2025-05-12 Zixuan Wu , Sean Ye , Manisha Natarajan , Matthew C. Gombolay

We consider the problem of Reinforcement Learning for nonlinear stochastic dynamical systems. We show that in the RL setting, there is an inherent ``Curse of Variance" in addition to Bellman's infamous ``Curse of Dimensionality", in…

Machine Learning · Computer Science 2021-07-30 Raman Goyal , Suman Chakravorty , Ran Wang , Mohamed Naveed Gul Mohamed

We propose DiFFPO, Diffusion Fast and Furious Policy Optimization, a unified framework for training masked diffusion large language models (dLLMs) to reason not only better (furious), but also faster via reinforcement learning (RL). We…

Machine Learning · Computer Science 2026-01-13 Hanyang Zhao , Dawen Liang , Wenpin Tang , David Yao , Nathan Kallus

Despite a growing interest in diffusion-based language models, existing work has not shown that these models can attain nontrivial likelihoods on standard language modeling benchmarks. In this work, we take the first steps towards closing…

Computation and Language · Computer Science 2023-05-31 Ishaan Gulrajani , Tatsunori B. Hashimoto

Aligning text-to-image (T2I) diffusion models with human preferences has emerged as a critical research challenge. While recent advances in this area have extended preference optimization techniques from large language models (LLMs) to the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-25 Junyong Kang , Seohyun Lim , Kyungjune Baek , Hyunjung Shim

Controllable diffusion generation often relies on various heuristics that are seemingly disconnected without a unified understanding. We bridge this gap with Diffusion Controller (DiffCon), a unified control-theoretic view that casts…

Machine Learning · Computer Science 2026-03-10 Tong Yang , Moonkyung Ryu , Chih-Wei Hsu , Guy Tennenholtz , Yuejie Chi , Craig Boutilier , Bo Dai

We study optimal stopping for diffusion processes with unknown model primitives within the continuous-time reinforcement learning (RL) framework developed by Wang et al. (2020), and present applications to option pricing and portfolio…

Optimization and Control · Mathematics 2025-08-12 Min Dai , Yu Sun , Zuo Quan Xu , Xun Yu Zhou

This paper develops algorithms for high-dimensional stochastic control problems based on deep learning and dynamic programming. Unlike classical approximate dynamic programming approaches, we first approximate the optimal policy by means of…

Probability · Mathematics 2021-09-21 Côme Huré , Huyên Pham , Achref Bachouch , Nicolas Langrené

Learned representations in deep reinforcement learning (DRL) have to extract task-relevant information from complex observations, balancing between robustness to distraction and informativeness to the policy. Such stable and rich…

Machine Learning · Computer Science 2021-10-28 Mete Kemertas , Tristan Aumentado-Armstrong

It is well known that the extension of Watkins' algorithm to general function approximation settings is challenging: does the projected Bellman equation have a solution? If so, is the solution useful in the sense of generating a good…

Optimization and Control · Mathematics 2020-08-11 Prashant G. Mehta , Sean P. Meyn

Discrete diffusion models have recently gained significant attention due to their ability to process complex discrete structures for language modeling. However, fine-tuning these models with policy gradient methods, as is commonly done in…

Machine Learning · Statistics 2025-12-19 Oussama Zekri , Nicolas Boullé

Deep Reinforcement Learning (RL) has shown remarkable success in robotics with complex and heterogeneous dynamics. However, its vulnerability to unknown disturbances and adversarial attacks remains a significant challenge. In this paper, we…

Robotics · Computer Science 2024-10-01 Hanyang Hu , Xilun Zhang , Xubo Lyu , Mo Chen

Reinforcement learning (RL) problems are fundamental in online decision-making and have been instrumental in finding an optimal policy for Markov decision processes (MDPs). Function approximations are usually deployed to handle large or…

Machine Learning · Computer Science 2025-05-20 Jiashuo Jiang , Yiming Zong , Yinyu Ye

Reinforcement Learning (RL) has recently been incorporated into diffusion models, e.g., tasks such as text-to-image. However, directly applying existing RL methods to diffusion-based image restoration models is suboptimal, as the objective…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Xiaogang Xu , Ruihang Chu , Jian Wang , Kun Zhou , Wenjie Shu , Harry Yang , Ser-Nam Lim , Hao Chen , Liang Lin

Reinforcement learning (RL) is a promising approach for deriving control policies for complex systems. As we show in two control problems, the derived policies from using the Proximal Policy Optimization (PPO) and Deep Q-Network (DQN)…

Machine Learning · Computer Science 2022-04-05 Jan de Priester , Ricardo G. Sanfelice , Nathan van de Wouw

We propose DiffusionRollout, a novel selective rollout planning strategy for autoregressive diffusion models, aimed at mitigating error accumulation in long-horizon predictions of physical systems governed by partial differential equations…

Artificial Intelligence · Computer Science 2026-02-17 Seungwoo Yoo , Juil Koo , Daehyeon Choi , Minhyuk Sung