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We present DeFlow, a decoupled offline RL framework that leverages flow matching to faithfully capture complex behavior manifolds. Optimizing generative policies is computationally prohibitive, typically necessitating backpropagation…

Machine Learning · Computer Science 2026-01-21 Zhancun Mu

We introduce a new approach for comparing reinforcement learning policies, using Wasserstein distances (WDs) in a newly defined latent behavioral space. We show that by utilizing the dual formulation of the WD, we can learn score functions…

Machine Learning · Computer Science 2020-03-05 Aldo Pacchiano , Jack Parker-Holder , Yunhao Tang , Anna Choromanska , Krzysztof Choromanski , Michael I. Jordan

We provide the first polynomial-time convergence guarantees for the probability flow ODE implementation (together with a corrector step) of score-based generative modeling. Our analysis is carried out in the wake of recent results obtaining…

Machine Learning · Computer Science 2023-05-22 Sitan Chen , Sinho Chewi , Holden Lee , Yuanzhi Li , Jianfeng Lu , Adil Salim

Flow Matching enables simulation-free training of generative models on Riemannian manifolds, yet sampling typically still relies on numerically integrating a probability-flow ODE. We propose Riemannian MeanFlow (RMF), extending MeanFlow to…

Machine Learning · Computer Science 2026-05-21 Zichen Zhong , Haoliang Sun , Yukun Zhao , Yongshun Gong , Yilong Yin

The multi-step denoising process in diffusion and Flow Matching models causes major efficiency issues, which motivates research on few-step generation. We present Solution Flow Models (SoFlow), a framework for one-step generation from…

Machine Learning · Computer Science 2026-03-03 Tianze Luo , Haotian Yuan , Zhuang Liu

Although robotic applications increasingly demand versatile and dynamic object handling, most existing techniques are predominantly focused on grasp-based manipulation, limiting their applicability in non-prehensile tasks. To address this…

Robotics · Computer Science 2025-02-25 Hamidreza Raei , Elena De Momi , Arash Ajoudani

Flow-based policies have recently emerged as a powerful tool in offline and offline-to-online reinforcement learning, capable of modeling the complex, multimodal behaviors found in pre-collected datasets. However, the full potential of…

Machine Learning · Computer Science 2025-09-30 Deshu Chen , Yuchen Liu , Zhijian Zhou , Chao Qu , Yuan Qi

Classical on-policy algorithms such as PPO and mirror descent policy optimization provide stable proximal policy updates through tractable action likelihoods, but are typically instantiated with simple Gaussian policies whose expressiveness…

Machine Learning · Computer Science 2026-05-29 Yuehu Gong , Zeyuan Wang , Yulin Chen , Shutong Ding , Qingyuan Zhou , Yanwei Fu

We propose a mathematically principled PDE gradient flow framework for distributionally robust optimization (DRO). Exploiting the recent advances in the intersection of Markov Chain Monte Carlo sampling and gradient flow theory, we show…

Optimization and Control · Mathematics 2026-05-27 Zusen Xu , Jia-Jie Zhu

We propose a gradient flow procedure for generative modeling by transporting particles from an initial source distribution to a target distribution, where the gradient field on the particles is given by a noise-adaptive Wasserstein Gradient…

Machine Learning · Computer Science 2024-05-14 Alexandre Galashov , Valentin de Bortoli , Arthur Gretton

We show that the continuous-time gradient descent in Rn can be viewed as an optimal controlled evolution for a suitable action functional; a similar result holds for stochastic gradient descent. We then provide an analogous characterization…

Optimization and Control · Mathematics 2025-11-03 Yongxin Chen , Tryphon Georgiou , Michele Pavon

Diffusion policies are a powerful paradigm for robotic control, but fine-tuning them with human preferences is fundamentally challenged by the multi-step structure of the denoising process. To overcome this, we introduce a Unified Markov…

Robotics · Computer Science 2026-02-03 Amitesh Vatsa , Zhixian Xie , Wanxin Jin

Differential dynamic programming (DDP) is a popular technique for solving nonlinear optimal control problems with locally quadratic approximations. However, existing DDP methods are not designed for stochastic systems with unknown…

Systems and Control · Electrical Eng. & Systems 2023-05-18 Astghik Hakobyan , Insoon Yang

Maximum entropy reinforcement learning (MaxEnt RL) has become a standard framework for sequential decision making, yet its standard Gaussian policy parameterization is inherently unimodal, limiting its ability to model complex multimodal…

Machine Learning · Computer Science 2026-04-13 Xubin Zhou , Yipeng Yang , Zhan Li

Signed Distance Fields (SDFs) are a fundamental representation in robot motion planning. Their configuration-space counterpart, the Configuration Space Distance Field (CDF), directly encodes distances in joint space, offering a unified…

Robotics · Computer Science 2025-09-18 Mengzhu Li , Yunyu Zhou , He Ying , F. Richard Yu

In recent years, generative models have shown remarkable capabilities across diverse fields, including images, videos, language, and decision-making. By applying powerful generative models such as flow-based models to reinforcement…

Machine Learning · Computer Science 2025-05-28 Jifeng Hu , Sili Huang , Siyuan Guo , Zhaogeng Liu , Li Shen , Lichao Sun , Hechang Chen , Yi Chang , Dacheng Tao

Diffusion and flow matching have emerged as expressive policy classes in reinforcement learning, but their reliance on multi-step denoising imposes substantial computational overhead at inference time, which is particularly problematic in…

Machine Learning · Computer Science 2026-05-25 Kyungyoon Kim , Donghyeon Ki , Hee-Jun Ahn , Byung-Jun Lee

The paper considers distributed gradient flow (DGF) for multi-agent nonconvex optimization. DGF is a continuous-time approximation of distributed gradient descent that is often easier to study than its discrete-time counterpart. The paper…

Optimization and Control · Mathematics 2020-08-13 Brian Swenson , Ryan Murray , H. Vincent Poor , Soummya Kar

Flow-based generative models, including diffusion models, excel at modeling continuous distributions in high-dimensional spaces. In this work, we introduce Flow Policy Optimization (FPO), a simple on-policy reinforcement learning algorithm…

Machine Learning · Computer Science 2025-08-04 David McAllister , Songwei Ge , Brent Yi , Chung Min Kim , Ethan Weber , Hongsuk Choi , Haiwen Feng , Angjoo Kanazawa

The ability to learn multi-modal action distributions is indispensable for robotic manipulation policies to perform precise and robust control. Flow-based generative models have recently emerged as a promising solution to learning…

Robotics · Computer Science 2025-10-10 Guowei Zou , Haitao Wang , Hejun Wu , Yukun Qian , Yuhang Wang , Weibing Li