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Generative models have become increasingly powerful tools for robot motion generation, enabling flexible and multimodal trajectory generation across various tasks. Yet, most existing approaches remain limited in handling multiple types of…

Robotics · Computer Science 2026-01-15 Zewen Yang , Xiaobing Dai , Dian Yu , Zhijun Li , Majid Khadiv , Sandra Hirche , Sami Haddadin

Deep generative models provide state-of-the-art performance across a wide array of applications, with recent studies showing increasing applicability for science and engineering. Despite a growing corpus of literature focused on the…

Machine Learning · Computer Science 2026-05-14 Jacob K. Christopher , James E. Warner , Ferdinando Fioretto

We propose a sampling-based trajectory optimization methodology for constrained problems. We extend recent works on stochastic search to deal with box control constraints,as well as nonlinear state constraints for discrete dynamical…

Optimization and Control · Mathematics 2019-11-13 George I. Boutselis , Ziyi Wang , Evangelos A. Theodorou

Diffusion models have demonstrated significant promise in various generative tasks; however, they often struggle to satisfy challenging constraints. Our approach addresses this limitation by rethinking training-free loss-guided diffusion…

Machine Learning · Computer Science 2024-11-19 William Huang , Yifeng Jiang , Tom Van Wouwe , C. Karen Liu

Generative models excel at synthesizing high-fidelity samples from complex data distributions, but they often violate hard constraints arising from physical laws or task specifications. A common remedy is to project intermediate samples…

Machine Learning · Computer Science 2025-09-30 Jinhao Liang , Yixuan Sun , Anirban Samaddar , Sandeep Madireddy , Ferdinando Fioretto

Sampling from high-dimensional distributions is a fundamental problem in statistical research and practice. However, great challenges emerge when the target density function is unnormalized and contains isolated modes. We tackle this…

Methodology · Statistics 2023-04-11 Yixuan Qiu , Xiao Wang

This paper introduces an approach to endow generative diffusion processes the ability to satisfy and certify compliance with constraints and physical principles. The proposed method recast the traditional sampling process of generative…

Machine Learning · Computer Science 2024-11-05 Jacob K Christopher , Stephen Baek , Ferdinando Fioretto

Diffusion models have recently emerged as effective generative frameworks for trajectory optimization, capable of producing high-quality and diverse solutions. However, training these models in a purely data-driven manner without explicit…

Robotics · Computer Science 2025-04-02 Anjian Li , Ryne Beeson

Flow-based text-to-image models follow deterministic trajectories, making it costly to explore diverse modes under limited sampling budgets. Existing approaches to improving diversity often rely on retraining or degrade image fidelity. To…

Artificial Intelligence · Computer Science 2026-05-21 Jingxuan Wu , Zhenglin Wan , Xingrui Yu , Yuzhe Yang , Bo An , Ivor Tsang , Yang You

We tackle the problem of sampling from intractable high-dimensional density functions, a fundamental task that often appears in machine learning and statistics. We extend recent sampling-based approaches that leverage controlled stochastic…

Machine Learning · Computer Science 2024-03-12 Dinghuai Zhang , Ricky T. Q. Chen , Cheng-Hao Liu , Aaron Courville , Yoshua Bengio

Centralized trajectory optimization in the joint space of multiple robots allows access to a larger feasible space that can result in smoother trajectories, especially while planning in tight spaces. Unfortunately, it is often…

Robotics · Computer Science 2026-04-22 Simon Idoko , Prajyot Jadhav , Arun Kumar Singh

Recently, diffusion models have been used to solve various inverse problems in an unsupervised manner with appropriate modifications to the sampling process. However, the current solvers, which recursively apply a reverse diffusion step…

Machine Learning · Computer Science 2024-05-21 Hyungjin Chung , Byeongsu Sim , Dohoon Ryu , Jong Chul Ye

Hard constraints in generative sampling are typically enforced by projection, applied either once at the end of sampling or after every update. This binary framing overlooks a fundamental issue: projection changes the distribution of states…

Machine Learning · Computer Science 2026-05-13 Noah Trupin , Yexiang Xue

Flow-matching models provide a powerful framework for various applications, offering efficient sampling and flexible probability path modeling. These models are characterized by flows with low curvature in learned generative trajectories,…

Machine Learning · Computer Science 2025-01-22 Zibin Wang , Zhiyuan Ouyang , Xiangyun Zhang

Diffusion models have achieved remarkable success across various domains. However, their slow generation speed remains a critical challenge. Existing acceleration methods, while aiming to reduce steps, often compromise sample quality,…

Machine Learning · Computer Science 2025-03-26 Huiyang Shao , Xin Xia , Yuhong Yang , Yuxi Ren , Xing Wang , Xuefeng Xiao

This work presents DCFlow, a novel unsupervised cross-modal flow estimation framework that integrates a decoupled optimization strategy and a cross-modal consistency constraint. Unlike previous approaches that implicitly learn flow…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Runmin Zhang , Jialiang Wang , Si-Yuan Cao , Zhu Yu , Junchen Yu , Guangyi Zhang , Hui-Liang Shen

Flow matching has emerged as a promising generative approach that addresses the lengthy sampling times associated with state-of-the-art diffusion models and enables a more flexible trajectory design, while maintaining high-quality image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Arnela Hadzic , Franz Thaler , Lea Bogensperger , Simon Johannes Joham , Martin Urschler

The diffusion model has shown success in generating high-quality and diverse solutions to trajectory optimization problems. However, diffusion models with neural networks inevitably make prediction errors, which leads to constraint…

Machine Learning · Computer Science 2024-06-04 Anjian Li , Zihan Ding , Adji Bousso Dieng , Ryne Beeson

Recent advances in generative modeling have led to promising results in robot motion planning, particularly through diffusion and flow matching (FM)-based models that capture complex, multimodal trajectory distributions. However, these…

Robotics · Computer Science 2025-11-13 Xiaobing Dai , Zewen Yang , Dian Yu , Fangzhou Liu , Hamid Sadeghian , Sami Haddadin , Sandra Hirche

Driving planning is a critical component of end-to-end (E2E) autonomous driving. However, prevailing Imitative E2E Planners often suffer from multimodal trajectory mode collapse, failing to produce diverse trajectory proposals. Meanwhile,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Lin Liu , Caiyan Jia , Guanyi Yu , Ziying Song , JunQiao Li , Feiyang Jia , Peiliang Wu , Xiaoshuai Hao , Yadan Luo
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