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Designing optimal trajectories for multi-flyby asteroid missions is scientifically critical but technically challenging due to nonlinear dynamics, intermediate constraints, and numerous local optima. This paper establishes a method that…

Optimization and Control · Mathematics 2025-08-06 Zhong Zhang , Xiang Guo , Di Wu , Hexi Baoyin , Junfeng Li , Francesco Topputo

We consider random search processes alternating stochastically between diffusion and ballistic motion, in which the distribution function of ballistic motion directions varies from point to point in space. The specific space dependence of…

Subcellular Processes · Quantitative Biology 2016-08-29 Karsten Schwarz , Yannick Schröder , Bin Qu , Markus Hoth , Heiko Rieger

MPC (Model predictive control)-based motion planning and trajectory generation are essential in applications such as unmanned aerial vehicles, robotic manipulators, and rocket control. However, the real-time implementation of such…

Robotics · Computer Science 2025-11-11 Haotian Tan , Yuan-Hua Ni

Optimizing complex and high-dimensional black-box functions is ubiquitous in science and engineering fields. Unfortunately, the online evaluation of these functions is restricted due to time and safety constraints in most cases. In offline…

Machine Learning · Computer Science 2024-07-03 Taeyoung Yun , Sujin Yun , Jaewoo Lee , Jinkyoo Park

Inverse design problems are common in engineering and materials science. The forward direction, i.e., computing output quantities from design parameters, typically requires running a numerical simulation, such as a FEM, as an intermediate…

Machine Learning · Computer Science 2026-02-18 Jens U. Kreber , Christian Weißenfels , Joerg Stueckler

Joint space trajectory optimization under end-effector task constraints leads to a challenging non-convex problem. Thus, a real-time adaptation of prior computed trajectories to perturbation in task constraints often becomes intractable.…

The iterative and stochastic nature of diffusion models enables test-time scaling, whereby spending additional compute during denoising generates higher-fidelity samples. Increasing the number of denoising steps is the primary scaling axis,…

Machine Learning · Computer Science 2025-09-09 Vignav Ramesh , Morteza Mardani

We present Diffusion Restore, a real-time framework for diffusion-based MCMC light transport. MCMC methods are highly suitable for sampling from complex high-dimensional distributions and for approximating integrals over them. In practice,…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Sascha Holl , Gurprit Singh , Hans-Peter Seidel

Low-thrust trajectory design and in-flight control remain two of the most challenging topics for new-generation satellite operations. Most of the solutions currently implemented are based on reference trajectories and lead to sub-optimal…

Machine Learning · Computer Science 2022-11-16 Carlos M. Casas , Belen Carro , Antonio Sanchez-Esguevillas

Recently, diffusion models have gained popularity and attention in trajectory optimization due to their capability of modeling multi-modal probability distributions. However, addressing nonlinear equality constraints, i.e, dynamic…

Robotics · Computer Science 2026-03-10 Jushan Chen , Santiago Paternain

Generative modeling has drawn much attention in creative and scientific data generation tasks. Score-based Diffusion Models, a type of generative model that iteratively learns to denoise data, have shown state-of-the-art results on tasks…

Robotics · Computer Science 2024-05-21 Tyler Presser , Agnimitra Dasgupta , Daniel Erwin , Assad Oberai

Road user trajectory prediction in dynamic environments is a challenging but crucial task for various applications, such as autonomous driving. One of the main challenges in this domain is the multimodal nature of future trajectories…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Younwoo Choi , Ray Coden Mercurius , Soheil Mohamad Alizadeh Shabestary , Amir Rasouli

Guided diffusion-model generation is a promising direction for customizing the generation process of a pre-trained diffusion model to address specific downstream tasks. Existing guided diffusion models either rely on training the guidance…

Machine Learning · Computer Science 2025-04-01 Kim Yong Tan , Yueming Lyu , Ivor Tsang , Yew-Soon Ong

The recent success of diffusion-based generative models in image and natural language processing has ignited interest in diffusion-based trajectory optimization for nonlinear control systems. Existing methods cannot, however, handle the…

Robotics · Computer Science 2025-09-23 Vince Kurtz , Joel W. Burdick

This paper presents a simple approach to low-thrust optimal-fuel and optimal-time transfer problems between two elliptic orbits using the Cartesian coordinates system. In this case, an orbit is described by its specific angular momentum and…

Optimization and Control · Mathematics 2014-12-09 Hantian Zhang , Dong Eui Chang , Qingjie Cao

Traditional optimization-based planners, while effective, suffer from high computational costs, resulting in slow trajectory generation. A successful strategy to reduce computation time involves using Imitation Learning (IL) to develop fast…

Diffusion models have recently shown remarkable generation ability, achieving state-of-the-art performance in many tasks. However, the high computational cost is still a troubling problem for diffusion models. To tackle this problem, we…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Siao Tang , Xin Wang , Hong Chen , Chaoyu Guan , Yansong Tang , Wenwu zhu

Asteroid exploration has been attracting more attention in recent years. Nevertheless, we have just visited tens of asteroids while we have discovered more than one million bodies. As our current observation and knowledge should be biased,…

Instrumentation and Methods for Astrophysics · Physics 2022-07-13 Naoya Ozaki , Kanta Yanagida , Takuya Chikazawa , Nishanth Pushparaj , Naoya Takeishi , Ryuki Hyodo

Generative models have shown great promise in generating 3D geometric systems, which is a fundamental problem in many natural science domains such as molecule and protein design. However, existing approaches only operate on static…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Jiaqi Han , Minkai Xu , Aaron Lou , Haotian Ye , Stefano Ermon

Trajectory generation for mobile robots in unstructured environments faces a critical dilemma: balancing kinematic smoothness for safe execution with terminal precision for fine-grained tasks. Existing generative planners often struggle…

Robotics · Computer Science 2026-03-03 Jinyang Zhao , Handong Zheng , Yanjiu Zhong , Qiang Zhang , Yu Kang , Shunyu Wu