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We present a unified framework for solving trajectory optimization problems in a derivative-free manner through the use of sequential convex programming. Traditionally, nonconvex optimization problems are solved by forming and solving a…

Optimization and Control · Mathematics 2025-10-01 Kevin Tracy , John Z. Zhang , Jon Arrizabalaga , Stefan Schaal , Yuval Tassa , Tom Erez , Zachary Manchester

There are five types of trajectory prediction tasks: deterministic, stochastic, domain adaptation, momentary observation, and few-shot. These associated tasks are defined by various factors, such as the length of input paths, data split and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Inhwan Bae , Young-Jae Park , Hae-Gon Jeon

The slow inference process of image diffusion models significantly degrades interactive user experiences. To address this, we introduce Diffusion Preview, a novel paradigm employing rapid, low-step sampling to generate preliminary outputs…

Machine Learning · Computer Science 2026-04-08 Fu-Yun Wang , Hao Zhou , Liangzhe Yuan , Sanghyun Woo , Boqing Gong , Bohyung Han , Ming-Hsuan Yang , Han Zhang , Yukun Zhu , Ting Liu , Long Zhao

We introduce SceneDiffuser, a conditional generative model for 3D scene understanding. SceneDiffuser provides a unified model for solving scene-conditioned generation, optimization, and planning. In contrast to prior works, SceneDiffuser is…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Siyuan Huang , Zan Wang , Puhao Li , Baoxiong Jia , Tengyu Liu , Yixin Zhu , Wei Liang , Song-Chun Zhu

Diffusion models have recently shown significant potential in solving decision-making problems, particularly in generating behavior plans -- also known as diffusion planning. While numerous studies have demonstrated the impressive…

Machine Learning · Computer Science 2025-03-04 Haofei Lu , Dongqi Han , Yifei Shen , Dongsheng Li

In Multiple Object Tracking, objects often exhibit non-linear motion of acceleration and deceleration, with irregular direction changes. Tacking-by-detection (TBD) trackers with Kalman Filter motion prediction work well in…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Weiyi Lv , Yuhang Huang , Ning Zhang , Ruei-Sung Lin , Mei Han , Dan Zeng

In a convergence of machine learning and biology, we reveal that diffusion models are evolutionary algorithms. By considering evolution as a denoising process and reversed evolution as diffusion, we mathematically demonstrate that diffusion…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Yanbo Zhang , Benedikt Hartl , Hananel Hazan , Michael Levin

Most end-to-end autonomous driving methods rely on imitation learning from single expert demonstrations, often leading to conservative and homogeneous behaviors that limit generalization in complex real-world scenarios. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Ziying Song , Lin Liu , Hongyu Pan , Bencheng Liao , Mingzhe Guo , Lei Yang , Yongchang Zhang , Shaoqing Xu , Caiyan Jia , Yadan Luo

This paper proposes novel algorithm for non-convex multimodal constrained optimisation problems. It is based on sequential solving restrictions of problem to sections of feasible set by random subspaces (in general, manifolds) of low…

Optimization and Control · Mathematics 2023-03-28 Dmitry A. Pasechnyuk , Alexander Gornov

Diffusion-based policies have gained growing popularity in solving a wide range of decision-making tasks due to their superior expressiveness and controllable generation during inference. However, effectively training large diffusion…

Diffusion-based robot navigation policies trained on large-scale imitation learning datasets, can generate multi-modal trajectories directly from the robot's visual observations, bypassing the traditional localization-mapping-planning…

Robotics · Computer Science 2026-03-16 Junhe Sheng , Ruofei Bai , Kuan Xu , Ruimeng Liu , Jie Chen , Shenghai Yuan , Wei-Yun Yau , Lihua Xie

We propose GoalFlow, an end-to-end autonomous driving method for generating high-quality multimodal trajectories. In autonomous driving scenarios, there is rarely a single suitable trajectory. Recent methods have increasingly focused on…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Zebin Xing , Xingyu Zhang , Yang Hu , Bo Jiang , Tong He , Qian Zhang , Xiaoxiao Long , Wei Yin

Text-to-image diffusion models pre-trained on billions of image-text pairs have recently enabled 3D content creation by optimizing a randomly initialized differentiable 3D representation with score distillation. However, the optimization…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Yukun Huang , Jianan Wang , Yukai Shi , Boshi Tang , Xianbiao Qi , Lei 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

We introduce a diffusion-based cross-domain image translator in the absence of paired training data. Unlike GAN-based methods, our approach integrates diffusion models to learn the image translation process, allowing for more coverable…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Shilong Zou , Yuhang Huang , Renjiao Yi , Chenyang Zhu , Kai Xu

Diffusion models have demonstrated remarkable success in various image generation tasks, but their performance is often limited by the uniform processing of inputs across varying conditions and noise levels. To address this limitation, we…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Minglei Shi , Ziyang Yuan , Haotian Yang , Xintao Wang , Mingwu Zheng , Xin Tao , Wenliang Zhao , Wenzhao Zheng , Jie Zhou , Jiwen Lu , Pengfei Wan , Di Zhang , Kun Gai

Effective trajectory stitching for long-horizon planning is a significant challenge in robotic decision-making. While diffusion models have shown promise in planning, they are limited to solving tasks similar to those seen in their training…

Robotics · Computer Science 2025-05-06 Yunhao Luo , Utkarsh A. Mishra , Yilun Du , Danfei Xu

This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

Optimization and Control · Mathematics 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

Machine Learning · Computer Science 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan

Diffusion on complex networks is often modeled as a stochastic process. Yet, recent work on strategic diffusion emphasizes the decision power of agents and treats diffusion as a strategic problem. Here we study the computational aspects of…

Computational Complexity · Computer Science 2020-01-31 Marcin Waniek , Khaled Elbassioni , Flavio L. Pinheiro , Cesar A. Hidalgo , Aamena Alshamsi