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The optimal controller design problem for a linear, first-order spatially-invariant distributed parameter system is considered. Through a case study of the Linear Quadratic Regulator (LQR) problem for the diffusion equation over the torus,…

Optimization and Control · Mathematics 2026-03-20 Addie McCurdy , Andrew Gusty , Emily Jensen

Diffusion models have achieved huge empirical success in data generation tasks. Recently, some efforts have been made to adapt the framework of diffusion models to discrete state space, providing a more natural approach for modeling…

Machine Learning · Statistics 2024-02-15 Hongrui Chen , Lexing Ying

Diffusion-based planners have shown strong potential for autonomous driving by capturing multi-modal driving behaviors. A key challenge is how to effectively guide these models for safe and reactive planning in closed-loop settings, where…

Artificial Intelligence · Computer Science 2026-03-06 Shu Liu , Wenlin Chen , Weihao Li , Zheng Wang , Lijin Yang , Jianing Huang , Yipin Zhang , Zhongzhan Huang , Ze Cheng , Hao Yang

Guided diffusion is a technique for conditioning the output of a diffusion model at sampling time without retraining the network for each specific task. One drawback of diffusion models, however, is their slow sampling process. Recent…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 Suttisak Wizadwongsa , Supasorn Suwajanakorn

This work introduces MotionLCM, extending controllable motion generation to a real-time level. Existing methods for spatial-temporal control in text-conditioned motion generation suffer from significant runtime inefficiency. To address this…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Wenxun Dai , Ling-Hao Chen , Jingbo Wang , Jinpeng Liu , Bo Dai , Yansong Tang

Diffusion models (DMs) have revolutionized generative learning. They utilize a diffusion process to encode data into a simple Gaussian distribution. However, encoding a complex, potentially multimodal data distribution into a single…

Machine Learning · Computer Science 2024-07-04 Yilun Xu , Gabriele Corso , Tommi Jaakkola , Arash Vahdat , Karsten Kreis

Diffusion models have risen as a powerful tool in robotics due to their flexibility and multi-modality. While some of these methods effectively address complex problems, they often depend heavily on inference-time obstacle detection and…

Diffusion models emerged as a leading approach in text-to-image generation, producing high-quality images from textual descriptions. However, attempting to achieve detailed control to get a desired image solely through text remains a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Pablo Domingo-Gregorio , Javier Ruiz-Hidalgo

Diffusion models have emerged as powerful generative tools for modeling complex data distributions, yet their purely data-driven nature limits applicability in practical engineering and scientific problems where physical laws need to be…

Rapid urbanization demands accurate and efficient monitoring of turbulent wind patterns to support air quality, climate resilience and infrastructure design. Traditional sparse reconstruction and sensor placement strategies face major…

This study introduces a novel point-wise diffusion model that processes spatio-temporal points independently to efficiently predict complex physical systems with shape variations. This methodological contribution lies in applying forward…

Computational Physics · Physics 2025-08-05 Jiyong Kim , Sunwoong Yang , Namwoo Kang

We propose closed-form conditional diffusion models for data assimilation. Diffusion models use data to learn the score function (defined as the gradient of the log-probability density of a data distribution), allowing them to generate new…

Machine Learning · Statistics 2026-04-02 Brianna Binder , Agnimitra Dasgupta , Assad Oberai

We propose a physics-aware Consistency Training (CT) method that accelerates sampling in Diffusion Models with physical constraints. Our approach leverages a two-stage strategy: (1) learning the noise-to-data mapping via CT, and (2)…

Machine Learning · Computer Science 2025-02-12 Che-Chia Chang , Chen-Yang Dai , Te-Sheng Lin , Ming-Chih Lai , Chieh-Hsin Lai

Model predictive control (MPC) has been applied to many platforms in robotics and autonomous systems for its capability to predict a system's future behavior while incorporating constraints that a system may have. To enhance the performance…

Robotics · Computer Science 2024-07-08 Ran Tao , Sheng Cheng , Xiaofeng Wang , Shenlong Wang , Naira Hovakimyan

The latest advances in artificial intelligence (AI) present many unprecedented opportunities to achieve much improved bandwidth saving in communications. Unlike conventional communication systems focusing on packet transport, rich datasets…

Machine Learning · Computer Science 2023-12-07 Achintha Wijesinghe , Songyang Zhang , Suchinthaka Wanninayaka , Weiwei Wang , Zhi Ding

Control-based continuation is technique for tracking the solutions and bifurcations of nonlinear experiments. The basic idea is to apply the method of numerical continuation to a feedback-controlled physical experiment. Since in an…

Dynamical Systems · Mathematics 2016-01-25 David A. W. Barton

Despite the impressive results of arbitrary image-guided style transfer methods, text-driven image stylization has recently been proposed for transferring a natural image into a stylized one according to textual descriptions of the target…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Nisha Huang , Yuxin Zhang , Fan Tang , Chongyang Ma , Haibin Huang , Yong Zhang , Weiming Dong , Changsheng Xu

Redundant manipulators, with their higher Degrees of Freedom (DoFs), offer enhanced kinematic performance and versatility, making them suitable for applications like manufacturing, surgical robotics, and human-robot collaboration. However,…

Robotics · Computer Science 2026-01-07 Xudong Mou , Xiaohan Zhang , Tiejun Wang , Tianyu Wo , Cangbai Xu , Ningbo Gu , Rui Wang , Xudong Liu

We present MotionDiffuser, a diffusion based representation for the joint distribution of future trajectories over multiple agents. Such representation has several key advantages: first, our model learns a highly multimodal distribution…

Robotics · Computer Science 2023-06-06 Chiyu Max Jiang , Andre Cornman , Cheolho Park , Ben Sapp , Yin Zhou , Dragomir Anguelov

Image classification is a well-studied task in computer vision, and yet it remains challenging under high-uncertainty conditions, such as when input images are corrupted or training data are limited. Conventional classification approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Omer Belhasin , Shelly Golan , Ran El-Yaniv , Michael Elad
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