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Recently, a series of papers proposed deep learning-based approaches to sample from target distributions using controlled diffusion processes, being trained only on the unnormalized target densities without access to samples. Building on…

Machine Learning · Computer Science 2024-05-24 Lorenz Richter , Julius Berner

Diffusion models for continuous data gained widespread adoption owing to their high quality generation and control mechanisms. However, controllable diffusion on discrete data faces challenges given that continuous guidance methods do not…

Guidance provides a simple and effective framework for posterior sampling by steering the generation process towards the desired distribution. When modeling discrete data, existing approaches mostly focus on guidance with the first-order…

Machine Learning · Computer Science 2026-04-16 Zhengyan Wan , Yidong Ouyang , Liyan Xie , Fang Fang , Hongyuan Zha , Guang Cheng

The integration of Diffusion Models into Intelligent Transportation Systems (ITS) is a substantial improvement in the detection of accidents. We present a novel hybrid model integrating guidance classification with diffusion techniques. By…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Siva Sai , Saksham Gupta , Vinay Chamola , Rajkumar Buyya

We consider a classical stochastic control problem in which a diffusion process is controlled by a withdrawal process up to a termination time. The objective is to maximize the expected discounted value of the withdrawals until the…

Probability · Mathematics 2024-06-19 Hélène Guérin , Dante Mata , Jean-François Renaud , Alexandre Roch

Diffusion models, which employ stochastic differential equations to sample images through integrals, have emerged as a dominant class of generative models. However, the rationality of the diffusion process itself receives limited attention,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Zhantao Yang , Ruili Feng , Han Zhang , Yujun Shen , Kai Zhu , Lianghua Huang , Yifei Zhang , Yu Liu , Deli Zhao , Jingren Zhou , Fan Cheng

We present a new adaptive algorithm for learning discrete distributions under distribution drift. In this setting, we observe a sequence of independent samples from a discrete distribution that is changing over time, and the goal is to…

Machine Learning · Computer Science 2024-03-11 Alessio Mazzetto

Score-based diffusion models are a class of generative models whose dynamics is described by stochastic differential equations that map noise into data. While recent works have started to lay down a theoretical foundation for these models,…

In this paper, we investigate how to achieve the unpredictability against malicious inferences for linear systems. The key idea is to add stochastic control inputs, named as unpredictable control, to make the outputs irregular. The future…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Chendi Qu , Jianping He , Jialun Li , Xiaoming Duan

We develop a learning-based control algorithm for unknown dynamical systems under very severe data limitations. Specifically, the algorithm has access to streaming and noisy data only from a single and ongoing trial. It accomplishes such…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Franck Djeumou , Ufuk Topcu

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

Statistical Mechanics · Physics 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

Diffusion models (DMs) are a class of generative models that allow sampling from a distribution learned over a training set. When applied to solving inverse problems, the reverse sampling steps are modified to approximately sample from a…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Ismail Alkhouri , Shijun Liang , Cheng-Han Huang , Jimmy Dai , Qing Qu , Saiprasad Ravishankar , Rongrong Wang

In this paper, we apply a recently developed nonparametric modeling approach, the "diffusion forecast", to predict the time-evolution of Fourier modes of turbulent dynamical systems. While the diffusion forecasting method assumes the…

Chaotic Dynamics · Physics 2016-03-23 Tyrus Berry , John Harlim

Diffusion models have risen as a promising approach to data-driven planning, and have demonstrated impressive robotic control, reinforcement learning, and video planning performance. Given an effective planner, an important question to…

Robotics · Computer Science 2023-10-17 Siyuan Zhou , Yilun Du , Shun Zhang , Mengdi Xu , Yikang Shen , Wei Xiao , Dit-Yan Yeung , Chuang Gan

Autoregressive neural networks within the temporal point process (TPP) framework have become the standard for modeling continuous-time event data. Even though these models can expressively capture event sequences in a one-step-ahead…

Machine Learning · Computer Science 2024-02-21 David Lüdke , Marin Biloš , Oleksandr Shchur , Marten Lienen , Stephan Günnemann

Machine learning models are increasingly trained or fine-tuned on synthetic data. Recursively training on such data has been observed to significantly degrade performance in a wide range of tasks, often characterized by a progressive drift…

Machine Learning · Statistics 2026-02-19 Nail B. Khelifa , Richard E. Turner , Ramji Venkataramanan

In this work, we aimed to replicate and extend the results presented in the DiffFluid paper[1]. The DiffFluid model showed that diffusion models combined with Transformers are capable of predicting fluid dynamics. It uses a denoising…

Fluid Dynamics · Physics 2025-07-14 Yannick Gachnang , Vismay Churiwala

Diffusion models are the go-to method for Text-to-Image generation, but their iterative denoising processes has high inference latency. Quantization reduces compute time by using lower bitwidths, but applies a fixed precision across all…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Basile Lewandowski , Simon Kurz , Aditya Shankar , Robert Birke , Jian-Jia Chen , Lydia Y. Chen

Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control…

Optimization and Control · Mathematics 2022-02-25 Naoya Ozaki , Stefano Campagnola , Ryu Funase

We study the problem of training diffusion and flow generative models to sample from target distributions defined by an exponential tilting of a base density; a formulation that subsumes both sampling from unnormalized densities and reward…

Machine Learning · Statistics 2026-05-04 Carles Domingo-Enrich , Yuanqi Du , Michael S. Albergo
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