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We present Bayesian Diffusion Models (BDM), a prediction algorithm that performs effective Bayesian inference by tightly coupling the top-down (prior) information with the bottom-up (data-driven) procedure via joint diffusion processes. We…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Haiyang Xu , Yu Lei , Zeyuan Chen , Xiang Zhang , Yue Zhao , Yilin Wang , Zhuowen Tu

Generative diffusion models, famous for their performance in image generation, are popular in various cross-domain applications. However, their use in the communication community has been mostly limited to auxiliary tasks like data modeling…

Networking and Internet Architecture · Computer Science 2025-03-11 Ruihuai Liang , Bo Yang , Zhiwen Yu , Bin Guo , Xuelin Cao , Mérouane Debbah , H. Vincent Poor , Chau Yuen

Diffusion Models represent a significant advancement in generative modeling, employing a dual-phase process that first degrades domain-specific information via Gaussian noise and restores it through a trainable model. This framework enables…

Neural and Evolutionary Computing · Computer Science 2024-11-21 Benedikt Hartl , Yanbo Zhang , Hananel Hazan , Michael Levin

Bayesian Optimization (BO) is an efficient tool for optimizing black-box functions, but its theoretical guarantees typically hold in the asymptotic regime. In many critical real-world applications such as drug discovery or materials design,…

Machine Learning · Computer Science 2025-11-04 Diantong Li , Kyunghyun Cho , Chong Liu

Diffusion has emerged as a powerful framework for generative modeling, achieving remarkable success in applications such as image and audio synthesis. Enlightened by this progress, we propose a novel diffusion-based approach for symbolic…

Machine Learning · Computer Science 2025-06-02 Zachary Bastiani , Robert M. Kirby , Jacob Hochhalter , Shandian Zhe

Variable selection for high-dimensional, highly correlated data has long been a challenging problem, often yielding unstable and unreliable models. We propose a resample-aggregate framework that exploits diffusion models' ability to…

Methodology · Statistics 2025-08-20 Minjie Wang , Xiaotong Shen , Wei Pan

Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

Machine Learning · Computer Science 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

Bayesian methods are particularly effective for addressing inverse problems due to their ability to manage uncertainties inherent in the inference process. However, employing these methods with costly forward models poses significant…

Computational Engineering, Finance, and Science · Computer Science 2025-10-30 G. Robalo Rei , C. P. Schmidt , J. Nitzler , M. Dinkel , W. A. Wall

Diffusion models have been used as priors for solving inverse problems. However, existing approaches typically overlook side information that could significantly improve reconstruction quality, especially in severely ill-posed settings. In…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Mahdi Farahbakhsh , Vishnu Teja Kunde , Dileep Kalathil , Krishna Narayanan , Jean-Francois Chamberland

Complex design problems are common in the scientific and industrial fields. In practice, objective functions or constraints of these problems often do not have explicit formulas, and can be estimated only at a set of sampling points through…

Optimization and Control · Mathematics 2022-10-12 Lulu Zhang , Zhi-Qin John Xu , Yaoyu Zhang

Bayesian Optimization (BO) is a powerful method for optimizing black-box functions by combining prior knowledge with ongoing function evaluations. BO constructs a probabilistic surrogate model of the objective function given the covariates,…

Machine Learning · Statistics 2025-08-26 Roi Naveiro , Becky Tang

Developing efficient solutions for inference problems in intelligent sensor networks is crucial for the next generation of location, tracking, and mapping services. This paper develops a scalable distributed probabilistic inference…

Machine Learning · Computer Science 2023-10-24 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

Diffusion models have been successful in learning complex data distributions. This capability has driven their application to high-dimensional multi-objective black-box optimization problem. Existing approaches often employ an external…

Machine Learning · Computer Science 2025-10-31 Kim Yong Tan , Yueming Lyu , Ivor Tsang , Yew-Soon Ong

Recent studies on inverse problems have proposed posterior samplers that leverage the pre-trained diffusion models as powerful priors. These attempts have paved the way for using diffusion models in a wide range of inverse problems.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Sojin Lee , Dogyun Park , Inho Kong , Hyunwoo J. Kim

Diffusion models have recently driven significant breakthroughs in generative modeling. While state-of-the-art models produce high-quality samples on average, individual samples can still be low quality. Detecting such samples without human…

Machine Learning · Computer Science 2025-06-13 Metod Jazbec , Eliot Wong-Toi , Guoxuan Xia , Dan Zhang , Eric Nalisnick , Stephan Mandt

Bayesian optimization (BO) is a widely-used sequential method for zeroth-order optimization of complex and expensive-to-compute black-box functions. The existing BO methods assume that the function evaluation (feedback) is available to the…

Machine Learning · Computer Science 2022-06-22 Arun Verma , Zhongxiang Dai , Bryan Kian Hsiang Low

Bayesian optimization (BO) has been widely used in machine learning and simulation optimization. With the increase in computational resources and storage capacities in these fields, high-dimensional and large-scale problems are becoming…

Machine Learning · Computer Science 2022-06-02 Haowei Wang , Ercong Zhang , Szu Hui Ng , Giulia Pedrielli

We present an novel framework for efficiently and effectively extending the powerful continuous diffusion processes to discrete modeling. Previous approaches have suffered from the discrepancy between discrete data and continuous modeling.…

Machine Learning · Computer Science 2024-10-31 Yuxuan Gu , Xiaocheng Feng , Lei Huang , Yingsheng Wu , Zekun Zhou , Weihong Zhong , Kun Zhu , Bing Qin

A body of work has been done to automate machine learning algorithm to highlight the importance of model choice. Automating the process of choosing the best forecasting model and its corresponding parameters can result to improve a wide…

Machine Learning · Computer Science 2021-09-02 Nadhir Hassen , Irina Rish

Due to the high complexity and technical requirements of industrial production processes, surface defects will inevitably appear, which seriously affects the quality of products. Although existing lightweight detection networks are highly…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Xuyi Yu
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