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The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

Social and Information Networks · Computer Science 2016-05-12 Shohreh Shaghaghian , Mark Coates

Probabilistic modeling is cyclical: we specify a model, infer its posterior, and evaluate its performance. Evaluation drives the cycle, as we revise our model based on how it performs. This requires a metric. Traditionally, predictive…

Machine Learning · Statistics 2016-05-25 Alp Kucukelbir , David M. Blei

Imitation learning addresses the challenge of learning by observing an expert's demonstrations without access to reward signals from environments. Most existing imitation learning methods that do not require interacting with environments…

Machine Learning · Computer Science 2024-06-04 Shang-Fu Chen , Hsiang-Chun Wang , Ming-Hao Hsu , Chun-Mao Lai , Shao-Hua Sun

Diffusion models have become increasingly popular for generative modeling due to their ability to generate high-quality samples. This has unlocked exciting new possibilities for solving inverse problems, especially in image restoration and…

Diffusion models represent the state-of-the-art in generative modeling. Due to their high training costs, many works leverage pre-trained diffusion models' powerful representations for downstream tasks, such as face super-resolution (FSR),…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Jiarui Yang , Tao Dai , Yufei Zhu , Naiqi Li , Jinmin Li , Shutao Xia

Denoising diffusion models are a powerful type of generative models used to capture complex distributions of real-world signals. However, their applicability is limited to scenarios where training samples are readily available, which is not…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Ayush Tewari , Tianwei Yin , George Cazenavette , Semon Rezchikov , Joshua B. Tenenbaum , Frédo Durand , William T. Freeman , Vincent Sitzmann

Discriminative classifiers have become a foundational tool in deep learning for medical imaging, excelling at learning separable features of complex data distributions. However, these models often need careful design, augmentation, and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Gian Mario Favero , Parham Saremi , Emily Kaczmarek , Brennan Nichyporuk , Tal Arbel

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

Methodology · Statistics 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

Generative diffusion models are extensively used in unsupervised and self-supervised machine learning with the aim to generate new samples from a probability distribution estimated with a set of known samples. They have demonstrated…

Fluid Dynamics · Physics 2026-01-28 Wilfried Genuist , Éric Savin , Filippo Gatti , Didier Clouteau

Using diffusion priors to solve inverse problems in imaging have significantly matured over the years. In this chapter, we review the various different approaches that were proposed over the years. We categorize the approaches into the more…

Machine Learning · Computer Science 2025-08-05 Hyungjin Chung , Jeongsol Kim , Jong Chul Ye

Physics simulations have become fundamental tools to study myriad engineering systems. As physics simulations often involve simplifications, their outputs should be calibrated using real-world data. In this paper, we present a…

Computation · Statistics 2025-08-25 Naichen Shi , Hao Yan , Shenghan Guo , Raed Al Kontar

Zero-shot diffusion posterior sampling offers a flexible framework for inverse problems by accommodating arbitrary degradation operators at test time, but incurs high computational cost due to repeated likelihood-guided updates. In…

Machine Learning · Statistics 2026-02-10 Léon Zheng , Thomas Hirtz , Yazid Janati , Eric Moulines

Constructing prediction sets with coverage guarantees for unobserved outcomes is a core problem in modern statistics. Methods for predictive inference have been developed for a wide range of settings, but usually only consider test data…

Methodology · Statistics 2025-07-11 Yonghoon Lee , Eric Tchetgen Tchetgen , Edgar Dobriban

The simulation cost for cosmological simulation-based inference can be decreased by combining simulation sets of varying fidelity. We propose an approach to such multi-fidelity inference based on feature matching and knowledge distillation.…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-02 Leander Thiele , Adrian E. Bayer , Naoya Takeishi

High-quality spatiotemporal traffic data is crucial for intelligent transportation systems (ITS) and their data-driven applications. Inevitably, the issue of missing data caused by various disturbances threatens the reliability of data…

Machine Learning · Computer Science 2024-10-22 Shaokang Cheng , Nada Osman , Shiru Qu , Lamberto Ballan

Addressing real-world optimization problems becomes particularly challenging when analytic objective functions or constraints are unavailable. While numerous studies have addressed the issue of unknown objectives, limited research has…

We propose a new framework for the analysis of current and future cosmological surveys, which combines perturbative methods (PT) on large scales with conditional simulation-based implicit inference (SBI) on small scales. This enables…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-20 Chirag Modi , Oliver H. E. Philcox

Some statistical models are specified via a data generating process for which the likelihood function cannot be computed in closed form. Standard likelihood-based inference is then not feasible but the model parameters can be inferred by…

Computation · Statistics 2015-02-20 Michael U. Gutmann , Jukka Corander , Ritabrata Dutta , Samuel Kaski

Despite the promise of Neural Posterior Estimation (NPE) methods in astronomy, the adaptation of NPE into the routine inference workflow has been slow. We identify three critical issues: the need for custom featurizer networks tailored to…

Instrumentation and Methods for Astrophysics · Physics 2023-12-25 Keming Zhang , Joshua S. Bloom , Stéfan van der Walt , Nina Hernitschek

The recent surge in machine learning (ML) methods for geophysical modeling has raised the question of how these methods might be applied to data assimilation (DA). We focus on diffusion modeling (a form of generative artificial…

Atmospheric and Oceanic Physics · Physics 2025-08-29 Daniel Hodyss , Matthias Morzfeld
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