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A common setting for scientific inference is the ability to sample from a high-fidelity forward model (simulation) without having an explicit probability density of the data. We propose a simulation-based maximum likelihood deconvolution…

Deep unfolding networks have gained increasing attention in the field of compressed sensing (CS) owing to their theoretical interpretability and superior reconstruction performance. However, most existing deep unfolding methods often face…

Image and Video Processing · Electrical Eng. & Systems 2025-04-17 Kai Han , Jin Wang , Yunhui Shi , Hanqin Cai , Nam Ling , Baocai Yin

We introduce a novel deep learning method for decoding error correction codes based on the Mamba architecture, enhanced with Transformer layers. Our approach proposes a hybrid decoder that leverages Mamba's efficient sequential modeling…

Information Theory · Computer Science 2025-05-26 Shy-el Cohen , Yoni Choukroun , Eliya Nachmani

Machine learning enables unbinned, highly-differential cross section measurements. A recent idea uses generative models to morph a starting simulation into the unfolded data. We show how to extend two morphing techniques, Schr\"odinger…

High Energy Physics - Phenomenology · Physics 2025-06-25 Anja Butter , Sascha Diefenbacher , Nathan Huetsch , Vinicius Mikuni , Benjamin Nachman , Sofia Palacios Schweitzer , Tilman Plehn

Data-driven forecasts of air quality have recently achieved more accurate short-term predictions. Despite their success, most of the current data-driven solutions lack proper quantifications of model uncertainty that communicate how much to…

Machine Learning · Computer Science 2021-12-07 Abdulmajid Murad , Frank Alexander Kraemer , Kerstin Bach , Gavin Taylor

Probabilistic State Space Models (SSMs) are essential for Reinforcement Learning (RL) from high-dimensional, partial information as they provide concise representations for control. Yet, they lack the computational efficiency of their…

Machine Learning · Computer Science 2024-06-24 Philipp Becker , Niklas Freymuth , Gerhard Neumann

Diffusion probabilistic models have achieved mainstream success in many generative modeling tasks, from image generation to inverse problem solving. A distinct feature of these models is that they correspond to deep hierarchical latent…

Machine Learning · Computer Science 2024-12-30 Yibo Yang , Justus C. Will , Stephan Mandt

In many experimental contexts, it is necessary to statistically remove the impact of instrumental effects in order to physically interpret measurements. This task has been extensively studied in particle physics, where the deconvolution…

High Energy Physics - Phenomenology · Physics 2024-12-17 Huanbiao Zhu , Krish Desai , Mikael Kuusela , Vinicius Mikuni , Benjamin Nachman , Larry Wasserman

Calibration of large-scale differential equation models to observational or experimental data is a widespread challenge throughout applied sciences and engineering. A crucial bottleneck in state-of-the art calibration methods is the…

Optimization and Control · Mathematics 2021-02-23 Jon Cockayne , Andrew B. Duncan

Machine learning has enabled differential cross section measurements that are not discretized. Going beyond the traditional histogram-based paradigm, these unbinned unfolding methods are rapidly being integrated into experimental workflows.…

High Energy Physics - Phenomenology · Physics 2025-05-28 Ryan Milton , Vinicius Mikuni , Trevin Lee , Miguel Arratia , Tanvi Wamorkar , Benjamin Nachman

Statistically correcting measured cross sections for detector effects is an important step across many applications. In particle physics, this inverse problem is known as unfolding. In cases with complex instruments, the distortions they…

We present a generative learning framework for probabilistic sampling based on an extension of the Probabilistic Learning on Manifolds (PLoM) approach, which is designed to generate statistically consistent realizations of a random vector…

Machine Learning · Statistics 2025-06-04 Dimitris G Giovanis , Nikolaos Evangelou , Ioannis G Kevrekidis , Roger G Ghanem

In an era of frequent extreme weather and global warming, obtaining precise, fine-grained near-surface weather forecasts is increasingly essential for human activities. Downscaling (DS), a crucial task in meteorological forecasting, enables…

Atmospheric and Oceanic Physics · Physics 2024-08-21 Zili Liu , Hao Chen , Lei Bai , Wenyuan Li , Wanli Ouyang , Zhengxia Zou , Zhenwei Shi

U-shaped architectures have long dominated the field of medical image segmentation, while Transformers are widely employed for modeling long-range dependencies. The former typically handles scale variations implicitly by aggregating…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Yanhua Zhang , Ke Zhang , Jingyu Wang , Gabriella Balestra , Samanta Rosati , Yulin Wu , Wuwei Wang , Valentina Giannini

This paper reports a novel method for supervised machine learning based on the mathematical formalism that supports quantum mechanics. The method uses projective quantum measurement as a way of building a prediction function. Specifically,…

Quantum Physics · Physics 2022-08-30 Fabio A. González , Vladimir Vargas-Calderón , Herbert Vinck-Posada

Deep neural networks (DNNs) continue to make significant advances, solving tasks from image classification to translation or reinforcement learning. One aspect of the field receiving considerable attention is efficiently executing deep…

Neural and Evolutionary Computing · Computer Science 2018-02-16 Antonio Polino , Razvan Pascanu , Dan Alistarh

Convolutional neural networks (CNNs) and transformers are widely employed in constructing UNet architectures for medical image segmentation tasks. However, CNNs struggle to model long-range dependencies, while transformers suffer from…

Image and Video Processing · Electrical Eng. & Systems 2025-03-26 Shaolei Zhang , Jinyan Liu , Tianyi Qian , Xuesong Li

In this paper, we propose a deep unfolding neural network-based MIMO detector that incorporates complex-valued computations using Wirtinger calculus. The method, referred as Dynamic Partially Shrinkage Thresholding (DPST), enables…

Machine Learning · Computer Science 2025-07-30 Hangli Ge , Noboru Koshizuka

Recently, Deep Unfolding Networks (DUNs) have achieved impressive reconstruction quality in the field of image Compressive Sensing (CS) by unfolding iterative optimization algorithms into neural networks. The reconstruction quality of DUNs…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Chen Liao , Yan Shen , Dan Li , Zhongli Wang

In this paper, we approach the problem of uncertainty quantification in deep learning through a predictive framework, which captures uncertainty in model parameters by specifying our assumptions about the predictive distribution of unseen…

Machine Learning · Statistics 2024-03-20 Luhuan Wu , Sinead Williamson