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Over the past decade, reflection matrix microscopy (RMM) and advanced image reconstruction algorithms have emerged to address the fundamental imaging depth limitations of optical microscopy in thick biological tissues and complex media. In…

Optics · Physics 2024-07-03 Sungsam Kang , Seokchan Yoon , Wonshik Choi

Existing inpainting methods have achieved promising performance for recovering regular or small image defects. However, filling in large continuous holes remains difficult due to the lack of constraints for the hole center. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Jingyuan Li , Ning Wang , Lefei Zhang , Bo Du , Dacheng Tao

High-resolution structure determination by cryo-electron microscopy (cryo-EM) requires the accurate fitting of an atomic model into an experimental density map. Traditional refinement pipelines such as Phenix.real_space_refine and Rosetta…

Biomolecules · Quantitative Biology 2026-03-10 Fuyao Huang , Xiaozhu Yu , Kui Xu , Qiangfeng Cliff Zhang

Motivated by the recently shown connection between self-attention and (kernel) principal component analysis (PCA), we revisit the fundamentals of PCA. Using the difference-of-convex (DC) framework, we present several novel formulations and…

Machine Learning · Computer Science 2025-10-22 Jan Quan , Johan Suykens , Panagiotis Patrinos

Robust Principal Component Analysis (PCA) (Candes et al., 2011) and low-rank matrix completion (Recht et al., 2010) are extensions of PCA to allow for outliers and missing entries respectively. It is well-known that solving these problems…

Numerical Analysis · Mathematics 2019-07-12 Jared Tanner , Andrew Thompson , Simon Vary

Recently, there has been a surge of interest in combining deep learning models with reasoning in order to handle more sophisticated learning tasks. In many cases, a reasoning task can be solved by an iterative algorithm. This algorithm is…

Machine Learning · Computer Science 2020-11-02 Xinshi Chen , Yufei Zhang , Christoph Reisinger , Le Song

Image reconstruction for positron emission tomography (PET) is challenging because of the ill-conditioned tomographic problem and low counting statistics. Kernel methods address this challenge by using kernel representation to incorporate…

Image and Video Processing · Electrical Eng. & Systems 2022-05-26 Siqi Li , Guobao Wang

In principle, deep learning models trained on medical time-series, including wearable photoplethysmography (PPG) sensor data, can provide a means to continuously monitor physiological parameters outside of clinical settings. However, there…

Image correction and rectangling are valuable tasks in practical photography systems such as smartphones. Recent remarkable advancements in deep learning have undeniably brought about substantial performance improvements in these fields.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Linwei Qiu , Gongzhe Li , Xiaozhe Zhang , Qilin Sun , Fengying Xie

Methodologies for multidimensionality reduction aim at discovering low-dimensional manifolds where data ranges. Principal Component Analysis (PCA) is very effective if data have linear structure. But fails in identifying a possible…

Numerical Analysis · Mathematics 2021-01-14 Alberto García-González , Antonio Huerta , Sergio Zlotnik , Pedro Díez

Deep Neural Networks (DNNs) are powerful algorithms that have been proven capable of extracting non-Gaussian information from weak lensing (WL) data sets. Understanding which features in the data determine the output of these nested,…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-14 José Manuel Zorrilla Matilla , Manasi Sharma , Daniel Hsu , Zoltán Haiman

The widespread enthusiasm for deep learning has recently expanded into the domain of tabular data. Recognizing that the advancement in deep tabular methods is often inspired by classical methods, e.g., integration of nearest neighbors into…

Machine Learning · Computer Science 2025-03-04 Han-Jia Ye , Huai-Hong Yin , De-Chuan Zhan , Wei-Lun Chao

Rotated object detection in remote sensing imagery is hindered by three major bottlenecks: non-adaptive receptive field utilization, inadequate long-range multi-scale feature fusion, and discontinuities in angle regression. To address these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Huiran Sun

Recent advances in the area of plane segmentation from single RGB images show strong accuracy improvements and now allow a reliable segmentation of indoor scenes into planes. Nonetheless, fine-grained details of these segmentation masks are…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Alexander Naumann , Laura Dörr , Niels Ole Salscheider , Kai Furmans

A process centric view of robust PCA (RPCA) allows its fast approximate implementation based on a special form o a deep neural network with weights shared across all layers. However, empirically this fast approximation to RPCA fails to find…

Neural and Evolutionary Computing · Computer Science 2014-12-30 Maximilian Karl , Christian Osendorfer

High-fidelity electron microscopy simulations required for quantitative crystal structure refinements face a fundamental challenge: while physical interactions are well-described theoretically, real-world experimental effects are…

We introduce Constr-DRKM, a deep kernel method for the unsupervised learning of disentangled data representations. We propose augmenting the original deep restricted kernel machine formulation for kernel PCA by orthogonality constraints on…

Machine Learning · Computer Science 2020-12-01 Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Developing environmentally sustainable refrigerants is critical for mitigating the impact of anthropogenic greenhouse gases on global warming. This study presents a predictive modeling framework to estimate the 100-year global warming…

Machine Learning · Computer Science 2024-12-02 Navin Rajapriya , Kotaro Kawajiri

Photoplethysmography (PPG) is a widely used non-invasive physiological sensing technique, suitable for various clinical applications. Such clinical applications are increasingly supported by machine learning methods, raising the question of…

We design algorithms for Robust Principal Component Analysis (RPCA) which consists in decomposing a matrix into the sum of a low rank matrix and a sparse matrix. We propose a deep unrolled algorithm based on an accelerated alternating…

Signal Processing · Electrical Eng. & Systems 2023-07-13 Elizabeth Z. C. Tan , Caroline Chaux , Emmanuel Soubies , Vincent Y. F. Tan