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A problem is addressed of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy. A sampling theory based method of image sampling and reconstruction is suggested that allows…

Computer Vision and Pattern Recognition · Computer Science 2017-05-24 Leonid Yaroslavsky

Sampling is a fundamental aspect of any implementation of compressive sensing. Typically, the choice of sampling method is guided by the reconstruction basis. However, this approach can be problematic with respect to certain hardware…

Signal Processing · Electrical Eng. & Systems 2019-06-24 Elin Farnell , Henry Kvinge , John P. Dixon , Julia R. Dupuis , Michael Kirby , Chris Peterson , Elizabeth C. Schundler , Christian W. Smith

With appropriately chosen sampling probabilities, sampling-based random projection can be used to implement large-scale statistical methods, substantially reducing computational cost while maintaining low statistical error. However,…

Machine Learning · Statistics 2026-01-13 Yifan Chen , Yun Yang

Multi-contrast Magnetic Resonance Imaging (MRI) acquisitions from a single scan have tremendous potential to streamline exams and reduce imaging time. However, maintaining clinically feasible scan time necessitates significant…

Image and Video Processing · Electrical Eng. & Systems 2021-03-09 Ke Wang , Enhao Gong , Yuxin Zhang , Suchadrima Banerjee , Greg Zaharchuk , John Pauly

The Cox proportional hazards model is widely used in survival analysis to model time-to-event data. However, it faces significant computational challenges in the era of large-scale data, particularly when dealing with time-dependent…

Methodology · Statistics 2025-01-14 Miaomiao Su , Ruoyu Wang

One of the key steps in ultrasound image formation is digital beamforming of signals sampled by several transducer elements placed upon an array. High-resolution digital beamforming introduces the demand for sampling rates significantly…

Information Theory · Computer Science 2015-08-21 Amir Burshtein , Michael Birk , Tanya Chernyakova , Alon Eilam , Arcady Kempinskiand , Yonina C. Eldar

In order to efficiently study the characteristics of network domains and support development of network systems (e.g. algorithms, protocols that operate on networks), it is often necessary to sample a representative subgraph from a large…

Social and Information Networks · Computer Science 2012-06-22 Nesreen K. Ahmed , Jennifer Neville , Ramana Kompella

We show how the ability to slow down, amplify, and capture fast transient events can produce high-throughput real-time instruments ranging from digitizers to imaging flow cytometers for detection of rare diseased cells in blood.

Instrumentation and Detectors · Physics 2011-06-29 Bahram Jalali , Keisuke Goda , Ali Fard , Sang Hyup Kim

Combinations of spectroscopic analysis and microscopic techniques are used across many disciplines of scientific research, including material science, chemistry and biology. X-ray spectromicroscopy, in particular, is a powerful tool used…

Medical Physics · Physics 2023-10-17 Oliver Townsend , Silvia Gazzola , Sergey Dolgov , Paul Quinn

Subsampling methods aim to select a subsample as a surrogate for the observed sample. As a powerful technique for large-scale data analysis, various subsampling methods are developed for more effective coefficient estimation and model…

Methodology · Statistics 2021-05-05 Tao Li , Cheng Meng

High quality scanning transmission electron microscopy (STEM) data acquisition and analysis has become increasingly important due to the commercial demand for investigating the properties of complex materials such as battery cathodes;…

Subsampling methods aim to select a subsample as a surrogate for the observed sample. Such methods have been used pervasively in large-scale data analytics, active learning, and privacy-preserving analysis in recent decades. Instead of…

Machine Learning · Statistics 2022-06-03 Jingyi Zhang , Cheng Meng , Jun Yu , Mengrui Zhang , Wenxuan Zhong , Ping Ma

Randomness extraction is an essential post-processing step in practical quantum cryptography systems. When statistical fluctuations are taken into consideration, the requirement of large input data size could heavily penalise the speed and…

Quantum Physics · Physics 2024-04-09 Hong Jie Ng , Wen Yu Kon , Ignatius William Primaatmaja , Chao Wang , Charles Lim

The complex fluidic nature of blood, though necessary to serve different physiological purposes, gives rise to daunting challenges in developing unified conceptual paradigm describing the underlying physics of blood at pinch, which may…

Fluid Dynamics · Physics 2016-05-20 Shantimoy Kar , Aritra Kar , Kaustav Chaudhury , Tapas Kumar Maiti , Suman Chakraborty

In the first part of the series papers, we set out to answer the following question: given specific restrictions on a set of samplers, what kind of signal can be uniquely represented by the corresponding samples attained, as the foundation…

Information Theory · Computer Science 2021-08-25 Hanshen Xiao , Yaowen Zhang , Guoqiang Xiao

Recent advances in powerful pre-trained diffusion models encourage the development of methods to improve the sampling performance under well-trained diffusion models. This paper introduces Diffusion Rejection Sampling (DiffRS), which uses a…

Machine Learning · Computer Science 2024-05-29 Byeonghu Na , Yeongmin Kim , Minsang Park , Donghyeok Shin , Wanmo Kang , Il-Chul Moon

Discovering valuable insights from data through meaningful associations is a crucial task. However, it becomes challenging when trying to identify representative patterns in quantitative databases, especially with large datasets, as…

Databases · Computer Science 2024-10-31 Lamine Diop , Marc Plantevit

It is currently difficult to distill discrete diffusion models. In contrast, continuous diffusion literature has many distillation approaches methods that can reduce sampling steps to a handful. Our method, Discrete Moment Matching…

Machine Learning · Computer Science 2026-03-23 Emiel Hoogeboom , David Ruhe , Jonathan Heek , Thomas Mensink , Tim Salimans

Large-sample data became prevalent as data acquisition became cheaper and easier. While a large sample size has theoretical advantages for many statistical methods, it presents computational challenges. Sketching, or compression, is a…

Machine Learning · Statistics 2020-05-11 Alexander F. Lapanowski , Irina Gaynanova

Blood vessel constriction is simulated with particle-based method using a molecular dynamics authoring software known as Molecular Workbench (WM). Blood flow and vessel wall, the only components considered in constructing a blood vessel,…

Biological Physics · Physics 2014-04-01 Mohamad Rendi , Suprijadi , Sparisoma Viridi