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Related Concept Videos

Sampling Methods: Overview01:06

Sampling Methods: Overview

1.1K
A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling. 
In analytical chemistry, the choice of...
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Sampling Methods: Sample Types01:18

Sampling Methods: Sample Types

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Sampling materials are classified into three main types: solid, liquid, and gas.
Solid samples include a variety of substances, such as sediments from water bodies, soil, metals, and biological tissues. Two standard methods for extracting sediments from water bodies are grab sampling and piston coring. Grab sampling involves using a device to collect a discrete sediment sample from the bottom of a water body with minimal disturbance. Grab samples do not always represent the entire area due to...
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Sampling Plans01:23

Sampling Plans

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Sampling is a crucial step in analytical chemistry, allowing researchers to collect representative data from a large population. Common sampling methods include random, judgmental, systematic, stratified, and cluster sampling.
Random sampling is a method where each member of the population has an equal chance of being selected for the sample. It involves selecting individuals randomly, often using random number generators or lottery-type methods. For example, when analyzing the properties of a...
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Cluster Sampling Method01:20

Cluster Sampling Method

13.7K
Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
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Sampling Theorem01:15

Sampling Theorem

1.0K
In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
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Sampling Distribution01:12

Sampling Distribution

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Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each sample, the probability distribution of all the measured characteristics is called a sampling distribution. How much the statistic varies from one sample to another is known as the sampling variability of a statistic. You typically measure the sampling variability of a statistic by its standard error. The standard error of the mean is an example...
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Constructing and Visualizing Models using Mime-based Machine-learning Framework
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J-MoDL: Joint Model-Based Deep Learning for Optimized Sampling and Reconstruction.

Hemant Kumar Aggarwal1, Mathews Jacob1

  • 1Department of Electrical and Computer Engineering, University of Iowa, IA, USA, 52242.

IEEE Journal of Selected Topics in Signal Processing
|February 22, 2021
PubMed
Summary
This summary is machine-generated.

Optimizing magnetic resonance imaging (MRI) sampling patterns alongside deep learning reconstruction models significantly enhances image quality and reduces scan times. This joint optimization strategy improves the performance of advanced MRI reconstruction algorithms.

Keywords:
Deep learningExperiment designParallel MRISampling

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Area of Science:

  • Medical Imaging
  • Artificial Intelligence
  • Signal Processing

Background:

  • Modern Magnetic Resonance Imaging (MRI) utilizes compressed sensing and deep learning to shorten scan times by reconstructing data from undersampled measurements.
  • Image quality in these accelerated MRI techniques is critically dependent on the chosen sampling pattern.

Purpose of the Study:

  • To introduce a novel continuous strategy for jointly optimizing MRI sampling patterns and deep learning network parameters.
  • To enhance the image quality and efficiency of accelerated MRI acquisition.

Main Methods:

  • Developed a multichannel forward model incorporating a non-uniform Fourier transform with continuously defined sampling locations.
  • Integrated this model into the data consistency block of a model-based deep learning image reconstruction framework.
  • Facilitated joint and continuous optimization of both sampling patterns and Convolutional Neural Network (CNN) parameters.

Main Results:

  • Demonstrated that joint optimization of sampling patterns and reconstruction modules significantly improves the performance of deep learning-based MRI reconstruction algorithms.
  • Achieved superior image quality compared to methods with fixed or independently optimized sampling patterns.

Conclusions:

  • The proposed joint optimization strategy offers a powerful approach to enhance accelerated MRI.
  • This method holds potential for improving diagnostic accuracy and patient comfort in clinical MRI settings.