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Related Concept Videos

Sampling Methods: Overview01:06

Sampling Methods: Overview

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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 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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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 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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Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
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Random Sampling Method01:09

Random Sampling Method

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Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures 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. Among the various sampling methods used by...
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JOINT OPTIMIZATION OF SAMPLING PATTERN AND PRIORS IN MODEL BASED DEEP LEARNING.

Hemant K Aggarwal1, Mathews Jacob1

  • 1University of Iowa, Iowa, USA.

Proceedings. IEEE International Symposium on Biomedical Imaging
|February 15, 2021
PubMed
Summary
This summary is machine-generated.

This study optimizes sampling patterns and deep learning reconstruction for compressed sensing MRI. Joint optimization in a model-based framework improves image recovery from undersampled data compared to direct inversion methods.

Keywords:
deep learningsampling

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Area of Science:

  • Medical Imaging
  • Artificial Intelligence
  • Signal Processing

Background:

  • Deep learning (DL) offers advanced solutions for compressed sensing Magnetic Resonance Imaging (CS-MRI) by recovering images from undersampled data.
  • Current DL methods lack theoretical understanding of image redundancies, hindering optimal sampling pattern selection for effective reconstruction.
  • This gap complicates the choice of sampling strategies, impacting the quality of recovered MR images.

Purpose of the Study:

  • To optimize sampling patterns and reconstruction parameters within a model-based DL framework for CS-MRI.
  • To enhance the performance of image recovery from highly undersampled MRI data.
  • To address the limitations of current DL approaches in understanding image properties and sampling effects.

Main Methods:

  • Proposing a model-based deep learning framework for joint optimization of sampling patterns and reconstruction parameters.
  • Implementing a strategy that decouples the effects of sampling and image properties during reconstruction.
  • Comparing the proposed joint optimization approach against direct inversion Convolutional Neural Network (CNN) schemes.

Main Results:

  • The model-based joint optimization strategy demonstrated superior performance compared to direct inversion CNN methods.
  • Improved image recovery was achieved by effectively decoupling sampling and image properties.
  • Quantitative and qualitative analyses confirmed the benefits of the proposed model-based scheme.

Conclusions:

  • Joint optimization of sampling patterns and reconstruction parameters in a model-based DL framework significantly enhances CS-MRI performance.
  • The proposed method offers a more theoretically grounded approach to CS-MRI, improving image quality and recovery.
  • This work provides a pathway for developing more efficient and effective deep learning strategies for accelerated MRI acquisition.