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Related Concept Videos

Probability Histograms01:17

Probability Histograms

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A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
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Histogram01:05

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The histogram is a graphical representation in the x-y form of data distribution in a data set. The horizontal x-axis is labeled with what the data represents (for instance, distance from your home to school). The vertical y-axis is labeled either frequency or relative frequency (or percent frequency or probability).
A histogram graph consists of contiguous (adjoining) boxes. The heights of the bars correspond to frequency values. The graph will have the same shape with respective labels. The...
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Guidelines for Sketching a Curve01:23

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Curve sketching is a systematic method for understanding the overall behavior of a function by analyzing its key mathematical features. A function defines a curve on the coordinate plane, where the horizontal axis represents the input variable and the vertical axis represents the output. The process begins by determining the domain, which specifies the set of input values for which the function is defined and establishes the horizontal extent of the graph.Intercepts with the horizontal and...
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Curve Sketching and Derivatives01:22

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Understanding the behavior of a function through its first and second derivatives is essential for analyzing its graph. Derivatives provide insight into where a function increases or decreases, where it attains local maxima or minima, and how its curvature behaves across different intervals.The first derivative of a function reveals the slope of the tangent line at any given point. Points where the derivative is zero or undefined are considered critical, as they often indicate potential extrema...
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Stream Function01:20

Stream Function

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In two-dimensional incompressible fluid flow, the continuity equation is essential for ensuring mass conservation, meaning that any change in fluid entering or exiting a region is balanced by a corresponding change elsewhere. For incompressible flow, where density remains constant, this requirement simplifies to the condition that the divergence of the velocity field must be zero. Mathematically, this is expressed as,
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Relative Frequency Histogram01:14

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The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
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Oral Biofilm Sampling for Microbiome Analysis in Healthy Children
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Streaming histogram sketching for rapid microbiome analytics.

Will Pm Rowe1, Anna Paola Carrieri2, Cristina Alcon-Giner3

  • 1Scientific Computing Department, STFC Daresbury Laboratory, Warrington, UK. will.rowe@stfc.ac.uk.

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|March 18, 2019
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Summary
This summary is machine-generated.

We developed a new method using similarity-preserving sketches to rapidly process large microbiome datasets. This approach enables fast classification and searching of microbiome samples, crucial for genomic research and clinical metagenomics.

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Area of Science:

  • Genomic Research
  • Microbiome Analysis
  • Bioinformatics

Background:

  • Publicly available microbiome data has surged, necessitating efficient analytical tools.
  • The increasing volume of microbiome data and research requires rapid processing methods.
  • Clinical metagenomics demands analytics capable of handling massive datasets quickly.

Purpose of the Study:

  • To propose a novel method for compact representation of microbiome sequencing data.
  • To enable rapid dissimilarity estimation, catalogue searching, and classification of microbiome samples.
  • To address the need for fast analytics in the era of clinical metagenomics.

Main Methods:

  • Applied streaming histogram sketching for dimensionality reduction of microbiome k-mer spectra.
  • Created compressed 'histosketches' for efficient microbiome data representation.
  • Utilized locality-sensitive hashing indexing for rapid similarity searches.

Main Results:

  • Hitosketches enabled clustering of samples by type using Jaccard similarity.
  • Demonstrated accurate classification of microbiome samples using machine learning classifiers.
  • Achieved 97% accuracy in predicting antibiotic treatment in neonates from microbiome data.

Conclusions:

  • The proposed method offers a new approach for rapid processing of microbiome data streams.
  • Hitosketches allow for fast sample clustering, indexing, and classification.
  • The HULK implementation efficiently processes large microbiome datasets on standard hardware.