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Related Concept Videos

Variance01:15

Variance

9.7K
 The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative deviation occurs when the data value is less than the mean. If the deviations are added, the sum is always zero. So one cannot simply add the deviations to get the data spread. By squaring the deviations, the numbers are made positive; thus, their sum will also be positive.
The standard deviation measures the spread in the same units as the...
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Variability: Analysis01:11

Variability: Analysis

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Measures of variability are statistical metrics that reveal the dispersion pattern within a dataset. They are pivotal in biostatistics, providing insights into the heterogeneity within health and biological data. Variability signifies the degree to which data points diverge from one another, helping researchers understand the potential range of values and associated uncertainty within the data.
The range is a simple measure of variability, indicating the difference between the highest and...
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Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
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Genetic Variation01:25

Genetic Variation

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Genetic variation is the diversity in DNA sequences found among individuals of the same species. This diversity is crucial for a species' survival because it helps organisms adapt to environmental changes. Genetic variation begins with fertilization, where an egg and sperm cell merge. Each of these cells carries 23 chromosomes, up to 46 in the fertilized egg. Chromosomes are long DNA strands that contain genes, the basic units of heredity.
Genes exist in different versions called alleles,...
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Coefficient of Variation01:10

Coefficient of Variation

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The coefficient of variation measures the dispersion of the data points or distribution around the mean. Using the coefficient of variation, we can compare two data series with drastically different means or different units of measurement. The coefficient of variation for a sample and a population is expressed as a percentage of the ratio of standard deviation to the mean.
The coefficient of variation is a practical statistical tool in finance. It allows investors to assess the volatility or...
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What is Variation?01:14

What is Variation?

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Apart from the measures of central tendency, distribution, outliers, and the changing characteristics of data with time, an important characteristic of any data set is its variation or spread. In some data sets, the data values are concentrated closely near the mean; in others, the data values are more widely spread out from the mean.
The range, standard deviation, standard error, and variance are the different measures of variation.
Range: The range is the difference between its maximum and...
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eVAE: Evolutionary Variational Autoencoder.

Zhangkai Wu, Longbing Cao, Lei Qi

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    Summary
    This summary is machine-generated.

    This study introduces an evolutionary Variational Autoencoder (eVAE) to dynamically balance representation learning and task fitting. eVAE improves generative tasks like text and image generation by integrating evolutionary algorithms, overcoming limitations of existing methods.

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    Area of Science:

    • Artificial Intelligence
    • Machine Learning
    • Deep Learning

    Background:

    • Variational Autoencoders (VAEs) face challenges with representation inference and task fitting due to surrogate loss.
    • Current methods for balancing these aspects involve coefficient tuning, leading to tradeoff uncertainty and inflexible hyperparameters.
    • Existing approaches lack dynamic regulation and require manual hyperparameter adjustments, limiting their adaptability.

    Purpose of the Study:

    • To introduce an evolutionary Variational Autoencoder (eVAE) that dynamically addresses the tradeoff uncertainty in VAEs.
    • To integrate variational information bottleneck (VIB) theory with evolutionary neural learning for improved VAE performance.
    • To provide a novel evolutionary paradigm for optimizing VAE critical factors and overcoming deep learning integration issues.

    Main Methods:

    • Developed an evolutionary VAE (eVAE) by integrating a variational genetic algorithm (VGA) into the VAE framework.
    • Implemented variational evolutionary operators: variational mutation (V-mutation), crossover, and evolution.
    • Designed a training mechanism that dynamically updates the evidence lower bound (ELBO) tradeoff without additional constraints or hyperparameter tuning.

    Main Results:

    • eVAE effectively addresses the KL-vanishing problem in text generation, achieving low reconstruction loss.
    • Demonstrated improved image generation quality, producing sharp images with disentangled factors.
    • Achieved superior disentanglement, generation performance, and generation-inference balance compared to competing methods.

    Conclusions:

    • eVAE offers a synergistic and dynamic approach to managing the learning tradeoff in VAEs.
    • The evolutionary paradigm in eVAE mitigates premature convergence and random search issues in deep learning.
    • eVAE presents a more balanced and effective solution for VAE tasks, enhancing both generation and inference capabilities.