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While measuring the mean of a data set, care needs to be taken when associating the mean to its central tendency. The same goes for the arithmetic mean, the geometric mean, or the harmonic mean. This is because the presence of a single outlier data value can significantly affect the mean. That is, the mean is sensitive to fluctuations in the data set.
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When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
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Filter Pruning via Learned Representation Median in the Frequency Domain.

Xin Zhang, Weiying Xie, Yunsong Li

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    |November 19, 2021
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    This study introduces a new filter pruning method for deep learning networks using learned representation median (LRMF) in the frequency domain. LRMF effectively removes unimportant filters without fine-tuning, outperforming existing methods in efficiency and accuracy.

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    Area of Science:

    • Deep Learning
    • Computer Vision
    • Network Optimization

    Background:

    • Existing filter pruning methods often focus on spatial domain importance, which may not generalize well.
    • Redundancy and low-frequency representations, crucial for visual tasks, are better analyzed in the frequency domain.

    Purpose of the Study:

    • To propose a novel filter pruning method that operates in the frequency domain.
    • To identify and remove absolutely unimportant filters based on learned representation median (LRMF).
    • To avoid the computationally expensive fine-tuning process typically required after pruning.

    Main Methods:

    • Calculating the learned representation median (RM) in the frequency domain using discrete cosine transform (DCT).
    • Pruning filters identified as absolutely unimportant in the frequency domain.
    • Applying the method to various deep learning architectures like ResNet and VGG.

    Main Results:

    • LRMF achieves significant reduction in Floating Point Operations (FLOPs) across multiple datasets and networks.
    • Demonstrates improved or comparable Top-1 accuracy compared to state-of-the-art pruning techniques.
    • Achieved 52.3% FLOPs reduction on ResNet110 (CIFAR-10) with a 0.04% accuracy increase and 35.9% FLOPs reduction on VGG16 (CIFAR-100) with a 0.5% accuracy increase.

    Conclusions:

    • The proposed LRMF method offers an effective and efficient approach to filter pruning in deep learning.
    • Frequency domain analysis provides a more robust criterion for filter importance than spatial domain methods.
    • LRMF enables significant model compression and acceleration without compromising, and sometimes improving, accuracy.