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Related Concept Videos

Convolution: Math, Graphics, and Discrete Signals01:24

Convolution: Math, Graphics, and Discrete Signals

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In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
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Convolution Properties I01:20

Convolution Properties I

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Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
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Convolution Properties II01:17

Convolution Properties II

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The important convolution properties include width, area, differentiation, and integration properties.
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
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Reducing Line Loss01:18

Reducing Line Loss

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In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss...
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Downsampling01:20

Downsampling

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When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
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Vector Operations01:20

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Vectors are physical quantities that have both magnitude and direction. The vector operations include addition, subtraction, and scalar multiplication.
A vector multiplied by a scalar value is called scalar multiplication. The result obtained is a new vector with a different magnitude. If the scalar is positive, the direction of the vector remains the same, but if it is negative, the direction of the vector is reversed. For example, the product of the mass and velocity yields the momentum.
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Updated: Sep 9, 2025

Diffusion Tensor Magnetic Resonance Imaging in the Analysis of Neurodegenerative Diseases
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Reduced storage direct tensor ring decomposition for convolutional neural networks compression.

Mateusz Gabor1, Rafał Zdunek1

  • 1Faculty of Electronics, Photonics, and Microsystems, Wroclaw University of Science and Technology, Wybrzeze Wyspianskiego 27, Wroclaw, 50-370, Poland.

Neural Networks : the Official Journal of the International Neural Network Society
|September 4, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a new low-rank method for compressing convolutional neural networks (CNNs) using reduced storage direct tensor ring decomposition (RSDTR). RSDTR significantly reduces model size and computation while maintaining high image classification accuracy.

Keywords:
Convolutional neural networksReduced storage low-rank compressionTensor ring decomposition

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Area of Science:

  • Computer Vision
  • Machine Learning
  • Deep Learning Optimization

Background:

  • Convolutional Neural Networks (CNNs) are essential for computer vision tasks like image classification.
  • Model compression is crucial for enhancing CNN efficiency in terms of storage and computation.
  • Low-rank approximation methods offer a promising avenue for CNN compression by decomposing large kernels.

Purpose of the Study:

  • To propose a novel low-rank method for CNN compression.
  • To leverage reduced storage direct tensor ring decomposition (RSDTR) for efficient kernel approximation.
  • To evaluate the effectiveness of RSDTR in achieving high compression rates and preserving accuracy.

Main Methods:

  • Developed a novel low-rank CNN compression technique based on RSDTR.
  • Implemented RSDTR to approximate convolutional kernels, reducing parameter and FLOPS complexity.
  • Conducted experiments on CIFAR-10 and ImageNet datasets to assess performance.

Main Results:

  • The proposed RSDTR method achieved significant parameter and FLOPS compression rates.
  • RSDTR demonstrated superior circular mode permutation flexibility compared to existing methods.
  • Compressed networks using RSDTR maintained competitive classification accuracy.

Conclusions:

  • RSDTR is an effective method for compressing CNNs.
  • The approach offers a favorable trade-off between compression efficiency and classification performance.
  • RSDTR outperforms other state-of-the-art CNN compression techniques.