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Related Concept Videos

Downsampling01:20

Downsampling

144
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...
144
Upsampling01:22

Upsampling

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Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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Deconvolution01:20

Deconvolution

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Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
146
Convolution: Math, Graphics, and Discrete Signals01:24

Convolution: Math, Graphics, and Discrete Signals

239
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...
239
Convergence of Fourier Series01:21

Convergence of Fourier Series

139
The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...
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Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
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Analyzing Neural Activity and Connectivity Using Intracranial EEG Data with SPM Software
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FPWT: Filter pruning via wavelet transform for CNNs.

Yajun Liu1, Kefeng Fan2, Wenju Zhou1

  • 1School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China.

Neural Networks : the Official Journal of the International Neural Network Society
|August 4, 2024
PubMed
Summary
This summary is machine-generated.

Filter pruning via wavelet transform (WT) efficiently reduces computational costs in Convolutional Neural Networks (CNNs). This method enhances feature map analysis for effective filter pruning, improving model performance on mobile devices.

Keywords:
Energy-weighted coefficientsFeature mapFilter pruningWavelet transform

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Area of Science:

  • Computer Science
  • Artificial Intelligence
  • Machine Learning

Background:

  • Convolutional Neural Networks (CNNs) demand significant computational resources, limiting their use on mobile devices.
  • Current filter pruning methods primarily focus on the spatial domain, overlooking interconnections and energy distribution.
  • Image frequency domain transforms offer compression by concentrating energy, a principle explored for CNN feature maps.

Purpose of the Study:

  • To introduce a novel filter pruning method using wavelet transform (WT) for CNNs.
  • To leverage frequency domain information for more effective feature map analysis and pruning.
  • To reduce the computational and parameter load of CNNs for practical mobile applications.

Main Methods:

  • Developed Filter Pruning via Wavelet Transform (FPWT) combining WT with CNN feature maps.
  • Calculated feature map importance using cosine similarity and energy-weighted frequency components.
  • Pruned filters based on calculated importance scores.

Main Results:

  • FPWT significantly reduces FLOPs and parameters in CNNs.
  • On ResNet-110 (CIFAR-10), achieved >60% reduction in FLOPs/parameters with a 0.53% accuracy increase.
  • On ResNet-50 (ImageNet), achieved 53.8% FLOPs reduction and 49.7% parameter reduction with <1% Top-1 accuracy loss.

Conclusions:

  • FPWT effectively prunes CNN filters by analyzing frequency domain characteristics.
  • The method offers substantial computational savings with minimal impact on accuracy.
  • FPWT demonstrates practical applicability for deploying efficient CNNs on resource-constrained devices.