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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
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The important convolution properties include width, area, differentiation, and integration properties.
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Convolution computations can be simplified by utilizing their inherent properties.
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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Related Experiment Video

Updated: Aug 16, 2025

Author Spotlight: Enhancement of Salient Object Detection for Smart Grid Applications
03:31

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EmbedFormer: Embedded Depth-Wise Convolution Layer for Token Mixing.

Zeji Wang1, Xiaowei He1, Yi Li1

  • 1College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China.

Sensors (Basel, Switzerland)
|December 23, 2022
PubMed
Summary
This summary is machine-generated.

EmbedFormer, a pure convolutional transformer, enhances performance by addressing differences between self-attention and depth-wise convolution. This new model achieves state-of-the-art results on ImageNet-1K and various downstream tasks.

Keywords:
CNNcomputer visiondeep learningvision transformer

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Area of Science:

  • Computer Vision
  • Deep Learning
  • Artificial Intelligence

Background:

  • Visual Transformers (ViTs) excel due to their ability to capture spatial and channel information.
  • MetaFormer architecture highlights the importance of token and channel mixers in transformer performance.
  • Depth-wise Convolution (DwConv) is a viable alternative to self-attention for local feature extraction in transformers.

Purpose of the Study:

  • To design a pure convolutional transformer model.
  • To investigate and address the operational differences between self-attention and DwConv.
  • To introduce EmbedFormer, a novel MetaFormer instance, for improved performance in computer vision tasks.

Main Methods:

  • A pure convolutional transformer, EmbedFormer, is designed using DwConv with an embedding layer as the token mixer.
  • SEBlock is incorporated into the channel mixer to enhance feature representation.
  • The MetaFormer block is instantiated with DwConv and an embedding layer.

Main Results:

  • EmbedFormer achieves 81.7% top-1 accuracy on ImageNet-1K classification, outperforming Swin Transformer.
  • The model demonstrates superior performance on downstream tasks compared to PoolFormer, ResNet, and DeiT.
  • On the COCO dataset, EmbedFormer shows +3.0% box AP and +2.3% mask AP improvements over PoolFormer-S24.
  • On the ADE20K dataset, EmbedFormer achieves +1.3% mIoU improvement compared to PoolFormer-S24.

Conclusions:

  • EmbedFormer, a pure convolutional transformer, offers a compelling alternative to traditional ViTs.
  • The proposed architecture effectively leverages DwConv and embedding layers for enhanced performance.
  • EmbedFormer demonstrates strong generalization capabilities across various computer vision benchmarks.