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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.
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Convolution computations can be simplified by utilizing their inherent properties.
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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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The important convolution properties include width, area, differentiation, and integration properties.
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A Gran plot is used to predict the equivalence volume or endpoint of a potentiometric or acid-base titration without reaching the endpoint. Typically, titration data is collected as a function of the titrant's volume up to a point less than the equivalence volume and then transformed into a linear format. The straight line is extended to the x-axis, indicating the necessary titrant volume to achieve the equivalence point.
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Related Experiment Video

Updated: Sep 12, 2025

Temporal Ordering of Dynamic Expression Data from Detailed Spatial Expression Maps
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3D long time spatiotemporal convolution for complex transfer sequence prediction.

Qiu Yunan1, Cui Yingjie2,3, Tang Haibo4

  • 1School of Information Engineering, Jiangsu Open University, Nanjing, 21000, Jiangsu, China.

Scientific Reports
|August 9, 2025
PubMed
Summary

This study introduces 3DcT-Pred, a novel deep learning model for spatiotemporal sequence prediction (SSP). It effectively addresses historical information forgetting and captures complex non-smooth changes for improved future situation prediction.

Keywords:
3DCNNConvLSTMSpationtemporal non-stationaritySpatiotemporal attentionSpatiotemporal sequence prediction

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Area of Science:

  • Artificial Intelligence
  • Computer Vision
  • Machine Learning

Background:

  • Spatiotemporal sequence prediction (SSP) utilizes historical observations to forecast future events.
  • Deep learning models are increasingly researched for SSP, but face challenges with long-term data and capturing non-smooth changes.

Purpose of the Study:

  • To develop a novel deep learning model, 3DcT-Pred, to overcome limitations in existing spatiotemporal sequence prediction methods.
  • To enhance the prediction accuracy of future situations from spatiotemporal sequence data (SSD).

Main Methods:

  • Proposed 3DcT-Pred model employing a two-branch 3D convolution architecture.
  • Implemented a cross-structured spatio-temporal attention module to capture non-smooth local features.
  • Integrated global and local features using a fusion gating module.

Main Results:

  • The model mitigates the long-range forgetting problem by extracting global features.
  • Enhanced capture of non-smooth local features crucial for detail reconstruction.
  • Demonstrated superior performance compared to state-of-the-art models on multiple datasets, including radar echo data.

Conclusions:

  • 3DcT-Pred effectively addresses key challenges in spatiotemporal sequence prediction.
  • The proposed architecture improves the prediction of future spatiotemporal dynamics.
  • The model shows significant potential for various SSP applications.