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PottsMGNet: a mathematical explanation of encoder-decoder based neural networks

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Publication:6541918
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DOI10.1137/23M1586355zbMATH Open1539.68322MaRDI QIDQ6541918

Hao Liu, Xue-Cheng Tai, R. H. Chan

Publication date: 21 May 2024

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)




zbMATH Keywords

operator splittingPotts modelimage segmentationdeep neural network


Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87)








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