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U-Net

swMATH ID: 33176
Software Authors: Ronneberger, O.; Fischer, P.; Brox, T.
Description: U-Net: Convolutional networks for biomedical image segmentation. There is large consent that successful training of deep networks requires many thousand annotated training samples. In this paper, we present a network and training strategy that relies on the strong use of data augmentation to use the available annotated samples more efficiently. The architecture consists of a contracting path to capture context and a symmetric expanding path that enables precise localization. We show that such a network can be trained end-to-end from very few images and outperforms the prior best method (a sliding-window convolutional network) on the ISBI challenge for segmentation of neuronal structures in electron microscopic stacks. Using the same network trained on transmitted light microscopy images (phase contrast and DIC) we won the ISBI cell tracking challenge 2015 in these categories by a large margin. Moreover, the network is fast. Segmentation of a 512x512 image takes less than a second on a recent GPU. The full implementation (based on Caffe) and the trained networks are available at http://lmb.informatik.uni-freiburg.de/people/ronneber/u-net
Homepage: https://lmb.informatik.uni-freiburg.de/people/ronneber/u-net/
Related Software: Adam; ImageNet; AlexNet; PyTorch; TensorFlow; SegNet; CycleGAN; pix2pix; DeepLab; GitHub; Keras; Wasserstein GAN; DGM; Tensor2Tensor; PDE-Net; CIFAR; Faster R-CNN; DeconvNet; ViT; Python
Cited in: 231 Documents
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Cited by 813 Authors

7 Arridge, Simon R.
5 Schönlieb, Carola-Bibiane
5 Ying, Lexing
5 Zeng, Tie Yong
4 Haltmeier, Markus
4 Schwab, Johannes
4 Tai, Xuecheng
4 Zepeda-Núñez, Leonardo
3 Antholzer, Stephan
3 Fan, Yuwei
3 Hauptmann, Andreas S.
3 Jia, Fan
3 Kutyniok, Gitta
3 Lin, Lin
3 Liu, Jun
3 Maass, Peter
3 Thürey, Nils
3 Ye, Jong Chul
3 Zabaras, Nicholas J.
2 Barati Farimani, Amir
2 Boulch, Alexandre
2 Chanda, Bhabatosh
2 Chen, Liwei
2 de Hoop, Maarten V.
2 Durlofsky, Louis J.
2 Geiger, Andreas
2 Guillemot, Christine
2 Hu, Xiangyu Y.
2 Jin, Bangti
2 Kovács, Levente
2 Lassas, Matti J.
2 Le Pendu, Mikaël
2 Le Saux, Bertrand
2 Leuschner, Johannes
2 Li, Jun
2 Li, Wenbin
2 Li, Xu
2 Li, Yu
2 Liang, Jingwei
2 Liu, Yimin
2 Luo, Jiebo
2 März, Maximilian
2 Mondal, Ranjan
2 Newman, Elizabeth
2 Öktem, Ozan
2 Ruthotto, Lars
2 Schmidt, Maximilian
2 Takbiri-Borujeni, Ali
2 Tang, Meng
2 Treister, Eran
2 Unser, Michael A.
2 Yang, Xiaoping
2 Zhu, Yinhao
1 Abueidda, Diab W.
1 Adewoyin, Rilwan A.
1 Adouane, Lounis
1 Agarwal, Sonali
1 Ahsan, Unaiza
1 Al Najar, Mahmoud
1 Alabhya, Kumar
1 Almar, Rafael
1 Alt, Tobias
1 Amerini, Irene
1 Anagnostopoulos, Aris
1 Andrade-Loarca, Hector
1 Anila, S.
1 Antonelli, Laura
1 Ao, Wenqi
1 Arcucci, Rossella
1 Arias, Pablo
1 Arndt, Clemens
1 Audebert, Nicolas
1 Augustin, Matthias Albert
1 Aviles-Rivero, Angelica I.
1 Ayed, Ibrahim
1 Azevedo, Leonardo
1 Aziznejad, Shayan
1 Azulay, Yael
1 Bach, Eviatar
1 Bamer, Franz
1 Baqué, Pierre
1 Barbano, Riccardo
1 Barrera, Junior
1 Barrowclough, Oliver J. D.
1 Bauerheim, Michael
1 Ben Shalom, Gil
1 Ben-Yair, Ido
1 Bennett, Kane C.
1 Benshila, Rachid
1 Bergsma, Erwin W. J.
1 Berman, Maxim
1 Berthel, Joseph
1 Besson, Jacques
1 Bethge, Matthias
1 Beuth, Jack L.
1 Bianchi, Davide
1 Blaschko, Matthew B.
1 Blusseau, Samy
1 Bohn, Bastian
1 Boink, Yoeri E.
...and 713 more Authors
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Cited in 78 Serials

17 Journal of Computational Physics
16 Computer Methods in Applied Mechanics and Engineering
14 Mathematical Biosciences and Engineering
11 Inverse Problems and Imaging
10 International Journal of Computer Vision
9 SIAM Journal on Imaging Sciences
8 Machine Learning
8 Journal of Mathematical Imaging and Vision
5 Computers and Fluids
5 Inverse Problems
5 Computational Mechanics
5 Neural Networks
5 SIAM Journal on Mathematics of Data Science
4 SIAM Journal on Scientific Computing
4 Journal of Machine Learning Research (JMLR)
4 International Journal of Wavelets, Multiresolution and Information Processing
4 Foundations and Trends in Computer Graphics and Vision
3 Computers & Mathematics with Applications
3 Journal of Computational and Applied Mathematics
3 Computer Aided Geometric Design
3 Multidimensional Systems and Signal Processing
3 Applied Mathematical Modelling
3 Acta Universitatis Sapientiae. Informatica
3 Communications in Mathematics and Statistics
3 Research in the Mathematical Sciences
2 Journal of Fluid Mechanics
2 Information Sciences
2 International Journal of Approximate Reasoning
2 ETNA. Electronic Transactions on Numerical Analysis
2 International Journal of Applied Mathematics and Computer Science
2 Computational Geosciences
2 Multiscale Modeling & Simulation
2 Oberwolfach Reports
2 Communications in Computational Physics
2 Mathematical Geosciences
2 Journal of the Operations Research Society of China
1 International Journal of Theoretical Physics
1 International Journal for Numerical Methods in Engineering
1 Constructive Approximation
1 Neural Computation
1 International Journal of Computer Mathematics
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 Computational Statistics and Data Analysis
1 Cybernetics and Systems Analysis
1 Applied and Computational Harmonic Analysis
1 Journal of Inverse and Ill-Posed Problems
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Annals of Mathematics and Artificial Intelligence
1 Mathematical Problems in Engineering
1 Mathematics and Mechanics of Solids
1 Extremes
1 Lobachevskii Journal of Mathematics
1 IEEE Transactions on Image Processing
1 Quantitative Finance
1 Analysis and Applications (Singapore)
1 Acta Numerica
1 Engineering Optimization
1 Inverse Problems in Science and Engineering
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Computational & Mathematical Methods in Medicine
1 Electronic Journal of Statistics
1 Foundations and Trends in Signal Processing
1 Discrete and Continuous Dynamical Systems. Series S
1 Kinetic and Related Models
1 São Paulo Journal of Mathematical Sciences
1 Algorithms
1 Advances in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Journal of Computational and Graphical Statistics
1 Statistics and Computing
1 Computer Science Review
1 Control Theory and Technology
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Mathematical Morphology. Theory and Applications
1 Mathematical Statistics and Learning
1 Foundations of Data Science

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