1 |
L. J. Allen. An introduction to mathematical biology., 2007. ISBN, 10:0-13.
|
2 |
M. Anthimopoulos, S. Christodoulidis, L. Ebner, A. Christe, and S. Mougiakakou. Lung pattern classification for interstitial lung diseases using a deep convolutional neural network. IEEE transactions on medical imaging, 35(5):1207-1216, 2016.
DOI
|
3 |
M. Caron, P. Bojanowski, A. Joulin, and M. Douze. Deep clustering for unsupervised learning of visual features. In Proceedings of the European Conference on Computer Vision (ECCV), pages 132-149, 2018.
|
4 |
Y. Chen, J. Z. Wang, and R. Krovetz. Clue: cluster-based retrieval of images by unsupervised learning. IEEE transactions on Image Processing, 14(8):1187-1201, 2005.
DOI
|
5 |
H. U. Dike, Y. Zhou, K. K. Deveerasetty, and Q. Wu. Unsupervised learning based on artificial neural network: A review. In 2018 IEEE International Conference on Cyborg and Bionic Systems (CBS), pages 322-327. IEEE, 2018.
|
6 |
B. Ermentrout. Stripes or spots? nonlinear effects in bifurcation of reaction-diffusion equations on the square. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 434(1891):413-417, 1991.
DOI
|
7 |
M. Gameiro, K. Mischaikow, and T. Wanner. Evolution of pattern complexity in the cahn-hilliard theory of phase separation. Acta Materialia, 53(3):693-704, 2005.
DOI
|
8 |
J. J. Hopfield. Neural networks and physical systems with emergent collective computational abilities. Proceedings of the national academy of sciences, 79(8):2554-2558, 1982.
DOI
|
9 |
D. Jeong, J. Shin, Y. Li, Y. Choi, J.-H. Jung, S. Lee, and J. Kim. Numerical analysis of energy-minimizing wavelengths of equilibrium states for diblock copolymers. Current Applied Physics, 14(9):1263-1272, 2014.
DOI
|
10 |
D. P. Kingma and J. Ba. Adam: A method for stochastic optimization. arXiv preprint arXiv:1412.6980, 2014.
|
11 |
D. Lee, J.-Y. Huh, D. Jeong, J. Shin, A. Yun, and J. Kim. Physical, mathematical, and numerical derivations of the cahn-hilliard equation. Computational Materials Science, 81:216-225, 2014.
DOI
|
12 |
I. Lengyel and I. R. Epstein. Modeling of turing structures in the chlorite-iodide-malonic acid-starch reaction system. Science, 251(4994):650-652, 1991.
DOI
|
13 |
J. Murray. A pattern formation mechanism and its application to mammalian coat markings. In Vito Volterra Symposium on Mathematical Models in Biology, pages 360-399. Springer, 1980.
|
14 |
J. Murray. A pre-pattern formation mechanism for animal coat markings. Journal of Theoretical Biology, 88(1):161-199, 1981.
DOI
|
15 |
H. G. Othmer, K. Painter, D. Umulis, and C. Xue. The intersection of theory and application in elucidating pattern formation in developmental biology. Mathematical modelling of natural phenomena, 4(4):3-82, 2009.
DOI
|
16 |
J. E. Pearson. Complex patterns in a simple system. Science, 261(5118):189-192, 1993.
DOI
|
17 |
R. O. Prum and S. Williamson. Reaction-diffusion models of within-feather pigmentation patterning. Proceedings of the Royal Society of London. Series B: Biological Sciences, 269(1493):781-792, 2002.
DOI
|
18 |
J. A. Reggia and D. Montgomery. A computational model of visual hallucinations in migraine. Computers in biology and medicine, 26(2):133-141, 1996.
DOI
|
19 |
Y. Shin and J. Ghosh. The pi-sigma network: An efficient higher-order neural network for pattern classification and function approximation. In IJCNN-91-Seattle international joint conference on neural networks, volume 1, pages 13-18. IEEE, 1991.
|
20 |
J. K. Seo, K. C. Kim, A. Jargal, K. Lee, and B. Harrach. A learning-based method for solving ill-posed nonlinear inverse problems: A simulation study of lung eit. SIAM journal on Imaging Sciences, 12(3):1275-1295, 2019.
DOI
|
21 |
J. Yang, D. Parikh, and D. Batra. Joint unsupervised learning of deep representations and image clusters. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pages 5147-5156, 2016.
|
22 |
A. Zheng and A. Casari. Feature engineering for machine learning: principles and techniques for data scientists. " O'Reilly Media, Inc.", 2018.
|
23 |
A. M. Turing. The chemical basis of morphogenesis. Bulletin of mathematical biology, 52(1-2):153-197, 1990.
DOI
|