Fetching the paper…
Reading the bibliography…
In this short paper, a neural network that is able to form a low dimensional topological hidden representation is explained.
J. B. Kruskal, “Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis,” Psychometrika , vol. 29, no. 1, pp. 1–27, Mar 1964. [Online]. Available: https://doi.org/10.1007/BF02289565
1964
Earlier work this paper cites.
J. W. Sammon, “A nonlinear mapping for data structure analysis,” IEEE Transactions on Computers , vol. C-18, no. 5, pp. 401–409, May 1969
1969
Earlier work this paper cites.
T. Kohonen, “Self-organized formation of topologically correct feature maps,” Biological Cybernetics , vol. 43, pp. 59–69, 1982
1982
Earlier work this paper cites.
J. B. Tenenbaum, “Mapping a manifold of perceptual observations,” in Advances in Neural Information Processing Systems 10 , M. I. Jordan, M. J. Kearns, and S. A. Solla, Eds. MIT Press, 1998, pp. 682–688. [Online]. Available: http://papers.nips.cc/paper/1332-mapping-a-manifold-of-perceptual-observations.pdf
1998
Earlier work this paper cites.
S. T. Roweis and L. K. Saul, “Nonlinear dimensionality reduction by locally linear embedding,” Science , vol. 290, no. 5500, pp. 2323–2326, 2000. [Online]. Available: https://science.sciencemag.org/content/290/5500/2323
2000
Earlier work this paper cites.
J. B. Tenenbaum, V. d. Silva, and J. C. Langford, “A global geometric framework for nonlinear dimensionality reduction,” Science , vol. 290, no. 5500, pp. 2319–2323, 2000. [Online]. Available: https://science.sciencemag.org/content/290/5500/2319
2000
Earlier work this paper cites.
G. E. Hinton and S. T. Roweis, “Stochastic neighbor embedding,” in Advances in Neural Information Processing Systems 15 , S. Becker, S. Thrun, and K. Obermayer, Eds. MIT Press, 2003, pp. 857–864. [Online]. Available: http://papers.nips.cc/paper/2276-stochastic-neighbor-embedding.pdf
2003
Cited alongside, same era.
J. Goldberger, S. Roweis, G. Hinton, and R. Salakhutdinov, “Neighbourhood components analysis,” in Proceedings of the 17th International Conference on Neural Information Processing Systems , ser. NIPS’04. Cambridge, MA, USA: MIT Press, 2004, pp. 513–520. [Online]. Available: http://dl.acm.org/citation.cfm?id=2976040.2976105
2004
Cited alongside, same era.
G. Hinton and R. Salakhutdinov, “Reducing the dimensionality of data with neural networks,” Science , vol. 313, no. 5786, pp. 504—507, 2006
2006
Cited alongside, same era.
L. van der Maaten, “Visualizing high-dimensional data using t-sne,” Journal of Machine Learning Research , vol. 9, pp. 2579–2605, 2008
2008
P. Hartono, P. Hollensen, and T. Trappenberg, “Learning-regulated context relevant topographical map,” IEEE Trans. on Neural Networks and Learning Systems , vol. 26, no. 10, pp. 2323–2335, 2015
2015
Later among the works it cites.
P. Hartono, “Classification and dimensional reduction using restricted radial basis function networks,” Neural Computing and Applications , 2016
2016
Later among the works it cites.
P. Hartono and Y. Take, “Pairwise elastic self-organizing maps,” in 2017 12th International Workshop on Self-Organizing Maps and Learning Vector Quantization, Clustering and Data Visualization (WSOM) , June 2017, pp. 1–7
2017
Later among the works it cites.
L. McInnes, J. Healy, and J. Melville, “Umap: Uniform manifold approximation and projection for dimension reduction,” 2018
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
——, “Essential of self-organizing map,” Neural Networks , vol. 37, pp. 52–65, 2013
2013
Cited alongside, same era.
——, “Accelerating t-sne using tree-based algorithms,” Journal of Machine Learning Research , vol. 15, pp. 3221–3245, 2014. [Online]. Available: http://jmlr.org/papers/v15/vandermaaten14a.html
2014
Cited alongside, same era.
Y. Zhang, Z. Zhang, J. Qin, L. Zhang, B. Li, and F. Li, “Semi-supervised local multi-manifold isomap by linear embedding for feature extraction,” Pattern Recognition , vol. 76, pp. 662 – 678, 2018. [Online]. Available: http://www.sciencedirect.com/science/article/pii/S0031320317303977
2018
Later among the works it cites.