UMAP swMATH ID: 34900 Software Authors: Leland McInnes, John Healy, James Melville Description: UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction. UMAP (Uniform Manifold Approximation and Projection) is a novel manifold learning technique for dimension reduction. UMAP is constructed from a theoretical framework based in Riemannian geometry and algebraic topology. The result is a practical scalable algorithm that applies to real world data. The UMAP algorithm is competitive with t-SNE for visualization quality, and arguably preserves more of the global structure with superior run time performance. Furthermore, UMAP has no computational restrictions on embedding dimension, making it viable as a general purpose dimension reduction technique for machine learning. Homepage: https://arxiv.org/abs/1802.03426 Source Code: https://github.com/lmcinnes/umap Keywords: Machine Learning; arXiv_stat.ML; Computational Geometry; arXiv_cs.CG; arXiv_cs.LG; Uniform Manifold Approximation; Dimension Reduction Related Software: t-SNE; Scikit; word2vec; GitHub; PyTorch; ImageNet; hdbscan; Python; LargeVis; UCI-ml; Tensor2Tensor; Adam; SciPy; NumPy; Numba; largeVis; Gephi; DeepWalk; node2vec; R Cited in: 35 Publications Standard Articles 1 Publication describing the Software Year UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction Leland McInnes, John Healy, James Melville 2018 all top 5 Cited by 109 Authors 2 Lavrač, Nada 2 Škrlj, Blaž 1 Agarwala, Susama 1 Amancio, Diego R. 1 Aspeel, Antoine 1 Bonasera, Stefano 1 Bosanac, Natasha 1 Boubekki, Ahcène 1 Brajović, Miloš 1 Brefeld, Ulf 1 Casey, Michael J. 1 Chen, Chaofan 1 Chen, Zhi 1 Coimbra, Danilo B. 1 Comin, César Henrique 1 Constantinides, Anthony G. 1 Costa-Jussà, Marta R. 1 Costa, Gianni 1 Cresci, Stefano 1 da Costa, Victor Guilherme Turrisi 1 Daković, Miloš 1 De Bie, Tijl 1 Dees, Ben K. 1 Delvenne, Jean-Charles 1 Diamantino, Pedro 1 Dingreville, Rémi 1 Džeroski, Sašo 1 Escolano, Carlos 1 Fagni, Tiziano 1 Fairbanks, James P. 1 Fanuel, Michaël 1 Fini, Enrico 1 Fonollosa, José A. R. 1 Forestier, Germain 1 Frost, H. Robert 1 Gançarski, Pierre 1 García-García, Darío 1 Gearheart, Andrew 1 Gebbie, Tim 1 Gentner, Timothy Q. 1 Ghosh, Tomojit 1 Halter, Micah 1 Herlihy, Christine 1 Huang, Haiyang 1 Jenssen, Robert 1 Ji, Hongkai 1 Ji, Zhicheng 1 Kadioglu, Serdar 1 Kampffmeyer, Michael 1 Kang, Bo 1 Kileel, Joe 1 Kim, Jisu 1 Kleynhans, Bernard 1 Komatsuzaki, Tamiki 1 Lafabregue, Baptiste 1 Lasri, Ayoub 1 Lei, Jing 1 Li, Shengxi 1 Lijffijt, Jefrey 1 Lin, Kevin Z. 1 Lin, Yu 1 Linderman, George C. 1 Lowman, Corey 1 Luo, Hengrui 1 Mandic, Danilo P. 1 Martins, Rafael M. 1 McInnes, Leland 1 Miyashita, Saki 1 Mizuno, Yuta 1 Moscovich, Amit 1 Mota, Edson 1 Mulas, Raffaella 1 Nabi, Moin 1 Nagahata, Yutaka 1 Ortale, Riccardo 1 Paradis, Emmanuel 1 Patania, Alice 1 Peixoto, Maycon L. M. 1 Peron, Thomas K. DM. 1 Petković, Matej 1 Ricci, Elisa 1 Robnik-Šikonja, Marko 1 Rodrigues, Francisco Aparecido 1 Roeder, Kathryn 1 Rudin, Cynthia 1 Sainburg, Tim 1 Santos-Rodríguez, Raúl 1 Scalzo, Bruno 1 Schoen, Fabio 1 Sebe, Nicu 1 Semenova, Lesia 1 Silva, Filipi Nascimento 1 Singer, Amit 1 Song, Anna 1 Stanković, Ljubiša 1 Steinerberger, Stefan 1 Sturrock, Marc 1 Suykens, Johan A. K. 1 Takigawa, Mikoto 1 Teramoto, Hiroshi ...and 9 more Authors all top 5 Cited in 25 Serials 4 Machine Learning 2 Journal of the American Statistical Association 2 The Journal of Artificial Intelligence Research (JAIR) 2 Journal of Machine Learning Research (JMLR) 2 Foundations of Data Science 1 Computer Methods in Applied Mechanics and Engineering 1 Mathematical Biosciences 1 Physics Reports 1 Theoretical Computer Science 1 Physica D 1 Computers & Operations Research 1 International Journal of Approximate Reasoning 1 Neural Computation 1 Computational Statistics 1 SIAM Review 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Mathematical Imaging and Vision 1 The Journal of Fourier Analysis and Applications 1 Data Mining and Knowledge Discovery 1 Journal of Statistical Mechanics: Theory and Experiment 1 Foundations and Trends in Machine Learning 1 Statistics Surveys 1 Journal of Computational and Graphical Statistics 1 Journal of Theoretical Biology 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 20 Fields 22 Computer science (68-XX) 8 Statistics (62-XX) 4 Numerical analysis (65-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year