# | Title | Journal | Year | Citations |
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|
1 | Discovering governing equations from data by sparse identification of nonlinear dynamical systems | Proceedings of the National Academy of Sciences of the United States of America | 2016 | 2,546 |
2 | Convergence of a Block Coordinate Descent Method for Nondifferentiable Minimization | Journal of Optimization Theory and Applications | 2001 | 1,442 |
3 | Single-cell mRNA quantification and differential analysis with Census | Nature Methods | 2017 | 1,310 |
4 | Scenarios and Policy Aggregation in Optimization Under Uncertainty | Mathematics of Operations Research | 1991 | 999 |
5 | Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming | Mathematics of Operations Research | 1976 | 904 |
6 | Data-driven discovery of partial differential equations | Science Advances | 2017 | 897 |
7 | The uncertainty principle: A mathematical survey | Journal of Fourier Analysis and Applications | 1997 | 742 |
8 | Stress and stability: applying the Anna Karenina principle to animal microbiomes | Nature Microbiology | 2017 | 709 |
9 | Subelliptic estimates and function spaces on nilpotent Lie groups | Arkiv for Matematik | 1975 | 682 |
10 | Deep learning for universal linear embeddings of nonlinear dynamics | Nature Communications | 2018 | 679 |
11 | Deep learning in fluid dynamics | Journal of Fluid Mechanics | 2017 | 558 |
12 | Hierarchical organization of cortical and thalamic connectivity | Nature | 2019 | 505 |
13 | The State of Elliptic Curve Cryptography | Designs, Codes, and Cryptography | 2000 | 499 |
14 | A coordinate gradient descent method for nonsmooth separable minimization | Mathematical Programming | 2009 | 483 |
15 | Available potential energy and mixing in density-stratified fluids | Journal of Fluid Mechanics | 1995 | 467 |
16 | Distinct relationships of parietal and prefrontal cortices to evidence accumulation | Nature | 2015 | 467 |
17 | The multiplier method of Hestenes and Powell applied to convex programming | Journal of Optimization Theory and Applications | 1973 | 457 |
18 | Data-driven discovery of coordinates and governing equations | Proceedings of the National Academy of Sciences of the United States of America | 2019 | 453 |
19 | Generalized deviations in risk analysis | Finance and Stochastics | 2006 | 441 |
20 | Estimated Global Proportions of Individuals With Persistent Fatigue, Cognitive, and Respiratory Symptom Clusters Following Symptomatic COVID-19 in 2020 and 2021 | JAMA - Journal of the American Medical Association | 2022 | 432 |
21 | Varying planetary heat sink led to global-warming slowdown and acceleration | Science | 2014 | 413 |
22 | A quantitative model for differential motility of gliomas in grey and white matter | Cell Proliferation | 2000 | 388 |
23 | The Geography of Happiness: Connecting Twitter Sentiment and Expression, Demographics, and Objective Characteristics of Place | PLoS ONE | 2013 | 366 |
24 | Hyperelliptic cryptosystems | Journal of Cryptology | 1989 | 351 |
25 | Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control | PLoS ONE | 2016 | 351 |
26 | Chaos as an intermittently forced linear system | Nature Communications | 2017 | 351 |
27 | Survey of spiking in the mouse visual system reveals functional hierarchy | Nature | 2021 | 349 |
28 | Implementing Syndromic Surveillance: A Practical Guide Informed by the Early Experience | Journal of the American Medical Informatics Association: JAMIA | 2003 | 333 |
29 | Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition | Journal of Neuroscience Methods | 2016 | 333 |
30 | Models of epidermal wound healing | Proceedings of the Royal Society B: Biological Sciences | 1990 | 328 |
31 | Basic properties of SLE | Annals of Mathematics | 2005 | 319 |
32 | Anisotropic conductivities that cannot be detected by EIT | Physiological Measurement | 2003 | 306 |
33 | Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns | IEEE Control Systems | 2018 | 301 |
34 | Optimal Degrees of Synaptic Connectivity | Neuron | 2017 | 294 |
35 | Scattering matrix in conformal geometry | Inventiones Mathematicae | 2003 | 288 |
36 | Coral-associated bacteria demonstrate phylosymbiosis and cophylogeny | Nature Communications | 2018 | 286 |
37 | Bose-Einstein Condensates in Standing Waves: The Cubic Nonlinear Schrödinger Equation with a Periodic Potential | Physical Review Letters | 2001 | 285 |
38 | High Order Strong Stability Preserving Time Discretizations | Journal of Scientific Computing | 2009 | 277 |
39 | Extremely High Multiplicities in High-Energy Nucleus-Nucleus Collisions | Physical Review Letters | 1983 | 273 |
40 | The Evolution of Mathematical Modeling of Glioma Proliferation and Invasion | Journal of Neuropathology and Experimental Neurology | 2007 | 272 |
41 | Efficient computation of optimal actions | Proceedings of the National Academy of Sciences of the United States of America | 2009 | 269 |
42 | Sparse identification of nonlinear dynamics for model predictive control in the low-data limit | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | 2018 | 269 |
43 | The Calderón problem with partial data | Annals of Mathematics | 2007 | 268 |
44 | Becoming an Engineer: Toward a Three Dimensional View of Engineering Learning | Journal of Engineering Education | 2008 | 262 |
45 | Human language reveals a universal positivity bias | Proceedings of the National Academy of Sciences of the United States of America | 2015 | 259 |
46 | Estimating global and regional disruptions to routine childhood vaccine coverage during the COVID-19 pandemic in 2020: a modelling study | Lancet, The | 2021 | 259 |
47 | Error bounds and convergence analysis of feasible descent methods: a general approach | Annals of Operations Research | 1993 | 250 |
48 | A large-scale standardized physiological survey reveals functional organization of the mouse visual cortex | Nature Neuroscience | 2020 | 249 |
49 | The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep | Nature Neuroscience | 2019 | 246 |
50 | A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growth | Cell Proliferation | 1995 | 241 |