You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
title = {Discovering governing equations from data by sparse identification of nonlinear dynamical systems},
3
-
author = {Brunton, Steven L. and Proctor, Joshua L. and Kutz, J. Nathan},
4
-
journal = {Proceedings of the National Academy of Sciences},
5
-
volume = {113},
6
-
number = {15},
7
-
pages = {3932--3937},
8
-
year = {2016},
9
-
publisher = {National Academy of Sciences},
10
-
doi = {10.1073/pnas.1517384113}
11
-
}
12
-
13
-
@article{zheng2018ieee,
14
-
title = {A unified framework for sparse relaxed regularized regression: SR3},
15
-
author = {Zheng, Peng and Askham, Travis and Brunton, Steven L. and Kutz, J. Nathan and Aravkin, Aleksandr Y.},
16
-
journal = {IEEE Access},
17
-
volume = {7},
18
-
pages = {1404--1423},
19
-
year = {2018},
20
-
publisher = {IEEE},
21
-
doi = {10.1109/access.2018.2886528}
22
-
}
23
-
24
-
@article{champion2019,
25
-
title = {A unified sparse optimization framework to learn parsimonious physics-informed models from data},
26
-
author = {Champion, Kathleen and Zheng, Peng and Aravkin, Aleksandr Y. and Brunton, Steven L. and Kutz, J. Nathan},
27
-
journal = {arXiv preprint arXiv:1906.10612},
28
-
year = {2019}
29
-
}
30
-
31
-
@article {Schmidt81,
32
-
author = {Schmidt, Michael and Lipson, Hod},
33
-
title = {Distilling Free-Form Natural Laws from Experimental Data},
34
-
volume = {324},
35
-
number = {5923},
36
-
pages = {81--85},
37
-
year = {2009},
38
-
publisher = {American Association for the Advancement of Science},
39
-
issn = {0036-8075},
40
-
journal = {Science},
41
-
doi = {10.1126/science.1165893}
42
-
}
43
-
44
-
@article{PhysRevMaterials.2.083802,
45
-
title = {SISSO: A compressed-sensing method for identifying the best low-dimensional descriptor in an immensity of offered candidates},
46
-
author = {Ouyang, Runhai and Curtarolo, Stefano and Ahmetcik, Emre and Scheffler, Matthias and Ghiringhelli, Luca M.},
47
-
journal = {Physical Review Materials},
48
-
volume = {2},
49
-
issue = {8},
50
-
pages = {083802},
51
-
numpages = {11},
52
-
year = {2018},
53
-
publisher = {American Physical Society},
54
-
doi = {10.1103/physrevmaterials.2.083802}
55
-
}
56
-
57
-
@article{10.2307/2346178,
58
-
ISSN = {00359246},
59
-
author = {Robert Tibshirani},
60
-
journal = {Journal of the Royal Statistical Society. Series B (Methodological)},
61
-
number = {1},
62
-
pages = {267--288},
63
-
publisher = {Royal Statistical Society, Wiley},
64
-
title = {Regression Shrinkage and Selection via the Lasso},
65
-
volume = {58},
66
-
year = {1996},
67
-
doi = {10.1111/j.2517-6161.1996.tb02080.x}
68
-
}
69
-
70
-
@misc{markus_quade_sparsereg,
71
-
author = {Markus Quade},
72
-
title = {sparsereg - collection of modern sparse regression algorithms},
73
-
month = feb,
74
-
year = 2018,
75
-
doi = {10.5281/zenodo.1173754},
76
-
url = {https://github.com/ohjeah/sparsereg}
77
-
}
78
-
79
-
@article{Sorokina2016oe,
80
-
Author = {Sorokina, Mariia and Sygletos, Stylianos and Turitsyn, Sergei},
81
-
Journal = {Optics express},
82
-
Number = {26},
83
-
Pages = {30433--30443},
84
-
Publisher = {Optical Society of America},
85
-
Title = {Sparse identification for nonlinear optical communication systems: {SINO} method},
86
-
Volume = {24},
87
-
Year = {2016},
88
-
doi = {10.1364/oe.24.030433}
89
-
}
90
-
91
-
@article{Hoffmann2018,
92
-
Author = {Hoffmann, Moritz and Fr{\"o}hner, Christoph and No{\'e}, Frank},
93
-
Journal = {Journal of Chemical Physics},
94
-
Number = {025101},
95
-
Title = {Reactive {SINDy}: Discovering governing reactions from concentration data},
96
-
Volume = {150},
97
-
Year = {2019},
98
-
doi = {10.1063/1.5066099}
99
-
}
100
-
101
-
@article{Dam2017pf,
102
-
Author = {Dam, Magnus and Br{\o}ns, Morten and Juul Rasmussen, Jens and Naulin, Volker and Hesthaven, Jan S.},
103
-
Journal = {Physics of Plasmas},
104
-
Number = {2},
105
-
Pages = {022310},
106
-
Publisher = {AIP Publishing},
107
-
Title = {Sparse identification of a predator-prey system from simulation data of a convection model},
108
-
Volume = {24},
109
-
Year = {2017},
110
-
doi = {10.1063/1.4977057}
111
-
}
112
-
113
-
@article{lai2019sparse,
114
-
Author = {Lai, Zhilu and Nagarajaiah, Satish},
115
-
Journal = {Mechanical Systems and Signal Processing},
116
-
Pages = {813--842},
117
-
Publisher = {Elsevier},
118
-
Title = {Sparse structural system identification method for nonlinear dynamic systems with hysteresis/inelastic behavior},
119
-
Volume = {117},
120
-
Year = {2019},
121
-
doi = {10.1016/j.ymssp.2018.08.033}
122
-
}
123
-
124
-
@article{Rudy2017sciadv,
125
-
Author = {Rudy, Samuel H and Brunton, Steven L. and Proctor, Joshua L. and Kutz, J. Nathan},
126
-
Journal = {Science Advances},
127
-
Number = {e1602614},
128
-
Title = {Data-driven discovery of partial differential equations},
129
-
Volume = {3},
130
-
Year = {2017},
131
-
doi = {10.1126/sciadv.1602614}
132
-
}
133
-
134
-
@inproceedings{Schaeffer2017prsa,
135
-
Author = {Schaeffer, Hayden},
136
-
Booktitle = {Proceedings of the Royal Society A},
137
-
Number = {2197},
138
-
Organization = {The Royal Society},
139
-
Pages = {20160446},
140
-
Title = {Learning partial differential equations via data discovery and sparse optimization},
141
-
Volume = {473},
142
-
Year = {2017},
143
-
doi = {10.1098/rspa.2016.0446}
144
-
}
145
-
146
-
@article{tran2017exact,
147
-
title = {Exact recovery of chaotic systems from highly corrupted data},
148
-
author = {Tran, Giang and Ward, Rachel},
149
-
journal = {Multiscale Modeling \& Simulation},
150
-
volume = {15},
151
-
number = {3},
152
-
pages = {1108--1129},
153
-
year = {2017},
154
-
publisher = {SIAM},
155
-
doi = {10.1137/16m1086637}
156
-
}
157
-
158
-
@article{schaeffer2018extracting,
159
-
Author = {Schaeffer, Hayden and Tran, Giang and Ward, Rachel},
160
-
Journal = {SIAM Journal on Applied Mathematics},
161
-
Number = {6},
162
-
Pages = {3279--3295},
163
-
Publisher = {SIAM},
164
-
Title = {Extracting sparse high-dimensional dynamics from limited data},
165
-
Volume = {78},
166
-
Year = {2018},
167
-
doi = {10.1137/18m116798x}
168
-
}
169
-
170
-
@article{Loiseau2017jfm,
171
-
Author = {Loiseau, J.-C. and Brunton, Steven L.},
172
-
Journal = {Journal of Fluid Mechanics},
173
-
Pages = {42-67},
174
-
Title = {Constrained Sparse {Galerkin} Regression},
175
-
Volume = {838},
176
-
Year = {2018},
177
-
doi = {10.1017/jfm.2017.823}
178
-
}
179
-
180
-
@article{boninsegna2018sparse,
181
-
title = {Sparse learning of stochastic dynamical equations},
182
-
author = {Boninsegna, Lorenzo and N{\"u}ske, Feliks and Clementi, Cecilia},
183
-
journal = {The Journal of chemical physics},
184
-
volume = {148},
185
-
number = {24},
186
-
pages = {241723},
187
-
year = {2018},
188
-
publisher = {AIP Publishing LLC},
189
-
doi = {10.1063/1.5018409}
190
-
}
191
-
192
-
@article{brunton2016SINDYc,
193
-
title = {Sparse identification of nonlinear dynamics with control (SINDYc)},
194
-
author = {Brunton, Steven L. and Proctor, Joshua L. and Kutz, J. Nathan},
195
-
journal = {IFAC-PapersOnLine},
196
-
volume = {49},
197
-
number = {18},
198
-
pages = {710--715},
199
-
year = {2016},
200
-
publisher = {Elsevier},
201
-
doi = {10.1016/j.ifacol.2016.10.249}
202
-
}
203
-
204
-
@article{Schaeffer2017pre,
205
-
Author = {Schaeffer, Hayden and McCalla, Scott G},
206
-
Journal = {Physical Review E},
207
-
Number = {2},
208
-
Pages = {023302},
209
-
Publisher = {APS},
210
-
Title = {Sparse model selection via integral terms},
211
-
Volume = {96},
212
-
Year = {2017},
213
-
doi = {10.1103/physreve.96.023302}
214
-
}
215
-
216
-
@article{Raissi2019jcp,
217
-
Author = {Raissi, M and Perdikaris, P and Karniadakis, GE},
218
-
Journal = {Journal of Computational Physics},
219
-
Pages = {686--707},
220
-
Publisher = {Elsevier},
221
-
Title = {Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations},
222
-
Volume = {378},
223
-
Year = {2019},
224
-
doi = {10.1016/j.jcp.2018.10.045}
225
-
}
226
-
227
-
@article{Kaiser2018prsa,
228
-
Author = {Kaiser, Eurika and Kutz, J Nathan and Brunton, Steven L},
229
-
Journal = {Proceedings of the Royal Society of London A},
230
-
Number = {2219},
231
-
Title = {Sparse identification of nonlinear dynamics for model predictive control in the low-data limit},
232
-
Volume = {474},
233
-
Year = {2018},
234
-
doi = {10.1098/rspa.2018.0335}
235
-
}
236
-
237
-
@article{Thaler2019jcp,
238
-
Author = {Thaler, Stephan and Paehler, Ludger and Adams, Nikolaus A},
239
-
Journal = {Journal of Computational Physics},
240
-
Pages = {108851},
241
-
Publisher = {Elsevier},
242
-
Title = {Sparse identification of truncation errors},
243
-
Volume = {397},
244
-
Year = {2019},
245
-
doi = {10.1016/j.jcp.2019.07.049}
246
-
}
247
-
248
-
@article{Loiseau2019data,
249
-
Author = {Loiseau, Jean-Christophe},
250
-
Journal = {arXiv preprint arXiv:1911.07920},
251
-
Title = {Data-driven modeling of the chaotic thermal convection in an annular thermosyphon},
252
-
Year = {2019}
253
-
}
254
-
255
-
@article{Reinbold2020pre,
256
-
Author = {Reinbold, Patrick AK and Gurevich, Daniel R and Grigoriev, Roman O},
257
-
Journal = {Physical Review E},
258
-
Number = {1},
259
-
Pages = {010203},
260
-
Publisher = {APS},
261
-
Title = {Using noisy or incomplete data to discover models of spatiotemporal dynamics},
262
-
Volume = {101},
263
-
Year = {2020},
264
-
doi = {10.1103/physreve.101.010203}
265
-
}
1
+
PySensors-specific citations
266
2
267
-
@article{Gelss2019mindy,
268
-
Author = {Gel{\ss}, Patrick and Klus, Stefan and Eisert, Jens and Sch{\"u}tte, Christof},
269
-
Journal = {Journal of Computational and Nonlinear Dynamics},
270
-
Number = {6},
271
-
Publisher = {American Society of Mechanical Engineers Digital Collection},
272
-
Title = {Multidimensional approximation of nonlinear dynamical systems},
273
-
Volume = {14},
274
-
Year = {2019},
275
-
doi = {10.1115/1.4043148}
3
+
@article{clark2018greedy,
4
+
title={Greedy sensor placement with cost constraints},
5
+
author={Clark, Emily and Askham, Travis and Brunton, Steven L and Kutz, J Nathan},
6
+
journal={IEEE Sensors Journal},
7
+
volume={19},
8
+
number={7},
9
+
pages={2642--2656},
10
+
year={2018},
11
+
publisher={IEEE}
276
12
}
277
13
278
-
PySensors-specific citations
279
-
@article{manohar2018sparse,
14
+
@article{manohar2018data,
280
15
title={Data-driven sparse sensor placement for reconstruction: Demonstrating the benefits of exploiting known patterns},
281
16
author={Manohar, Krithika and Brunton, Bingni W and Kutz, J Nathan and Brunton, Steven L},
282
17
journal={IEEE Control Systems Magazine},
@@ -287,18 +22,7 @@ @article{manohar2018sparse
287
22
publisher={IEEE}
288
23
}
289
24
290
-
@article{clark2018cost,
291
-
title={Greedy sensor placement with cost constraints},
292
-
author={Clark, Emily and Askham, Travis and Brunton, Steven L and Kutz, J Nathan},
293
-
journal={IEEE Sensors Journal},
294
-
volume={19},
295
-
number={7},
296
-
pages={2642--2656},
297
-
year={2018},
298
-
publisher={IEEE}
299
-
}
300
-
301
-
@article{brunton2016sspoc,
25
+
@article{brunton2016sparse,
302
26
title={Sparse sensor placement optimization for classification},
303
27
author={Brunton, Bingni W and Brunton, Steven L and Proctor, Joshua L and Kutz, J Nathan},
304
28
journal={SIAM Journal on Applied Mathematics},
@@ -309,3 +33,55 @@ @article{brunton2016sspoc
309
33
publisher={SIAM}
310
34
}
311
35
36
+
@article{summers2015submodularity,
37
+
title={On submodularity and controllability in complex dynamical networks},
38
+
author={Summers, Tyler H and Cortesi, Fabrizio L and Lygeros, John},
39
+
journal={IEEE Transactions on Control of Network Systems},
40
+
volume={3},
41
+
number={1},
42
+
pages={91--101},
43
+
year={2015},
44
+
publisher={IEEE}
45
+
}
46
+
47
+
@article{chen2011h,
48
+
title={H 2 optimal actuator and sensor placement in the linearised complex Ginzburg-Landau system},
49
+
author={Chen, Kevin K and Rowley, Clarence W},
50
+
journal={Journal of Fluid Mechanics},
51
+
volume={681},
52
+
number={241-260},
53
+
year={2011},
54
+
publisher={Cambridge University Press, The Edinburgh Building, Cambridge CB 2 2 RU~…}
55
+
}
56
+
57
+
@article{krause2008near,
58
+
title={Near-optimal sensor placements in Gaussian processes: Theory, efficient algorithms and empirical studies},
59
+
author={Krause, Andreas and Singh, Ajit and Guestrin, Carlos},
60
+
journal={Journal of Machine Learning Research},
61
+
volume={9},
62
+
number={Feb},
63
+
pages={235--284},
64
+
year={2008}
65
+
}
66
+
67
+
@article{joshi2008sensor,
68
+
title={Sensor selection via convex optimization},
69
+
author={Joshi, Siddharth and Boyd, Stephen},
70
+
journal={IEEE Transactions on Signal Processing},
71
+
volume={57},
72
+
number={2},
73
+
pages={451--462},
74
+
year={2008},
75
+
publisher={IEEE}
76
+
}
77
+
78
+
@article{willcox2006unsteady,
79
+
title={Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition},
0 commit comments