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Tropp, Joel A.

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Author ID: tropp.joel-a Recent zbMATH articles by "Tropp, Joel A."
Published as: Tropp, Joel A.; Tropp, J. A.
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Documents Indexed: 56 Publications since 2004

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 2,237 times in 1,602 Documents Cited by Year
Finding structure with randomness: probabilistic algorithms for constructing approximate matrix decompositions. Zbl 1269.65043
Halko, N.; Martinsson, P. G.; Tropp, J. A.
341
2011
Greed is good: algorithmic results for sparse approximation. Zbl 1288.94019
Tropp, Joel A.
243
2004
Signal recovery from random measurements via orthogonal matching pursuit. Zbl 1288.94022
Tropp, Joel A.; Gilbert, Anna C.
230
2007
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples. Zbl 1163.94003
Needell, D.; Tropp, J. A.
213
2009
User-friendly tail bounds for sums of random matrices. Zbl 1259.60008
Tropp, Joel A.
189
2012
Just relax: Convex programming methods for identifying sparse signals in noise. Zbl 1288.94025
Tropp, Joel A.
128
2006
An introduction to matrix concentration inequalities. Zbl 1391.15071
Tropp, Joel A.
75
2015
Living on the edge: phase transitions in convex programs with random data. Zbl 1339.90251
Amelunxen, Dennis; Lotz, Martin; McCoy, Michael B.; Tropp, Joel A.
74
2014
On the existence of equiangular tight frames. Zbl 1127.15013
Sustik, Mátyás A.; Tropp, Joel A.; Dhillon, Inderjit S.; Heath, Robert W. jun.
61
2007
Algorithms for simultaneous sparse approximation. I: Greedy pursuit. Zbl 1163.94396
Tropp, Joel A.; Gilbert, Anna C.; Strauss, Martin J.
53
2006
Paved with good intentions: analysis of a randomized block Kaczmarz method. Zbl 1282.65042
Needell, Deanna; Tropp, Joel A.
47
2014
Algorithms for simultaneous sparse approximation. II: Convex relaxation. Zbl 1163.94395
Tropp, Joel A.
47
2006
Improved analysis of the subsampled randomized Hadamard transform. Zbl 1232.15029
Tropp, Joel A.
35
2011
Model-based scaling of the streamwise energy density in high-Reynolds-number turbulent channels. Zbl 1294.76181
Moarref, Rashad; Sharma, Ati S.; Tropp, Joel A.; McKeon, Beverley J.
35
2013
Designing structured tight frames via an alternating projection method. Zbl 1288.94021
Tropp, Joel A.; Dhillon, Inderjit S.; Heath, Robert W. jun.; Strohmer, Thomas
34
2005
Beyond Nyquist: efficient sampling of sparse bandlimited signals. Zbl 1366.94222
Tropp, Joel A.; Laska, Jason N.; Duarte, Marco F.; Romberg, Justin K.; Baraniuk, Richard G.
28
2010
Restricted isometries for partial random circulant matrices. Zbl 1245.15040
Rauhut, Holger; Romberg, Justin; Tropp, Joel A.
27
2012
Matrix concentration inequalities via the method of exchangeable pairs. Zbl 1294.60008
Mackey, Lester; Jordan, Michael I.; Chen, Richard Y.; Farrell, Brendan; Tropp, Joel A.
26
2014
On the conditioning of random subdictionaries. Zbl 1143.15026
Tropp, Joel A.
24
2008
Practical sketching algorithms for low-rank matrix approximation. Zbl 1379.65026
Tropp, Joel A.; Yurtsever, Alp; Udell, Madeleine; Cevher, Volkan
21
2017
Matrix nearness problems with Bregman divergences. Zbl 1153.65044
Dhillon, Inderjit S.; Tropp, Joel A.
19
2008
One sketch for all: fast algorithms for compressed sensing. Zbl 1232.94008
Gilbert, A. C.; Strauss, M. J.; Tropp, J. A.; Vershynin, R.
18
2007
Two proposals for robust PCA using semidefinite programming. Zbl 1329.62276
McCoy, Michael; Tropp, Joel A.
17
2011
The restricted isometry property for time-frequency structured random matrices. Zbl 1284.60018
Pfander, Götz E.; Rauhut, Holger; Tropp, Joel A.
16
2013
From Steiner formulas for cones to concentration of intrinsic volumes. Zbl 1317.52010
McCoy, Michael B.; Tropp, Joel A.
16
2014
Recovery of short, complex linear combinations via \(\ell_1\) minimization. Zbl 1288.94020
Tropp, Joel A.
16
2005
Generalized finite algorithms for constructing Hermitian matrices with prescribed diagonal and spectrum. Zbl 1087.65038
Dhillon, Inderjit S.; Heath, Robert W. jun.; Sustik, Mátyás A.; Tropp, Joel A.
16
2005
Robust computation of linear models by convex relaxation. Zbl 1328.62377
Lerman, Gilad; McCoy, Michael B.; Tropp, Joel A.; Zhang, Teng
16
2015
Freedman’s inequality for matrix martingales. Zbl 1225.60017
Tropp, Joel A.
15
2011
Subadditivity of matrix \(\phi\)-entropy and concentration of random matrices. Zbl 1405.60013
Tropp, Joel A.; Chen, Richard Yuhua
14
2014
Convex recovery of a structured signal from independent random linear measurements. Zbl 1358.94034
Tropp, Joel A.
14
2015
Constructing packings in Grassmannian manifolds via alternating projection. Zbl 1155.52304
Dhillon, I. S.; Heath, R. W. jun.; Strohmer, T.; Tropp, J. A.
14
2008
The random paving property for uniformly bounded matrices. Zbl 1152.46007
Tropp, Joel A.
13
2008
From joint convexity of quantum relative entropy to a concavity theorem of Lieb. Zbl 1455.52006
Tropp, Joel A.
12
2012
On the linear independence of spikes and sines. Zbl 1184.46012
Tropp, Joel A.
11
2008
Norms of random submatrices and sparse approximation. Zbl 1170.46012
Tropp, Joel A.
11
2008
Efron-Stein inequalities for random matrices. Zbl 1378.60025
Paulin, Daniel; Mackey, Lester; Tropp, Joel A.
10
2016
Finite-step algorithms for constructing optimal CDMA signature sequences. Zbl 1288.94006
Tropp, Joel A.; Dhillon, Inderjit S.; Heath, Robert W. jun.
10
2004
The masked sample covariance estimator: an analysis using matrix concentration inequalities. Zbl 06242993
Chen, Richard Y.; Gittens, Alex; Tropp, Joel A.
8
2012
Column subset selection, matrix factorization, and eigenvalue optimization. Zbl 1425.65061
Tropp, Joel A.
8
2009
Sharp recovery bounds for convex demixing, with applications. Zbl 1312.94016
McCoy, Michael B.; Tropp, Joel A.
8
2014
Simplicial faces of the set of correlation matrices. Zbl 1400.15035
Tropp, Joel A.
5
2018
Streaming low-rank matrix approximation with an application to scientific simulation. Zbl 1420.65060
Tropp, Joel A.; Yurtsever, Alp; Udell, Madeleine; Cevher, Volkan
5
2019
The expected norm of a sum of independent random matrices: an elementary approach. Zbl 1382.60016
Tropp, Joel A.
3
2016
The metric nearness problem. Zbl 1172.05018
Brickell, Justin; Dhillon, Inderjit S.; Sra, Suvrit; Tropp, Joel A.
3
2008
Universality laws for randomized dimension reduction, with applications. Zbl 07127809
Oymak, Samet; Tropp, Joel A.
3
2018
Integer factorization of a positive-definite matrix. Zbl 1325.15012
Tropp, Joel A.
2
2015
Corrigendum in “Just relax: convex programming methods for identifying sparse signals in noise”. Zbl 1367.94119
Tropp, Joel A.
2
2009
A comparison principle for functions of a uniformly random subspace. Zbl 1252.60013
Tropp, Joel A.
1
2012
Streaming low-rank matrix approximation with an application to scientific simulation. Zbl 1420.65060
Tropp, Joel A.; Yurtsever, Alp; Udell, Madeleine; Cevher, Volkan
5
2019
Simplicial faces of the set of correlation matrices. Zbl 1400.15035
Tropp, Joel A.
5
2018
Universality laws for randomized dimension reduction, with applications. Zbl 07127809
Oymak, Samet; Tropp, Joel A.
3
2018
Practical sketching algorithms for low-rank matrix approximation. Zbl 1379.65026
Tropp, Joel A.; Yurtsever, Alp; Udell, Madeleine; Cevher, Volkan
21
2017
Efron-Stein inequalities for random matrices. Zbl 1378.60025
Paulin, Daniel; Mackey, Lester; Tropp, Joel A.
10
2016
The expected norm of a sum of independent random matrices: an elementary approach. Zbl 1382.60016
Tropp, Joel A.
3
2016
An introduction to matrix concentration inequalities. Zbl 1391.15071
Tropp, Joel A.
75
2015
Robust computation of linear models by convex relaxation. Zbl 1328.62377
Lerman, Gilad; McCoy, Michael B.; Tropp, Joel A.; Zhang, Teng
16
2015
Convex recovery of a structured signal from independent random linear measurements. Zbl 1358.94034
Tropp, Joel A.
14
2015
Integer factorization of a positive-definite matrix. Zbl 1325.15012
Tropp, Joel A.
2
2015
Living on the edge: phase transitions in convex programs with random data. Zbl 1339.90251
Amelunxen, Dennis; Lotz, Martin; McCoy, Michael B.; Tropp, Joel A.
74
2014
Paved with good intentions: analysis of a randomized block Kaczmarz method. Zbl 1282.65042
Needell, Deanna; Tropp, Joel A.
47
2014
Matrix concentration inequalities via the method of exchangeable pairs. Zbl 1294.60008
Mackey, Lester; Jordan, Michael I.; Chen, Richard Y.; Farrell, Brendan; Tropp, Joel A.
26
2014
From Steiner formulas for cones to concentration of intrinsic volumes. Zbl 1317.52010
McCoy, Michael B.; Tropp, Joel A.
16
2014
Subadditivity of matrix \(\phi\)-entropy and concentration of random matrices. Zbl 1405.60013
Tropp, Joel A.; Chen, Richard Yuhua
14
2014
Sharp recovery bounds for convex demixing, with applications. Zbl 1312.94016
McCoy, Michael B.; Tropp, Joel A.
8
2014
Model-based scaling of the streamwise energy density in high-Reynolds-number turbulent channels. Zbl 1294.76181
Moarref, Rashad; Sharma, Ati S.; Tropp, Joel A.; McKeon, Beverley J.
35
2013
The restricted isometry property for time-frequency structured random matrices. Zbl 1284.60018
Pfander, Götz E.; Rauhut, Holger; Tropp, Joel A.
16
2013
User-friendly tail bounds for sums of random matrices. Zbl 1259.60008
Tropp, Joel A.
189
2012
Restricted isometries for partial random circulant matrices. Zbl 1245.15040
Rauhut, Holger; Romberg, Justin; Tropp, Joel A.
27
2012
From joint convexity of quantum relative entropy to a concavity theorem of Lieb. Zbl 1455.52006
Tropp, Joel A.
12
2012
The masked sample covariance estimator: an analysis using matrix concentration inequalities. Zbl 06242993
Chen, Richard Y.; Gittens, Alex; Tropp, Joel A.
8
2012
A comparison principle for functions of a uniformly random subspace. Zbl 1252.60013
Tropp, Joel A.
1
2012
Finding structure with randomness: probabilistic algorithms for constructing approximate matrix decompositions. Zbl 1269.65043
Halko, N.; Martinsson, P. G.; Tropp, J. A.
341
2011
Improved analysis of the subsampled randomized Hadamard transform. Zbl 1232.15029
Tropp, Joel A.
35
2011
Two proposals for robust PCA using semidefinite programming. Zbl 1329.62276
McCoy, Michael; Tropp, Joel A.
17
2011
Freedman’s inequality for matrix martingales. Zbl 1225.60017
Tropp, Joel A.
15
2011
Beyond Nyquist: efficient sampling of sparse bandlimited signals. Zbl 1366.94222
Tropp, Joel A.; Laska, Jason N.; Duarte, Marco F.; Romberg, Justin K.; Baraniuk, Richard G.
28
2010
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples. Zbl 1163.94003
Needell, D.; Tropp, J. A.
213
2009
Column subset selection, matrix factorization, and eigenvalue optimization. Zbl 1425.65061
Tropp, Joel A.
8
2009
Corrigendum in “Just relax: convex programming methods for identifying sparse signals in noise”. Zbl 1367.94119
Tropp, Joel A.
2
2009
On the conditioning of random subdictionaries. Zbl 1143.15026
Tropp, Joel A.
24
2008
Matrix nearness problems with Bregman divergences. Zbl 1153.65044
Dhillon, Inderjit S.; Tropp, Joel A.
19
2008
Constructing packings in Grassmannian manifolds via alternating projection. Zbl 1155.52304
Dhillon, I. S.; Heath, R. W. jun.; Strohmer, T.; Tropp, J. A.
14
2008
The random paving property for uniformly bounded matrices. Zbl 1152.46007
Tropp, Joel A.
13
2008
On the linear independence of spikes and sines. Zbl 1184.46012
Tropp, Joel A.
11
2008
Norms of random submatrices and sparse approximation. Zbl 1170.46012
Tropp, Joel A.
11
2008
The metric nearness problem. Zbl 1172.05018
Brickell, Justin; Dhillon, Inderjit S.; Sra, Suvrit; Tropp, Joel A.
3
2008
Signal recovery from random measurements via orthogonal matching pursuit. Zbl 1288.94022
Tropp, Joel A.; Gilbert, Anna C.
230
2007
On the existence of equiangular tight frames. Zbl 1127.15013
Sustik, Mátyás A.; Tropp, Joel A.; Dhillon, Inderjit S.; Heath, Robert W. jun.
61
2007
One sketch for all: fast algorithms for compressed sensing. Zbl 1232.94008
Gilbert, A. C.; Strauss, M. J.; Tropp, J. A.; Vershynin, R.
18
2007
Just relax: Convex programming methods for identifying sparse signals in noise. Zbl 1288.94025
Tropp, Joel A.
128
2006
Algorithms for simultaneous sparse approximation. I: Greedy pursuit. Zbl 1163.94396
Tropp, Joel A.; Gilbert, Anna C.; Strauss, Martin J.
53
2006
Algorithms for simultaneous sparse approximation. II: Convex relaxation. Zbl 1163.94395
Tropp, Joel A.
47
2006
Designing structured tight frames via an alternating projection method. Zbl 1288.94021
Tropp, Joel A.; Dhillon, Inderjit S.; Heath, Robert W. jun.; Strohmer, Thomas
34
2005
Recovery of short, complex linear combinations via \(\ell_1\) minimization. Zbl 1288.94020
Tropp, Joel A.
16
2005
Generalized finite algorithms for constructing Hermitian matrices with prescribed diagonal and spectrum. Zbl 1087.65038
Dhillon, Inderjit S.; Heath, Robert W. jun.; Sustik, Mátyás A.; Tropp, Joel A.
16
2005
Greed is good: algorithmic results for sparse approximation. Zbl 1288.94019
Tropp, Joel A.
243
2004
Finite-step algorithms for constructing optimal CDMA signature sequences. Zbl 1288.94006
Tropp, Joel A.; Dhillon, Inderjit S.; Heath, Robert W. jun.
10
2004
all top 5

Cited by 2,761 Authors

27 Tropp, Joel A.
23 Needell, Deanna
22 Rauhut, Holger
15 Mixon, Dustin G.
14 Krahmer, Felix
12 Fickus, Matthew C.
11 Kutz, J. Nathan
10 Gribonval, Rémi
10 Saibaba, Arvind Krishna
9 Brunton, Steven L.
9 Iwen, Mark A.
9 McKeon, Beverley J.
9 Temlyakov, Vladimir Nikolaevich
8 Cai, Jian-Feng
8 Candès, Emmanuel J.
8 Cevher, Volkan
8 Darve, Eric
8 Doostan, Alireza
8 Kutyniok, Gitta
8 Li, Song
8 Martinsson, Per-Gunnar
8 Marzouk, Youssef M.
8 Peng, Jigen
8 Wainwright, Martin J.
8 Ward, Rachel A.
8 Wei, Ke
8 Ying, Lexing
7 Biros, George
7 Casazza, Peter George
7 Elad, Michael
7 Fornasier, Massimo
7 Ghattas, Omar N.
7 Giryes, Raja
7 Ho, Kenneth L.
7 Hou, Thomas Yizhao
7 Li, Yingzhou
7 Lin, Junhong
7 Lu, Jianfeng
7 Pan, Victor Yakovlevich
7 Peyré, Gabriel
7 Xia, Jianlin
7 Yang, Haizhao
6 Blanchard, Jeffrey D.
6 Calderbank, Arthur Robert
6 Chen, Wengu
6 Cheng, Lizhi
6 Chrétien, Stéphane
6 Comte, Fabienne
6 Cui, Tiangang
6 Dossal, Charles
6 Foucart, Simon
6 Guntuboyina, Adityanand
6 Jasper, John
6 Mahoney, Michael W.
6 Massey, Pedro G.
6 Richtárik, Peter
6 Saab, Rayan
6 Strohmer, Thomas
6 Wei, Yimin
6 Zhao, Yunbin
5 Adcock, Ben
5 Bandeira, Afonso S.
5 Beylkin, Gregory
5 Boyd, Stephen Poythress
5 Cai, Tony Tony
5 Ehler, Martin
5 Fadili, Jalal M.
5 Fan, Jianqing
5 Fu, Fangwei
5 Gu, Ming
5 Hampton, Jerrad
5 Kabluchko, Zakhar A.
5 Kressner, Daniel
5 Kueng, Richard
5 Li, Shengguo
5 Li, Shidong
5 Negahban, Sahand N.
5 Nikolova, Mila
5 Osher, Stanley Joel
5 Priebe, Carey E.
5 Qi, Houduo
5 Romberg, Justin K.
5 Schnass, Karin
5 Shi, Zuoqiang
5 Steidl, Gabriele
5 Tang, Minh
5 Tanner, Jared W.
5 Udell, Madeleine
5 Vershynin, Roman
5 Wakin, Michael B.
5 Wright, Stephen J.
5 Youssef, Pierre
5 Yu, Bin
5 Zhang, Teng
4 Alexanderian, Alen
4 Aravkin, Aleksandr Y.
4 Averbuch, Amir Z.
4 Bae, Hyunji Jane
4 Bahmani, Sohail
4 Baraniuk, Richard G.
...and 2,661 more Authors
all top 5

Cited in 288 Serials

111 Applied and Computational Harmonic Analysis
69 SIAM Journal on Scientific Computing
63 Linear Algebra and its Applications
58 SIAM Journal on Matrix Analysis and Applications
51 The Annals of Statistics
35 Journal of Computational Physics
35 Journal of Fluid Mechanics
35 Journal of Machine Learning Research (JMLR)
28 The Journal of Fourier Analysis and Applications
28 Mathematical Problems in Engineering
26 Journal of Computational and Applied Mathematics
25 Circuits, Systems, and Signal Processing
25 Foundations of Computational Mathematics
25 Electronic Journal of Statistics
24 Inverse Problems
23 Mathematical Programming. Series A. Series B
23 Advances in Computational Mathematics
22 SIAM Journal on Imaging Sciences
19 SIAM Journal on Optimization
18 Neural Computation
17 Journal of Mathematical Imaging and Vision
17 Bernoulli
16 Signal Processing
14 Applied Mathematics and Computation
13 Automatica
13 Numerical Algorithms
13 Multiscale Modeling & Simulation
13 Information and Inference
12 Information Sciences
12 Multidimensional Systems and Signal Processing
12 Machine Learning
12 Science China. Mathematics
11 Mathematics of Computation
11 Computational Statistics and Data Analysis
11 Science China. Information Sciences
10 Computer Methods in Applied Mechanics and Engineering
10 Journal of Statistical Planning and Inference
10 Pattern Recognition
10 Computational Optimization and Applications
10 Inverse Problems and Imaging
9 Advances in Mathematics
9 Constructive Approximation
9 Journal of Scientific Computing
8 SIAM Journal on Computing
8 Theoretical Computer Science
7 Communications on Pure and Applied Mathematics
7 Journal of the Franklin Institute
7 Journal of Mathematical Analysis and Applications
7 Linear and Multilinear Algebra
7 Journal of Approximation Theory
7 Numerische Mathematik
7 Statistical Science
7 Discrete & Computational Geometry
7 Numerical Linear Algebra with Applications
7 International Journal of Computer Vision
6 Computers & Mathematics with Applications
6 BIT
6 Journal of Optimization Theory and Applications
6 Statistics & Probability Letters
6 Applied Numerical Mathematics
6 Probability Theory and Related Fields
6 SIAM Review
6 Journal of Applied Mathematics
6 International Journal of Wavelets, Multiresolution and Information Processing
6 SIAM/ASA Journal on Uncertainty Quantification
5 Information Processing Letters
5 Letters in Mathematical Physics
5 Journal of the American Statistical Association
5 Journal of Functional Analysis
5 Mathematics of Operations Research
5 Journal of Complexity
5 Journal of Global Optimization
5 Electronic Journal of Probability
4 The Annals of Probability
4 Journal of Multivariate Analysis
4 Geometric and Functional Analysis. GAFA
4 Automation and Remote Control
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Analysis and Applications (Singapore)
4 Computational & Mathematical Methods in Medicine
4 Algorithms
4 Statistics and Computing
4 Journal of the Operations Research Society of China
3 Discrete Applied Mathematics
3 Journal of Mathematical Physics
3 Journal of Statistical Physics
3 Operations Research
3 Proceedings of the American Mathematical Society
3 Results in Mathematics
3 Acta Applicandae Mathematicae
3 Optimization
3 International Journal of Adaptive Control and Signal Processing
3 Computational Mathematics and Mathematical Physics
3 Journal of Statistical Computation and Simulation
3 SIAM Journal on Applied Mathematics
3 Stochastic Processes and their Applications
3 The Electronic Journal of Combinatorics
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Inverse Problems in Science and Engineering
3 GAMM-Mitteilungen
...and 188 more Serials
all top 5

Cited in 50 Fields

577 Numerical analysis (65-XX)
463 Information and communication theory, circuits (94-XX)
350 Statistics (62-XX)
296 Computer science (68-XX)
271 Operations research, mathematical programming (90-XX)
249 Linear and multilinear algebra; matrix theory (15-XX)
158 Probability theory and stochastic processes (60-XX)
137 Harmonic analysis on Euclidean spaces (42-XX)
59 Approximations and expansions (41-XX)
55 Combinatorics (05-XX)
54 Partial differential equations (35-XX)
54 Fluid mechanics (76-XX)
51 Operator theory (47-XX)
49 Systems theory; control (93-XX)
48 Convex and discrete geometry (52-XX)
47 Calculus of variations and optimal control; optimization (49-XX)
41 Functional analysis (46-XX)
35 Biology and other natural sciences (92-XX)
28 Quantum theory (81-XX)
15 Dynamical systems and ergodic theory (37-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Geophysics (86-XX)
12 Optics, electromagnetic theory (78-XX)
11 Number theory (11-XX)
11 Differential geometry (53-XX)
10 Integral equations (45-XX)
9 Geometry (51-XX)
9 Mechanics of deformable solids (74-XX)
8 Algebraic geometry (14-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Real functions (26-XX)
5 Ordinary differential equations (34-XX)
5 Integral transforms, operational calculus (44-XX)
4 Functions of a complex variable (30-XX)
3 Group theory and generalizations (20-XX)
3 Measure and integration (28-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Mechanics of particles and systems (70-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

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