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Author ID: niyogi.partha Recent zbMATH articles by "Niyogi, Partha"
Published as: Niyogi, Partha; Niyogi, P.
Documents Indexed: 36 Publications since 1963, including 1 Book
Co-Authors: 16 Co-Authors with 20 Joint Publications
422 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 1,309 times in 1,040 Documents Cited by Year
Laplacian eigenmaps for dimensionality reduction and data representation. Zbl 1085.68119
Belkin, Mikhail; Niyogi, Partha
500
2003
Manifold regularization: a geometric framework for learning from labeled and unlabeled examples. Zbl 1222.68144
Belkin, Mikhail; Niyogi, Partha; Sindhwani, Vikas
219
2006
Finding the homology of submanifolds with high confidence from random samples. Zbl 1148.68048
Niyogi, Partha; Smale, Stephen; Weinberger, Shmuel
136
2008
Semi-supervised learning on Riemannian manifolds. Zbl 1089.68086
Belkin, Mikhail; Niyogi, Partha
73
2004
Towards a theoretical foundation for Laplacian-based manifold methods. Zbl 1157.68056
Belkin, Mikhail; Niyogi, Partha
63
2008
Regularization and semi-supervised learning on large graphs. Zbl 1078.68685
Belkin, Mikhail; Matveeva, Irina; Niyogi, Partha
44
2004
Towards a theoretical foundation for Laplacian-based manifold methods. Zbl 1137.68521
Belkin, Mikhail; Niyogi, Partha
41
2005
A topological view of unsupervised learning from noisy data. Zbl 1230.62085
Niyogi, P.; Smale, S.; Weinberger, S.
39
2011
Evolution of universal grammar. Zbl 1226.91060
Nowak, Martin A.; Komarova, Natalia L.; Niyogi, Partha
35
2001
Generalization bounds for ranking algorithms via algorithmic stability. Zbl 1235.68123
Agarwal, Shivani; Niyogi, Partha
35
2009
Mercer’s theorem, feature maps, and smoothing. Zbl 1143.68554
Minh, Ha Quang; Niyogi, Partha; Yao, Yuan
26
2006
Learning theory: stability is sufficient for generalization and necessary and sufficient for consistency of empirical risk minimization. Zbl 1099.68693
Mukherjee, Sayan; Niyogi, Partha; Poggio, Tomaso; Rifkin, Ryan
16
2006
Generalization bounds for function approximation from scattered noisy data. Zbl 1053.65506
Niyogi, Partha; Girosi, Federico
15
1999
Stability and generalization of bipartite ranking algorithms. Zbl 1137.68513
Agarwal, Shivani; Niyogi, Partha
12
2005
Optimizing the mutual intelligibility of linguistic agents in a shared world. Zbl 1085.68720
Komarova, Natalia; Niyogi, Partha
11
2004
Manifold regularization and semi-supervised learning: some theoretical analyses. Zbl 1317.68178
Niyogi, Partha
9
2013
The informational complexity of learning. Perspectives on neural networks and generative grammar. Zbl 0976.68125
Niyogi, Partha
8
1998
Lossless join property in fuzzy relational databases. Zbl 0805.68033
Bhuniya, B.; Niyogi, P.
6
1993
Finding the homology of submanifolds with high confidence from random samples. Reprinted from the journal Discrete & Computational Geometry 39, No. 1-3 (2008). Zbl 1177.62003
Niyogi, Partha; Smale, Stephen; Weinberger, Shmuel
5
2009
Heat flow and a faster algorithm to compute the surface area of a convex body. Zbl 1277.68295
Belkin, Mikhail; Narayanan, Hariharan; Niyogi, Partha
4
2013
Sampling hypersurfaces through diffusion. Zbl 1159.68647
Narayanan, Hariharan; Niyogi, Partha
3
2008
Iterative computation of transonic shock-free profile flow at zero incidence. Zbl 0392.76048
Niyogi, P.; Chakraborty, S. K.
2
1979
Numerical study of magnetohydrodynamic laminar flow separation in a channel with smooth expansion. Zbl 1394.76150
Maikap, T. K.; Mahapatra, T. R.; Niyogi, P.; Ghosh, A. K.
2
2009
Existence and uniqueness of shock-free transonic flow past symmetrical thin wings at zero incidence. Zbl 0516.76048
Niyogi, P.
1
1982
Approximate transonic profile flow at incidence with shock. Zbl 0381.76048
Niyogi, P.; Sen, R.
1
1978
Direct computation of transonic solution for Nieuwland aerofoils. Zbl 0436.76036
Niyogi, P.; Das, T. K.
1
1979
A study of non-oscillatory schemes based on LED principle for inviscid flow computation past airfoils. Zbl 0969.76053
Ghosh, S.; Niyogi, P.
1
2000
Numerical investigation of laminar separated flow through a channel with symmetric double expansion. Zbl 1078.76023
Maikap, T. K.; Mahapatra, T. R.; Niyogi, P.; Ghosh, A. K.
1
2005
Manifold regularization and semi-supervised learning: some theoretical analyses. Zbl 1317.68178
Niyogi, Partha
9
2013
Heat flow and a faster algorithm to compute the surface area of a convex body. Zbl 1277.68295
Belkin, Mikhail; Narayanan, Hariharan; Niyogi, Partha
4
2013
A topological view of unsupervised learning from noisy data. Zbl 1230.62085
Niyogi, P.; Smale, S.; Weinberger, S.
39
2011
Generalization bounds for ranking algorithms via algorithmic stability. Zbl 1235.68123
Agarwal, Shivani; Niyogi, Partha
35
2009
Finding the homology of submanifolds with high confidence from random samples. Reprinted from the journal Discrete & Computational Geometry 39, No. 1-3 (2008). Zbl 1177.62003
Niyogi, Partha; Smale, Stephen; Weinberger, Shmuel
5
2009
Numerical study of magnetohydrodynamic laminar flow separation in a channel with smooth expansion. Zbl 1394.76150
Maikap, T. K.; Mahapatra, T. R.; Niyogi, P.; Ghosh, A. K.
2
2009
Finding the homology of submanifolds with high confidence from random samples. Zbl 1148.68048
Niyogi, Partha; Smale, Stephen; Weinberger, Shmuel
136
2008
Towards a theoretical foundation for Laplacian-based manifold methods. Zbl 1157.68056
Belkin, Mikhail; Niyogi, Partha
63
2008
Sampling hypersurfaces through diffusion. Zbl 1159.68647
Narayanan, Hariharan; Niyogi, Partha
3
2008
Manifold regularization: a geometric framework for learning from labeled and unlabeled examples. Zbl 1222.68144
Belkin, Mikhail; Niyogi, Partha; Sindhwani, Vikas
219
2006
Mercer’s theorem, feature maps, and smoothing. Zbl 1143.68554
Minh, Ha Quang; Niyogi, Partha; Yao, Yuan
26
2006
Learning theory: stability is sufficient for generalization and necessary and sufficient for consistency of empirical risk minimization. Zbl 1099.68693
Mukherjee, Sayan; Niyogi, Partha; Poggio, Tomaso; Rifkin, Ryan
16
2006
Towards a theoretical foundation for Laplacian-based manifold methods. Zbl 1137.68521
Belkin, Mikhail; Niyogi, Partha
41
2005
Stability and generalization of bipartite ranking algorithms. Zbl 1137.68513
Agarwal, Shivani; Niyogi, Partha
12
2005
Numerical investigation of laminar separated flow through a channel with symmetric double expansion. Zbl 1078.76023
Maikap, T. K.; Mahapatra, T. R.; Niyogi, P.; Ghosh, A. K.
1
2005
Semi-supervised learning on Riemannian manifolds. Zbl 1089.68086
Belkin, Mikhail; Niyogi, Partha
73
2004
Regularization and semi-supervised learning on large graphs. Zbl 1078.68685
Belkin, Mikhail; Matveeva, Irina; Niyogi, Partha
44
2004
Optimizing the mutual intelligibility of linguistic agents in a shared world. Zbl 1085.68720
Komarova, Natalia; Niyogi, Partha
11
2004
Laplacian eigenmaps for dimensionality reduction and data representation. Zbl 1085.68119
Belkin, Mikhail; Niyogi, Partha
500
2003
Evolution of universal grammar. Zbl 1226.91060
Nowak, Martin A.; Komarova, Natalia L.; Niyogi, Partha
35
2001
A study of non-oscillatory schemes based on LED principle for inviscid flow computation past airfoils. Zbl 0969.76053
Ghosh, S.; Niyogi, P.
1
2000
Generalization bounds for function approximation from scattered noisy data. Zbl 1053.65506
Niyogi, Partha; Girosi, Federico
15
1999
The informational complexity of learning. Perspectives on neural networks and generative grammar. Zbl 0976.68125
Niyogi, Partha
8
1998
Lossless join property in fuzzy relational databases. Zbl 0805.68033
Bhuniya, B.; Niyogi, P.
6
1993
Existence and uniqueness of shock-free transonic flow past symmetrical thin wings at zero incidence. Zbl 0516.76048
Niyogi, P.
1
1982
Iterative computation of transonic shock-free profile flow at zero incidence. Zbl 0392.76048
Niyogi, P.; Chakraborty, S. K.
2
1979
Direct computation of transonic solution for Nieuwland aerofoils. Zbl 0436.76036
Niyogi, P.; Das, T. K.
1
1979
Approximate transonic profile flow at incidence with shock. Zbl 0381.76048
Niyogi, P.; Sen, R.
1
1978
all top 5

Cited by 1,972 Authors

16 Zhou, Dingxuan
15 Coifman, Ronald Raphaël
12 Mukherjee, Sayan
12 Singer, Amit
12 Wu, Hau-Tieng
11 Chazal, Frédéric
11 Giannakis, Dimitrios
10 Mhaskar, Hrushikesh N.
10 Trillos, Nicolás García
9 Chen, Hong
9 Chen, Songcan
9 Li, Luoqing
9 Zhang, Zhao
9 Zhao, Mingbo
8 Averbuch, Amir Z.
8 Chow, Tommy W. S.
8 Hancock, Edwin Robert
8 Kevrekidis, Ioannis George
8 Slepčev, Dejan
8 Wasserman, Larry Alan
7 Boissonnat, Jean-Daniel
7 Lieutier, André
7 Nie, Feiping
7 Priebe, Carey E.
7 Steinerberger, Stefan
7 Wolf, Guy
6 Bermanis, Amit
6 Bobrowski, Omer
6 Cohen-Steiner, David
6 Komarova, Natalia L.
6 Salhov, Moshe
6 Smale, Steve
6 Stuart, Andrew M.
6 Talmon, Ronen
5 Berry, Tyrus
5 Cloninger, Alexander
5 Cucker, Felipe
5 Gao, Tingran
5 Goldberg, Maxim J.
5 Guibas, Leonidas John
5 Hosseini, Bamdad
5 Jiao, Licheng
5 Oudot, Steve Yann
5 Sheng, Baohuai
5 Shi, Zuoqiang
5 Shkolnisky, Yoel
5 Suykens, Johan A. K.
5 Wang, Jianzhong
5 Wang, Shitong
5 Weinberger, Shmuel
5 Zhang, Changshui
4 Arias-Castro, Ery
4 Bronstein, Alexander M.
4 Bronstein, Michael M.
4 Chen, Dirong
4 Chung, Fu-Lai
4 Daubechies, Ingrid Chantal
4 Dornaika, Fadi
4 El Karoui, Noureddine
4 Gori, Marco
4 Harlim, John
4 Kim, Seonja
4 Kimmel, Ron
4 Lee, Ann B.
4 Lin, Zhouchen
4 Maggioni, Mauro
4 Mischaikow, Konstantin
4 Narayanan, Hariharan
4 Niyogi, Partha
4 Owada, Takashi
4 Pereverzev, Sergei V.
4 Qiao, Lishan
4 Rosasco, Lorenzo A.
4 Saad, Yousef
4 Tao, Dacheng
4 Virk, Žiga
4 Wei, Guowei
4 Wu, Qiang
4 Xiang, Dao-Hong
4 Xu, Dong
4 Ying, Yiming
4 Yu, Bin
4 Zhang, Zhenyue
3 Ache, Antonio G.
3 Adler, Robert Joseph
3 Attali, Dominique
3 Bendich, Paul
3 Bertozzi, Andrea Louise
3 Cao, Ying
3 Cholaquidis, Alejandro
3 Chui, Charles Kam-tai
3 Czaja, Wojciech
3 Das, Suddhasattwa
3 De Vito, Ernesto
3 Di Rocco, Sandra
3 Dzemyda, Gintautas
3 Eklund, David
3 Fan, Mingyu
3 Fanuel, Michaël
3 Fefferman, Charles Louis
...and 1,872 more Authors
all top 5

Cited in 244 Serials

94 Pattern Recognition
67 Applied and Computational Harmonic Analysis
45 Neural Networks
38 Information Sciences
34 Machine Learning
28 Neural Computation
27 Discrete & Computational Geometry
23 The Annals of Statistics
21 Foundations of Computational Mathematics
17 Journal of Machine Learning Research (JMLR)
17 SIAM Journal on Mathematics of Data Science
16 Electronic Journal of Statistics
15 International Journal of Computer Vision
14 Mathematical Problems in Engineering
14 International Journal of Wavelets, Multiresolution and Information Processing
13 Journal of Mathematical Imaging and Vision
11 Data Mining and Knowledge Discovery
10 Journal of Theoretical Biology
9 Analysis and Applications (Singapore)
9 Advances in Data Analysis and Classification. ADAC
8 Journal of Computational and Applied Mathematics
8 Journal of Complexity
8 Computational Geometry
8 Computational Statistics and Data Analysis
8 SIAM Journal on Scientific Computing
8 The Annals of Applied Statistics
8 Journal of Applied and Computational Topology
7 Journal of Approximation Theory
7 Constructive Approximation
7 Linear Algebra and its Applications
7 The Journal of Fourier Analysis and Applications
7 SIAM/ASA Journal on Uncertainty Quantification
6 Computer Methods in Applied Mechanics and Engineering
6 Journal of Computational Physics
6 Proceedings of the National Academy of Sciences of the United States of America
6 Abstract and Applied Analysis
6 SIAM Journal on Imaging Sciences
5 Journal of Mathematical Analysis and Applications
5 Bulletin of Mathematical Biology
5 Applied Mathematics and Computation
5 Journal of the American Statistical Association
5 Journal of Multivariate Analysis
5 Probability Theory and Related Fields
5 The Annals of Applied Probability
5 Advances in Computational Mathematics
5 Bernoulli
5 Chaos
4 Computer Aided Geometric Design
4 Statistical Science
4 Signal Processing
4 SIAM Journal on Applied Mathematics
4 Multiscale Modeling & Simulation
4 Statistical Analysis and Data Mining
3 Artificial Intelligence
3 Computers & Mathematics with Applications
3 Journal of Statistical Physics
3 Advances in Mathematics
3 Automatica
3 Advances in Applied Mathematics
3 Journal of Classification
3 SIAM Journal on Mathematical Analysis
3 Stochastic Processes and their Applications
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Nonlinear Science
3 Test
3 Complexity
3 Soft Computing
3 PAA. Pattern Analysis and Applications
3 International Journal of Applied Mathematics and Computer Science
3 SIAM Journal on Applied Dynamical Systems
3 Mathematics in Computer Science
3 Communications in Computational Physics
3 EURASIP Journal on Advances in Signal Processing
3 Science China. Mathematics
3 GEM - International Journal on Geomathematics
3 Statistics and Computing
3 SIAM Journal on Applied Algebra and Geometry
3 Foundations of Data Science
2 Advances in Applied Probability
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Inverse Problems
2 Journal of Mathematical Biology
2 Mathematics of Computation
2 Chaos, Solitons and Fractals
2 Fuzzy Sets and Systems
2 Geometriae Dedicata
2 International Journal for Numerical Methods in Engineering
2 Journal of Computer and System Sciences
2 Journal of Mathematical Psychology
2 Journal of Statistical Planning and Inference
2 Theoretical Population Biology
2 Topology and its Applications
2 Chinese Annals of Mathematics. Series B
2 Physica D
2 Journal of Computer Science and Technology
2 International Journal of Approximate Reasoning
2 Journal of Scientific Computing
2 Computational Mathematics and Modeling
2 Annals of Operations Research
...and 144 more Serials
all top 5

Cited in 51 Fields

570 Computer science (68-XX)
391 Statistics (62-XX)
156 Numerical analysis (65-XX)
100 Probability theory and stochastic processes (60-XX)
88 Information and communication theory, circuits (94-XX)
84 Combinatorics (05-XX)
68 Algebraic topology (55-XX)
62 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
50 Global analysis, analysis on manifolds (58-XX)
50 Biology and other natural sciences (92-XX)
47 Differential geometry (53-XX)
44 Operations research, mathematical programming (90-XX)
38 Partial differential equations (35-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
31 Dynamical systems and ergodic theory (37-XX)
31 Approximations and expansions (41-XX)
30 Operator theory (47-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
29 Manifolds and cell complexes (57-XX)
26 Functional analysis (46-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
16 Systems theory; control (93-XX)
10 Algebraic geometry (14-XX)
10 Convex and discrete geometry (52-XX)
9 Measure and integration (28-XX)
8 Integral equations (45-XX)
8 Fluid mechanics (76-XX)
7 Mechanics of deformable solids (74-XX)
6 Real functions (26-XX)
6 General topology (54-XX)
6 Statistical mechanics, structure of matter (82-XX)
4 Ordinary differential equations (34-XX)
4 Geophysics (86-XX)
3 Commutative algebra (13-XX)
3 Topological groups, Lie groups (22-XX)
3 Potential theory (31-XX)
3 Quantum theory (81-XX)
2 Category theory; homological algebra (18-XX)
2 Functions of a complex variable (30-XX)
2 Geometry (51-XX)
2 Mechanics of particles and systems (70-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year