Simple and Elegant
RR Coifman, S Lafon, AB Lee et al.: Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps. Proceedings of the National Academy of Sciences 102, 7426—7431, 2005.
[doi:10.1073/pnas.0500334102]
RR Coifman and S Lafon: Diffusion maps. Applied and Computational Harmonic Analysis 21, 5—30, 2006.
[doi:10.1016/j.acha.2006.04.006]
B Nadler, S Lafon, RR Coifman et al.: Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Applied and Computational Harmonic Analysis 21, 113—127, 2006.
[doi:10.1016/j.acha.2005.07.004]
E Barter and T Gross: Manifold cities: social variables of urban areas in the UK. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, 20180615, 2019.
[doi:10.1098/rspa.2018.0615]
AK Fahimipour and T Gross: Mapping the bacterial metabolic niche space. Nature Communications 11, 4887, 2020.
[doi:10.1038/s41467-020-18695-z]
A Ryabov, B Blasius, H Hillebrand et al.: Trait reconstruction and estimation of functional diversity from ecolocical monitoring data. Proc. Nat. Sci. USA 119, e2118156119, 2022.
[doi:10.1073/pnas.2118156119]
A Ghafourian, O Georgiou, E Barter et al.: Wireless localization with diffusion maps. Scientific Reports 10, 20655, 2020.
[doi:10.1038/s41598-020-77695-7]
\bibitem{coifman2005geometric} RR Coifman, S Lafon, AB Lee et al.: Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps. Proceedings of the National Academy of Sciences 102, 7426--7431, 2005. [doi:10.1073/pnas.0500334102]
\bibitem{coifman2006diffusion} RR Coifman and S Lafon: Diffusion maps. Applied and Computational Harmonic Analysis 21, 5--30, 2006. [doi:10.1016/j.acha.2006.04.006]
\bibitem{nadler2006diffusion} B Nadler, S Lafon, RR Coifman et al.: Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Applied and Computational Harmonic Analysis 21, 113--127, 2006. [doi:10.1016/j.acha.2005.07.004]
\bibitem{barter2019manifold} E Barter and T Gross: Manifold cities: social variables of urban areas in the UK. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, 20180615, 2019. [doi:10.1098/rspa.2018.0615]
\bibitem{fahimipour2020mapping} AK Fahimipour and T Gross: Mapping the bacterial metabolic niche space. Nature Communications 11, 4887, 2020. [doi:10.1038/s41467-020-18695-z]
\bibitem{ryabov2021trait} A Ryabov, B Blasius, H Hillebrand et al.: Trait reconstruction and estimation of functional diversity from ecolocical monitoring data. Proc. Nat. Sci. USA 119, e2118156119, 2022. [doi:10.1073/pnas.2118156119]
\bibitem{ghafourian2020wireless} A Ghafourian, O Georgiou, E Barter et al.: Wireless localization with diffusion maps. Scientific Reports 10, 20655, 2020. [doi:10.1038/s41598-020-77695-7]
American Physical Society
RR Coifman, S Lafon, AB Lee et al., Proceedings of the National Academy of Sciences
102, 7426—7431, (2005).
[doi:10.1073/pnas.0500334102]
RR Coifman and S Lafon, Applied and Computational Harmonic Analysis
21, 5—30, (2006).
[doi:10.1016/j.acha.2006.04.006]
B Nadler, S Lafon, RR Coifman et al., Applied and Computational Harmonic Analysis
21, 113—127, (2006).
[doi:10.1016/j.acha.2005.07.004]
E Barter and T Gross, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
475, 20180615, (2019).
[doi:10.1098/rspa.2018.0615]
AK Fahimipour and T Gross, Nature Communications
11, 4887, (2020).
[doi:10.1038/s41467-020-18695-z]
A Ryabov, B Blasius, H Hillebrand et al., Proc. Nat. Sci. USA
119, e2118156119, (2022).
[doi:10.1073/pnas.2118156119]
A Ghafourian, O Georgiou, E Barter et al., Scientific Reports
10, 20655, (2020).
[doi:10.1038/s41598-020-77695-7]
\bibitem{coifman2005geometric} RR Coifman, S Lafon, AB Lee et al., Proceedings of the National Academy of Sciences \textbf{102}, 7426--7431, (2005). [doi:10.1073/pnas.0500334102]
\bibitem{coifman2006diffusion} RR Coifman and S Lafon, Applied and Computational Harmonic Analysis \textbf{21}, 5--30, (2006). [doi:10.1016/j.acha.2006.04.006]
\bibitem{nadler2006diffusion} B Nadler, S Lafon, RR Coifman et al., Applied and Computational Harmonic Analysis \textbf{21}, 113--127, (2006). [doi:10.1016/j.acha.2005.07.004]
\bibitem{barter2019manifold} E Barter and T Gross, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences \textbf{475}, 20180615, (2019). [doi:10.1098/rspa.2018.0615]
\bibitem{fahimipour2020mapping} AK Fahimipour and T Gross, Nature Communications \textbf{11}, 4887, (2020). [doi:10.1038/s41467-020-18695-z]
\bibitem{ryabov2021trait} A Ryabov, B Blasius, H Hillebrand et al., Proc. Nat. Sci. USA \textbf{119}, e2118156119, (2022). [doi:10.1073/pnas.2118156119]
\bibitem{ghafourian2020wireless} A Ghafourian, O Georgiou, E Barter et al., Scientific Reports \textbf{10}, 20655, (2020). [doi:10.1038/s41598-020-77695-7]
Harvard
Coifman, R. R., Lafon, S., Lee, A. B., Maggioni, M., Nadler, B. et al. (2005) ‘Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps’.
Proceedings of the National Academy of Sciences, 102(21), 7426—7431.
[doi:10.1073/pnas.0500334102]
Coifman, R. R., and Lafon, S. (2006) ‘Diffusion maps’.
Applied and Computational Harmonic Analysis, 21(1), 5—30.
[doi:10.1016/j.acha.2006.04.006]
Nadler, B., Lafon, S., Coifman, R. R., and Kevrekidis, I. G. (2006) ‘Diffusion maps, spectral clustering and reaction coordinates of dynamical systems’.
Applied and Computational Harmonic Analysis, 21(1), 113—127.
[doi:10.1016/j.acha.2005.07.004]
Barter, E., and Gross, T. (2019) ‘Manifold cities: social variables of urban areas in the UK’.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2221), 20180615.
[doi:10.1098/rspa.2018.0615]
Fahimipour, A. K., and Gross, T. (2020) ‘Mapping the bacterial metabolic niche space’.
Nature Communications, 11(1), 4887.
[doi:10.1038/s41467-020-18695-z]
Ryabov, A., Blasius, B., Hillebrand, H., Olenina, I., and Gross, T. (2022) ‘Trait reconstruction and estimation of functional diversity from ecolocical monitoring data’.
Proc. Nat. Sci. USA, 119(43), e2118156119.
[doi:10.1073/pnas.2118156119]
Ghafourian, A., Georgiou, O., Barter, E., and Gross, T. (2020) ‘Wireless localization with diffusion maps’.
Scientific Reports, 10(1), 20655.
[doi:10.1038/s41598-020-77695-7]
\bibitem{coifman2005geometric} Coifman, R. R., Lafon, S., Lee, A. B., Maggioni, M., Nadler, B. et al. (2005) ‘Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps'. \textit{Proceedings of the National Academy of Sciences}, 102(21), 7426--7431. [doi:10.1073/pnas.0500334102]
\bibitem{coifman2006diffusion} Coifman, R. R., and Lafon, S. (2006) ‘Diffusion maps'. \textit{Applied and Computational Harmonic Analysis}, 21(1), 5--30. [doi:10.1016/j.acha.2006.04.006]
\bibitem{nadler2006diffusion} Nadler, B., Lafon, S., Coifman, R. R., and Kevrekidis, I. G. (2006) ‘Diffusion maps, spectral clustering and reaction coordinates of dynamical systems'. \textit{Applied and Computational Harmonic Analysis}, 21(1), 113--127. [doi:10.1016/j.acha.2005.07.004]
\bibitem{barter2019manifold} Barter, E., and Gross, T. (2019) ‘Manifold cities: social variables of urban areas in the UK'. \textit{Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, 475(2221), 20180615. [doi:10.1098/rspa.2018.0615]
\bibitem{fahimipour2020mapping} Fahimipour, A. K., and Gross, T. (2020) ‘Mapping the bacterial metabolic niche space'. \textit{Nature Communications}, 11(1), 4887. [doi:10.1038/s41467-020-18695-z]
\bibitem{ryabov2021trait} Ryabov, A., Blasius, B., Hillebrand, H., Olenina, I., and Gross, T. (2022) ‘Trait reconstruction and estimation of functional diversity from ecolocical monitoring data'. \textit{Proc. Nat. Sci. USA}, 119(43), e2118156119. [doi:10.1073/pnas.2118156119]
\bibitem{ghafourian2020wireless} Ghafourian, A., Georgiou, O., Barter, E., and Gross, T. (2020) ‘Wireless localization with diffusion maps'. \textit{Scientific Reports}, 10(1), 20655. [doi:10.1038/s41598-020-77695-7]
Chicago
Coifman, R. R., Lafon, S., Lee, A. B., Maggioni, M., Nadler, B. et al. “Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps.”
Proceedings of the National Academy of Sciences 102, no. 21 (2005) 7426—7431.
[doi:10.1073/pnas.0500334102]
Coifman, Ronald R., and Lafon, Stéphane. “Diffusion maps.”
Applied and Computational Harmonic Analysis 21, no. 1 (2006) 5—30.
[doi:10.1016/j.acha.2006.04.006]
Nadler, Boaz, Lafon, Stéphane, Coifman, Ronald R., and Kevrekidis, Ioannis G.. “Diffusion maps, spectral clustering and reaction coordinates of dynamical systems.”
Applied and Computational Harmonic Analysis 21, no. 1 (2006) 113—127.
[doi:10.1016/j.acha.2005.07.004]
Barter, Edmund, and Gross, Thilo. “Manifold cities: social variables of urban areas in the UK.”
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2221 (2019) 20180615.
[doi:10.1098/rspa.2018.0615]
Fahimipour, Ashkaan K., and Gross, Thilo. “Mapping the bacterial metabolic niche space.”
Nature Communications 11, no. 1 (2020) 4887.
[doi:10.1038/s41467-020-18695-z]
Ryabov, Alexey, Blasius, Bernd, Hillebrand, Helmit, Olenina, Irina, and Gross, Thilo. “Trait reconstruction and estimation of functional diversity from ecolocical monitoring data.”
Proc. Nat. Sci. USA 119, no. 43 (2022) e2118156119.
[doi:10.1073/pnas.2118156119]
Ghafourian, Amin, Georgiou, Orestis, Barter, Edmund, and Gross, Thilo. “Wireless localization with diffusion maps.”
Scientific Reports 10, no. 1 (2020) 20655.
[doi:10.1038/s41598-020-77695-7]
\bibitem{coifman2005geometric} Coifman, R. R., Lafon, S., Lee, A. B., Maggioni, M., Nadler, B. et al. ‘‘Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps.'' \textit{Proceedings of the National Academy of Sciences} 102, no.~21 (2005) 7426--7431. [doi:10.1073/pnas.0500334102]
\bibitem{coifman2006diffusion} Coifman, Ronald R., and Lafon, St\'{e}phane. ‘‘Diffusion maps.'' \textit{Applied and Computational Harmonic Analysis} 21, no.~1 (2006) 5--30. [doi:10.1016/j.acha.2006.04.006]
\bibitem{nadler2006diffusion} Nadler, Boaz, Lafon, St\'{e}phane, Coifman, Ronald R., and Kevrekidis, Ioannis G.. ‘‘Diffusion maps, spectral clustering and reaction coordinates of dynamical systems.'' \textit{Applied and Computational Harmonic Analysis} 21, no.~1 (2006) 113--127. [doi:10.1016/j.acha.2005.07.004]
\bibitem{barter2019manifold} Barter, Edmund, and Gross, Thilo. ‘‘Manifold cities: social variables of urban areas in the UK.'' \textit{Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences} 475, no.~2221 (2019) 20180615. [doi:10.1098/rspa.2018.0615]
\bibitem{fahimipour2020mapping} Fahimipour, Ashkaan K., and Gross, Thilo. ‘‘Mapping the bacterial metabolic niche space.'' \textit{Nature Communications} 11, no.~1 (2020) 4887. [doi:10.1038/s41467-020-18695-z]
\bibitem{ryabov2021trait} Ryabov, Alexey, Blasius, Bernd, Hillebrand, Helmit, Olenina, Irina, and Gross, Thilo. ‘‘Trait reconstruction and estimation of functional diversity from ecolocical monitoring data.'' \textit{Proc. Nat. Sci. USA} 119, no.~43 (2022) e2118156119. [doi:10.1073/pnas.2118156119]
\bibitem{ghafourian2020wireless} Ghafourian, Amin, Georgiou, Orestis, Barter, Edmund, and Gross, Thilo. ‘‘Wireless localization with diffusion maps.'' \textit{Scientific Reports} 10, no.~1 (2020) 20655. [doi:10.1038/s41598-020-77695-7]
BibTex
@article{coifman2005geometric,
title = {Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps},
year = {2005},
author = {Coifman, R. R. and Lafon, S. and Lee, A. B. and Maggioni, M. and Nadler, B. and Warner, F. and Zucker, S. W.},
doi = {10.1073/pnas.0500334102},
number = {21},
journal = {Proceedings of the National Academy of Sciences},
volume = {102},
pages = {7426--7431},
}
@article{coifman2006diffusion,
title = {Diffusion maps},
year = {2006},
author = {Coifman, Ronald R. and Lafon, St\'{e}phane},
doi = {10.1016/j.acha.2006.04.006},
number = {1},
journal = {Applied and Computational Harmonic Analysis},
volume = {21},
pages = {5--30},
}
@article{nadler2006diffusion,
title = {Diffusion maps, spectral clustering and reaction coordinates of dynamical systems},
year = {2006},
author = {Nadler, Boaz and Lafon, St\'{e}phane and Coifman, Ronald R. and Kevrekidis, Ioannis G.},
doi = {10.1016/j.acha.2005.07.004},
number = {1},
journal = {Applied and Computational Harmonic Analysis},
volume = {21},
pages = {113--127},
}
@article{barter2019manifold,
title = {Manifold cities: social variables of urban areas in the UK},
year = {2019},
author = {Barter, Edmund and Gross, Thilo},
doi = {10.1098/rspa.2018.0615},
number = {2221},
journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
volume = {475},
pages = {20180615},
}
@article{fahimipour2020mapping,
title = {Mapping the bacterial metabolic niche space},
year = {2020},
author = {Fahimipour, Ashkaan K. and Gross, Thilo},
doi = {10.1038/s41467-020-18695-z},
number = {1},
journal = {Nature Communications},
volume = {11},
pages = {4887},
}
@article{ryabov2021trait,
title = {Trait reconstruction and estimation of functional diversity from ecolocical monitoring data},
year = {2022},
author = {Ryabov, Alexey and Blasius, Bernd and Hillebrand, Helmit and Olenina, Irina and Gross, Thilo},
doi = {10.1073/pnas.2118156119},
number = {43},
journal = {Proc. Nat. Sci. USA},
volume = {119},
pages = {e2118156119},
}
@article{ghafourian2020wireless,
title = {Wireless localization with diffusion maps},
year = {2020},
author = {Ghafourian, Amin and Georgiou, Orestis and Barter, Edmund and Gross, Thilo},
doi = {10.1038/s41598-020-77695-7},
number = {1},
journal = {Scientific Reports},
volume = {10},
pages = {20655},
}
RIS
TY - JOUR
DA - 2005
A1 - Coifman, R. R.
A2 - Lafon, S.
A3 - Lee, A. B.
A4 - Maggioni, M.
AU - Nadler, B.
AU - Warner, F.
AU - Zucker, S. W.
DO - 10.1073/pnas.0500334102
EP - 7431
IS - 21
J1 - Proceedings of the National Academy of Sciences
SP - 7426
TI - Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
VO - 102
ER -
TY - JOUR
DA - 2006
A1 - Coifman, Ronald R.
A2 - Lafon, Stéphane
DO - 10.1016/j.acha.2006.04.006
EP - 30
IS - 1
J1 - Applied and Computational Harmonic Analysis
SP - 5
TI - Diffusion maps
VO - 21
ER -
TY - JOUR
DA - 2006
A1 - Nadler, Boaz
A2 - Lafon, Stéphane
A3 - Coifman, Ronald R.
A4 - Kevrekidis, Ioannis G.
DO - 10.1016/j.acha.2005.07.004
EP - 127
IS - 1
J1 - Applied and Computational Harmonic Analysis
SP - 113
TI - Diffusion maps, spectral clustering and reaction coordinates of dynamical systems
VO - 21
ER -
TY - JOUR
DA - 2019
AV - 1809.03376
A1 - Barter, Edmund
A2 - Gross, Thilo
DO - 10.1098/rspa.2018.0615
IS - 2221
J1 - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
SP - 20180615
TI - Manifold cities: social variables of urban areas in the UK
VO - 475
ER -
TY - JOUR
DA - 2020
AV - 1908.07631
A1 - Fahimipour, Ashkaan K.
A2 - Gross, Thilo
DO - 10.1038/s41467-020-18695-z
IS - 1
J1 - Nature Communications
SP - 4887
TI - Mapping the bacterial metabolic niche space
VO - 11
ER -
TY - JOUR
DA - 2022
AV - 2107.13792
A1 - Ryabov, Alexey
A2 - Blasius, Bernd
A3 - Hillebrand, Helmit
A4 - Olenina, Irina
AU - Gross, Thilo
DO - 10.1073/pnas.2118156119
IS - 43
J1 - Proc. Nat. Sci. USA
SP - e2118156119
TI - Trait reconstruction and estimation of functional diversity from ecolocical monitoring data
VO - 119
ER -
TY - JOUR
DA - 2020
AV - 1908.05216
A1 - Ghafourian, Amin
A2 - Georgiou, Orestis
A3 - Barter, Edmund
A4 - Gross, Thilo
DO - 10.1038/s41598-020-77695-7
IS - 1
J1 - Scientific Reports
SP - 20655
TI - Wireless localization with diffusion maps
VO - 10
ER -