Data analysis techniques - Revision history

Admin: /* Non-linear analysis */

2024-04-21T11:11:09Z

Non-linear analysis

← Older revision		Revision as of 13:11, 21 April 2024
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	* [[Bicoherence]], bispectrum		* [[Bicoherence]], bispectrum
	* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])		* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]], [[Intermittence]])
	* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) {{ISBN\|978-9812563767}}</ref><ref>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022\|Nucl. Fusion '''51''' (2011) 053022]]</ref>		* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) {{ISBN\|978-9812563767}}</ref><ref>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022\|Nucl. Fusion '''51''' (2011) 053022]]</ref>

Admin at 10:41, 26 January 2023

2023-01-26T10:41:55Z

← Older revision		Revision as of 12:41, 26 January 2023
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	* [[Bicoherence]], bispectrum		* [[Bicoherence]], bispectrum
	* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])		* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])
	* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022\|Nucl. Fusion '''51''' (2011) 053022]]</ref>		* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) {{ISBN\|978-9812563767}}</ref><ref>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022\|Nucl. Fusion '''51''' (2011) 053022]]</ref>

	=== Self-similarity ===		=== Self-similarity ===

Admin: /* Causality */

2016-01-21T12:53:10Z

Causality

← Older revision		Revision as of 14:53, 21 January 2016
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	=== Causality ===		=== Causality ===

	* [[Causality detection]]<ref>B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011\|Nucl. Fusion '''54''' (2014), 023011]]</ref>		* [[Causality detection]]<ref>B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011\|Nucl. Fusion '''54''' (2014), 023011]]</ref>: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy
	: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy

	== Spatial analysis ==		== Spatial analysis ==

Admin at 12:52, 21 January 2016

2016-01-21T12:52:40Z

← Older revision		Revision as of 14:52, 21 January 2016
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	* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])		* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])
	* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022\|Nucl. Fusion '''51''' (2011) 053022]]</ref>		* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022\|Nucl. Fusion '''51''' (2011) 053022]]</ref>
	* [[Causality detection]] <ref>B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011\|Nucl. Fusion '''54''' (2014), 023011]]</ref>

	=== Self-similarity ===		=== Self-similarity ===
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	=== Causality ===		=== Causality ===

	* [[Causality detection]]: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy		* [[Causality detection]]<ref>B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011\|Nucl. Fusion '''54''' (2014), 023011]]</ref>
			: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy

	== Spatial analysis ==		== Spatial analysis ==

Admin: /* Causality */

2016-01-21T12:51:59Z

Causality

← Older revision		Revision as of 14:51, 21 January 2016
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	=== Causality ===		=== Causality ===

	* [[~~Causality_detection~~]]: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy		* [[Causality detection]]: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy

	== Spatial analysis ==		== Spatial analysis ==

Admin: /* Temporal analysis */ Added causality

2016-01-21T12:51:33Z

Temporal analysis: Added causality

← Older revision		Revision as of 14:51, 21 January 2016
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	* [[:Wikipedia:Rescaled range\|Rescaled range]] or [[:Wikipedia:Hurst exponent\|Hurst]] analysis; Structure functions		* [[:Wikipedia:Rescaled range\|Rescaled range]] or [[:Wikipedia:Hurst exponent\|Hurst]] analysis; Structure functions
	* Waiting times, quiet times <ref>R. Sánchez et al., ''Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime'', [[doi:10.1103/PhysRevE.66.036124\|Phys. Rev. E '''66''', 036124 (2002)]]</ref>		* Waiting times, quiet times <ref>R. Sánchez et al., ''Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime'', [[doi:10.1103/PhysRevE.66.036124\|Phys. Rev. E '''66''', 036124 (2002)]]</ref>

			=== Causality ===

			* [[Causality_detection]]: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy

	== Spatial analysis ==		== Spatial analysis ==

Admin: /* Linear analysis */

2015-07-16T09:10:16Z

Linear analysis

← Older revision		Revision as of 11:10, 16 July 2015
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	* [[:Wikipedia:Fourier transform\|Fourier]] analysis		* [[:Wikipedia:Fourier transform\|Fourier]] analysis
	* [[:Wikipedia:Wavelet\|Wavelet]] analysis		* [[:Wikipedia:Wavelet\|Wavelet]] analysis
	* Conditional analysis		* Conditional analysis <ref>I. Teliban, D. Block, A. Piel and F. Greiner, ''Improved conditional averaging technique for plasma fluctuation diagnostics'', [[doi:10.1088/0741-3335/49/4/011\|Plasma Phys. Control. Fusion '''49'''(2007) 485–497]]</ref>
	* Probability distribution, [[:Wikipedia:Cumulative distribution function\|Cumulative distribution function]] (rank)		* Probability distribution, [[:Wikipedia:Cumulative distribution function\|Cumulative distribution function]] (rank)

Admin: Updated reference links

2015-07-16T08:35:56Z

Updated reference links

← Older revision		Revision as of 10:35, 16 July 2015
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	* [[Bicoherence]], bispectrum		* [[Bicoherence]], bispectrum
	* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])		* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])
	* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>~~[http://stacks.iop.org/0029-5515/51/053022~~ B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', Nucl. Fusion '''51''' (2011) 053022]</ref>		* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022\|Nucl. Fusion '''51''' (2011) 053022]]</ref>
	* [[Causality detection]] <ref>~~[[doi:10.1088/0029-5515/54/2/023011\|~~B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', Nucl. Fusion '''54''' (2014), 023011]]</ref>		* [[Causality detection]] <ref>B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011\|Nucl. Fusion '''54''' (2014), 023011]]</ref>

	=== Self-similarity ===		=== Self-similarity ===

	* [[:Wikipedia:Rescaled range\|Rescaled range]] or [[:Wikipedia:Hurst exponent\|Hurst]] analysis; Structure functions		* [[:Wikipedia:Rescaled range\|Rescaled range]] or [[:Wikipedia:Hurst exponent\|Hurst]] analysis; Structure functions
	* Waiting times, quiet times <ref>~~[http://link.aps.org/doi/10.1103/PhysRevE.66.036124~~ R. Sánchez et al., ''Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime'', Phys. Rev. E '''66''', 036124 (2002)]</ref>		* Waiting times, quiet times <ref>R. Sánchez et al., ''Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime'', [[doi:10.1103/PhysRevE.66.036124\|Phys. Rev. E '''66''', 036124 (2002)]]</ref>

	== Spatial analysis ==		== Spatial analysis ==

Admin: /* Spatio-temporal analysis */

2015-07-16T08:33:11Z

Spatio-temporal analysis

← Older revision		Revision as of 10:33, 16 July 2015
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	== Spatio-temporal analysis ==		== Spatio-temporal analysis ==

	* [[Biorthogonal decomposition]]		* [[Biorthogonal decomposition]] <ref>B.Ph. van Milligen, E. Sánchez, A. Alonso, M.A. Pedrosa, C. Hidalgo, A. Martín de Aguilera, A. López Fraguas, ''The use of the Biorthogonal Decomposition for the identification of zonal flows at TJ-II'', [[doi:10.1088/0741-3335/57/2/025005\|Plasma Phys. Control. Fusion '''57''', 2 (2015) 025005]]</ref>

	== Image analysis ==		== Image analysis ==

Admin: /* Non-linear analysis */

2014-03-21T08:52:37Z

Non-linear analysis

← Older revision		Revision as of 10:52, 21 March 2014
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	* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])		* Chaos analysis ([[:Wikipedia:Attractor\|Strange attractor]], [[:Wikipedia:Fractal dimension\|Fractal dimension]], [[:Wikipedia:Mutual information\|Mutual information]], [[:Wikipedia:Lyapunov exponent\|Lyapunov exponent]])
	* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>[http://stacks.iop.org/0029-5515/51/053022 B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', Nucl. Fusion '''51''' (2011) 053022]</ref>		* [[:Wikipedia:Hilbert-Huang transform\|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>[http://stacks.iop.org/0029-5515/51/053022 B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', Nucl. Fusion '''51''' (2011) 053022]</ref>
	* Causality detection <ref>[[doi:10.1088/0029-5515/54/2/023011\|B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', Nucl. Fusion '''54''' (2014), 023011]]</ref>		* [[Causality detection]] <ref>[[doi:10.1088/0029-5515/54/2/023011\|B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', Nucl. Fusion '''54''' (2014), 023011]]</ref>

	=== Self-similarity ===		=== Self-similarity ===

← Older revision		Revision as of 11:10, 16 July 2015
Line 8:		Line 8:
	* [[:Wikipedia:Fourier transform\|Fourier]] analysis		* [[:Wikipedia:Fourier transform\|Fourier]] analysis
	* [[:Wikipedia:Wavelet\|Wavelet]] analysis		* [[:Wikipedia:Wavelet\|Wavelet]] analysis
	* Conditional analysis		* Conditional analysis <ref>I. Teliban, D. Block, A. Piel and F. Greiner, ''Improved conditional averaging technique for plasma fluctuation diagnostics'', [[doi:10.1088/0741-3335/49/4/011\|Plasma Phys. Control. Fusion '''49'''(2007) 485–497]]</ref>
	* Probability distribution, [[:Wikipedia:Cumulative distribution function\|Cumulative distribution function]] (rank)		* Probability distribution, [[:Wikipedia:Cumulative distribution function\|Cumulative distribution function]] (rank)