Normalization and cross-entropy connectivity in brain disease classification

In resting-state functional magnetic resonance imaging (rs-fMRI), Pearson correlation has traditionally been the dominant method for constructing brain connectivity. This paper introduces an entropy-based connectivity approach utilizing subject-level Z score normalization, which not only standardize...

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Published iniScience Vol. 28; no. 4; p. 112226
Main Authors Wu, Haifeng, Li, Shunliang, Zeng, Yu
Format Journal Article
LanguageEnglish
Published United States Elsevier Inc 18.04.2025
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Abstract In resting-state functional magnetic resonance imaging (rs-fMRI), Pearson correlation has traditionally been the dominant method for constructing brain connectivity. This paper introduces an entropy-based connectivity approach utilizing subject-level Z score normalization, which not only standardizes signal amplitudes across subjects but also preserves interregional signal differences more effectively than Pearson correlation. Furthermore, the proposed method incorporates cross-entropy techniques, offering an advanced perspective on the temporal ordering of signals between brain regions rather than merely capturing their synchronization. Experimental results demonstrate that the proposed subject-normalized cross-joint entropy achieves superior classification accuracy in schizophrenia, mild cognitive impairment, and autism spectrum disorder, outperforming the conventional normalized correlation method by approximately 4%, 6%, and 7%, respectively. Additionally, the observed performance improvement may be attributed to changes in the symmetry of functional connectivity between brain regions—an aspect often overlooked in traditional functional connectivity analyses. [Display omitted] •Propose a brain connectivity method based on subject normalization•Limitations of cross-entropy supplementary correlation method•Assesses the potential of cross-entropy in brain disease classification tasks•Changes in the symmetry of brain entropy connectivity Neuroscience; Mathematical biosciences; Biocomputational method
AbstractList In resting-state functional magnetic resonance imaging (rs-fMRI), Pearson correlation has traditionally been the dominant method for constructing brain connectivity. This paper introduces an entropy-based connectivity approach utilizing subject-level Z score normalization, which not only standardizes signal amplitudes across subjects but also preserves interregional signal differences more effectively than Pearson correlation. Furthermore, the proposed method incorporates cross-entropy techniques, offering an advanced perspective on the temporal ordering of signals between brain regions rather than merely capturing their synchronization. Experimental results demonstrate that the proposed subject-normalized cross-joint entropy achieves superior classification accuracy in schizophrenia, mild cognitive impairment, and autism spectrum disorder, outperforming the conventional normalized correlation method by approximately 4%, 6%, and 7%, respectively. Additionally, the observed performance improvement may be attributed to changes in the symmetry of functional connectivity between brain regions-an aspect often overlooked in traditional functional connectivity analyses.In resting-state functional magnetic resonance imaging (rs-fMRI), Pearson correlation has traditionally been the dominant method for constructing brain connectivity. This paper introduces an entropy-based connectivity approach utilizing subject-level Z score normalization, which not only standardizes signal amplitudes across subjects but also preserves interregional signal differences more effectively than Pearson correlation. Furthermore, the proposed method incorporates cross-entropy techniques, offering an advanced perspective on the temporal ordering of signals between brain regions rather than merely capturing their synchronization. Experimental results demonstrate that the proposed subject-normalized cross-joint entropy achieves superior classification accuracy in schizophrenia, mild cognitive impairment, and autism spectrum disorder, outperforming the conventional normalized correlation method by approximately 4%, 6%, and 7%, respectively. Additionally, the observed performance improvement may be attributed to changes in the symmetry of functional connectivity between brain regions-an aspect often overlooked in traditional functional connectivity analyses.
In resting-state functional magnetic resonance imaging (rs-fMRI), Pearson correlation has traditionally been the dominant method for constructing brain connectivity. This paper introduces an entropy-based connectivity approach utilizing subject-level score normalization, which not only standardizes signal amplitudes across subjects but also preserves interregional signal differences more effectively than Pearson correlation. Furthermore, the proposed method incorporates cross-entropy techniques, offering an advanced perspective on the temporal ordering of signals between brain regions rather than merely capturing their synchronization. Experimental results demonstrate that the proposed subject-normalized cross-joint entropy achieves superior classification accuracy in schizophrenia, mild cognitive impairment, and autism spectrum disorder, outperforming the conventional normalized correlation method by approximately 4%, 6%, and 7%, respectively. Additionally, the observed performance improvement may be attributed to changes in the symmetry of functional connectivity between brain regions-an aspect often overlooked in traditional functional connectivity analyses.
In resting-state functional magnetic resonance imaging (rs-fMRI), Pearson correlation has traditionally been the dominant method for constructing brain connectivity. This paper introduces an entropy-based connectivity approach utilizing subject-level Z score normalization, which not only standardizes signal amplitudes across subjects but also preserves interregional signal differences more effectively than Pearson correlation. Furthermore, the proposed method incorporates cross-entropy techniques, offering an advanced perspective on the temporal ordering of signals between brain regions rather than merely capturing their synchronization. Experimental results demonstrate that the proposed subject-normalized cross-joint entropy achieves superior classification accuracy in schizophrenia, mild cognitive impairment, and autism spectrum disorder, outperforming the conventional normalized correlation method by approximately 4%, 6%, and 7%, respectively. Additionally, the observed performance improvement may be attributed to changes in the symmetry of functional connectivity between brain regions—an aspect often overlooked in traditional functional connectivity analyses. [Display omitted] •Propose a brain connectivity method based on subject normalization•Limitations of cross-entropy supplementary correlation method•Assesses the potential of cross-entropy in brain disease classification tasks•Changes in the symmetry of brain entropy connectivity Neuroscience; Mathematical biosciences; Biocomputational method
In resting-state functional magnetic resonance imaging (rs-fMRI), Pearson correlation has traditionally been the dominant method for constructing brain connectivity. This paper introduces an entropy-based connectivity approach utilizing subject-level Z score normalization, which not only standardizes signal amplitudes across subjects but also preserves interregional signal differences more effectively than Pearson correlation. Furthermore, the proposed method incorporates cross-entropy techniques, offering an advanced perspective on the temporal ordering of signals between brain regions rather than merely capturing their synchronization. Experimental results demonstrate that the proposed subject-normalized cross-joint entropy achieves superior classification accuracy in schizophrenia, mild cognitive impairment, and autism spectrum disorder, outperforming the conventional normalized correlation method by approximately 4%, 6%, and 7%, respectively. Additionally, the observed performance improvement may be attributed to changes in the symmetry of functional connectivity between brain regions—an aspect often overlooked in traditional functional connectivity analyses. • Propose a brain connectivity method based on subject normalization • Limitations of cross-entropy supplementary correlation method • Assesses the potential of cross-entropy in brain disease classification tasks • Changes in the symmetry of brain entropy connectivity Neuroscience; Mathematical biosciences; Biocomputational method
ArticleNumber 112226
Author Zeng, Yu
Li, Shunliang
Wu, Haifeng
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Cites_doi 10.1093/scan/nss053
10.1162/089976603321780272
10.1038/sj.mp.4001558
10.1038/nn.3919
10.1016/j.neuroimage.2024.120532
10.1073/pnas.93.5.2083
10.1016/j.neuroimage.2022.119708
10.3389/fnhum.2013.00573
10.1007/s11517-014-1216-0
10.1016/j.dsp.2021.103137
10.1007/s11071-021-06759-8
10.1016/S0006-8993(02)03358-9
10.1109/JSTARS.2021.3086151
10.1152/ajpheart.2000.278.6.H2039
10.1007/s11071-019-04924-8
10.1016/j.neuroimage.2021.118532
10.1016/j.patcog.2005.10.013
10.1088/1741-2560/9/3/036007
10.1007/s11071-018-4429-1
10.1002/aur.1494
10.1109/TNSRE.2007.897025
10.1007/s11357-022-00552-0
10.1016/j.nicl.2019.101812
10.1016/S1053-8119(03)00202-7
10.1007/s11071-014-1823-1
10.1016/j.neucom.2020.09.017
10.1109/TNSRE.2021.3123696
10.3390/e21060541
10.1142/S0129065722500265
10.3389/fpsyt.2016.00205
10.1016/j.neuroimage.2022.119384
10.1109/TBME.2011.2164793
10.1088/1741-2560/10/3/036023
10.1016/j.neuroimage.2011.10.002
10.1016/j.image.2014.06.006
10.1109/TCBB.2016.2635144
10.1109/TCSS.2020.2966910
10.1063/1.4929148
10.1038/s41380-021-01229-4
10.1016/j.artmed.2004.07.001
10.1016/j.celrep.2013.10.003
10.1002/hbm.26129
10.17148/IARJSET.2015.2305
10.1002/jmri.23961
10.1016/j.neuroimage.2010.08.071
10.1016/j.schres.2007.05.029
10.1109/ACCESS.2019.2926288
10.1016/j.psychres.2022.115000
10.1001/jamapsychiatry.2014.3176
10.3389/fnagi.2020.596122
10.1016/j.cmpb.2016.02.008
10.1007/s00213-011-2587-7
10.1038/nphys3230
10.1007/s004220050549
10.1113/expphysiol.2007.037150
10.1093/cercor/bhae070
10.1038/s41586-022-05377-7
10.1016/0165-1684(89)90132-1
10.1038/s41593-022-01182-7
10.1016/S1053-8119(03)00112-5
10.1212/WNL.0000000000003711
10.1146/annurev-neuro-070918-050258
10.1038/npjschz.2016.14
10.1007/s004220050414
10.1016/j.ins.2010.01.004
10.1371/journal.pone.0259448
10.1006/nimg.2001.0978
10.1007/s12021-016-9299-4
10.1016/j.nucmedbio.2009.05.005
10.1073/pnas.88.6.2297
10.1016/j.neuroimage.2020.117202
10.1016/j.neunet.2021.11.016
10.1007/s11682-022-00748-0
10.1002/hbm.25683
10.1016/j.neuroimage.2020.116995
10.1038/s41593-019-0371-x
10.1016/j.neuroimage.2021.117893
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References Ramírez-Parietti, Contreras-Reyes, Idrovo-Aguirre (bib49) 2021; 105
Richman, Moorman (bib36) 2000; 278
Pincus (bib34) 1991; 88
Li, Liu, Li, Zheng, Liu, Hou (bib39) 2015; 53
Reinhart, Nguyen (bib65) 2019; 22
Xie, Zheng, Guo, Chen (bib50) 2010; 180
Lin, Lee, Huang, Chen, Chang, Liu, Ng, Lee, Wu (bib23) 2023; 17
Flood, Grimm (bib53) 2021; 16
De Domenico, Biamonte (bib16) 2016; 6
Zhou, Liang, Tian, Wang, Hao, Liu, Liu, Jiang (bib54) 2007; 97
Hudetz (bib47) 2002; 954
Parrondo, Horowitz, Sagawa (bib74) 2015; 11
Stöffel, Vaqué-Alcázar, Bartrés-Faz, Peró-Cebollero, Cañete-Massé, Guàrdia-Olmos (bib3) 2024; 288
Dajani, Uddin (bib70) 2016; 9
Shi, Li (bib11) 2024; 34
Pokrajac, Megalooikonomou, Lazarevic, Kontos, Obradovic (bib29) 2005; 33
Hadley, Kraguljac, White, Ver Hoef, Tabora, Lahti (bib75) 2016; 2
Jia, Gu (bib19) 2019; 96
Mueller, Wang, Pan, Holt, Liu (bib58) 2015; 72
Delgado-Bonal, Marshak (bib27) 2019; 21
Zhang, Ye, Lei, Qian (bib55) 2021; 14
Jolles, Mennigen, Gupta, Hegarty, Bearden, Karlsgodt (bib4) 2020; 221
Hahamy, Behrmann, Malach (bib71) 2015; 18
Wang (bib78) 2021; 232
Tzourio-Mazoyer, Landeau, Papathanassiou, Crivello, Etard, Delcroix, Mazoyer, Joliot (bib79) 2002; 15
Keown, Shih, Nair, Peterson, Mulvey, Müller (bib67) 2013; 5
Hill, Boto, Rea, Holmes, Leggett, Coles, Papastavrou, Everton, Hunt, Sims (bib7) 2020; 219
Guan, Wan, Zhao, Canario, Meng, Biswal (bib15) 2023; 44
Paninski (bib44) 2003; 15
Yue, Gong, Li, Ji, Li, Nandi (bib62) 2019; 7
Schmahmann, Guell, Stoodley, Halko (bib63) 2019; 42
Bassett, Nelson, Mueller, Camchong, Lim (bib17) 2012; 59
Liu, Krishnan, Yan, Smith, Kilroy, Alger, Ringman, Wang (bib21) 2013; 38
Benjamin, Chen, Jaffe, Stolz, Collado-Torres, Huuki-Myers, Burke, Arora, Feltrin, Barbosa (bib60) 2022; 25
Gao, Wang, Chen (bib42) 2013; 10
Sokunbi, Staff, Waiter, Ahearn, Fox, Deary, Starr, Whalley, Murray (bib18) 2011; 58
Lee, Tibon, Zeidman, Yadav, Henson (bib13) 2022; 264
Azami, Escudero (bib38) 2016; 128
Moddemeijer (bib80) 1989; 16
Wang, Shang (bib52) 2018; 94
Patro, Sahu (bib30) 2015; 2
Liang, Li, Zheng, Liao, Huang (bib14) 2022; 258
Wang, Li, Childress, Detre (bib35) 2014; 9
Franzmeier, Duering, Weiner, Dichgans, Ewers (bib64) 2017; 88
Yan, Wang, Zuo, Zang (bib81) 2016; 14
Liu, Palaniyappan, Wu, Zhang, Du, Zhao, Xie, Tang, Su, Wei (bib59) 2021; 26
von dem Hagen, Stoyanova, Baron-Cohen, Calder (bib69) 2013; 8
Schumacher, Peraza, Firbank, Thomas, Kaiser, Gallagher, O'Brien, Blamire, Taylor (bib76) 2019; 22
Alonso, Mañanas, Romero, Rojas-Martínez, Riba (bib22) 2012; 221
Gray (bib32) 2011
Chen, Wang, Xie, Yu (bib37) 2007; 15
Porta, Baselli, Lombardi, Montano, Malliani, Cerutti (bib45) 1999; 81
Pappalettera, Miraglia, Cotelli, Rossini, Vecchio (bib33) 2022; 44
Horwitz (bib1) 2003; 19
Pauleit, Stoffels, Bachofner, Floeth, Sabel, Herzog, Tellmann, Jansen, Reifenberger, Hamacher (bib5) 2009; 36
Wan, Yang, Huang, Zeng, Liu (bib6) 2021; 421
Marouf, Hasan, Mahmud (bib56) 2020; 7
Bagherzadeh, Sheikhani, Behnam (bib26) 2015; 2
Boulgouris, Plataniotis, Hatzinakos (bib31) 2006; 39
Harrison, Weinberger (bib57) 2005; 10
Gandal, Haney, Wamsley, Yap, Parhami, Emani, Chang, Chen, Hoftman, de Alba (bib72) 2022; 611
Gergelyfi, Sanz-Arigita, Solopchuk, Dricot, Jacob, Zénon (bib2) 2021; 243
Cao, Cai, Wang, Wang, Yu, Cao, Liu (bib20) 2015; 25
Bruna, Poza, Gómez, Garcia, Fernández, Hornero (bib40) 2012; 9
Zhang, Yang, Coote (bib48) 2007; 92
Porta, Baselli, Liberati, Montano, Cogliati, Gnecchi-Ruscone, Malliani, Cerutti (bib28) 1998; 78
Shi, Shang, Lin (bib51) 2015; 79
Wu, Li, Lu, Zeng (bib8) 2021; 117
Hull, Dokovna, Jacokes, Torgerson, Irimia, Van Horn (bib73) 2016; 7
Friston, Harrison, Penny (bib12) 2003; 19
García-Martínez, Fernández-Caballero, Martínez-Rodrigo, Alcaraz, Novais (bib24) 2022; 32
Pincus, Singer (bib46) 1996; 93
Liu, Li, Lan, Wu, Pan, Wang (bib61) 2018; 15
Chen, Wu, Song, Ge, Yan, Xue, Qi, Yuan, Lin, Chen (bib66) 2023; 319
Li (bib43) 2022; 146
Li, Li, Zheng, Jiang, Gao, Li, Peng, Cao, Zhang, Yao (bib25) 2021; 29
Liu, Liu, Huang, Bovik (bib41) 2014; 29
Wang (bib77) 2020; 12
Cao, Zhao, Shan, Wei, Guo, Chen, Erkoyuncu, Sarrigiannis (bib10) 2022; 43
Gao, Duan, Chen (bib9) 2011; 54
Redcay, Moran, Mavros, Tager-Flusberg, Gabrieli, Whitfield-Gabrieli (bib68) 2013; 7
Alonso (10.1016/j.isci.2025.112226_bib22) 2012; 221
Pauleit (10.1016/j.isci.2025.112226_bib5) 2009; 36
Hull (10.1016/j.isci.2025.112226_bib73) 2016; 7
Hadley (10.1016/j.isci.2025.112226_bib75) 2016; 2
Gao (10.1016/j.isci.2025.112226_bib9) 2011; 54
De Domenico (10.1016/j.isci.2025.112226_bib16) 2016; 6
Porta (10.1016/j.isci.2025.112226_bib28) 1998; 78
Franzmeier (10.1016/j.isci.2025.112226_bib64) 2017; 88
Pincus (10.1016/j.isci.2025.112226_bib46) 1996; 93
Parrondo (10.1016/j.isci.2025.112226_bib74) 2015; 11
Lee (10.1016/j.isci.2025.112226_bib13) 2022; 264
Benjamin (10.1016/j.isci.2025.112226_bib60) 2022; 25
Wang (10.1016/j.isci.2025.112226_bib52) 2018; 94
Wang (10.1016/j.isci.2025.112226_bib77) 2020; 12
Liu (10.1016/j.isci.2025.112226_bib41) 2014; 29
Gao (10.1016/j.isci.2025.112226_bib42) 2013; 10
Cao (10.1016/j.isci.2025.112226_bib10) 2022; 43
Wang (10.1016/j.isci.2025.112226_bib78) 2021; 232
Jia (10.1016/j.isci.2025.112226_bib19) 2019; 96
Zhou (10.1016/j.isci.2025.112226_bib54) 2007; 97
Pappalettera (10.1016/j.isci.2025.112226_bib33) 2022; 44
Zhang (10.1016/j.isci.2025.112226_bib48) 2007; 92
Sokunbi (10.1016/j.isci.2025.112226_bib18) 2011; 58
Patro (10.1016/j.isci.2025.112226_bib30) 2015; 2
Li (10.1016/j.isci.2025.112226_bib39) 2015; 53
Liu (10.1016/j.isci.2025.112226_bib21) 2013; 38
Lin (10.1016/j.isci.2025.112226_bib23) 2023; 17
Delgado-Bonal (10.1016/j.isci.2025.112226_bib27) 2019; 21
Friston (10.1016/j.isci.2025.112226_bib12) 2003; 19
Azami (10.1016/j.isci.2025.112226_bib38) 2016; 128
Hudetz (10.1016/j.isci.2025.112226_bib47) 2002; 954
Wu (10.1016/j.isci.2025.112226_bib8) 2021; 117
Li (10.1016/j.isci.2025.112226_bib43) 2022; 146
Wang (10.1016/j.isci.2025.112226_bib35) 2014; 9
Chen (10.1016/j.isci.2025.112226_bib66) 2023; 319
Bagherzadeh (10.1016/j.isci.2025.112226_bib26) 2015; 2
Schmahmann (10.1016/j.isci.2025.112226_bib63) 2019; 42
Liu (10.1016/j.isci.2025.112226_bib59) 2021; 26
Li (10.1016/j.isci.2025.112226_bib25) 2021; 29
Pokrajac (10.1016/j.isci.2025.112226_bib29) 2005; 33
Yue (10.1016/j.isci.2025.112226_bib62) 2019; 7
Moddemeijer (10.1016/j.isci.2025.112226_bib80) 1989; 16
Horwitz (10.1016/j.isci.2025.112226_bib1) 2003; 19
Schumacher (10.1016/j.isci.2025.112226_bib76) 2019; 22
Xie (10.1016/j.isci.2025.112226_bib50) 2010; 180
Hill (10.1016/j.isci.2025.112226_bib7) 2020; 219
Pincus (10.1016/j.isci.2025.112226_bib34) 1991; 88
Yan (10.1016/j.isci.2025.112226_bib81) 2016; 14
Gray (10.1016/j.isci.2025.112226_bib32) 2011
García-Martínez (10.1016/j.isci.2025.112226_bib24) 2022; 32
Guan (10.1016/j.isci.2025.112226_bib15) 2023; 44
Jolles (10.1016/j.isci.2025.112226_bib4) 2020; 221
Gandal (10.1016/j.isci.2025.112226_bib72) 2022; 611
Porta (10.1016/j.isci.2025.112226_bib45) 1999; 81
Tzourio-Mazoyer (10.1016/j.isci.2025.112226_bib79) 2002; 15
Stöffel (10.1016/j.isci.2025.112226_bib3) 2024; 288
Hahamy (10.1016/j.isci.2025.112226_bib71) 2015; 18
Harrison (10.1016/j.isci.2025.112226_bib57) 2005; 10
Wan (10.1016/j.isci.2025.112226_bib6) 2021; 421
Flood (10.1016/j.isci.2025.112226_bib53) 2021; 16
Ramírez-Parietti (10.1016/j.isci.2025.112226_bib49) 2021; 105
Reinhart (10.1016/j.isci.2025.112226_bib65) 2019; 22
Gergelyfi (10.1016/j.isci.2025.112226_bib2) 2021; 243
Dajani (10.1016/j.isci.2025.112226_bib70) 2016; 9
Chen (10.1016/j.isci.2025.112226_bib37) 2007; 15
Zhang (10.1016/j.isci.2025.112226_bib55) 2021; 14
Redcay (10.1016/j.isci.2025.112226_bib68) 2013; 7
Shi (10.1016/j.isci.2025.112226_bib51) 2015; 79
Mueller (10.1016/j.isci.2025.112226_bib58) 2015; 72
Liang (10.1016/j.isci.2025.112226_bib14) 2022; 258
Liu (10.1016/j.isci.2025.112226_bib61) 2018; 15
Keown (10.1016/j.isci.2025.112226_bib67) 2013; 5
Boulgouris (10.1016/j.isci.2025.112226_bib31) 2006; 39
Marouf (10.1016/j.isci.2025.112226_bib56) 2020; 7
Bassett (10.1016/j.isci.2025.112226_bib17) 2012; 59
von dem Hagen (10.1016/j.isci.2025.112226_bib69) 2013; 8
Cao (10.1016/j.isci.2025.112226_bib20) 2015; 25
Richman (10.1016/j.isci.2025.112226_bib36) 2000; 278
Paninski (10.1016/j.isci.2025.112226_bib44) 2003; 15
Bruna (10.1016/j.isci.2025.112226_bib40) 2012; 9
Shi (10.1016/j.isci.2025.112226_bib11) 2024; 34
References_xml – volume: 81
  start-page: 119
  year: 1999
  end-page: 129
  ident: bib45
  article-title: Conditional entropy approach for the evaluation of the coupling strength
  publication-title: Biol. Cybern.
– volume: 7
  start-page: 587
  year: 2020
  end-page: 599
  ident: bib56
  article-title: Comparative analysis of feature selection algorithms for computational personality prediction from social media
  publication-title: IEEE Trans. Comput. Soc. Syst.
– volume: 232
  year: 2021
  ident: bib78
  article-title: The neurocognitive correlates of brain entropy estimated by resting state fMRI
  publication-title: Neuroimage
– volume: 15
  start-page: 1191
  year: 2003
  end-page: 1253
  ident: bib44
  article-title: Estimation of entropy and mutual information
  publication-title: Neural Comput.
– volume: 8
  start-page: 694
  year: 2013
  end-page: 701
  ident: bib69
  article-title: Reduced functional connectivity within and between ‘social’resting state networks in autism spectrum conditions
  publication-title: Soc. Cogn. Affect. Neurosci.
– volume: 128
  start-page: 40
  year: 2016
  end-page: 51
  ident: bib38
  article-title: Amplitude-aware permutation entropy: Illustration in spike detection and signal segmentation
  publication-title: Comput. Methods Programs Biomed.
– volume: 58
  start-page: 3206
  year: 2011
  end-page: 3214
  ident: bib18
  article-title: Inter-individual differences in fMRI entropy measurements in old age
  publication-title: IEEE Trans. Biomed. Eng.
– volume: 97
  start-page: 194
  year: 2007
  end-page: 205
  ident: bib54
  article-title: Functional disintegration in paranoid schizophrenia using resting-state fMRI
  publication-title: Schizophr. Res.
– volume: 25
  start-page: 1559
  year: 2022
  end-page: 1568
  ident: bib60
  article-title: Analysis of the caudate nucleus transcriptome in individuals with schizophrenia highlights effects of antipsychotics and new risk genes
  publication-title: Nat. Neurosci.
– volume: 42
  start-page: 337
  year: 2019
  end-page: 364
  ident: bib63
  article-title: The theory and neuroscience of cerebellar cognition
  publication-title: Annu. Rev. Neurosci.
– volume: 26
  start-page: 7719
  year: 2021
  end-page: 7731
  ident: bib59
  article-title: Resolving heterogeneity in schizophrenia through a novel systems approach to brain structure: individualized structural covariance network analysis
  publication-title: Mol. Psychiatry
– year: 2011
  ident: bib32
  article-title: Entropy and Information Theory
– volume: 53
  start-page: 77
  year: 2015
  end-page: 87
  ident: bib39
  article-title: Assessing the complexity of short-term heartbeat interval series by distribution entropy
  publication-title: Med. Biol. Eng. Comput.
– volume: 16
  year: 2021
  ident: bib53
  article-title: EntropyHub: An open-source toolkit for entropic time series analysis
  publication-title: PLoS One
– volume: 17
  start-page: 125
  year: 2023
  end-page: 135
  ident: bib23
  article-title: Automatic diagnosis of late-life depression by 3D convolutional neural networks and cross-sample Entropy analysis from resting-state fMRI
  publication-title: Brain Imaging Behav.
– volume: 72
  start-page: 552
  year: 2015
  end-page: 560
  ident: bib58
  article-title: Abnormalities in hemispheric specialization of caudate nucleus connectivity in schizophrenia
  publication-title: JAMA Psychiatry
– volume: 421
  start-page: 1
  year: 2021
  end-page: 14
  ident: bib6
  article-title: A review on transfer learning in EEG signal analysis
  publication-title: Neurocomputing
– volume: 43
  start-page: 860
  year: 2022
  end-page: 879
  ident: bib10
  article-title: Brain functional and effective connectivity based on electroencephalography recordings: A review
  publication-title: Hum. Brain Mapp.
– volume: 278
  start-page: H2039
  year: 2000
  end-page: H2049
  ident: bib36
  article-title: Physiological time-series analysis using approximate entropy and sample entropy
  publication-title: Am. J. Physiol. Heart Circ. Physiol.
– volume: 105
  start-page: 2485
  year: 2021
  end-page: 2508
  ident: bib49
  article-title: Cross-sample entropy estimation for time series analysis: a nonparametric approach
  publication-title: Nonlinear Dyn.
– volume: 11
  start-page: 131
  year: 2015
  end-page: 139
  ident: bib74
  article-title: Thermodynamics of information
  publication-title: Nat. Phys.
– volume: 288
  year: 2024
  ident: bib3
  article-title: Reduced default mode network effective connectivity in healthy aging is modulated by years of education
  publication-title: Neuroimage
– volume: 39
  start-page: 969
  year: 2006
  end-page: 979
  ident: bib31
  article-title: Gait recognition using linear time normalization
  publication-title: Pattern Recogn.
– volume: 88
  start-page: 1054
  year: 2017
  end-page: 1061
  ident: bib64
  article-title: Left frontal cortex connectivity underlies cognitive reserve in prodromal Alzheimer disease
  publication-title: Neurology
– volume: 16
  start-page: 233
  year: 1989
  end-page: 248
  ident: bib80
  article-title: On estimation of entropy and mutual information of continuous distributions
  publication-title: Signal Process.
– volume: 10
  start-page: 40
  year: 2005
  end-page: 45
  ident: bib57
  article-title: Schizophrenia genes, gene expression, and neuropathology: on the matter of their convergence
  publication-title: Mol. Psychiatry
– volume: 21
  start-page: 541
  year: 2019
  ident: bib27
  article-title: Approximate entropy and sample entropy: A comprehensive tutorial
  publication-title: Entropy
– volume: 7
  start-page: 205
  year: 2016
  ident: bib73
  article-title: Resting-state functional connectivity in autism spectrum disorders: a review
  publication-title: Front. Psychiatry
– volume: 78
  start-page: 71
  year: 1998
  end-page: 78
  ident: bib28
  article-title: Measuring regularity by means of a corrected conditional entropy in sympathetic outflow
  publication-title: Biol. Cybern.
– volume: 33
  start-page: 261
  year: 2005
  end-page: 280
  ident: bib29
  article-title: Applying spatial distribution analysis techniques to classification of 3D medical images
  publication-title: Artif. Intell. Med.
– volume: 44
  start-page: 1599
  year: 2022
  end-page: 1607
  ident: bib33
  article-title: Analysis of complexity in the EEG activity of Parkinson’s disease patients by means of approximate entropy
  publication-title: GeroScience
– volume: 9
  year: 2012
  ident: bib40
  article-title: Analysis of spontaneous MEG activity in mild cognitive impairment and Alzheimer's disease using spectral entropies and statistical complexity measures
  publication-title: J. Neural. Eng.
– volume: 954
  start-page: 123
  year: 2002
  end-page: 131
  ident: bib47
  article-title: Effect of volatile anesthetics on interhemispheric EEG cross-approximate entropy in the rat
  publication-title: Brain Res.
– volume: 117
  year: 2021
  ident: bib8
  article-title: fMRI activations via low-complexity second-order inverse-sparse-transform blind separation
  publication-title: Digit. Signal Process.
– volume: 9
  start-page: 43
  year: 2016
  end-page: 54
  ident: bib70
  article-title: Local brain connectivity across development in autism spectrum disorder: A cross-sectional investigation
  publication-title: Autism Res.
– volume: 14
  start-page: 5932
  year: 2021
  end-page: 5949
  ident: bib55
  article-title: Feature selection for cross-scene hyperspectral image classification using cross-domain I-ReliefF
  publication-title: IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens.
– volume: 22
  year: 2019
  ident: bib76
  article-title: Dynamic functional connectivity changes in dementia with Lewy bodies and Alzheimer's disease
  publication-title: Neuroimage. Clin.
– volume: 2
  start-page: 1
  year: 2015
  end-page: 9
  ident: bib26
  article-title: Evaluation of EEG synchronization in autistic children using cross-sample entropy and cross-approximate entropy
  publication-title: Open Sci. J. Biosci. Bioeng
– volume: 180
  start-page: 1715
  year: 2010
  end-page: 1724
  ident: bib50
  article-title: Cross-fuzzy entropy: A new method to test pattern synchrony of bivariate time series
  publication-title: Inf. Sci.
– volume: 25
  year: 2015
  ident: bib20
  article-title: Characterization of complexity in the electroencephalograph activity of Alzheimer's disease based on fuzzy entropy
  publication-title: Chaos
– volume: 2
  start-page: 16014
  year: 2016
  end-page: 16017
  ident: bib75
  article-title: Change in brain network topology as a function of treatment response in schizophrenia: a longitudinal resting-state fMRI study using graph theory
  publication-title: NPJ Schizophr.
– volume: 243
  year: 2021
  ident: bib2
  article-title: Mental fatigue correlates with depression of task-related network and augmented DMN activity but spares the reward circuit
  publication-title: Neuroimage
– volume: 6
  year: 2016
  ident: bib16
  article-title: Spectral entropies as information-theoretic tools for complex network comparison
  publication-title: Phys. Rev. X
– volume: 96
  start-page: 2327
  year: 2019
  end-page: 2340
  ident: bib19
  article-title: Identifying nonlinear dynamics of brain functional networks of patients with schizophrenia by sample entropy
  publication-title: Nonlinear Dyn.
– volume: 10
  year: 2013
  ident: bib42
  article-title: Event-related desynchronization and synchronization quantification in motor-related EEG by Kolmogorov entropy
  publication-title: J. Neural. Eng.
– volume: 18
  start-page: 302
  year: 2015
  end-page: 309
  ident: bib71
  article-title: The idiosyncratic brain: distortion of spontaneous connectivity patterns in autism spectrum disorder
  publication-title: Nat. Neurosci.
– volume: 19
  start-page: 1273
  year: 2003
  end-page: 1302
  ident: bib12
  article-title: Dynamic causal modelling
  publication-title: Neuroimage
– volume: 5
  start-page: 567
  year: 2013
  end-page: 572
  ident: bib67
  article-title: Local functional overconnectivity in posterior brain regions is associated with symptom severity in autism spectrum disorders
  publication-title: Cell Rep.
– volume: 88
  start-page: 2297
  year: 1991
  end-page: 2301
  ident: bib34
  article-title: Approximate entropy as a measure of system complexity
  publication-title: Proc. Natl. Acad. Sci. USA
– volume: 54
  start-page: 1280
  year: 2011
  end-page: 1288
  ident: bib9
  article-title: Evaluation of effective connectivity of motor areas during motor imagery and execution using conditional Granger causality
  publication-title: Neuroimage
– volume: 19
  start-page: 466
  year: 2003
  end-page: 470
  ident: bib1
  article-title: The elusive concept of brain connectivity
  publication-title: Neuroimage
– volume: 34
  year: 2024
  ident: bib11
  article-title: The effective connectivity analysis of fMRI based on asymmetric detection of transfer brain entropy
  publication-title: Cereb. Cortex
– volume: 221
  start-page: 397
  year: 2012
  end-page: 406
  ident: bib22
  article-title: Cross-conditional entropy and coherence analysis of pharmaco-EEG changes induced by alprazolam
  publication-title: Psychopharmacology
– volume: 7
  start-page: 573
  year: 2013
  ident: bib68
  article-title: Intrinsic functional network organization in high-functioning adolescents with autism spectrum disorder
  publication-title: Front. Hum. Neurosci.
– volume: 146
  start-page: 85
  year: 2022
  end-page: 97
  ident: bib43
  article-title: Functional connectivity inference from fMRI data using multivariate information measures
  publication-title: Neural Netw.
– volume: 7
  start-page: 93752
  year: 2019
  end-page: 93760
  ident: bib62
  article-title: Hierarchical feature extraction for early Alzheimer’s disease diagnosis
  publication-title: IEEE Access
– volume: 12
  year: 2020
  ident: bib77
  article-title: Brain entropy mapping in healthy aging and Alzheimer’s disease
  publication-title: Front. Aging Neurosci.
– volume: 9
  year: 2014
  ident: bib35
  article-title: Brain entropy mapping using fMRI
  publication-title: PLoS One
– volume: 221
  year: 2020
  ident: bib4
  article-title: Relationships between intrinsic functional connectivity, cognitive control, and reading achievement across development
  publication-title: Neuroimage
– volume: 32
  year: 2022
  ident: bib24
  article-title: Evaluation of brain functional connectivity from electroencephalographic signals under different emotional states
  publication-title: Int. J. Neural Syst.
– volume: 38
  start-page: 36
  year: 2013
  end-page: 45
  ident: bib21
  article-title: Complexity and synchronicity of resting state blood oxygenation level-dependent (BOLD) functional MRI in normal aging and cognitive decline
  publication-title: J. Magn. Reson. Imaging.
– volume: 15
  start-page: 273
  year: 2002
  end-page: 289
  ident: bib79
  article-title: Automated anatomical labeling of activations in SPM using a macroscopic anatomical parcellation of the MNI MRI single-subject brain
  publication-title: Neuroimage
– volume: 29
  start-page: 856
  year: 2014
  end-page: 863
  ident: bib41
  article-title: No-reference image quality assessment based on spatial and spectral entropies
  publication-title: Signal Process. Image Commun.
– volume: 319
  year: 2023
  ident: bib66
  article-title: Altered structural and functional homotopic connectivity associated with the progression from mild cognitive impairment to Alzheimer's disease
  publication-title: Psychiatry Res.
– volume: 93
  start-page: 2083
  year: 1996
  end-page: 2088
  ident: bib46
  article-title: Randomness and degrees of irregularity
  publication-title: Proc. Natl. Acad. Sci. USA
– volume: 44
  start-page: 94
  year: 2023
  end-page: 118
  ident: bib15
  article-title: The complexity of spontaneous brain activity changes in schizophrenia, bipolar disorder, and ADHD was examined using different variations of entropy
  publication-title: Hum. Brain Mapp.
– volume: 15
  start-page: 624
  year: 2018
  end-page: 632
  ident: bib61
  article-title: Classification of Alzheimer's disease using whole brain hierarchical network
  publication-title: IEEE/ACM Trans. Comput. Biol. Bioinform.
– volume: 611
  start-page: 532
  year: 2022
  end-page: 539
  ident: bib72
  article-title: Broad transcriptomic dysregulation occurs across the cerebral cortex in ASD
  publication-title: Nature
– volume: 36
  start-page: 779
  year: 2009
  end-page: 787
  ident: bib5
  article-title: Comparison of 18F-FET and 18F-FDG PET in brain tumors
  publication-title: Nucl. Med. Biol.
– volume: 2
  start-page: 20
  year: 2015
  end-page: 22
  ident: bib30
  article-title: Normalization: A Preprocessing Stage
  publication-title: IARJSET
– volume: 22
  start-page: 820
  year: 2019
  end-page: 827
  ident: bib65
  article-title: Working memory revived in older adults by synchronizing rhythmic brain circuits
  publication-title: Nat. Neurosci.
– volume: 94
  start-page: 1361
  year: 2018
  end-page: 1376
  ident: bib52
  article-title: Analysis of financial stock markets through the multiscale cross-distribution entropy based on the Tsallis entropy
  publication-title: Nonlinear Dyn.
– volume: 258
  year: 2022
  ident: bib14
  article-title: Dynamic causal modelling of hierarchical planning
  publication-title: Neuroimage
– volume: 29
  start-page: 2281
  year: 2021
  end-page: 2291
  ident: bib25
  article-title: Identification of the general anesthesia induced loss of consciousness by cross fuzzy entropy-based brain network
  publication-title: IEEE Trans. Neural Syst. Rehabil. Eng.
– volume: 92
  start-page: 659
  year: 2007
  end-page: 669
  ident: bib48
  article-title: Cross-sample entropy statistic as a measure of complexity and regularity of renal sympathetic nerve activity in the rat
  publication-title: Exp. Physiol.
– volume: 219
  year: 2020
  ident: bib7
  article-title: Multi-channel whole-head OPM-MEG: Helmet design and a comparison with a conventional system
  publication-title: Neuroimage
– volume: 15
  start-page: 266
  year: 2007
  end-page: 272
  ident: bib37
  article-title: Characterization of surface EMG signal based on fuzzy entropy
  publication-title: IEEE Trans. Neural Syst. Rehabil. Eng.
– volume: 79
  start-page: 2439
  year: 2015
  end-page: 2447
  ident: bib51
  article-title: The coupling analysis of stock market indices based on cross-permutation entropy
  publication-title: Nonlinear Dyn.
– volume: 264
  year: 2022
  ident: bib13
  article-title: Effects of face repetition on ventral visual stream connectivity using dynamic causal modelling of fMRI data
  publication-title: Neuroimage
– volume: 59
  start-page: 2196
  year: 2012
  end-page: 2207
  ident: bib17
  article-title: Altered resting state complexity in schizophrenia
  publication-title: Neuroimage
– volume: 14
  start-page: 339
  year: 2016
  end-page: 351
  ident: bib81
  article-title: DPABI: data processing and analysis for (resting-state) brain imaging
  publication-title: Neuroinformatics
– volume: 8
  start-page: 694
  year: 2013
  ident: 10.1016/j.isci.2025.112226_bib69
  article-title: Reduced functional connectivity within and between ‘social’resting state networks in autism spectrum conditions
  publication-title: Soc. Cogn. Affect. Neurosci.
  doi: 10.1093/scan/nss053
– volume: 15
  start-page: 1191
  year: 2003
  ident: 10.1016/j.isci.2025.112226_bib44
  article-title: Estimation of entropy and mutual information
  publication-title: Neural Comput.
  doi: 10.1162/089976603321780272
– volume: 10
  start-page: 40
  year: 2005
  ident: 10.1016/j.isci.2025.112226_bib57
  article-title: Schizophrenia genes, gene expression, and neuropathology: on the matter of their convergence
  publication-title: Mol. Psychiatry
  doi: 10.1038/sj.mp.4001558
– volume: 18
  start-page: 302
  year: 2015
  ident: 10.1016/j.isci.2025.112226_bib71
  article-title: The idiosyncratic brain: distortion of spontaneous connectivity patterns in autism spectrum disorder
  publication-title: Nat. Neurosci.
  doi: 10.1038/nn.3919
– year: 2011
  ident: 10.1016/j.isci.2025.112226_bib32
– volume: 288
  year: 2024
  ident: 10.1016/j.isci.2025.112226_bib3
  article-title: Reduced default mode network effective connectivity in healthy aging is modulated by years of education
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2024.120532
– volume: 93
  start-page: 2083
  year: 1996
  ident: 10.1016/j.isci.2025.112226_bib46
  article-title: Randomness and degrees of irregularity
  publication-title: Proc. Natl. Acad. Sci. USA
  doi: 10.1073/pnas.93.5.2083
– volume: 264
  year: 2022
  ident: 10.1016/j.isci.2025.112226_bib13
  article-title: Effects of face repetition on ventral visual stream connectivity using dynamic causal modelling of fMRI data
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2022.119708
– volume: 7
  start-page: 573
  year: 2013
  ident: 10.1016/j.isci.2025.112226_bib68
  article-title: Intrinsic functional network organization in high-functioning adolescents with autism spectrum disorder
  publication-title: Front. Hum. Neurosci.
  doi: 10.3389/fnhum.2013.00573
– volume: 53
  start-page: 77
  year: 2015
  ident: 10.1016/j.isci.2025.112226_bib39
  article-title: Assessing the complexity of short-term heartbeat interval series by distribution entropy
  publication-title: Med. Biol. Eng. Comput.
  doi: 10.1007/s11517-014-1216-0
– volume: 117
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib8
  article-title: fMRI activations via low-complexity second-order inverse-sparse-transform blind separation
  publication-title: Digit. Signal Process.
  doi: 10.1016/j.dsp.2021.103137
– volume: 105
  start-page: 2485
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib49
  article-title: Cross-sample entropy estimation for time series analysis: a nonparametric approach
  publication-title: Nonlinear Dyn.
  doi: 10.1007/s11071-021-06759-8
– volume: 954
  start-page: 123
  year: 2002
  ident: 10.1016/j.isci.2025.112226_bib47
  article-title: Effect of volatile anesthetics on interhemispheric EEG cross-approximate entropy in the rat
  publication-title: Brain Res.
  doi: 10.1016/S0006-8993(02)03358-9
– volume: 14
  start-page: 5932
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib55
  article-title: Feature selection for cross-scene hyperspectral image classification using cross-domain I-ReliefF
  publication-title: IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens.
  doi: 10.1109/JSTARS.2021.3086151
– volume: 278
  start-page: H2039
  year: 2000
  ident: 10.1016/j.isci.2025.112226_bib36
  article-title: Physiological time-series analysis using approximate entropy and sample entropy
  publication-title: Am. J. Physiol. Heart Circ. Physiol.
  doi: 10.1152/ajpheart.2000.278.6.H2039
– volume: 96
  start-page: 2327
  year: 2019
  ident: 10.1016/j.isci.2025.112226_bib19
  article-title: Identifying nonlinear dynamics of brain functional networks of patients with schizophrenia by sample entropy
  publication-title: Nonlinear Dyn.
  doi: 10.1007/s11071-019-04924-8
– volume: 243
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib2
  article-title: Mental fatigue correlates with depression of task-related network and augmented DMN activity but spares the reward circuit
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2021.118532
– volume: 39
  start-page: 969
  year: 2006
  ident: 10.1016/j.isci.2025.112226_bib31
  article-title: Gait recognition using linear time normalization
  publication-title: Pattern Recogn.
  doi: 10.1016/j.patcog.2005.10.013
– volume: 9
  year: 2012
  ident: 10.1016/j.isci.2025.112226_bib40
  article-title: Analysis of spontaneous MEG activity in mild cognitive impairment and Alzheimer's disease using spectral entropies and statistical complexity measures
  publication-title: J. Neural. Eng.
  doi: 10.1088/1741-2560/9/3/036007
– volume: 94
  start-page: 1361
  year: 2018
  ident: 10.1016/j.isci.2025.112226_bib52
  article-title: Analysis of financial stock markets through the multiscale cross-distribution entropy based on the Tsallis entropy
  publication-title: Nonlinear Dyn.
  doi: 10.1007/s11071-018-4429-1
– volume: 9
  start-page: 43
  year: 2016
  ident: 10.1016/j.isci.2025.112226_bib70
  article-title: Local brain connectivity across development in autism spectrum disorder: A cross-sectional investigation
  publication-title: Autism Res.
  doi: 10.1002/aur.1494
– volume: 15
  start-page: 266
  year: 2007
  ident: 10.1016/j.isci.2025.112226_bib37
  article-title: Characterization of surface EMG signal based on fuzzy entropy
  publication-title: IEEE Trans. Neural Syst. Rehabil. Eng.
  doi: 10.1109/TNSRE.2007.897025
– volume: 44
  start-page: 1599
  year: 2022
  ident: 10.1016/j.isci.2025.112226_bib33
  article-title: Analysis of complexity in the EEG activity of Parkinson’s disease patients by means of approximate entropy
  publication-title: GeroScience
  doi: 10.1007/s11357-022-00552-0
– volume: 22
  year: 2019
  ident: 10.1016/j.isci.2025.112226_bib76
  article-title: Dynamic functional connectivity changes in dementia with Lewy bodies and Alzheimer's disease
  publication-title: Neuroimage. Clin.
  doi: 10.1016/j.nicl.2019.101812
– volume: 19
  start-page: 1273
  year: 2003
  ident: 10.1016/j.isci.2025.112226_bib12
  article-title: Dynamic causal modelling
  publication-title: Neuroimage
  doi: 10.1016/S1053-8119(03)00202-7
– volume: 79
  start-page: 2439
  year: 2015
  ident: 10.1016/j.isci.2025.112226_bib51
  article-title: The coupling analysis of stock market indices based on cross-permutation entropy
  publication-title: Nonlinear Dyn.
  doi: 10.1007/s11071-014-1823-1
– volume: 421
  start-page: 1
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib6
  article-title: A review on transfer learning in EEG signal analysis
  publication-title: Neurocomputing
  doi: 10.1016/j.neucom.2020.09.017
– volume: 29
  start-page: 2281
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib25
  article-title: Identification of the general anesthesia induced loss of consciousness by cross fuzzy entropy-based brain network
  publication-title: IEEE Trans. Neural Syst. Rehabil. Eng.
  doi: 10.1109/TNSRE.2021.3123696
– volume: 21
  start-page: 541
  year: 2019
  ident: 10.1016/j.isci.2025.112226_bib27
  article-title: Approximate entropy and sample entropy: A comprehensive tutorial
  publication-title: Entropy
  doi: 10.3390/e21060541
– volume: 32
  year: 2022
  ident: 10.1016/j.isci.2025.112226_bib24
  article-title: Evaluation of brain functional connectivity from electroencephalographic signals under different emotional states
  publication-title: Int. J. Neural Syst.
  doi: 10.1142/S0129065722500265
– volume: 7
  start-page: 205
  year: 2016
  ident: 10.1016/j.isci.2025.112226_bib73
  article-title: Resting-state functional connectivity in autism spectrum disorders: a review
  publication-title: Front. Psychiatry
  doi: 10.3389/fpsyt.2016.00205
– volume: 258
  year: 2022
  ident: 10.1016/j.isci.2025.112226_bib14
  article-title: Dynamic causal modelling of hierarchical planning
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2022.119384
– volume: 58
  start-page: 3206
  year: 2011
  ident: 10.1016/j.isci.2025.112226_bib18
  article-title: Inter-individual differences in fMRI entropy measurements in old age
  publication-title: IEEE Trans. Biomed. Eng.
  doi: 10.1109/TBME.2011.2164793
– volume: 10
  year: 2013
  ident: 10.1016/j.isci.2025.112226_bib42
  article-title: Event-related desynchronization and synchronization quantification in motor-related EEG by Kolmogorov entropy
  publication-title: J. Neural. Eng.
  doi: 10.1088/1741-2560/10/3/036023
– volume: 59
  start-page: 2196
  year: 2012
  ident: 10.1016/j.isci.2025.112226_bib17
  article-title: Altered resting state complexity in schizophrenia
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2011.10.002
– volume: 29
  start-page: 856
  year: 2014
  ident: 10.1016/j.isci.2025.112226_bib41
  article-title: No-reference image quality assessment based on spatial and spectral entropies
  publication-title: Signal Process. Image Commun.
  doi: 10.1016/j.image.2014.06.006
– volume: 15
  start-page: 624
  year: 2018
  ident: 10.1016/j.isci.2025.112226_bib61
  article-title: Classification of Alzheimer's disease using whole brain hierarchical network
  publication-title: IEEE/ACM Trans. Comput. Biol. Bioinform.
  doi: 10.1109/TCBB.2016.2635144
– volume: 7
  start-page: 587
  year: 2020
  ident: 10.1016/j.isci.2025.112226_bib56
  article-title: Comparative analysis of feature selection algorithms for computational personality prediction from social media
  publication-title: IEEE Trans. Comput. Soc. Syst.
  doi: 10.1109/TCSS.2020.2966910
– volume: 25
  year: 2015
  ident: 10.1016/j.isci.2025.112226_bib20
  article-title: Characterization of complexity in the electroencephalograph activity of Alzheimer's disease based on fuzzy entropy
  publication-title: Chaos
  doi: 10.1063/1.4929148
– volume: 26
  start-page: 7719
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib59
  article-title: Resolving heterogeneity in schizophrenia through a novel systems approach to brain structure: individualized structural covariance network analysis
  publication-title: Mol. Psychiatry
  doi: 10.1038/s41380-021-01229-4
– volume: 33
  start-page: 261
  year: 2005
  ident: 10.1016/j.isci.2025.112226_bib29
  article-title: Applying spatial distribution analysis techniques to classification of 3D medical images
  publication-title: Artif. Intell. Med.
  doi: 10.1016/j.artmed.2004.07.001
– volume: 5
  start-page: 567
  year: 2013
  ident: 10.1016/j.isci.2025.112226_bib67
  article-title: Local functional overconnectivity in posterior brain regions is associated with symptom severity in autism spectrum disorders
  publication-title: Cell Rep.
  doi: 10.1016/j.celrep.2013.10.003
– volume: 44
  start-page: 94
  year: 2023
  ident: 10.1016/j.isci.2025.112226_bib15
  article-title: The complexity of spontaneous brain activity changes in schizophrenia, bipolar disorder, and ADHD was examined using different variations of entropy
  publication-title: Hum. Brain Mapp.
  doi: 10.1002/hbm.26129
– volume: 2
  start-page: 20
  year: 2015
  ident: 10.1016/j.isci.2025.112226_bib30
  article-title: Normalization: A Preprocessing Stage
  publication-title: IARJSET
  doi: 10.17148/IARJSET.2015.2305
– volume: 38
  start-page: 36
  year: 2013
  ident: 10.1016/j.isci.2025.112226_bib21
  article-title: Complexity and synchronicity of resting state blood oxygenation level-dependent (BOLD) functional MRI in normal aging and cognitive decline
  publication-title: J. Magn. Reson. Imaging.
  doi: 10.1002/jmri.23961
– volume: 9
  year: 2014
  ident: 10.1016/j.isci.2025.112226_bib35
  article-title: Brain entropy mapping using fMRI
  publication-title: PLoS One
– volume: 54
  start-page: 1280
  year: 2011
  ident: 10.1016/j.isci.2025.112226_bib9
  article-title: Evaluation of effective connectivity of motor areas during motor imagery and execution using conditional Granger causality
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2010.08.071
– volume: 2
  start-page: 1
  year: 2015
  ident: 10.1016/j.isci.2025.112226_bib26
  article-title: Evaluation of EEG synchronization in autistic children using cross-sample entropy and cross-approximate entropy
  publication-title: Open Sci. J. Biosci. Bioeng
– volume: 97
  start-page: 194
  year: 2007
  ident: 10.1016/j.isci.2025.112226_bib54
  article-title: Functional disintegration in paranoid schizophrenia using resting-state fMRI
  publication-title: Schizophr. Res.
  doi: 10.1016/j.schres.2007.05.029
– volume: 7
  start-page: 93752
  year: 2019
  ident: 10.1016/j.isci.2025.112226_bib62
  article-title: Hierarchical feature extraction for early Alzheimer’s disease diagnosis
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2019.2926288
– volume: 319
  year: 2023
  ident: 10.1016/j.isci.2025.112226_bib66
  article-title: Altered structural and functional homotopic connectivity associated with the progression from mild cognitive impairment to Alzheimer's disease
  publication-title: Psychiatry Res.
  doi: 10.1016/j.psychres.2022.115000
– volume: 72
  start-page: 552
  year: 2015
  ident: 10.1016/j.isci.2025.112226_bib58
  article-title: Abnormalities in hemispheric specialization of caudate nucleus connectivity in schizophrenia
  publication-title: JAMA Psychiatry
  doi: 10.1001/jamapsychiatry.2014.3176
– volume: 12
  year: 2020
  ident: 10.1016/j.isci.2025.112226_bib77
  article-title: Brain entropy mapping in healthy aging and Alzheimer’s disease
  publication-title: Front. Aging Neurosci.
  doi: 10.3389/fnagi.2020.596122
– volume: 6
  year: 2016
  ident: 10.1016/j.isci.2025.112226_bib16
  article-title: Spectral entropies as information-theoretic tools for complex network comparison
  publication-title: Phys. Rev. X
– volume: 128
  start-page: 40
  year: 2016
  ident: 10.1016/j.isci.2025.112226_bib38
  article-title: Amplitude-aware permutation entropy: Illustration in spike detection and signal segmentation
  publication-title: Comput. Methods Programs Biomed.
  doi: 10.1016/j.cmpb.2016.02.008
– volume: 221
  start-page: 397
  year: 2012
  ident: 10.1016/j.isci.2025.112226_bib22
  article-title: Cross-conditional entropy and coherence analysis of pharmaco-EEG changes induced by alprazolam
  publication-title: Psychopharmacology
  doi: 10.1007/s00213-011-2587-7
– volume: 11
  start-page: 131
  year: 2015
  ident: 10.1016/j.isci.2025.112226_bib74
  article-title: Thermodynamics of information
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3230
– volume: 81
  start-page: 119
  year: 1999
  ident: 10.1016/j.isci.2025.112226_bib45
  article-title: Conditional entropy approach for the evaluation of the coupling strength
  publication-title: Biol. Cybern.
  doi: 10.1007/s004220050549
– volume: 92
  start-page: 659
  year: 2007
  ident: 10.1016/j.isci.2025.112226_bib48
  article-title: Cross-sample entropy statistic as a measure of complexity and regularity of renal sympathetic nerve activity in the rat
  publication-title: Exp. Physiol.
  doi: 10.1113/expphysiol.2007.037150
– volume: 34
  year: 2024
  ident: 10.1016/j.isci.2025.112226_bib11
  article-title: The effective connectivity analysis of fMRI based on asymmetric detection of transfer brain entropy
  publication-title: Cereb. Cortex
  doi: 10.1093/cercor/bhae070
– volume: 611
  start-page: 532
  year: 2022
  ident: 10.1016/j.isci.2025.112226_bib72
  article-title: Broad transcriptomic dysregulation occurs across the cerebral cortex in ASD
  publication-title: Nature
  doi: 10.1038/s41586-022-05377-7
– volume: 16
  start-page: 233
  year: 1989
  ident: 10.1016/j.isci.2025.112226_bib80
  article-title: On estimation of entropy and mutual information of continuous distributions
  publication-title: Signal Process.
  doi: 10.1016/0165-1684(89)90132-1
– volume: 25
  start-page: 1559
  year: 2022
  ident: 10.1016/j.isci.2025.112226_bib60
  article-title: Analysis of the caudate nucleus transcriptome in individuals with schizophrenia highlights effects of antipsychotics and new risk genes
  publication-title: Nat. Neurosci.
  doi: 10.1038/s41593-022-01182-7
– volume: 19
  start-page: 466
  year: 2003
  ident: 10.1016/j.isci.2025.112226_bib1
  article-title: The elusive concept of brain connectivity
  publication-title: Neuroimage
  doi: 10.1016/S1053-8119(03)00112-5
– volume: 88
  start-page: 1054
  year: 2017
  ident: 10.1016/j.isci.2025.112226_bib64
  article-title: Left frontal cortex connectivity underlies cognitive reserve in prodromal Alzheimer disease
  publication-title: Neurology
  doi: 10.1212/WNL.0000000000003711
– volume: 42
  start-page: 337
  year: 2019
  ident: 10.1016/j.isci.2025.112226_bib63
  article-title: The theory and neuroscience of cerebellar cognition
  publication-title: Annu. Rev. Neurosci.
  doi: 10.1146/annurev-neuro-070918-050258
– volume: 2
  start-page: 16014
  year: 2016
  ident: 10.1016/j.isci.2025.112226_bib75
  article-title: Change in brain network topology as a function of treatment response in schizophrenia: a longitudinal resting-state fMRI study using graph theory
  publication-title: NPJ Schizophr.
  doi: 10.1038/npjschz.2016.14
– volume: 78
  start-page: 71
  year: 1998
  ident: 10.1016/j.isci.2025.112226_bib28
  article-title: Measuring regularity by means of a corrected conditional entropy in sympathetic outflow
  publication-title: Biol. Cybern.
  doi: 10.1007/s004220050414
– volume: 180
  start-page: 1715
  year: 2010
  ident: 10.1016/j.isci.2025.112226_bib50
  article-title: Cross-fuzzy entropy: A new method to test pattern synchrony of bivariate time series
  publication-title: Inf. Sci.
  doi: 10.1016/j.ins.2010.01.004
– volume: 16
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib53
  article-title: EntropyHub: An open-source toolkit for entropic time series analysis
  publication-title: PLoS One
  doi: 10.1371/journal.pone.0259448
– volume: 15
  start-page: 273
  year: 2002
  ident: 10.1016/j.isci.2025.112226_bib79
  article-title: Automated anatomical labeling of activations in SPM using a macroscopic anatomical parcellation of the MNI MRI single-subject brain
  publication-title: Neuroimage
  doi: 10.1006/nimg.2001.0978
– volume: 14
  start-page: 339
  year: 2016
  ident: 10.1016/j.isci.2025.112226_bib81
  article-title: DPABI: data processing and analysis for (resting-state) brain imaging
  publication-title: Neuroinformatics
  doi: 10.1007/s12021-016-9299-4
– volume: 36
  start-page: 779
  year: 2009
  ident: 10.1016/j.isci.2025.112226_bib5
  article-title: Comparison of 18F-FET and 18F-FDG PET in brain tumors
  publication-title: Nucl. Med. Biol.
  doi: 10.1016/j.nucmedbio.2009.05.005
– volume: 88
  start-page: 2297
  year: 1991
  ident: 10.1016/j.isci.2025.112226_bib34
  article-title: Approximate entropy as a measure of system complexity
  publication-title: Proc. Natl. Acad. Sci. USA
  doi: 10.1073/pnas.88.6.2297
– volume: 221
  year: 2020
  ident: 10.1016/j.isci.2025.112226_bib4
  article-title: Relationships between intrinsic functional connectivity, cognitive control, and reading achievement across development
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2020.117202
– volume: 146
  start-page: 85
  year: 2022
  ident: 10.1016/j.isci.2025.112226_bib43
  article-title: Functional connectivity inference from fMRI data using multivariate information measures
  publication-title: Neural Netw.
  doi: 10.1016/j.neunet.2021.11.016
– volume: 17
  start-page: 125
  year: 2023
  ident: 10.1016/j.isci.2025.112226_bib23
  article-title: Automatic diagnosis of late-life depression by 3D convolutional neural networks and cross-sample Entropy analysis from resting-state fMRI
  publication-title: Brain Imaging Behav.
  doi: 10.1007/s11682-022-00748-0
– volume: 43
  start-page: 860
  year: 2022
  ident: 10.1016/j.isci.2025.112226_bib10
  article-title: Brain functional and effective connectivity based on electroencephalography recordings: A review
  publication-title: Hum. Brain Mapp.
  doi: 10.1002/hbm.25683
– volume: 219
  year: 2020
  ident: 10.1016/j.isci.2025.112226_bib7
  article-title: Multi-channel whole-head OPM-MEG: Helmet design and a comparison with a conventional system
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2020.116995
– volume: 22
  start-page: 820
  year: 2019
  ident: 10.1016/j.isci.2025.112226_bib65
  article-title: Working memory revived in older adults by synchronizing rhythmic brain circuits
  publication-title: Nat. Neurosci.
  doi: 10.1038/s41593-019-0371-x
– volume: 232
  year: 2021
  ident: 10.1016/j.isci.2025.112226_bib78
  article-title: The neurocognitive correlates of brain entropy estimated by resting state fMRI
  publication-title: Neuroimage
  doi: 10.1016/j.neuroimage.2021.117893
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Snippet In resting-state functional magnetic resonance imaging (rs-fMRI), Pearson correlation has traditionally been the dominant method for constructing brain...
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SubjectTerms Biocomputational method
Mathematical biosciences
Neuroscience
Title Normalization and cross-entropy connectivity in brain disease classification
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https://www.ncbi.nlm.nih.gov/pubmed/40235587
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