A type-2 neuro-fuzzy system with a novel learning method for Parkinson’s disease diagnosis | Applied Intelligence Skip to main content

Advertisement

Log in

A type-2 neuro-fuzzy system with a novel learning method for Parkinson’s disease diagnosis

  • Published:
Applied Intelligence Aims and scope Submit manuscript

Abstract

In this paper, an interpretable classifier for Parkinson’s Disease (PD) diagnosis based on analyzing the gait cycle is presented. The proposed method utilizes clinical features extracted from the vertical Ground Reaction Force (vGRF) measured by wearable sensors. Therefore, experts can verify the decision made by the proposed method. Type-2 fuzzy logic is applied to increase the robustness against noisy sensor data. First, the initial fuzzy rules are extracted using a K-Nearest-Neighbor-based clustering approach. Next, a novel quasi-Levenberg-Marquardt (qLM) learning approach is proposed and applied to fine-tune the initial rules based on minimizing the cross-entropy loss function using a trust-region optimization method. Finally, complementary online learning is proposed to improve rules by encountering new labeled samples. The performance of the method is evaluated to classify patients and healthy subjects in different conditions, including the presence of noise or observing new samples. Moreover, the performance of the model is compared to some previous supervised and unsupervised machine learning approaches. The final Accuracy, Precision, Recall, and F1 Score of the proposed method are 97.61%, 97.58%, 99.02%, and 98.30%.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Algorithm 1
Algorithm 2
Algorithm 3
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

Notes

  1. https://physionet.org/content/gaitpdb/1.0.0/

References

  1. Khoury N, Attal F, Amirat Y, Oukhellou L, Mohammed S (2019) Data-driven based approach to aid Parkinson’s disease diagnosis. Sensors 19(2):242

    Google Scholar 

  2. Hariharan M, Polat K, Sindhu R (2014) A new hybrid intelligent system for accurate detection of Parkinson’s disease. Comput Methods Programs Biomed 113(3):904–913

    Google Scholar 

  3. Pan S, Iplikci S, Warwick K, Aziz TZ (2012) Parkinson’s disease tremor classification–a comparison between support vector machines and neural networks. Expert Syst Appl 39(12):10764–10771

    Google Scholar 

  4. Goyal J, Khandnor P, Aseri TC (2020) Classification, prediction, and monitoring of Parkinson’s disease using computer assisted technologies: a comparative analysis. Eng Appl Artif Intell 96:103955. https://doi.org/10.1016/j.engappai.2020.103955

    Article  Google Scholar 

  5. Hall JE (2010) Guyton and hall textbook of medical physiology. Guyton physiology. Elsevier Health Sciences

  6. Salimi-Badr A, Ebadzadeh MM, Darlot C (2017) A possible correlation between the basal ganglia motor function and the inverse kinematics calculation. J Comput Neurosci 43(3):295–318

    MathSciNet  MATH  Google Scholar 

  7. Salimi-Badr A, Ebadzadeh MM, Darlot C (2018) A system-level mathematical model of Basal Ganglia motor-circuit for kinematic planning of arm movements. Comput Biol Med 92:78–89

    Google Scholar 

  8. Das R (2010) A comparison of multiple classification methods for diagnosis of Parkinson disease. Expert Syst Appl 37(2):1568–1572

    Google Scholar 

  9. Åström F, Koker R (2011) A parallel neural network approach to prediction of Parkinson’s disease. Expert Syst Appl 38(10):12470–12474

    Google Scholar 

  10. Khoury N, Attal F, Amirat Y, Chibani A, Mohammed S (2018) CDTW-based classification for Parkinson’s disease diagnosis. In: ESANN

  11. Salimi-Badr A, Hashemi M (2020) A neural-based approach to aid early parkinson’s disease diagnosis. In: 2020 11th international conference on information and knowledge technology (IKT), pp 23–25

  12. Farashi S (2021) Analysis of vertical eye movements in Parkinson’s disease and its potential for diagnosis. Appl Intell 51(11):8260–8270. https://doi.org/10.1007/s10489-021-02364-9

    Article  Google Scholar 

  13. El Maachi I, Bilodeau GA, Bouachir W (2020) Deep 1D-convnet for accurate parkinson disease detection and severity prediction from gait. Expert Syst Appl 143:113075. https://doi.org/10.1016/j.eswa.2019.113075

    Google Scholar 

  14. Zhao A, Qi L, Li J, Dong J, Yu H (2018) A hybrid spatio-temporal model for detection and severity rating of Parkinson’s disease from gait data. Neurocomputing 315:1–8. https://doi.org/10.1016/j.neucom.2018.03.032

    Google Scholar 

  15. Liu X, Li W, Liu Z, Du F, Zou Q. (2021) A dual-branch model for diagnosis of Parkinson’s disease based on the independent and joint features of the left and right gait. Appl Intell 51(10):7221–7232. https://doi.org/10.1007/s10489-020-02182-5

    Article  Google Scholar 

  16. Gunning D, Stefik M, Choi J, Miller T, Stumpf S, Yang GZ (2019) XAI–explainable artificial intelligence. Sci Robot 4(37):eaay7120

    Google Scholar 

  17. Arrieta A B, Díaz-Rodríguez N, Del Ser J, Bennetot A , Tabik S, Barbado A, et al. (2020) Explainable artificial intelligence (XAI): concepts, taxonomies, opportunities and challenges toward responsible AI. Information Fusion 58:82–115

    Google Scholar 

  18. Tjoa E, Guan C (2020) A survey on explainable artificial intelligence (xai): toward medical xai. IEEE Trans Neural Netw Learn Syst 32(11):4793–4813

    Google Scholar 

  19. Lee SH, Lim JS (2012) Parkinson’s disease classification using gait characteristics and wavelet-based feature extraction. Expert Syst Appl 39(8):7338–7344

    Google Scholar 

  20. Nancy Jane Y, Khanna Nehemiah H, Arputharaj K (2016) A q-backpropagated time delay neural network for diagnosing severity of gait disturbances in Parkinson’s disease. J Biomed Inform 60:169–176. https://doi.org/10.1016/j.jbi.2016.01.014

    Article  Google Scholar 

  21. Litvan I, Goldman JG, Tröster AI, Schmand BA, Weintraub D, Petersen RC, et al. (2012) Diagnostic criteria for mild cognitive impairment in Parkinson’s disease: movement disorder society task force guidelines. Mov Disord 27(3):349–356

    Google Scholar 

  22. Marras C, Armstrong MJ, Meaney CA, Fox S, Rothberg B, Reginold W, et al. (2013) Measuring mild cognitive impairment in patients with Parkinson’s disease. Mov Disord 28(5):626–633

    Google Scholar 

  23. Baiano C, Barone P, Trojano L, Santangelo G (2020) Prevalence and clinical aspects of mild cognitive impairment in Parkinson’s disease: a meta-analysis. Mov Disord 35(1):45–54

    Google Scholar 

  24. Yogev G, Giladi N, Peretz C, Springer S, Simon ES, Hausdorff JM (2005) Dual tasking, gait rhythmicity, and Parkinson’s disease: which aspects of gait are attention demanding? Eur J NeuroSci 22(5):1248–1256

    Google Scholar 

  25. Yogev G, Plotnik M, Peretz C, Giladi N, Hausdorff JM (2007) Gait asymmetry in patients with Parkinson’s disease and elderly fallers: when does the bilateral coordination of gait require attention? Exp Brain Res 177(3):336–346

    Google Scholar 

  26. Hausdorff JM, Cudkowicz ME, Firtion R, Wei JY, Goldberger AL (1998) Gait variability and basal ganglia disorders: stride-to-stride variations of gait cycle timing in Parkinson’s disease and Huntington’s disease. Mov Disord 13(3):428–437

    Google Scholar 

  27. Pahwa R, Lyons KE (2013) Handbook of Parkinson’s disease. Crc Press, Boca Raton

    Google Scholar 

  28. Harel B, Cannizzaro M, Snyder P. J. (2004) Variability in fundamental frequency during speech in prodromal and incipient Parkinson’s disease: a longitudinal case study. Brain Cogn 56(1):24–29

    Google Scholar 

  29. Hartelius L, Svensson P (1994) Speech and swallowing symptoms associated with Parkinson’s disease and multiple sclerosis: a survey. Folia Phoniatr Logop 46(1):9–17

    Google Scholar 

  30. Jeon HS, Han J, Yi WJ, Jeon B, Park KS (2008) Classification of Parkinson gait and normal gait using spatial-temporal image of plantar pressure. In: 2008 30th annual international conference of the IEEE engineering in medicine and biology society. IEEE, pp 4672–4675

  31. Ashhar K, Soh CB, Kong KH (2017) A wearable ultrasonic sensor network for analysis of bilateral gait symmetry. In: 2017 39th annual international conference of the IEEE engineering in medicine and biology society (EMBC). IEEE, pp 4455–4458

  32. Nieuwboer A, Dom R, De Weerdt W, Desloovere K, Janssens L, Stijn V (2004) Electromyographic profiles of gait prior to onset of freezing episodes in patients with Parkinson’s disease. Brain 127 (7):1650–1660

    Google Scholar 

  33. Hong M, Perlmutter JS, Earhart GM (2009) A kinematic and electromyographic analysis of turning in people with Parkinson disease. Neurorehabil Neural Repair 23(2):166–176

    Google Scholar 

  34. Saito N, Yamamoto T, Sugiura Y, Shimizu S, Shimizu M (2004) Lifecorder: a new device for the long-term monitoring of motor activities for Parkinson’s disease. Intern Med 43(8):685–692

    Google Scholar 

  35. Salarian A, Russmann H, Vingerhoets FJ, Dehollain C, Blanc Y, Burkhard PR, et al. (2004) Gait assessment in Parkinson’s disease: toward an ambulatory system for long-term monitoring. IEEE Trans Biomed Eng 51(8):1434–1443

    Google Scholar 

  36. Mariani B, Jiménez MC, Vingerhoets FJ, Aminian K (2012) On-shoe wearable sensors for gait and turning assessment of patients with Parkinson’s disease. IEEE Trans Biomed Eng 60(1):155–158

    Google Scholar 

  37. Latash ML, Aruin AS, Neyman I, Nicholas JJ (1995) Anticipatory postural adjustments during self inflicted and predictable perturbations in Parkinson’s disease. J Neurol Neurosurg Psychiatry 58(3):326–334

    Google Scholar 

  38. Cho CW, Chao WH, Lin SH, Chen YY (2009) A vision-based analysis system for gait recognition in patients with Parkinson’s disease. Expert Syst Appl 36(3):7033–7039

    Google Scholar 

  39. Pachoulakis I, Kourmoulis K (2014) Building a gait analysis framework for Parkinson’s disease patients: motion capture and skeleton 3D representation. In: 2014 international conference on telecommunications and multimedia (TEMU). IEEE, pp 220–225

  40. Galna B, Barry G, Jackson D, Mhiripiri D, Olivier P, Rochester L (2014) Accuracy of the microsoft kinect sensor for measuring movement in people with Parkinson’s disease. Gait & Posture 39 (4):1062–1068

    Google Scholar 

  41. Dror B, Yanai E, Frid A, Peleg N, Goldenthal N, Schlesinger I, et al. (2014) Automatic assessment of Parkinson’s disease from natural hands movements using 3D depth sensor. In: 2014 IEEE 28th convention of electrical & electronics engineers in israel (IEEEI). IEEE, pp 1–5

  42. Dyshel M, Arkadir D, Bergman H, Weinshall D (2015) Quantifying levodopa-induced dyskinesia using depth camera. In: Proceedings of the IEEE international conference on computer vision workshops, pp 119–126.

  43. Antonio-Rubio I, Madrid-Navarro C, Salazar-López E, Pérez-Navarro M, Sáez-Zea C, Gómez-Milán E, et al. (2015) Abnormal thermography in Parkinson’s disease. Parkinsonism Relat Disord 21 (8):852–857

    Google Scholar 

  44. Song J, Sigward S, Fisher B, Salem GJ (2012) Altered dynamic postural control during step turning in persons with early-stage Parkinson’s disease. Parkinson’s Disease 2012

  45. Foreman K, Wisted C, Addison O, Marcus R, LaStayo P, Dibble L (2012) Improved dynamic postural task performance without improvements in postural responses: the blessing and the curse of dopamine replacement. Parkinson’s Disease 2012

  46. Muniz A, Liu H, Lyons K, Pahwa R, Liu W, Nobre F, et al. (2010) Comparison among probabilistic neural network, support vector machine and logistic regression for evaluating the effect of subthalamic stimulation in Parkinson disease on ground reaction force during gait. J Biomech 43(4):720–726

    Google Scholar 

  47. Vaugoyeau M, Viallet F, Mesure S, Massion J (2003) Coordination of axial rotation and step execution: deficits in Parkinson’s disease. Gait & Posture 18(3):150–157

    Google Scholar 

  48. Su B, Song R, Guo L, Yen CW (2015) Characterizing gait asymmetry via frequency sub-band components of the ground reaction force. Biomed Signal Process Control 18:56–60

    Google Scholar 

  49. Zeng W, Liu F, Wang Q, Wang Y, Ma L, Zhang Y (2016) Parkinson’s disease classification using gait analysis via deterministic learning. Neurosci Lett 633:268–278

    Google Scholar 

  50. Daliri MR (2012) Automatic diagnosis of neuro-degenerative diseases using gait dynamics. Measurement 45(7):1729– 1734

    Google Scholar 

  51. Joshi D, Khajuria A, Joshi P (2017) An automatic non-invasive method for Parkinson’s disease classification. Comput Methods Prog Biomed 145:135–145

    Google Scholar 

  52. Frenkel-Toledo S, Giladi N, Peretz C, Herman T, Gruendlinger L, Hausdorff JM (2005) Treadmill walking as an external pacemaker to improve gait rhythm and stability in Parkinson’s disease. Movement Disorders: Official Journal of the Movement Disorder Society 20(9):1109–1114

    Google Scholar 

  53. Hausdorff JM, Lowenthal J, Herman T, Gruendlinger L, Peretz C, Giladi N (2007) Rhythmic auditory stimulation modulates gait variability in Parkinson’s disease. Eur J NeuroSci 26(8):2369–2375

    Google Scholar 

  54. Jang JSR (1993) ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst, Man, Cybern 23(3):665–685. https://doi.org/10.1109/21.256541

    Google Scholar 

  55. de Jesus Rubio J (2009) SOFMLS: online self-organizing fuzzy modified least-squares network. IEEE Trans Fuzzy Syst 17(6):1296–1309. https://doi.org/10.1109/tfuzz.2009.2029569

    Article  Google Scholar 

  56. Malek H, Ebadzadeh MM, Rahmati M (2012) Three new fuzzy neural networks learning algorithms based on clustering, training error and genetic algorithm. Appl Intell 37(2):280–289

    Google Scholar 

  57. Ebadzadeh MM, Salimi-Badr A (2015) CFNN: correlated fuzzy neural network. Neurocomputing 148:430–444. https://doi.org/10.1016/j.neucom.2014.07.021

    Google Scholar 

  58. Ebadzadeh MM, Salimi-Badr A (2018) IC-FNN: a novel fuzzy neural network with interpretable, intuitive, and correlated-contours fuzzy rules for function approximation. IEEE Trans Fuzzy Syst 26(3):1288–1302

    Google Scholar 

  59. Salimi-Badr A, Ebadzadeh MM (2022) A novel Self-Organizing fuzzy neural network to learn and mimic habitual sequential tasks. IEEE Trans Cybern 52(1):323–332

    Google Scholar 

  60. Salimi-Badr A, Ebadzadeh M, Darlot C (2017) Fuzzy neuronal model of motor control inspired by cerebellar pathways to online and gradually learn inverse biomechanical functions in the presence of delay. Biol Cybern 111(5-6):421–438. https://doi.org/10.1007/s00422-017-0735-9

    MathSciNet  MATH  Google Scholar 

  61. Salimi-Badr A, Ebadzadeh MM (2022) A novel learning algorithm based on computing the rules’ desired outputs of a TSK fuzzy neural network with non-separable fuzzy rules. Neurocomputing 470:139–153. https://doi.org/10.1016/j.neucom.2021.10.103

    Article  Google Scholar 

  62. Salimi-Badr A (2022) IT2CFNN: an interval type-2 correlation-aware fuzzy neural network to construct non-separable fuzzy rules with uncertain and adaptive shapes for nonlinear function approximation. Appl Soft Comput 115:108258. https://doi.org/10.1016/j.asoc.2021.108258

    Google Scholar 

  63. Bencherif A, Chouireb F (2019) A recurrent TSK interval type-2 fuzzy neural networks control with online structure and parameter learning for mobile robot trajectory tracking. Appl Intell 49(11):3881–3893. https://doi.org/10.1007/s10489-019-01439-y

    Google Scholar 

  64. Eyoh I, John R, De Maere G, Kayacan E (2018) Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems. IEEE Trans Fuzzy Syst 26 (5):2672–2685. https://doi.org/10.1109/TFUZZ.2018.2803751

    Article  Google Scholar 

  65. Hausdorff JM, Rios DA, Edelberg HK (2001) Gait variability and fall risk in community-living older adults: a 1-year prospective study. Arch Phys Med Rehabil 82(8):1050–1056

    Google Scholar 

  66. Frenkel-Toledo S, Giladi N, Peretz C, Herman T, Gruendlinger L, Hausdorff JM (2005) Effect of gait speed on gait rhythmicity in Parkinson’s disease: variability of stride time and swing time respond differently. J Neuroeng Rehabilitation 2(1):1–7

    Google Scholar 

  67. Mamdani EH (1997) Application of fuzzy logic to approximate reasoning using linguistic synthesis. IEEE T Computers (12):1182–1191

  68. Biglarbegian M, Melek WW, Mendel JM (2011) Design of novel interval type-2 fuzzy controllers for modular and reconfigurable robots: theory and experiments. IEEE Trans Ind Electron 58(4):1371–1384. https://doi.org/10.1109/TIE.2010.2049718

    Article  Google Scholar 

  69. Biglarbegian M, Melek WW, Mendel JM (2011) On the robustness of type-1 and interval type-2 fuzzy logic systems in modeling. Inf Sci 181(7):1325–1347

    MathSciNet  MATH  Google Scholar 

  70. Khanesar MA, Mendel JM (2016) Maclaurin series expansion complexity-reduced center of sets type-reduction + defuzzification for interval type-2 fuzzy systems. In: 2016 IEEE international conference on fuzzy systems (FUZZ-IEEE), pp 1224–1231

  71. Mendel JM (2017) Uncertain rule-based fuzzy systems. Introduction and new directions, p 684

  72. Karnik NN, Mendel JM (2001) Centroid of a type-2 fuzzy set. Inform Sci 132(1):195–220. https://doi.org/10.1016/S0020-0255(01)00069-X

    MathSciNet  MATH  Google Scholar 

  73. Wu D, Mendel JM (2009) Enhanced Karnik–Mendel algorithms. IEEE Trans Fuzzy Syst 17 (4):923–934

    Google Scholar 

  74. Juang CF, Tsao YW (2008) A self-evolving interval type-2 fuzzy neural network with online structure and parameter learning. IEEE Trans Fuzzy Syst. 16(6):1411–1424

    Google Scholar 

  75. Juang CF, Huang RB, Cheng WY (2010) An interval type-2 fuzzy-neural network with support-vector regression for noisy regression problems. IEEE Trans Fuzzy Syst 18(4):686–699

    Google Scholar 

  76. Pratama M, Lu J, Lughofer E, Zhang G, Er MJ (2017) An incremental learning of concept drifts using evolving type-2 recurrent fuzzy neural networks. IEEE Trans Fuzzy Syst 25(5):1175–1192

    Google Scholar 

  77. Juang CF, Wang PH (2015) An interval type-2 neural fuzzy classifier learned through soft margin minimization and its human posture classification application. IEEE Trans Fuzzy Syst 23(5):1474–1487. https://doi.org/10.1109/TFUZZ.2014.2362547

    Article  Google Scholar 

  78. Baklouti N, Abraham A, Alimi AM (2018) A beta basis function interval type-2 fuzzy neural network for time series applications. Eng Appl Artif Intell 71:259–274. https://doi.org/10.1016/j.engappai.2018.03.006

    Google Scholar 

  79. Das AK, Subramanian K, Sundaram S (2015) An evolving interval type-2 neurofuzzy inference system and its metacognitive sequential learning algorithm. IEEE Trans Fuzzy Syst 23(6):2080–2093. https://doi.org/10.1109/TFUZZ.2015.2403793

    Article  Google Scholar 

  80. Takagi T, Sugeno M (1985) Fuzzy identification of systems and its applications to modeling and control. IEEE Trans Syst Man SMC-15(1):116–132

    MATH  Google Scholar 

  81. Marquardt DW (1963) An algorithm for least-squares estimation of nonlinear parameters. J Soc Ind Appl Math 11(2):431–441. https://doi.org/10.1137/0111030

    Article  MathSciNet  MATH  Google Scholar 

  82. Hagan MT, Menhaj MB (1994) Training feedforward networks with the Marquardt algorithm. IEEE Trans Neural Netw 5(6):989–993. https://doi.org/10.1109/72.329697

    Article  Google Scholar 

  83. Rubio JdJ (2021) Stability analysis of the modified Levenberg–Marquardt algorithm for the artificial neural network training. IEEE Trans Neural Netw Learn Syst 32(8):3510–3524. https://doi.org/10.1109/TNNLS.2020.3015200

    Article  MathSciNet  Google Scholar 

  84. Goodfellow I, Bengio Y, Courville A (2016) Deep learning. MIT Press, Cambridge. http://www.deeplearningbook.org

    MATH  Google Scholar 

  85. Boyd S, Boyd S P, Vandenberghe L. (2004) Convex optimization. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  86. Ertugrul OF, Kaya Y, Tekin R, Almali MN (2016) Detection of Parkinson’s disease by shifted one dimensional local binary patterns from gait. Expert Syst Appl 56:156–163. https://doi.org/10.1016/j.eswa.2016.03.018

    Article  Google Scholar 

  87. Wu Y, Chen P, Luo X, Wu M, Liao L, Yang S, et al. (2017) Measuring signal fluctuations in gait rhythm time series of patients with Parkinson’s disease using entropy parameters. Biomed Signal Process Control 31:265–271. https://doi.org/10.1016/j.bspc.2016.08.022

    Article  Google Scholar 

  88. Ozyegen O, Ilic I, Cevik M (2021) Evaluation of interpretability methods for multivariate time series forecasting. Appl Intell. https://doi.org/10.1007/s10489-021-02662-2

  89. Sánchez-Garzón I, González-Ferrer A, Fernández-Olivares J (2013) A knowledge-based architecture for the management of patient-focused care pathways. Appl Intell 40 (3):497–524. https://doi.org/10.1007/s10489-013-0466-0

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Armin Salimi-Badr.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Salimi-Badr, A., Hashemi, M. & Saffari, H. A type-2 neuro-fuzzy system with a novel learning method for Parkinson’s disease diagnosis. Appl Intell 53, 15656–15682 (2023). https://doi.org/10.1007/s10489-022-04276-8

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10489-022-04276-8

Keywords

Navigation