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Challenges of building clinical biomarkers from...

Challenges of building clinical biomarkers from M/EEG: multimodal modeling with missing data and robust regression on power spectra

Feindel Lecture July 15 2020 at the Montreal Neurological Institute

Speaker: Dr. Denis A. Engemann, research scientist at the French National Institute for Digital Science and Technology, Parietal project team, Inria-Saclay

Title: Challenges of building clinical biomarkers from M/EEG: multimodal modeling with missing data and robust regression on power spectra

In clinical neuroscience, success often depends on reading out multiple modalities, i.e., brain images and physiological signals. However, clinical reality often sets limits on data availability. Is combining multiple modalities for predictive modeling worth the extra effort when data is regularly incomplete? In [1], we proposed a multi-modal machine learning model with explicit support for handling missing modalities. Combining MRI, fMRI and magnetoencephalography on the Cam-CAN database not only significantly enhanced age prediction but also facilitated detection of age-related cognitive decline captured by the estimated brain age delta. In, particular, combining MEG with MRI yielded enhanced detection of changes in fluid intelligence, sleep quality and memory function, highlighting the complementarity of these distinct biomedical signals. Strikingly, the added value of MEG was best explained by relatively simple features, i.e., the spatial distribution of fast brain rhythms in the beta/alpha range. These results potentially open the door to clinical translation via EEG-technology that is widely available in the hospital setting.
Unfortunately, MRI scans are not always available, closing the door to source modeling with individual anatomy. What then? Call linear models for rescue? While very effective for regressing biomedical outcomes on M/EEG signals, they fail systematically if the cortical generator of an observed behavior is oscillatory. In that case, volume conduction induces distortions on extracranial signals mitigating the applicability of linear models. However, accurate modeling volume conduction depends on the availability of individual MRIs in the first place. In [2,3] we demonstrate through mathematical analysis, simulations and prediction of age from MEG (Cam-CAN) and EEG (Temple University Hospital) how to, nevertheless, construct predictive linear models in different data generating scenarios. We conclude that Riemannian geometry offers a practical alternative to source localization when predicting from power spectra, potentially enabling end-to-end learning without preprocessing.
References

[1] Engemann, DA., Kozynets, O., Sabbagh, D., Lemaitre, G., Varoquaux, G., Liem, F., & Gramfort, A. (2020). Combining magnetoencephalography with MRI enhances learning of surrogate-biomarkers. eLife. 9:e54055. 10.7554/eLife.54055

[2] Sabbagh, D., Ablin, P., Varoquaux, G., Gramfort, A., & Engemann, DA. (2019). Manifold-regression to predict from MEG/EEG brain signals without source modeling. In H. Wallach, H. Larochelle, A. Beygelzimer, F. Alché-Buc, E. Fox, & R. Garnett (Eds.), Advances in Neural Information Processing Systems 32 (pp. 7321–7332).

[3] Sabbagh, D., Ablin, P., Varoquaux, G., Gramfort, A., & Engemann, DA. (2020 ). Predictive regression modeling with MEG/EEG: from source power to signals and cognitive states. NeuroImage. https://doi.org/10.1016/j.neuroimage.2020.116893

Denis A. Engemann

July 15, 2020
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  1. Denis A. Engemann, PhD 7/15/20 MNI Challenges of building clinical

    biomarkers from M/EEG Multimodal modeling with missing data and robust regression on power spectra [email protected] www.denis-engemann.de github: @dengemann twitter: @dngman
  2. Woo et al. 2017 Nat Neuro Rev. Predicting clinical endpoints

    from multiple brain signals Mass-Univariate statistics Combine multiple inputs into single prediction Too many models … AI! Yeah!
  3. Woo et al. 2017 Nat Neuro Rev. Predicting clinical endpoints

    from multiple brain signals Mass-Univariate statistics Combine multiple inputs into single prediction AI !! Too many models …
  4. Bzdok, Engemann et al. 2018 bioRxiv [https://github.com/banilo/inf_vs_pred_2018/] Caveat: inference is

    not prediction Significance does not imply that prediction will work!
  5. Challenge: Predicting a precious clinical outcome •Problem: few / expensive

    data on outcome e.g. cognitive decline •Brain Age Delta = predicted age (PAD) - passport age
 •Precocious aging induces cognitive dysfunction (CD) and risk of mortality
 •Typically estimated with MRI!
  6. •Problem: few / expensive data on outcome e.g. cognitive decline

    •Idea: Predict widely available outcome; exploit correlation with the outcome of interest, e.g. age •Brain Age Delta = predicted age (PAD) - passport age
 •Precocious aging induces cognitive dysfunction (CD) and risk of mortality
 •Typically estimated with MRI! Challenge: Predicting a precious clinical outcome
  7. Solution: Surrogate Biomarker e.g. Brain Age Cole et al. Mol.

    Psych. 2018 •Problem: few / expensive data on outcome e.g. cognitive decline •Idea: Predict widely available outcome; exploit correlation with the outcome of interest, e.g. age •Brain Age Delta = predicted age (PAD) - passport age
 •Precocious aging induces cognitive dysfunction (CD) and risk of mortality
 •Typically estimated with MRI!
  8. •Problem: few / expensive data on outcome e.g. cognitive decline

    •Idea: Predict widely available outcome; exploit correlation with the outcome of interest, e.g. age •Brain Age Delta = predicted age (PAD) - passport age
 •High PAD is not good … •Typically estimated with MRI! Cole et al. Mol. Psych. 2018 Liem et al 2017 NIMG Liem et al 2017 NIMG Solution: Surrogate Biomarker e.g. Brain Age
  9. Shall we bother about M/EEG? Brookes et al. 2011, PNAS

    fMRI resting state networks can be reconstructed from MEG Historically strong emphasis on similarities between M/EEG and fMRI
  10. Shall we bother about M/EEG? Hipp & Siegel 2015, Curr.

    Biol. BOLD and MEG show spatial correlations across many frequency bands. Historically strong emphasis on similarities between M/EEG and fMRI
  11. But perhaps … Kumral et al. 2020 NIMG BOLD and

    EEG signal variability at rest differently relate to aging.
  12. But perhaps we should … Nentwich et al. 2020 NIMG

    fMRI and EEG connectivity is different.
  13. 1e−28 1e−27 1e−26 1 3 10 30 Frequecy (Hz) log10(MEG2)

    age group (17.9,28] (28,38] (38,48] (48,58] (58,68] (68,78] (78,88.1] What MEG features shall we use?
  14. 1e−28 1e−27 1e−26 1 3 10 30 Frequecy (Hz) log10(MEG2)

    age group (17.9,28] (28,38] (38,48] (48,58] (58,68] (68,78] (78,88.1] α-power Engemann 2018 Brain What MEG features shall we use?
  15. Engemann, Raimondo, …, Dehaene & Sitt, Brain, 2018 Alpha band

    power enables EEG-based cross-site classification in disorders of consciousness.
  16. 1e−28 1e−27 1e−26 1 3 10 30 Frequecy (Hz) log10(MEG2)

    age group (17.9,28] (28,38] (38,48] (48,58] (58,68] (68,78] (78,88.1] α-peak α-power Babiloni 2006 HBM Engemann 2018 Brain Age prediction: Which M/EEG features?
  17. 1e−28 1e−27 1e−26 1 3 10 30 Frequecy (Hz) log10(MEG2)

    age group (17.9,28] (28,38] (38,48] (48,58] (58,68] (68,78] (78,88.1] α-peak Power topography Gaubert 2019 Brain Fruehwirt 2017 NeurIPS workshop α-power Babiloni 2006 HBM Engemann 2018 Brain Age prediction: Which M/EEG features?
  18. 1e−28 1e−27 1e−26 1 3 10 30 Frequecy (Hz) log10(MEG2)

    age group (17.9,28] (28,38] (38,48] (48,58] (58,68] (68,78] (78,88.1] 1/f fits Voytek et al. 2015 JoN α-peak Power topography Gaubert 2019 Brain Fruehwirt 2017 NeurIPS workshop α-power Babiloni 2006 HBM Engemann 2018 Brain Age prediction: Which M/EEG features?
  19. 1e−28 1e−27 1e−26 1 3 10 30 Frequecy (Hz) log10(MEG2)

    age group (17.9,28] (28,38] (38,48] (48,58] (58,68] (68,78] (78,88.1] 1/f fits Voytek et al. 2015 JoN α-peak Power topography Gaubert 2019 Brain Fruehwirt 2017 NeurIPS workshop α-power Babiloni 2006 HBM Engemann 2018 Brain Other classical features • Evoked latency (Price 2017 Nat Coms) • 1/f topography Age prediction: Which M/EEG features?
  20. 1e−28 1e−27 1e−26 1 3 10 30 Frequecy (Hz) log10(MEG2)

    age group (17.9,28] (28,38] (38,48] (48,58] (58,68] (68,78] (78,88.1] 1/f fits Voytek et al. 2015 JoN α-peak Power topography Gaubert 2019 Brain Fruehwirt 2017 NeurIPS workshop α-power Babiloni 2006 HBM Engemann 2018 Brain Other classical features • Evoked latency (Price 2017 Nat Coms) • 1/f topography Age prediction: Which M/EEG features? Possible enhancement: Analyze power in source space!
  21. Objective: predict target fro x Sabbagh et al. 2019 (NeurIPS)

    2020 (NIMG) How to build MEG-based regression models?
  22. Objective: predict target fro x Sabbagh et al. 2019 (NeurIPS)

    2020 (NIMG) Use AI ? How to build MEG-based regression models?
  23. Objective: predict target fro x Sabbagh et al. 2019 (NeurIPS)

    2020 (NIMG) Use AI ? NOPE How to build MEG-based regression models?
  24. z ? Objective: predict target from M/EEG Neurophysiological genera or

    Maxwell's eq. neural mechanism Sabbagh et al. 2019 (NeurIPS) 2020 (NIMG) Primary currents How to build MEG-based regression models?
  25. How to build MEG-based regression models? z s ? Objective:

    predict target from M/EEG Neurophysiological genera or a is ical o el statistical sources Maxwell's eq. neural mechanism Sabbagh et al. 2019 (NeurIPS) 2020 (NIMG)
  26. z s ? Objective: predict target from M/EEG Neurophysiological genera

    or a is ical o el statistical sources M/EEG signals Maxwell's eq. neural mechanism Sabbagh et al. 2019 (NeurIPS) 2020 (NIMG) How to build MEG-based regression models?
  27. How to build an MEG-base regression model? z s ?

    Objective: predict target from M/EEG Neurophysiological genera or a is ical o el biomedical outcome statistical sources M/EEG signals Maxwell's eq. neural mechanism Sabbagh et al. 2019 (NeurIPS) 2020 (NIMG)
  28. z s ? Objective: predict target from M/EEG Neurophysiological genera

    or a is ical o el biomedical outcome statistical sources M/EEG signals Maxwell's eq. neural mechanism f log s Sabbagh et al. 2019 (NeurIPS) 2020 (NIMG) How to build MEG-based regression models?
  29. And is it worth the effort? Multimodal input data anatomical

    MRI functional MRI MEG Layer I: Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B Multimodal input data anatomical MRI functional MRI MEG Layer I: Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B 2 1 2 21 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 true age 2 21 true age 2 1 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 Engemann et al. 2020 eLife Stacking method: Wolpert 1992, Liem et al. 2017, NIMG; Karrer et al. 2019, HBM, … How shall we combine MEG with MRI?
  30. Multimodal input data anatomical MRI functional MRI MEG Layer I:

    Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B Multimodal input data anatomical MRI functional MRI MEG Layer I: Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B 2 1 2 21 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 true age 2 21 true age 2 1 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 Engemann et al. 2020 eLife Stacking method: Wolpert 1992, Liem et al. 2017, NIMG; Karrer et al. 2019, HBM, … And is it worth the effort? How shall we combine MEG with MRI?
  31. Multimodal input data anatomical MRI functional MRI MEG Layer I:

    Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B Multimodal input data anatomical MRI functional MRI MEG Layer I: Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B 2 1 2 21 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 true age 2 21 true age 2 1 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 Engemann et al. 2020 eLife Stacking method: Wolpert 1992, Liem et al. 2017, NIMG; Karrer et al. 2019, HBM, … And is it worth the effort? How shall we combine MEG with MRI?
  32. Multimodal input data anatomical MRI functional MRI MEG Layer I:

    Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B Multimodal input data anatomical MRI functional MRI MEG Layer I: Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B 2 1 2 21 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 true age 2 21 true age 2 1 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 Engemann et al. 2020 eLife Stacking method: Wolpert 1992, Liem et al. 2017, NIMG; Karrer et al. 2019, HBM, … And is it worth the effort? How shall we combine MEG with MRI?
  33. Is it worth the effort? Multimodal input data anatomical MRI

    functional MRI MEG Layer I: Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B Multimodal input data anatomical MRI functional MRI MEG Layer I: Ridge Regression Age predictions Missing value coding Layer II: Random Forest Regressor tree = 1 tree = 1 subject #i age = 50 age #i = 53 age = 57 age = 5 tree = ... tree = B 2 1 2 21 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 true age 2 21 true age 2 1 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 Engemann et al. 2020 eLife Stacking method: Wolpert 1992, Liem et al. 2017, NIMG; Karrer et al. 2019, HBM, … How shall we combine MEG with MRI?
  34. Predicting brain age from MRI & MEG enhances predictive performance

    & cognitive phenotyping Engemann et al. (2020) eLife - Cam-CAN dataset 4.7 5.1 5.2 6.0 −3.0 −2.5 −2.0 −1.5 −1.0 −0.5 0.0 0.5 1.0 1.5 MAE difference (years) Multimodal stacking m ro ement o er anatomical M M fM ME M fM M ME M no M anat. M anat. added 0 10 20 30 0 10 20 30 0 10 20 30 MAEfM (years) MAEME (years) age 20 40 60 0 A B
  35. Engemann et al. (2020) eLife - Cam-CAN dataset 4.7 5.1

    5.2 6.0 −3.0 −2.5 −2.0 −1.5 −1.0 −0.5 0.0 0.5 1.0 1.5 MAE difference (years) Multimodal stacking m ro ement o er anatomical M M fM ME M fM M ME M no M anat. M anat. added 0 10 20 30 0 10 20 30 0 10 20 30 MAEfM (years) MAEME (years) age 20 40 60 0 A B Predicting brain age from MRI & MEG enhances predictive performance & cognitive phenotyping
  36. What aspects of MEG are most influential? Peaks - Latencies

    - 1/f - Power - Connectivity Engemann et al. 2020 eLife α βlow βlow βlow Ecat Pcat 10 15 0.01 0.10 1.00 Variable importance (MAE) MAE (years) family source activity source connectivity sensor mixed input/feature si nal envelope 1 f slope α pea E lat B predictin y ensor Mixed 1 15 1
  37. What if some modalities are (sometimes) missing? opportunistic missing value

    handling Engemann et al. 2020 eLife on Age predictions Missing value coding Layer II: Random Forest Regressor on Age predictions Missing value coding Layer II: Random Forest Regressor 2 1 2 21 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 true age 2 21 true age 2 1 A A A A 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 2 1 1e 1e 1e 1e 1 2 2 2 21 1 1 4.4 4.6 4.6 4.7 8.6 14.6 MRI fMRI fMRI MEGsens MRI fMRI MEG MRI fMRI MEGsens MEG MEGsens 0 10 20 30 MAE Available inputs A B
  38. Interim-Summary 1. MEG contains unique information on cognitive aging 2.

    MEG source power is a good feature 3. Tree-based methods bring flexible handling of NA’s
  39. Interim-Summary 1. MEG contains unique information on cognitive aging 2.

    MEG source power is a good feature 3. Tree-based methods bring flexible handling of NA’s Limitations: What we find in most hospitals looks a bit different … do I need MEG + MRI for source localization ?
  40. M/EEG Covariance Matrix: var(Xi ) = diag(Ci ) ∈ ℝP

    Power is variance Ci = Xi X⊤ i /T ∈ ℝP×P
  41. M/EEG Covariance Matrix: Power is variance var(Xi ) = diag(Ci

    ) ∈ ℝP Ci = Xi X⊤ i /T ∈ ℝP×P “diag” — our baseline representation!
  42. Predicting from M/EEG source power Without biophysical source localization z

    s ? Objective: predict target from M/EEG Neurophysiological genera or a is ical o el biomedical outcome statistical sources M/EEG signals Maxwell's eq. neural mechanism f log s Problem: field spread is evil. Sabbagh et al. 2019 (NeurIPS) 2020 (NIMG) Ci = Xi X⊤ i /T ∈ ℝP×P Use cov. as representation
  43. Predicting from M/EEG source power Without biophysical source localization z

    s ? Objective: predict target from M/EEG Neurophysiological genera or a is ical o el biomedical outcome statistical sources M/EEG signals Maxwell's eq. neural mechanism f log s Problem: field spread is evil. Idea: get immunized against this evil Sabbagh et al. 2019 (NeurIPS) 2020 (NIMG) Take out volume conduction using Riemannian embeddings, or spatial filters Ci = Xi X⊤ i /T ∈ ℝP×P Use cov. as representation logm ( ¯ C−1/2Ci ¯ C−1/2)
  44. Simulations Are shortcuts — in principle — possible? Sabbagh et

    al. 2019 (NeurIPS) 2020 (NIMG) distance from identity chance level 0.00 0.25 0.50 0.75 1.00 0.0 0.5 1.0 1.5 2.0 2.5 3.0 µ Normalized MAE noise on target 0.00 0.25 0.50 0.75 1.00 0.01 0.10 1.00 10.00 σ 0.00 0.25 0.50 0.75 1.00 upper diag S o iemann noise on mi ing matri 0.01 0.10 1.00 σ z s ? Objective: predict target from M/EEG Neurophysiological genera or a is ical o el biomedical outcome statistical sources M/EEG signals Maxwell's eq. neural mechanism f log s
  45. Empirical benchmarks How do these models compare with real data

    and unknown degrees model violations? Sabbagh et al. 2020 (NIMG) 7.98 8.11 8.76 8.76 9.17 10.89 predicting age Riemann53 Riemann SPoC67 SPoC diag upper 8 10 12 14 16 MAE upper diag SPoC Riemann MEG — sensor space MEG — source space
  46. Empirical benchmarks How do these models compare with real data

    and unknown degrees model violations? Sabbagh et al. 2020 (NIMG) 7.98 8.11 8.76 8.76 9.17 10.89 predicting age Riemann53 Riemann SPoC67 SPoC diag upper 8 10 12 14 16 MAE upper diag SPoC Riemann MEG — sensor space MEG — source space Q: Do we expect the same ranking?
  47. Empirical benchmarks How do these models compare with real data

    and unknown degrees model violations? Sabbagh et al. 2020 (NIMG) 7.69 9.50 10.98 11.67 11.86 12.46 predicting age diag Riemann11 Riemann upper SPoC20 SPoC 5.0 7.5 10.0 12.5 15.0 17.5 MAE upper diag SPoC Riemann 7.98 8.11 8.76 8.76 9.17 10.89 predicting age Riemann53 Riemann SPoC67 SPoC diag upper 8 10 12 14 16 MAE upper diag SPoC Riemann MEG — sensor space MEG — source space Observations: (1) the baseline model is the best in source space
  48. Empirical benchmarks How do these models compare with real data

    and unknown degrees model violations? Sabbagh et al. 2020 (NIMG) 7.69 9.50 10.98 11.67 11.86 12.46 predicting age diag Riemann11 Riemann upper SPoC20 SPoC 5.0 7.5 10.0 12.5 15.0 17.5 MAE upper diag SPoC Riemann 7.98 8.11 8.76 8.76 9.17 10.89 predicting age Riemann53 Riemann SPoC67 SPoC diag upper 8 10 12 14 16 MAE upper diag SPoC Riemann MEG — sensor space MEG — source space Observations: (1) the baseline model is the best in source space (2) Riemannian embeddings get closest to results with source localization
  49. Empirical benchmarks How do these models compare with real data

    and unknown degrees model violations? Sabbagh et al. 2020 (NIMG) 7.98 8.11 8.76 8.76 9.17 10.89 predicting age Riemann53 Riemann SPoC67 SPoC diag upper 8 10 12 14 16 MAE upper diag SPoC Riemann MEG — sensor space EEG— sensor space (TUH data, n=1385) Q: Can we get similar results on 21-chan. EEG as compared to 306-chan. MEG?
  50. Empirical benchmarks How do these models compare with real data

    and unknown degrees model violations? Sabbagh et al. 2020 (NIMG) 8.21 8.27 9.63 10.72 predicting age Riemann19 Riemann SPoC21 diag upper 5.0 7.5 10.0 12.5 15.0 MAE upper diag SPoC Riemann 7.98 8.11 8.76 8.76 9.17 10.89 predicting age Riemann53 Riemann SPoC67 SPoC diag upper 8 10 12 14 16 MAE upper diag SPoC Riemann MEG — sensor space EEG— sensor space (TUH data, n=1385) EEG can in principle be substituted for MEG
  51. Summary What shall I remember? 1. MEG contains unique information

    on cognitive aging 2. MEG source power is a good feature 3. Tree-based methods bring flexible handling of NA’s 4. Statistical-mathematical shortcuts can help avoid source localization 5. EEG may be substituted for MEG (when predicting age)
  52. Resources - scalable processing of M/EEG data Jas, Engemann, et

    al. (2017) NIMG http://autoreject.github.io http://mne.tools
  53. Resources - scalable processing of M/EEG data http://autoreject.github.io Covariance estimation:

    Engemann & Gramfort (2015) NIMG Jas, Engemann, et al. (2017) NIMG http://mne.tools
  54. Resources - scalable processing of M/EEG data http://autoreject.github.io Covariance estimation:

    Engemann & Gramfort (2015) NIMG https://mne.tools/mne-hcp/ Jas, Engemann, et al. (2017) NIMG http://mne.tools
  55. Resources - scalable processing of M/EEG data http://autoreject.github.io http://mne.tools Covariance

    estimation: Engemann & Gramfort (2015) NIMG https://mne.tools/mne-r/ https://mne.tools/mne-hcp/ Jas, Engemann, et al. (2017) NIMG
  56. Thank you! Oleh Kozynets Guillaume Lemaître David Sabbagh Pierre Ablin

    Franz Liem Gaël Varoquaux Alexandre Gramfort Contact [email protected] www.denis-engemann.de github: @dengemann twitter: @dngman Danilo Bzdok Bertrand Thirion