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REVIEW 3 major objections 5 minor 18 references

EEG-fused Digital Twin Brain for Autonomous Driving in Virtual Scenarios

T0 review · 3 major / 5 minor · reviewed 2026-08-06 · deepseek-v4-flash

Pith's one-line read This paper claims that a digital twin brain built from structural MRI and tuned with EEG can generate simulated EEG that decodes steering angles well enough to drive a virtual car through curves.

desk verdict An ambitious, technically detailed pipeline whose headline brain-to-behavior claim is unsupported because the simulated test EEG is generated from the same empirical test EEG used in the decoding comparison. read the letter →

arxiv 2507.12263 v1 pith:X4X6R67G submitted 2025-07-16 q-bio.NC

classification q-bio.NC MSC 62F1592C20
keywords EEGdigitaltwinbraindataassimilationBayesianinferencespikingneuronalnetworkbrain-inspiredcontroldecodingvirtualdriving
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper tries to establish that a biologically realistic simulation of one person's brain—built from structural MRI and tuned to that person's EEG—can generate EEG-like signals that carry enough information to steer a virtual car through curves. The headline numbers are a 0.88 correlation between simulated and recorded EEG at rest and 0.60 during the driving task, with steering angles decoded from the simulated task-state signals beating both chance and the driver's own recorded EEG (p<0.05). If those numbers hold, the practical consequence is a complete brain-to-behavior loop: EEG provides millisecond-resolution guidance for a continuous sensorimotor task, and the internal spiking dynamics of the model remain open to inspection. A sympathetic reader would take the central claim to be that the model has captured steering-relevant neural dynamics, not just the statistical texture of EEG.

What carries the argument

The load-bearing object is the Regularized-HDA algorithm, a Bayesian data-assimilation method that estimates voxel-level synaptic-conductance hyperparameters by alternating between simulating a spiking network and filtering its state against 63-channel EEG. Its defining ingredient is a Laplacian regularization term built from a voxel-to-electrode assignment: each cortical voxel is assigned to the electrode to which it is most sensitive through the lead-field matrix, and the penalty pulls each voxel's hyperparameter toward the mean of its electrode group. This term enters the Kalman filter's cost function and yields a modified Kalman-gain update, which is what makes the inverse problem—over 10,000 hyperparameters from 63 electrodes—tractable. The machinery also includes an MRI-constrained forward model that projects simulated postsynaptic currents to scalp EEG through a boundary-element head model, and an EEGNet-LSTM decoder that turns one-second EEG patches into steering angles.

What would settle it

Train the steering decoder on simulated EEG from the outbound driving sessions and test it on simulated EEG from the inbound session; if prediction error falls to chance, the simulated signals carry session-specific artifacts rather than steering-relevant dynamics. A complementary check is to set the penalty coefficient to zero or randomly permute the voxel-to-electrode assignments and observe whether the resting-state and task-state correlations collapse.

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Extended reading notes

Core claim

The central claim is that EEG and structural MRI can be fused into a whole-brain spiking-neuron model, a 'digital twin brain,' whose simulated EEG reproduces empirical recordings and still serves as a better input for steering-angle decoding than the empirical signals themselves. The paper reports a resting-state correlation of 0.88 and a task-state correlation of 0.60 between simulated and recorded EEG, with task-state decoding errors significantly below both chance and empirical-signal baselines (Wilcoxon signed-rank test, p<0.05), and shows a vehicle in a driving simulation negotiating curves using the decoded angles. On the paper's own terms, this closes the sensorimotor loop: visual-area stimulation currents inferred from task EEG drive postsynaptic currents, an MRI-constrained forward model projects those currents to scalp EEG, and an EEGNet-LSTM decoder converts the simulated EEG into steering commands. The claim is not merely that the EEG looks realistic; it is that the digital twin's simulated dynamics contain behaviorally actionable information along the visual-motor pathway.

Load-bearing premise

The load-bearing premise is that the voxel-to-electrode assignment plus the Laplacian penalty truly resolves the underdetermined inverse problem, so the more than 10,000 per-voxel hyperparameters estimated from 63 EEG channels are stable, meaningful biological parameters; if that fails, the high EEG correlations are memorization and the simulated steering signals are not faithful model outputs.

Editorial extensions

If this is right

  • If the claims hold, simulated EEG from a biologically constrained brain model can substitute for recorded EEG in decoding continuous motor behavior, enabling brain-controlled systems whose control signal comes from an interpretable simulation rather than a black-box network.
  • The Laplacian-regularized Kalman update offers a general way to fit large-scale spiking network parameters from low-spatial-resolution EEG, relevant wherever fMRI is too slow to track rapid task dynamics.
  • The scaling result—100-million and 1-billion neuron networks gave better EEG fidelity and better steering decoding than the 10-million-neuron network—implies that network scale drives the learned dynamics' biological fidelity.
  • The full pipeline demonstrates a brain-to-behavior loop, from EEG-derived visual-area currents through simulated EEG and decoded steering to vehicle control, which the paper proposes as a platform for studying perception-action cycles and building brain-inspired controllers.
  • Because the model exposes both synapse-level parameters and region-level currents, the setup can be inverted to ask which brain regions or synapse types carry which components of a steering decision.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A testable extension is ablation of the visual-area stimulation currents: if steering decoding remains as good when those currents are replaced by matched noise, the perception side of the loop is not doing the work and the steering signal lives elsewhere in the network.
  • The observation that simulated signals decode better than empirical signals suggests the digital twin may act as a denoiser or feature extractor; if true, simulated output could serve as pretraining data for empirical EEG brain-computer interfaces.
  • Because all data come from one participant, the natural generalization test is to rebuild the twin for several individuals and check whether the 0.88/0.60 correlations and the decoding advantage survive without per-subject retuning of the regularization coefficients.
  • A separate extension would swap the leaky integrate-and-fire neurons for conductance-based or Hodgkin-Huxley dynamics; if EEG fidelity and steering decoding do not improve, the simpler neuron model is sufficient and the contribution lies in the assimilation scheme.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The manuscript proposes EEG-DTB, a digital twin brain constructed by integrating structural MRI and diffusion MRI with empirical 63-channel EEG recordings. The pipeline consists of a whole-brain spiking network (LIF neurons, 14,314 voxels), a lead-field-based forward model, a Regularized-HDA algorithm that estimates per-voxel hyperparameters from EEG, and an EEGNet-LSTM decoder that predicts steering angles, which are then used to drive a vehicle in the CARLA simulator. The paper reports resting-state and task-state correlations of 0.88 and 0.60 between simulated and empirical EEG, and claims that simulated task-state EEG yields steering predictions that outperform both chance and empirical EEG. The central problem is that the reported agreement values are computed on the same data used to fit the model, and the task-state decoding comparison is contaminated by leakage of the test session's empirical EEG into the simulated signals through the assimilation procedure. As a result, the paper's main claim of closing a brain-to-behavior loop is not supported by the evidence as presented.

Significance. If the claims were validated, the paper would represent a notable contribution: it combines millisecond-scale EEG with MRI-derived biophysical network modeling, introduces a regularized data-assimilation scheme, and demonstrates a complete simulation-to-behavior pipeline. The manuscript provides reproducible code and data links, a detailed algorithmic description, and a concrete application to autonomous driving, which are strengths. However, the core quantitative evidence is currently in-sample or confounded by data leakage, so the paper's significance as a demonstration of predictive brain simulation is not established. The methodological framework may still be of interest, but the claims of biologically plausible EEG generation and causal steering-information extraction require substantially stronger validation.

major comments (3)
  1. [§3.2, §2.4, Fig. 5B] The task-state decoding comparison is confounded by leakage of the test session's empirical EEG into the simulated test signals. Section 3.2 states that Regularized-HDA assimilates 31,155 time points spanning the complete session duration, and that the resulting currents are used to generate simulated EEG. Section 2.4 then trains EEGNet-LSTM under four-fold cross-validation on 'both simulated and empirical EEG signals,' with one outbound session held out as the test session. For that test session, the simulated signals are not independent predictions: they are produced by fitting the same empirical test-session EEG that contains the steering-related activity being decoded. Any steering-correlated component in the recorded test EEG can be transferred into the simulated test signal by the fitting procedure, and the generative model may act as a denoiser relative to raw EEG. Consequently, the significantly lower MSE/MAE for simulated versus empirical signals in Fig. 5B does not establish that the DTB causally extracts steering information; it may only show that a high-capacity reconstruction of the test recording is easier to decode than the raw recording. The comparison against random-permuted empirical signals is not an adequate control because permutation destroys both the temporal structure and any steering-correlated components. Please provide a validation in which the test session's empirical EEG is not assimilated: for example, generate simulated test-session EEG using hyperparameters estimated from training sessions only, and then decode those simulated signals. Without such out-of-session validation, the central 'brain-to-behavior' claim is unsupported as reported.
  2. [§3.1, §3.2, Fig. 4, Fig. 5A, Table 1] The reported agreement values are in-sample fits, not independent predictions. The resting-state PCC of 0.88 and the task-state PCC of 0.60 (and the entries in Table 1) are computed on the same empirical EEG data that were used to estimate the per-voxel hyperparameters through Regularized-HDA. These values therefore measure how well the model can reproduce its training data, not how well it generates or predicts EEG signals. The abstract's phrase 'biologically-plausible EEG signal generation' implies a generative capacity that is not demonstrated. Please report cross-validated or held-out correlations — for example, fit hyperparameters on one resting-state session and correlate simulated signals with a different resting recording, or fit on seven of the eight driving sessions and evaluate on the eighth — and explicitly state which reported values are training-fit values versus out-of-sample predictions.
  3. [Eq. (7), §1, §4] The claim that the Laplacian regularization in Eq. (7) 'effectively resolved the ill-posed nature' of estimating over 10,000 hyperparameters from 63 EEG channels is not supported by the evidence in the manuscript. The voxel-to-electrode assignment of Eq. (5) and the penalty matrix L do not by themselves guarantee a unique, stable, or physiologically meaningful solution; they are plausible regularization devices, but no identifiability analysis, sensitivity study with respect to the penalty coefficient λ, or synthetic-data experiment with known ground-truth hyperparameters is provided. Without such evidence, the estimated per-voxel hyperparameters may simply be overfit to the 63 electrode recordings, which would explain the in-sample correlations. Please add a synthetic recovery experiment (simulate EEG from known hyperparameters, then estimate them with Regularized-HDA and report recovery error) or an initialization/λ-robustness analysis. This is load-bearing for the claim that the simulated EEG is biologically plausible rather than a highly flexible fit.
minor comments (5)
  1. [§3.2, Fig. 5A, Table 1] There is an inconsistency in the reported task-state correlation: Section 3.2 states a PCC of 0.52 with MRSE 1.89, while the Fig. 5A caption reports a PCC of 0.60 and Table 1 associates 0.52 with the 10-million-neuron model and 0.60 with the 1-billion-neuron model. Please clarify which value corresponds to which network scale and reconcile the abstract and figure caption.
  2. [§3.3] The 'random permuted empirical signals' baseline is not described precisely. Please specify the permutation procedure (e.g., permutation window, whether permutations destroy temporal correlations across the 1-s patches), the number of permutations, and whether the same random seeds are used across network scales.
  3. [§3.3, Fig. 5B] The claim that 100-million and 1-billion-neuron models improve decoding over the 10-million-neuron model is not supported by the reported 95% confidence intervals: the 10M MSE interval [0.0414, 0.0432], 100M [0.0414, 0.0422], and 1B [0.0414, 0.0419] overlap heavily, and no pairwise significance test is reported for these differences.
  4. [§3.3, Fig. 5D] The CARLA driving demonstration is presented only as video frames and a qualitative statement that the vehicle 'successfully navigated through curves.' Please provide quantitative driving metrics, such as lane-keeping error, completion time, or number of off-road events, to substantiate the behavioral claim.
  5. [Appendix A.6] The hardware section lists substantial computational resources but does not state the wall-clock time or memory footprint for each network scale (10M, 100M, 1B neurons); this information would help readers assess the practical cost of the method.

Circularity Check

3 steps flagged · score 7.0 of 10

Task-state simulated-signal steering advantage is confounded by in-session assimilation: simulated test EEG is generated from the same empirical test-session EEG, so the brain-to-behavior claim is not independently supported.

  1. fitted input called prediction [Section 3.1 and Fig. 4 (resting-state EEG-DTB); Eq. (A.19), Appendix A.4.2]
    "The hyperparameters of all voxels were estimated through fitting empirical resting-state EEG signals under millisecond resolution. ... Fig 4 compares the simulated(blue) and empirical(red) EEG signals across three electrodes, demonstrating strong agreement with a PCC of 0.88 and MRSE of 0.007."

    The 0.88 resting-state correlation is computed between the model output and the identical recording used to estimate the per-voxel hyperparameters by Regularized-HDA. No held-out resting data or out-of-sample split is described, so this number is an in-sample fit-quality statistic, not an independent prediction of EEG signal generation. Presenting it as 'biologically-plausible EEG signal generation (0.88 resting-state ... correlation)' in the abstract reduces the claimed capability to the fitting procedure.

  2. fitted input called prediction [Section 3.2 (task-state assimilation), Section 3.3 / Fig. 5B (steering decoding), and Fig. 1 pipeline]
    "The stimulus patterns were derived from task-state EEG data assimilation ... We performed task-state EEG signal assimilation across 31,155 time points, spanning the complete session duration from onset to offset. ... [Section 2.4:] We trained the model in PyTorch using cross-validation (3 outbound sessions for training, 1 for testing) ... [Section 3.3:] Both simulated and empirical EEG signals were segmented as 1-second patches synchronized with steering angles."

    The simulated signals entered into the decoding test are generated by assimilating the empirical task EEG of the session being tested and then projecting the inferred post-synaptic currents through the MRI-constrained forward model. Because the test-session recordings already contain the steering-related neural activity, any such component can be carried into the simulated signal by the assimilation. The reported result that simulated signals give significantly lower MSE/MAE than empirical signals (Fig. 5B) is therefore not evidence that the DTB causally extracts steering information; it may only show that a high-capacity reconstruction of the target-session EEG is easier for EEGNet-LSTM to decode than the raw recording. The comparison is in-sample with respect to the generative model.

1 more flagged steps
  1. fitted input called prediction [Section 3.2, Table 1]
    "Quantitative comparisons between simulated and empirical signals across different network scales (Table 1) reveal that the agreement between simulated and empirical signals improves with network size."

    The PCC values in Table 1 (0.52 to 0.60) are computed against the same task-state EEG that was assimilated to produce the simulated signals. Thus the improvement with network size is a capacity-dependent in-sample fit quality, not an out-of-sample validation that larger networks 'better capture the neural dynamics underlying complex sensorimotor mechanisms' (Section 3.3). This is the same fitted-input issue as the main decoding comparison.

full rationale

The paper is not circular merely because it cites the authors' earlier DTB/HDA work ([13, 18, 23, 26]); that is ordinary self-citation and no uniqueness theorem or forced choice is imported from those papers. The circularity lies in how the headline quantitative claims are computed. The resting-state PCC (0.88) and task-state PCC (0.60/Table 1) are computed on the same empirical recordings that were assimilated to set the model's voxel hyperparameters; they are in-sample fit metrics, not out-of-sample predictions. More importantly, the steering-decoding advantage of simulated over empirical signals is confounded by construction: Section 3.2 assimilates the complete task session's empirical EEG, and Section 3.3 decodes simulated signals generated from those inferred currents in the same cross-validation folds. Any steering-correlated component in the held-out empirical EEG can be transferred into the simulated test signal by the fitting procedure, so the lower MSE/MAE for simulated signals does not establish that the digital twin brain causally extracts steering information. Because the spiking-network generative model is not literally the identity map, the reduction is not complete, but the central 'brain-to-behavior' claim is unsupported as reported. Score 7 reflects partial circularity concentrated in the paper's main predictive comparison.

Assumptions & free parameters 6 free parameters · 6 assumptions · 0 invented entities

The framework depends on a large set of hand-set constants, a per-voxel hyperparameter fit to the same EEG data that is later used for evaluation, and prior DTB/HDA machinery from the same authors. The only genuinely new element, the Laplacian regularization, is introduced to make the inverse problem tractable, but its stabilizing effect is not validated independently.

free parameters (6)
  • Per-voxel hyperparameters h_v (NMDA conductance scales at rest; external current scales in task) = estimated values per voxel, not individually reported (over 10,000)
    Estimated by Regularized-HDA from the same EEG data used to evaluate agreement; central to the EEG-DTB fit.
  • Shrinkage coefficient mu = 0.1
    Scales lead-field entries for non-allocated voxels in Eq. (6); chosen by hand.
  • Fusion coefficient gamma = 0.5
    Weights neighboring electrode estimates in the diffusion fusion (Eq. A.21); chosen by hand.
  • Penalty coefficient lambda = 0.001
    Controls Laplacian regularization strength in Kalman gain (Eq. 9); chosen by hand.
  • Random walk step sigma_h = 1.1 (rest), 2 (task)
    Hyperparameter random walk covariance in Algorithm 1 (Table A.6); chosen by hand.
  • Observation noise sigma_o = 1e-5
    Standard deviation of observation noise in Table A.6; chosen by hand.
assumptions (6)
  • domain assumption LIF neuron model with four synapse types (AMPA, NMDA, GABAA, GABAB) adequately describes cortical dynamics.
    Adopted without comparison to alternative neuron models (Section 2.2.1, Eq. A.1).
  • ad hoc to paper Synaptic conductances follow a Gamma distribution with shape alpha=5 and inverse scale beta=5/h.
    Justified by the HDA framework; the shape and rate parametrization are chosen to make sampling tractable, not derived from data (Sections 3.1, 3.2).
  • domain assumption Inter-voxel long-range connections are purely excitatory.
    Stated in Technical Appendix A.2 as a key hypothesis; not validated.
  • domain assumption Micro-column connectivity from cat primary visual cortex applies to human cortical voxels.
    Used to set intra-voxel connectivity matrices (Table A.2) from Binzegger/Du; cross-species transfer is an assumption.
  • domain assumption Constant average in-degree D=100 for all neurons.
    Used to construct the network (Section 2.2.1, A.2); no data support.
  • ad hoc to paper The voxel-electrode assignment from Eq. (5) and Laplacian penalty from Eq. (7) make the inverse problem well-posed.
    The stabilization effect is asserted, not demonstrated on held-out data (Sections 2.3, 3.1).

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Cite this review

Pith. "Pith review of EEG-fused Digital Twin Brain for Autonomous Driving in Virtual Scenarios." pith.science (2026). https://pith.science/paper/X4X6R67G

@misc{pith2026250712263,
  author       = {Pith},
  title        = {Pith review of: EEG-fused Digital Twin Brain for Autonomous Driving in Virtual Scenarios},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/X4X6R67G}},
  note         = {Machine review of arXiv:2507.12263}
}
read the original abstract

Current methodologies typically integrate biophysical brain models with functional magnetic resonance imaging(fMRI) data - while offering millimeter-scale spatial resolution (0.5-2 mm^3 voxels), these approaches suffer from limited temporal resolution (>0.5 Hz) for tracking rapid neural dynamics during continuous tasks. Conversely, Electroencephalogram (EEG) provides millisecond-scale temporal precision (<=1 ms sampling rate) for real-time guidance of continuous task execution, albeit constrained by low spatial resolution. To reconcile these complementary modalities, we present a generalizable Bayesian inference framework that integrates high-spatial-resolution structural MRI(sMRI) with high-temporal-resolution EEG to construct a biologically realistic digital twin brain(DTB) model. The framework establishes voxel-wise mappings between millisecond-scale EEG and sMRI-derived spiking networks, while demonstrating its translational potential through a brain-inspired autonomous driving simulation. Our EEG-DTB model achieves capabilities: (1) Biologically-plausible EEG signal generation (0.88 resting-state,0.60 task-state correlation), with simulated signals in task-state yielding steering predictions outperforming both chance and empirical signals (p<0.05); (2) Successful autonomous driving in the CARLA simulator using decoded steering angles. The proposed approach pioneers a new paradigm for studying sensorimotor integration and for mechanistic studies of perception-action cycles and the development of brain-inspired control systems.

Figures

Figures reproduced from arXiv: 2507.12263 by the authors.

Figure 1
Figure 1. Overview for autonomous driving via EEG-Digital twin brain(EEG-DTB). The resting-state EEG-DTB parameters are established by assimilating empirical resting-state EEG data. Task-state activation is then induced through visual pathway current stimuli. The simulated post￾synaptic currents generate task-state EEG signals via the MRI-constrained forward model, which are decoded into steering angles for vehicle control du… view at source ↗
Figure 2
Figure 2. Pipeline for EEG-Digital twin brain(EEG-DTB) construction and autonomous driving in virtual scenarios.The pipeline comprises three phases: (A) Resting-state EEG-DTB. The cortico-subcortical model is built from multimodal MRI(including DWI and T1-weighted MRI) and microcolumn connection map, with voxel-electrode assignments derived from EEG forward modeling(based on T1w anatomy and electrode geometry) to reconcile th… view at source ↗
Figure 3
Figure 3. Framework of Regularized-hierarchical data assimilation(Regularized-HDA).The proposed Bayesian inference framework estimates hyperparameters by iterating two processes: sim￾ulation(blue arrows) and filtering(red arrows). During simulation, parameters are sampled from distributions determined by hyperparameters to propagate system states, with observations subse￾quently derived through observation operator; The filte… view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: Resting-state EEG-DTB simulation. Comparison of simulated (blue) and empirical (red) resting-state EEG signals across three channels, demonstrating strong agreement (PCC=0.88) [PITH_FULL_IMAGE:figures/full_fig_p008_4.png]
Figure 5
Figure 5. Figure 5: Task-state EEG-DTB: vehicle driving control in virtual scenarios. (A) Comparison of simulated (blue) and empirical (red) task-state EEG signals across three channels, with a PCC of 0.60. (B) MSE(left) and MAE(right) of steering prediction. We performed 10 simulation tr…

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Works this paper leans on

18 extracted references · 18 canonical work pages

  1. [1]

    Effects of neuromodulation in a cortical network model of object working memory dominated by recurrent inhibition

    Brunel N, Wang XJ. Effects of neuromodulation in a cortical network model of object working memory dominated by recurrent inhibition. Journal of computational neuroscience. 2001;11:63– 85

  2. [2]

    A dendritic disinhibitory circuit mechanism for pathway- specific gating

    Yang GR, Murray JD, Wang XJ. A dendritic disinhibitory circuit mechanism for pathway- specific gating. Nature communications. 2016 Sep 20;7(1):12815

  3. [3]

    Simulation and assimilation of the digital human brain

    Lu W, Zheng Q, Xu N, Feng J, Consortium D. The human digital twin brain in the resting state and in action. arXiv:2211.15963.[Preprint]. 2022 nov

  4. [4]

    A quantitative map of the circuit of cat primary visual cortex

    Binzegger T, Douglas RJ, Martin KA. A quantitative map of the circuit of cat primary visual cortex. Journal of Neuroscience. 2004 Sep 29;24(39):8441–8453

  5. [5]

    The laminar cortex model: a new continuum cortex model incorporating laminar architecture

    Du J, Vegh V , Reutens DC. The laminar cortex model: a new continuum cortex model incorporating laminar architecture. PLoS computational biology. 2012;8(10):e1002733

  6. [6]

    Anatomical evidence of multimodal integration in primate striate cortex

    Falchier A, Clavagnier S, Barone P, Kennedy H. Anatomical evidence of multimodal integration in primate striate cortex. Journal of Neuroscience. 2002 Jul 1;22(13):5749–5759

  7. [7]

    MRtrix3: A fast, flexible and open software framework for medical image processing and visualisation

    Tournier JD, Smith R, Raffelt D, Tabbara R, Dhollander T, Pietsch M, et al. MRtrix3: A fast, flexible and open software framework for medical image processing and visualisation. Neuroimage. 2019;202:116137

  8. [8]

    Denoising of diffusion MRI using random matrix theory

    Veraart J, Novikov DS, Christiaens D, Ades-Aron B, Sijbers J, Fieremans E. Denoising of diffusion MRI using random matrix theory. Neuroimage. 2016;142:394–406

Show all 18 references
  1. [9]

    Diffusion MRI noise mapping using random matrix theory

    Veraart J, Fieremans E, Novikov DS. Diffusion MRI noise mapping using random matrix theory. Magnetic resonance in medicine. 2016;76(5):1582–1593

  2. [10]

    Complex diffusion-weighted image estimation via matrix recovery under general noise models

    Cordero-Grande L, Christiaens D, Hutter J, Price AN, Hajnal JV . Complex diffusion-weighted image estimation via matrix recovery under general noise models. Neuroimage. 2019 Oct 15;200:391–404

  3. [11]

    Gibbs-ringing artifact removal based on local subvoxel-shifts

    Kellner E, Dhital B, Kiselev VG, Reisert M. Gibbs-ringing artifact removal based on local subvoxel-shifts. Magnetic resonance in medicine. 2016;76(5):1574–1581

  4. [12]

    How to correct susceptibility distortions in spin-echo echo- planar images: application to diffusion tensor imaging

    Andersson JL, Skare S, Ashburner J. How to correct susceptibility distortions in spin-echo echo- planar images: application to diffusion tensor imaging. Neuroimage. 2003 Oct;20(2):870–888

  5. [13]

    Incorporating outlier detection and replacement into a non-parametric framework for movement and distortion correction of diffusion MR images

    Andersson JL, Graham MS, Zsoldos E, Sotiropoulos SN. Incorporating outlier detection and replacement into a non-parametric framework for movement and distortion correction of diffusion MR images. Neuroimage. 2016;141:556–572

  6. [14]

    An integrated approach to correction for off-resonance effects and subject movement in diffusion MR imaging

    Andersson JL, Sotiropoulos SN. An integrated approach to correction for off-resonance effects and subject movement in diffusion MR imaging. Neuroimage. 2016;125:1063–1078

  7. [15]

    The B-matrix must be rotated when correcting for subject motion in DTI data

    Leemans A, Jones DK. The B-matrix must be rotated when correcting for subject motion in DTI data. Magnetic Resonance in Medicine: An Official Journal of the International Society for Magnetic Resonance in Medicine. 2009 Jun;61(6):1336–1349

  8. [16]

    Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm

    Zhang Y , Brady M, Smith S. Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm. IEEE transactions on medical imaging. 2001;20(1):45–57

  9. [17]

    Ad- vances in functional and structural MR image analysis and implementation as FSL

    Smith SM, Jenkinson M, Woolrich MW, Beckmann CF, Behrens TE, Johansen-Berg H, et al. Ad- vances in functional and structural MR image analysis and implementation as FSL. Neuroimage. 2004;23:S208–S219

  10. [18]

    J., Solon, A

    Lawhern, V . J., Solon, A. J., Waytowich, N. R., Gordon, S. M., Hung, C. P., Lance, B. J. EEGNet: a compact convolutional neural network for EEG-based brain-computer interfaces. Journal of neural engineering. 2018;15(5):056013. 26

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