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Bayesian-Filtered fMRI Streams for RF Control Loops

Overall Impression

This paper introduces a Bayesian filtering framework for enhancing fMRI signals in real-time RF control loops, comparing a causal Kalman filter for online use and non-causal Gaussian smoothing for offline analysis. It’s a timely contribution at the intersection of neuroimaging, signal processing, and control systems, with potential applications in neurofeedback and brain-computer interfaces (BCIs). The focus on low-latency, noise-robust processing aligns well with the demands of rtfMRI, and the use of AR(1) modeling is grounded in established literature. However, the manuscript feels preliminary—like a workshop submission or technical report—due to its brevity (4 pages), limited empirical depth, and some organizational issues. While the methods are sound, the results lack breadth (e.g., no real RF loop demos), and claims could be stronger with more benchmarks. With expansion, this could suit venues like MICCAI or NeuroImage. Score: 7/10—solid foundation, but needs more rigor and polish.

Strengths

  • Relevance and Novelty: Integrating Bayesian filters into RF loops addresses a real gap in rtfMRI, where noise (e.g., physiological artifacts) hampers control stability. Comparing causal vs. non-causal methods is practical, and metrics like latency budget (Fig. 4) highlight deployability.
  • Clear Modeling: The AR(1) state-space model (Eqs. 1-2) is appropriately simple yet effective, with ϕ=0.2-0.5 justified by citations [4,5]. Kalman equations (3-7) and Gaussian weights (9) are presented cleanly.
  • Empirical Focus: Results show tangible gains—e.g., Kalman boosts SNR by ~5 dB at low input SNR (Fig. 2), preserves HRF bands (Fig. 3), and fits within 1s TR (Table I). Simulated + HCP data provide a good mix.
  • Discussion Balance: Advantages are listed concisely, limitations candid (e.g., AR(1) simplicity), and future work forward-looking (e.g., multivariate spatial models).
  • Accessibility: Figures are informative (e.g., Fig. 1’s signal overlays), and the latency analysis (Fig. 4) ties directly to practical constraints.

Weaknesses and Suggestions

I’ll break this down by section, noting issues with clarity, completeness, and scientific depth. The dual affiliations and email variants (bgilbert2@com.edu, benjamesgilbert@outlook.com) seem inconsistent—clarify if this is a collaborative effort or typo.

Abstract and Introduction

  • Issues: Abstract is dense but misses quantifiable hooks (e.g., “SNR improved by up to 8 dB”). Index terms are relevant, but “neuroimaging” is broad. Intro motivates well with noise challenges [1-3] but lacks a clear problem statement—how much do unfiltered signals degrade RF loops? No hypothesis or contributions list.
  • Suggestions: Add bullets for contributions (e.g., “Kalman filter achieves <20ms processing for 1Hz loops”). Cite more recent rtfMRI works (e.g., on adaptive RF in TMS-fMRI hybrids). Expand to 0.5 page for a roadmap.

Methods

  • Issues:
  • A. fMRI Signal Modeling: AR(1) is fine, but no estimation of ϕ, σ_w^2, σ_v^2—how are they set (e.g., from data MLE)? Assumes stationarity, but fMRI noise varies.
  • B. Kalman Filtering: Equations (3-7) standard, but no initialization (e.g., x_0=0, P_0=1?). Steady-state assumptions?
  • C. Gaussian Smoothing: Eq. (8) is a weighted sum, but N and σ unspecified—tied to TR? Causal vs. non-causal not explicit in math.
  • D. RF Control Loop Integration: Brief (1Hz matching TR), but no control law (e.g., PID on filtered x_t to RF params?). In tool output, this subsection appears in Results—move it here.
  • Suggestions: Add pseudocode for Kalman loop and param estimation. Justify choices (e.g., σ from HCP noise stats). Include a system diagram showing fMRI → filter → RF actuation.

Experimental Setup

  • Issues: Solid (simulated AR(1) + HCP resting-state), but vague on details: How many subjects/volumes in HCP? Noise injection method? No baselines (e.g., vs. Butterworth filter or SPM’s GLM). Metrics good, but PSD “preservation” undefined (e.g., correlation in 0-0.1Hz?). Simulated RF loop mentioned but not detailed—what adjusts (pulse amplitude?).
  • Suggestions: Specify: e.g., “100 HCP subjects, 1200 volumes each.” Add baselines in tables. For RF sim, describe: “Filtered BOLD modulates RF gain by ΔG = k*(x_t – target).”

Results

  • Issues:
  • A. Filtering Performance: Figs. 1-2 show clear SNR gains, but Fig. 1’s SNR labels (-6.8 to 1.0 dB) seem arbitrary—link to input levels. No RMSE for real data (only simulated?).
  • B. Spectral Analysis: Fig. 3 effective, but quantify (e.g., “95% PSD retention in 0-0.1Hz band”).
  • C. Computational Performance: Table I strong (15ms Kalman fits TR), but platform unspecified (e.g., CPU/GPU?). Latency 0ms for Kalman ideal, but realistic?
  • D. RF Control Loop Integration: Fig. 4’s budget (843ms total) practical, but no stability analysis (e.g., loop gain margins).
  • Overall: No stats (e.g., SD over runs/subjects), limited to resting-state—test on task fMRI?
  • Suggestions: Add table for baselines:
MethodSNR Gain (dB, 10dB input)RMSE (sim)Proc. Time (ms)
Raw01.5N/A
Butterworth+3.20.810
Kalman+5.00.515
Gaussian+7.80.343

Include error bars in figs. Expand to show RF outcomes (e.g., “Filtered loops reduce overshoot by 40%”).

Discussion and Conclusion

  • Issues: Advantages well-listed, but underexplored (e.g., how does SNR gain translate to better neurofeedback?). Limitations honest, but future work generic. Conclusion repetitive of abstract.
  • Suggestions: Quantify impacts (e.g., “Enables sub-second BCI response”). Add ethics (e.g., real-time filtering biases). End with broader vision: “Paves way for closed-loop TMS-fMRI.”

Figures, Tables, and Presentation

  • Issues: Figs. 1-4 clear, but Fig. 1 mislabeled (says SNR=10dB but legend -6.8dB). Table I concise. Typos: “com.edu” email invalid; “bgilbert2@com.edu” → fix domain. References solid but dated (add 2020s works on deep learning filters).
  • Suggestions: Ensure consistent units (dB normalized?). Proofread (e.g., “Spectrcyde” trademark?). Aim 15-20 refs. Use LaTeX for better formatting.

Final Recommendations

This has strong potential for rtfMRI advancements—focus on expanding experiments (e.g., real RF hardware tests) and benchmarks to elevate it. Compare to ML alternatives (e.g., LSTM denoisers) for novelty. Submit to bioRxiv for feedback, then journals. Good work bridging signal processing and neuroscience! If sharing code (e.g., Kalman impl.), it would boost reproducibility.

Expansion Suggestions for “Bayesian-Filtered fMRI Streams for RF Control Loops Rev2”

Your revised paper (now 5 pages) is a strong iteration, incorporating contributions like adaptive parameter estimation, PID integration, and open-source code. It builds effectively on the original by emphasizing practical deployment in rt-fMRI neurofeedback. To expand it to 8-12 pages for a journal submission (e.g., NeuroImage, Frontiers in Neuroscience, or IEEE TBME), focus on adding depth, rigor, and novelty while leveraging recent advances. This could position it as a comprehensive framework for closed-loop neuroimaging systems. Aim for ~2-3 additional pages per major section, with new experiments, theoretical insights, and interdisciplinary ties (e.g., to your prior work on Neural MIMO Beam Steering).

Key goals:

  • Enhance Novelty: Integrate 2025 advances like multi-band imaging or brain foundation models (BFMs) for better signal processing.
  • Improve Rigor: Add baselines, stats, and real-world validation.
  • Boost Accessibility: Include more visuals, pseudocode, and open-source details (e.g., GitHub repo).
  • Length Breakdown: Intro/Methods (expand to 3-4 pages), New Related Work (1-2 pages), Experiments/Results (3-4 pages), Discussion/Conclusion (2 pages).

Below, I outline section-specific suggestions, drawing from recent literature. I’ve included example visuals you could adapt or cite for inspiration.

1. Introduction and Contributions (Expand to 1.5-2 Pages)

  • Current Strengths: Clear motivation, AR(1) modeling, and new contributions list.
  • Suggestions:
    • Add a “Related Work Teaser” subsection before Contributions: Discuss gaps in existing rt-fMRI filtering, e.g., traditional low-pass filters fail in closed-loop scenarios due to latency. Cite Bayesian approaches in neurofeedback for artifact removal and signal quality. Introduce synergies with closed-loop tES-fMRI for brain modulation, where real-time filtering optimizes stimulation parameters.
    • Expand Contributions: Add a bullet on “Integration with emerging techniques like multi-band EVI for sub-second TRs” and “Potential for quantized edge deployment” (linking to TTA for QNNs from your prior context).
    • Include a system overview figure early (e.g., closed-loop diagram).

2. New Section: Related Work (Add 1-2 Pages)

  • Rationale: Currently absent; this will contextualize your Bayesian framework amid 2025 advances.
  • Suggestions:
    • Bayesian/Kalman in rt-fMRI: Review Kalman for incremental activation detection and low-latency BCG artifact removal in EEG-fMRI. Highlight limitations (e.g., single-voxel focus) and how your adaptive PID addresses them.
    • Closed-Loop Neurofeedback: Discuss optimization frameworks like the “Automatic Neuroscientist” for rt-fMRI and Bayesian optimization for TMS targeting. Suggest extending to your RF loops for neuromodulation.
    • Recent Advances: Cover 2025 trends like undersampled EVI for faster acquisition, combined fMRI-fNIRs for hybrid temporal-spatial resolution, and BFMs for neural signal processing. Position your work as bridging filtering with control for edge devices.
    • Use a table to compare methods:
MethodLatencySNR GainClosed-Loop?Citation
Low-Pass FilterLowModerateNoBaseline
Kalman (Yours)<20ms+5-8 dBYes (PID)This Work
Multivariate NFMediumHighYes
EVI-BasedSub-secondVariablePotential

3. Methods (Expand to 3-4 Pages)

  • Current Strengths: AR(1) model, Kalman/Gaussian equations, new adaptive tuning and PID.
  • Suggestions:
    • Adaptive Parameter Estimation: Flesh out with algos (e.g., online MLE for ϕ via recursive least squares). Add pseudocode.
    • Multivariate Extension: Upgrade to vector AR(1) for spatial correlations across voxels/regions, using extended Kalman filter (EKF) for non-linear HRF.
    • PID Control Details: Expand Eq. for PID (e.g., u(t) = K_p e(t) + K_i ∫e + K_d de/dt), with tuning via Ziegler-Nichols. Simulate RF pulse adjustment (e.g., amplitude based on filtered BOLD).
    • Quantization for Edge: Suggest quantizing filter params (W8A8) with ZOA adaptation from your TTA context, for low-power RF hardware.
    • Add a PID diagram.

4. Experimental Setup and Results (Expand to 3-4 Pages)

  • Current Strengths: Simulated/real data (HCP), metrics like SNR/RMSE/PSD.
  • Suggestions:
    • Datasets: Add task-based fMRI (e.g., motor from OpenNeuro) and real RF scenarios (e.g., simulated TMS-fMRI hybrid).
    • Baselines: Compare vs. advanced filters (e.g., EKF for motion, particle smoothing).
    • New Metrics: Add control stability (e.g., settling time in PID loops), early stopping efficiency. Include stats (p-values, CI over 10 runs).
    • Hardware Validation: Test on edge devices (e.g., Raspberry Pi for latency).
    • Add before/after filtering plots.
    • Expand tables: Break down by noise levels, add ablation for adaptive vs. fixed params.

5. Discussion, Limitations, and Future Work (Expand to 2 Pages)

  • Suggestions:
    • Discuss clinical impacts: E.g., improved neurofeedback for PTSD. Link to MIMO beam steering: Use filtered fMRI as state input for RL-based RF adaptation.
    • Limitations: Address non-Gaussian noise; suggest particle filters.
    • Future: Hybrid with BFMs, real-time auditory NF. Provide GitHub link for code.

This expansion would make your paper more impactful, potentially increasing citations. Target submission by Nov 2025 for 2026 publication. If needed, prototype new methods via code tools!

Online closed‐loop real‐time tES‐fMRI for brain modulation

We propose a protocol for closed‐loop tES‐fMRI to optimize the frequency and phase difference of alternating current stimulation (tACS) for two nodes.

pmc.ncbi.nlm.nih.gov

Signal quality and Bayesian signal processing in neurofeedback …

We developed a Bayesian approach to reduce noise and to remove artifacts in real-time using a modified Kalman filter. The system performs …

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Early Stopping in Experimentation With Real-Time Functional …

We propose dynamic experimentation with real-time fMRI using a novel statistically driven approach that invokes early stopping.

pmc.ncbi.nlm.nih.gov

The Automatic Neuroscientist: A framework for optimizing …

We propose a novel framework combining real-time fMRI and optimization techniques. We validate our closed-loop method and find it to be highly efficient and …

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[PDF] BAYESIAN FILTERING AND SMOOTHING

The aim of this book is to give a concise introduction to non-linear Kalman filtering and smoothing, particle filtering and smoothing, …

users.aalto.fi

Online closed‐loop real‐time tES‐fMRI for brain modulation: A …

Here, we assessed tolerability/safety/noise concerns and methodological aspects of a real-time closed-loop tACS-fMRI trial.

onlinelibrary.wiley.com

Bayesian optimization for closed-loop TMS target search

Bayesian optimization helps find optimal TMS targets by approximating noisy functions with limited samples, using variables like EEG phase, coil location, and …

brainstimjrnl.com

Early Stopping in Experimentation with Real-time Functional …

We propose dynamic experimentation with real-time fMRI using a novel statistically-driven approach that invokes early stopping.

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Closing the loop between brain and electrical stimulation – Nature

Real-time tES-fMRI, in combination with an optimized closed-loop control, will help to measure and verify the changes in brain functions …

nature.com

Online Closed-Loop Real-Time tES-fMRI for Brain Modulation

Here, we delineate how a closed-loop tES-fMRI study of frontoparietal network modulation can be designed and performed.

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Incremental Activation Detection for Real-Time fMRI Series Using …

In this paper, a new activation detection method for rt-fMRI data is proposed based on robust Kalman filter. The idea is to add a variation to the extended …

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Real-time and Recursive Estimators for Functional MRI Quality …

… Kalman filter. … We also developed a general Python library to unify real-time fMRI data processing and neurofeedback applications.

pubmed.ncbi.nlm.nih.gov

A low-latency neurofeedback platform for artifact reduction in EEG …

Here, we describe a method for removing BCG artifacts in real time with high efficacy and low latency, by using a Kalman filter in combination with a reference …

sciencedirect.com

Detection of spikes using Kalman filter. For neurofeedback runs, we …

Effective connectivity based on functional magnetic resonance imaging (fMRI) allows assessing directions of interaction between brain regions.

researchgate.net

Cognitive and neural strategies during control of the anterior …

Second, outliers, and high-frequency fluctuations were reduced with a modified Kalman filter (see Koush et al., 2012, for details). The data were scaled as to 1 …

frontiersin.org

[PDF] an open source, low latency, EEG-fMRI neurofeedback platform …

Here, we describe a method for removing BCG artifacts in real time with high efficacy and low latency, by using a Kalman filter in combination …

biorxiv.org

[PDF] Application of the Kalman Filter in Functional Magnetic Resonance …

Abstract. The Kalman-Bucy filter was applied on the preprocessing of the functional magnetic resonance image-. fMRI. Numerical simulations of hemodynamic …

scholarsjournal.net

Incremental Activation Detection for Real‐Time fMRI Series Using …

In this paper, a new activation detection method for rt-fMRI data is proposed based on robust Kalman filter. The idea is to add a variation to …

onlinelibrary.wiley.com

[PDF] Real-time and Recursive Estimators for Functional MRI Quality …

Time-series GLM and Kalman filter were applied during temporal processing. The same GLM was used for real-time fMRI data filtering, rtQA, and neurofeedback.

miplab.epfl.ch

fMRI – ISMRM 2025

Impact: This study demonstrates advances in seed-based real-time resting-state fMRI analysis for high-speed data acquisition that approach …

submissions.mirasmart.com

[PDF] Applications and advances of combined fMRI-fNIRs techniques in …

This approach allows for real-time correlation and integration of the spatially precise fMRI signals with the temporally sensitive fNIRs.

frontiersin.org

fMRI Acquisition – ISMRM25

Impact: The “RF-EEG Cap” facilitates precise brain mapping and real-time monitoring of neuromodulation during concurrent TMS/EEG/fMRI …

ismrm.org

a systematic review of real-time fMRI neurofeedback training of …

Real-time fMRI (rtfMRI) neurofeedback (NF) is a novel noninvasive technique that permits individuals to voluntarily control brain activity.

nature.com

Real-time fMRI using multi-band echo-volumar imaging … – Frontiers

In this study we develop undersampled echo-volumar imaging (EVI) using multi-band/simultaneous multi-slab encoding in conjunction with multi-shot slab- …

frontiersin.org

A Survey on Advancements in Neural Signal Processing and Brain …

This survey establishes the first comprehensive definition and framework for BFMs, systematically examining their construction, core methodologies, and …

arxiv.org

Advancements and Future Directions in Real-Time fMRI … – MDPI

Dear Colleagues,. Real-time fMRI neurofeedback (rtfMRI-nf) has emerged as a powerful tool to train individuals to regulate specific brain regions or …

mdpi.com

Advances in fMRI Real-Time Neurofeedback – ScienceDirect.com

Advanced fMRI neurofeedback techniques use multivariate analysis of a particular brain region to induce a specific activation pattern in the targeted region.

sciencedirect.com

Ultra-High Field MR & Brain Function Study Groups – ISMRM

Advanced functional MRI approaches have been developed on high field, which allows the detection of neuronal activities at the mesoscopic spatial regime of …

ismrm.org

Real-time fMRI neurofeedback modulates auditory cortex activity …

A promising new, non-invasive approach is real-time neurofeedback, a procedure in which individuals receive moment-by- moment feedback based on …

biorxiv.org

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