multiscale-brain-dynamics-analysis

name	multiscale-brain-dynamics-analysis
description	Unified framework for multi-scale brain dynamics analysis combining criticality scaling, fixed point compositionality, and representation diagnostics. Integrates renormalization group methods, inhibition-dominated network theory, and EEG foundation model audit protocols.
license	Complete terms in LICENSE.txt
metadata	{"arxiv_id":"2606.06290,2606.07336,2606.06647","published":"2026-06-04 to 2026-06-05","authors":"Irem Topal et al., Juliana Londono Alvarez, Jun-You Lin et al.","tags":["neuroscience","brain-dynamics","criticality","compositionality","representation-analysis","renormalization-group","EEG","fMRI"]}

Multi-Scale Brain Dynamics Analysis Framework

Unified framework synthesizing three complementary approaches to studying brain dynamics across spatial and representational scales (arXiv:2606.06290, 2606.07336, 2606.06647).

Synthesis Rationale

These three papers from June 2026 reveal a convergent theme: brain dynamics must be analyzed at multiple scales simultaneously — from microscopic network connectivity to macroscopic collective behavior to learned representation structure.

Scale	Paper	Method	Key Insight
Collective/Macroscopic	2606.06290	PRG + PSD + DFA	Psychosis reorganizes scaling regime, doesn't destroy it
Mesoscopic/Network	2606.07336	Low-rank gluing in TLNs	Structural modularity enables functional compositionality
Representational	2606.06647	FMScope diagnostics	Subject identity is dominant linear axis in EEG FMs

Core Components

1. Criticality Scaling Analysis (from 2606.06290)

Study how brain activity organizes across scales using statistical physics methods:

• Phenomenological Renormalization Group (PRG): coarse-grain fMRI data iteratively, track (alpha, tau) evolution
• Power Spectral Density (PSD): measure 1/f scaling exponent beta
• Detrended Fluctuation Analysis (DFA): quantify long-range temporal correlations (Hurst exponent)

Key finding: Pathological states often show systematic exponent shifts within preserved scaling regime, not loss of critical dynamics.

2. Fixed Point Compositionality (from 2606.07336)

Understand how structural modularity supports flexible computation:

• Low-rank gluing rules: connect inhibition-dominated threshold-linear network modules via specific low-rank couplings
• Fixed point decomposition: global attractors constrained to combinations of local module attractors
• Rank-1 gluing characterization: complete rules for which local fixed point combinations yield global ones

Key finding: Brains generate complex behaviors on stable structure by composing simple reusable primitives through modular assembly.

3. Representation Diagnostic Framework (from 2606.06647)

Audit learned neural representations before downstream use:

• FMScope protocol: five diagnostics for frozen representations
  1. Variance decomposition (subject vs. label variance)
  2. Subject-axis erasure (remove dominant identity axis)
  3. Aperiodic 1/f ablation (test spectral carrier contribution)
  4. Layer-wise label probing (identify which layers encode what)
  5. Within-subject direction consistency (verify biomarker stability)

Key finding: Subject identity variance dominates 13-89x over random null; erasing it improves label decoding by 6-12 pp.

Unified Analysis Workflow

Step 1: Data Collection
  ├── fMRI/EEG time series from patient + control groups
  ├── Network connectivity matrices (functional + structural)
  └── Pretrained model representations (if using ML models)

Step 2: Multi-Scale Characterization
  ├── Macroscopic: PRG coarse-graining + PSD + DFA scaling exponents
  ├── Mesoscopic: network modularity analysis + fixed point decomposition
  └── Representational: variance decomposition + axis erasure + layer probing

Step 3: Cross-Scale Integration
  ├── Map scaling exponents to network modularity structure
  ├── Identify which representation axes correspond to which dynamical scales
  └── Test whether compositionality holds across pathological states

Step 4: Diagnostic Inference
  ├── Compare exponent distributions (not just means) between groups
  ├── Identify which module compositions break down in pathology
  └── Quantify representation shortcut learning via FMScope protocol

Activation Keywords

brain dynamics analysis, multi-scale neuroscience, criticality scaling, renormalization group fMRI, fixed point compositionality, inhibition-dominated networks, EEG foundation model audit, subject identity trap, representation diagnostics, PRG analysis, threshold-linear networks, shortcut learning neuroscience

Related Skills

• psychosis-scaling-critical-regime — PRG + scaling analysis for brain criticality
• fixed-point-compositionality-low-rank-gluing — network modularity and attractor compositionality
• identity-trap-eeg-foundation-models — representation audit for EEG models
• renormalization-scaling-brain-activity — RG framework for brain activity
• brain-network-controllability — network control theory for brain state transitions
• complex-brain-hypothesis — theoretical framework for brain criticality

When to Use This Framework

1. Studying psychiatric disorders where both collective dynamics and network structure may be altered
2. Auditing neural network models trained on brain data before downstream use
3. Designing interventions that target specific scales (microscopic network vs. macroscopic dynamics)
4. Comparing healthy vs. pathological brains across multiple complementary observables
5. Understanding compositionality in biological and artificial neural networks

Pitfalls

1. Single-scale analysis is insufficient: pathology may preserve dynamics at one scale while altering another
2. Mean comparisons miss distribution shifts: use full distribution comparisons for scaling exponents
3. Subject-disjoint CV doesn't prevent shortcut learning: FMScope diagnostics required at representation level
4. Network modularity != functional compositionality: only specific low-rank couplings guarantee decomposability