Domain-Specific Method Taxonomies (3-Axis Grouping)
This file replaces the v2 "flat 10-subsection list" approach. For each medical imaging domain, methods are organized along 3 thematic axes, not as a long flat list. These axes are subsection structure (the H3 organization in §Methods), with bold lead-ins for individual method families inside each axis.
The 3 axes are universal:
- Architectural priors — what kind of network (CNN, Transformer, Mamba, etc.)
- Inductive priors — what kind of geometric / structural / multi-task bias is built in (topology, multi-task, graph, etc.)
- Data regime — how data is used / pre-trained / federated (self-supervised, foundation models, federated, etc.)
Critical: These 3 axes are how the §Methods section is structured. Do NOT bullet 10 method categories as 10 H3 subsections. Use 3 axis subsections, with bold lead-ins inside each axis for the method families.
How to use this file
When writing the §Methods section:
- Open this file to find your domain.
- Use the 3-axis grouping as your H3 structure.
- Inside each axis subsection, use bold lead-ins for the individual method families.
- End each axis subsection with a verdict sentence.
Example for coronary segmentation §Methods:
## Methods
### Architectural priors
**CNN-based design.** ... 2-3 paragraphs ...
**Transformer-based design.** ... 2-3 paragraphs ...
**Mamba and state-space design.** ... 1-2 paragraphs ...
Verdict: CNN-based design remains the operational default; transformer
hybrids are starting to show convincing gains in centerline-vs-mask hybrid
problems but have yet to displace U-Net on pure segmentation.
### Inductive priors
**Topology-aware design.** ... 2-3 paragraphs ...
**Multi-task design.** ... 2-3 paragraphs ...
**Graph neural network design.** ... 1-2 paragraphs ...
Verdict: Topology-aware losses are the single most cost-effective design
choice for coronary segmentation when paired with any decent backbone.
### Data regime
**Self-supervised pre-training.** ... 2-3 paragraphs ...
**Foundation models.** ... 2-3 paragraphs ...
**Federated learning.** ... 1-2 paragraphs ...
**Physics-informed models.** ... 1 paragraph ...
Verdict: Foundation models are the next 2-3 years' wild card; their gap to
domain-tuned specialists has narrowed substantially but is not yet closed.
Coronary Artery / Cardiovascular CT (CCTA)
Axis 1: Architectural priors
- CNN-based: U-Net, V-Net, nnU-Net variants
- Transformer-based: ViT, SwinUNETR, TransUNet, TransCC, FocusUNETR
- Mamba / state-space: VM-UNet, U-Mamba for vessels
- Hybrid CNN-Transformer: nnFormer, hybrid encoders
Axis 2: Inductive priors
- Topology-aware: clDice loss, VCP loss, persistent-homology losses
- Multi-task: joint segmentation + centerline, joint segmentation + bifurcation detection
- Graph neural network: vessel graph extraction, GNN-based labeling
Axis 3: Data regime
- Self-supervised pre-training: contrastive, masked-image-modeling for vessels
- Foundation models: SAM-Med, vesselFM, generalist segmentation models
- Semi-supervised: pseudo-labeling for CCTA datasets
- Federated learning: multi-center coronary segmentation without data sharing
- Physics-informed: PDE-constrained losses for vessel topology
Downstream tasks (separate section, not part of methods axis structure)
- Centerline extraction
- Vessel labeling (SCCT 18-segment / AHA 17-segment myocardium)
- Stenosis detection
- CT-FFR computation
- Plaque analysis
- Calcium scoring
- Pericoronary fat analysis (FAI)
Key datasets
- CAT08 (32 cases, centerline)
- ASOCA (40 cases, segmentation)
- ImageCAS (1000 cases, single-center, segmentation)
- PCCTA120 (120 cases, artery + plaque)
Lung Imaging (CT / X-ray)
Axis 1: Architectural priors
- Anchor-based detection: Faster R-CNN, RetinaNet
- Anchor-free detection: CenterNet, FCOS, YOLO variants
- Transformer-based detection: DETR family
- 3D detection: 3D nodule detection networks
- U-Net variants for segmentation
Axis 2: Inductive priors
- Multi-scale feature pyramids: FPN-based, PSP
- Attention mechanisms: SE blocks, CBAM, axial attention
- Boundary-aware: edge-loss formulations
- Uncertainty quantification: MC dropout, ensembles
Axis 3: Data regime
- Self-supervised: contrastive learning on chest CT
- Weakly-supervised: from radiology reports
- Foundation models: chest X-ray foundation models
Tasks
- Nodule detection / segmentation / malignancy classification
- COVID-19 detection
- Interstitial lung disease characterization
Key datasets
- LUNA16 (888 CT scans)
- LIDC-IDRI (1018 cases)
- ChestX-ray14 (112,120 X-rays)
Brain Imaging (MRI / CT)
Axis 1: Architectural priors
- CNN-based: U-Net, V-Net
- Transformer-based: SwinUNETR, UNETR for BraTS
- Hybrid
Axis 2: Inductive priors
- Attention mechanisms: spatial, channel, self-attention
- Graph neural networks: brain connectivity GNNs
- Multi-atlas-informed: deep atlas registration
Axis 3: Data regime
- Self-supervised pre-training: masked-image-modeling on MRI
- Foundation models: medSAM, BrainSAM
- Multi-modal fusion: T1/T2/FLAIR fusion strategies
- Federated learning: cross-institutional MRI federation
Tasks
- Brain tissue segmentation
- Tumor segmentation (BraTS)
- Lesion detection (stroke, MS)
- Cerebrovascular segmentation
- Age / disease estimation
Key datasets
- BraTS (brain tumor)
- ADNI (Alzheimer's)
- IXI (healthy brains)
- ISLES (stroke lesions)
Cardiac Imaging (MRI / CT / Echo)
Axis 1: Architectural priors
- CNN-based: nnU-Net, V-Net cine MRI
- Temporal modeling: RNN, 3D CNN, transformer-based temporal
- Multi-view fusion: SA + LA cine fusion
Axis 2: Inductive priors
- Shape priors: SSM-constrained networks
- Anatomical loss formulations
- Uncertainty estimation: ensembles, MC dropout
Axis 3: Data regime
- Multi-modal fusion: cine + LGE + perfusion
- Foundation models: cardiac generalists
- Self-supervised pre-training
Tasks
- Chamber segmentation
- Wall motion analysis
- Scar / fibrosis detection (LGE)
- Valve assessment
- Strain analysis
Key datasets
- ACDC (100 patients)
- M&Ms (320 subjects)
- CAMUS (500 patients, echo)
Pathology (Whole Slide Images)
Axis 1: Architectural priors
- Patch-based CNN: ResNet, EfficientNet
- Transformer-based: ViT, hierarchical transformers
- Graph neural networks: nuclei-level graphs
Axis 2: Inductive priors
- Multiple Instance Learning (MIL): attention-MIL, max-pooling
- Attention-based aggregation: TransMIL
- Topology-aware: persistent homology of histological structures
Axis 3: Data regime
- Self-supervised pre-training: SimCLR / MoCo / DINO on patches
- Foundation models: PathLM, CONCH, UNI, Virchow
- Weakly-supervised: from slide-level labels
Tasks
- Cancer detection / grading / staging
- Biomarker prediction
- Survival prediction
Key datasets
- CAMELYON (lymph node)
- TCGA (multi-cancer)
- PANDA (prostate)
Retinal Imaging (Fundus / OCT)
Axis 1: Architectural priors
- CNN-based: multi-scale networks
- Transformer-based: ViT for fundus
- Hybrid
Axis 2: Inductive priors
- Attention mechanisms: dual-attention for vessels
- Domain adaptation: between fundus camera types
Axis 3: Data regime
- Self-supervised: on large unlabeled fundus image sets
- Foundation models: RETFound, FLAIR
- Federated learning: privacy-preserving DR screening
Tasks
- Diabetic retinopathy grading
- Glaucoma detection
- Age-related macular degeneration
- Vessel segmentation
Key datasets
- EyePACS (88,702 images)
- DRIVE (40 images, vessels)
- REFUGE (1200 images, glaucoma)
Universal Medical Image Segmentation (Fallback Axis Structure)
When the domain is generic or your topic spans multiple modalities, use this universal 3-axis grouping:
Axis 1: Architectural priors
- Encoder-Decoder (U-Net, V-Net, nnU-Net)
- Transformer-based (SwinUNETR, UNETR, TransUNet)
- Mamba / state-space
- Hybrid CNN-Transformer
Axis 2: Inductive priors
- Attention mechanisms (SE, CBAM, axial, deformable)
- Multi-scale processing (FPN, PSP, ASPP)
- Boundary-aware (active contours, edge losses)
- Topology-preserving (clDice, persistent homology)
- Uncertainty quantification (MC Dropout, ensembles)
Axis 3: Data regime
- Self-supervised pre-training (contrastive, masked)
- Foundation models (SAM, MedSAM)
- Few-shot / zero-shot (prototypical, foundation models)
- Domain adaptation (adversarial, self-training)
- Federated learning
- Efficient architectures (MobileNet, EfficientNet, Mamba — when efficiency is the focus)
Universal evaluation metrics (Box 1 content)
- Overlap: Dice, IoU / Jaccard
- Distance: Hausdorff (HD, HD95), ASSD
- Topology: clDice, Betti numbers
- Clinical: Sensitivity, Specificity, AUC, PPV / NPV
What to do when a method family doesn't fit cleanly into 3 axes
Some methods span axes (e.g., a foundation-model-based topology-aware Mamba would touch all 3). In such cases:
- Place the method in the axis it's most centrally about.
- Cross-reference from the other 2 axes ("see also: this method type combines architectural and data-regime innovations").
- Don't create a 4th axis to accommodate it. Three axes is the structural commitment.
If 30%+ of your methods don't fit, you may be in a sub-domain where the 3-axis structure needs adaptation. In that case, document the alternative structure in PARADIGM.md and use it consistently — but stay disciplined to 3 axes.
Why 3 axes, not 10 flat subsections
The v2 skill's coronary section listed 10 flat method categories. The resulting draft had a §3 with 10 nearly-equal H3 subsections, each ~500 words. The effect on the reader: a textbook chapter, not a flagship review.
Flagship reviews compress 10+ method variants into 3 thematic axes. The 3-axis structure also forces explicit comparison ("CNN-based vs Transformer-based vs Mamba-based architectures all aim to capture spatial inductive bias differently") which is what a real review reader wants — synthesis, not catalogue.
If your editor / reviewer feedback says "the methods section reads as a flat list", this file's structure is the fix.