BasNet: Attention U-Net-Based Automated Axon Segmentation in Bielschowsky Silver-Stained Histology.
The 15 matches
- [1] § Methods › Performance Evaluation › Whole Slide Image Maps ↔ BasNet_code/axon_directionality.py, lines 1–45 · score 0.81 · square cells, Axon orientation, axon pixels, structural tensor, Scharr, axon density
- [2] § Methods › Loss Function and Optimization ↔ BasNet_code/train.py, lines 85–160 · score 0.81 · AdamW, ReduceLROnPlateau, Learning rate scheduling, hyperparameter, patience, optimized
- [3] § Methods › Network Architecture ↔ BasNet_code/attention_unet.py, lines 50–91 · score 0.75 · gating signal, attention weighted, skip connection, decoder, channel, sigmoid
- [4] § Methods › Performance Evaluation › Whole Slide Image Maps ↔ BasNet_code/axon_directionality.py, lines 1–45 · score 0.74 · secondary orientation, primary orientation, Eigenanalysis, eigenvectors, perpendicular, deviation
- [5] § Methods › Implementation ↔ BasNet_code/train.py, lines 1–28 · score 0.73 · Weights Biases, PyTorch, experiment tracking, Lightning, pipeline, batch
- [6] § Methods › Loss Function and Optimization ↔ BasNet_code/loss_functions.py, lines 1–21 · score 0.65 · Focal Tversky Loss, class imbalance, axon segmentation, weighting
- [7] § Results › Baseline Comparison (nnU-Net) ↔ BasNet_code/utils/stratified_metrics.py, lines 21–124 · score 0.61 · ground truth, tile prediction, tile metrics, IoU, recall, patch
- [8] § Methods › Network Architecture ↔ BasNet_code/attention_unet.py, lines 94–143 · score 0.61 · spatial resolution, 2–4, bottleneck, Dropout, max, channel
- [9] § Methods › Loss Function and Optimization ↔ BasNet_code/train_lowo.py, lines 88–230 · score 0.59 · Gradient clipping, scheduling, patience, optimized, configuration, loss
- [10] § Methods › Network Architecture ↔ BasNet_code/attention_unet.py, lines 1–23 · score 0.58 · attention gates, Bielschowsky stained, architecture, decoder, encoder, tissue
- [11] § Methods › Baseline Comparison (nnU-Net) ↔ BasNet_code/inference_wsi.py, lines 196–277 · score 0.56 · sliding window inference, matching, predictions, patches, segmentation, trained
- [12] § Methods › Patch Extraction Strategy › Data Leakage Prevention ↔ BasNet_code/train_lowo.py, lines 340–376 · score 0.53 · cross validation, training WSIs, LOWO, fold, model
- [13] § Results › Training Performance ↔ BasNet_code/train.py, lines 167–244 · score 0.51 · trainable parameters, monitored, patience, gradient, epoch, batch
- [14] § Methods › Loss Function and Optimization ↔ BasNet_code/loss_functions.py, lines 50–77 · score 0.51 · smoothing constant, TP, FP, FN, weight, Loss
- [15] § Methods › Network Architecture ↔ BasNet_code/attention_unet.py, lines 50–91 · score 0.51 · encoder features, attention gates, decoder
Paper
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The authors' code
Python · 349 lines · 12 KB · MIT · 4 matches
- """
- Attention U-Net for Axon Segmentation
- Self-contained implementation of the single-task attention U-Net used for
- axon segmentation in Bielschowsky-stained postmortem brain tissue.
- Architecture:
- - Encoder: 4-level contracting path with dropout regularization
- - Bottleneck: Deepest feature representation
- - Decoder: 4-level expanding path with attention-gated skip connections
- - Output: Single-channel binary segmentation mask
- Input: (B, 3, 128, 128) — RGB tile
- Output: (B, 1, 128, 128) — Axon segmentation logits
- Author: UNet Axon Segmentation Project
- """
- import os
- import torch
- import torch.nn as nn
- import torch.nn.functional as F
- from typing import Dict, List, Tuple
- # ============================================================================
- # BUILDING BLOCKS
- # ============================================================================
- class DoubleConv(nn.Module):
- """Two consecutive Conv2d→BN→ReLU blocks."""
- def __init__(self, in_channels: int, out_channels: int, mid_channels: int = None):
- super().__init__()
- if not mid_channels:
- mid_channels = out_channels
- self.double_conv = nn.Sequential(
- nn.Conv2d(in_channels, mid_channels, kernel_size=3, padding=1, bias=False),
- nn.BatchNorm2d(mid_channels),
- nn.ReLU(inplace=True),
- nn.Conv2d(mid_channels, out_channels, kernel_size=3, padding=1, bias=False),
- nn.BatchNorm2d(out_channels),
- nn.ReLU(inplace=True)
- )
- def forward(self, x: torch.Tensor) -> torch.Tensor:
- return self.double_conv(x)
- class AttentionGate(nn.Module):
- """
- Attention gate that weights encoder skip features by their relevance to
- the current decoder state.
- Args:
- F_g: Channels in gating signal (from decoder)
- F_l: Channels in skip connection (from encoder)
- F_int: Intermediate channels (bottleneck dimension)
- Reference: Oktay et al., "Attention U-Net", MIDL 2018.
- """
- def __init__(self, F_g: int, F_l: int, F_int: int):
- super().__init__()
- self.W_g = nn.Sequential(
- nn.Conv2d(F_g, F_int, kernel_size=1, bias=True),
- nn.BatchNorm2d(F_int)
- )
- self.W_x = nn.Sequential(
- nn.Conv2d(F_l, F_int, kernel_size=1, bias=True),
- nn.BatchNorm2d(F_int)
- )
- self.psi = nn.Sequential(
- nn.Conv2d(F_int, 1, kernel_size=1, bias=True),
- nn.BatchNorm2d(1),
- nn.Sigmoid()
- )
- self.relu = nn.ReLU(inplace=True)
- def forward(self, g: torch.Tensor, x: torch.Tensor) -> torch.Tensor:
- """
- Args:
- g: Gating signal from decoder (B, F_g, H, W)
- x: Skip features from encoder (B, F_l, H, W)
- Returns:
- Attention-weighted encoder features (B, F_l, H, W)
- """
- g1 = self.W_g(g)
- x1 = self.W_x(x)
- psi = self.psi(self.relu(g1 + x1))
- return x * psi
- class Encoder(nn.Module):
- """
- Contracting path of the U-Net.
- Progressively increases channel depth while halving spatial resolution
- at each level. Returns intermediate feature maps for skip connections.
- Args:
- in_channels: Number of input channels (3 for RGB)
- features: Feature dimensions at each level, e.g. [32, 64, 128, 256]
- dropout_rate: Spatial dropout probability applied at levels 2–4
- """
- def __init__(
- self,
- in_channels: int = 3,
- features: List[int] = [32, 64, 128, 256],
- dropout_rate: float = 0.2
- ):
- super().__init__()
- self.features = features
- self.encoder1 = DoubleConv(in_channels, features[0])
- self.pool1 = nn.MaxPool2d(2, 2)
- self.encoder2 = DoubleConv(features[0], features[1])
- self.pool2 = nn.MaxPool2d(2, 2)
- self.dropout2 = nn.Dropout2d(dropout_rate)
- self.encoder3 = DoubleConv(features[1], features[2])
- self.pool3 = nn.MaxPool2d(2, 2)
- self.dropout3 = nn.Dropout2d(dropout_rate)
- self.encoder4 = DoubleConv(features[2], features[3])
- self.pool4 = nn.MaxPool2d(2, 2)
- self.dropout4 = nn.Dropout2d(dropout_rate)
- self.bottleneck = DoubleConv(features[3], features[3] * 2)
- def forward(self, x: torch.Tensor) -> Tuple[torch.Tensor, ...]:
- """
- Returns:
- (e1, e2, e3, e4, bottleneck) — encoder features at each scale
- """
- e1 = self.encoder1(x)
- e2 = self.dropout2(self.encoder2(self.pool1(e1)))
- e3 = self.dropout3(self.encoder3(self.pool2(e2)))
- e4 = self.dropout4(self.encoder4(self.pool3(e3)))
- bottleneck = self.bottleneck(self.pool4(e4))
- return e1, e2, e3, e4, bottleneck
- class Decoder(nn.Module):
- """
- Expanding path of the U-Net with attention-gated skip connections.
- Args:
- features: Feature dimensions matching the encoder, e.g. [32, 64, 128, 256]
- out_channels: Number of output channels (1 for binary segmentation)
- """
- def __init__(self, features: List[int] = [32, 64, 128, 256], out_channels: int = 1):
- super().__init__()
- self.features = features
- self.upconv4 = nn.ConvTranspose2d(features[3] * 2, features[3], kernel_size=2, stride=2)
- self.att4 = AttentionGate(F_g=features[3], F_l=features[3], F_int=features[3] // 2)
- self.decoder4 = DoubleConv(features[3] * 2, features[3])
- self.upconv3 = nn.ConvTranspose2d(features[3], features[2], kernel_size=2, stride=2)
- self.att3 = AttentionGate(F_g=features[2], F_l=features[2], F_int=features[2] // 2)
- self.decoder3 = DoubleConv(features[2] * 2, features[2])
- self.upconv2 = nn.ConvTranspose2d(features[2], features[1], kernel_size=2, stride=2)
- self.att2 = AttentionGate(F_g=features[1], F_l=features[1], F_int=features[1] // 2)
- self.decoder2 = DoubleConv(features[1] * 2, features[1])
- self.upconv1 = nn.ConvTranspose2d(features[1], features[0], kernel_size=2, stride=2)
- self.att1 = AttentionGate(F_g=features[0], F_l=features[0], F_int=features[0] // 2)
- self.decoder1 = DoubleConv(features[0] * 2, features[0])
- self.output_conv = nn.Conv2d(features[0], out_channels, kernel_size=1)
- def forward(
- self,
- bottleneck: torch.Tensor,
- e1: torch.Tensor,
- e2: torch.Tensor,
- e3: torch.Tensor,
- e4: torch.Tensor
- ) -> torch.Tensor:
- """
- Args:
- bottleneck: (B, features[3]*2, H/16, W/16)
- e1..e4: Encoder skip features at each scale
- Returns:
- Segmentation logits (B, out_channels, H, W)
- """
- d4 = self.upconv4(bottleneck)
- d4 = self.decoder4(torch.cat([d4, self.att4(g=d4, x=e4)], dim=1))
- d3 = self.upconv3(d4)
- d3 = self.decoder3(torch.cat([d3, self.att3(g=d3, x=e3)], dim=1))
- d2 = self.upconv2(d3)
- d2 = self.decoder2(torch.cat([d2, self.att2(g=d2, x=e2)], dim=1))
- d1 = self.upconv1(d2)
- d1 = self.decoder1(torch.cat([d1, self.att1(g=d1, x=e1)], dim=1))
- return self.output_conv(d1)
- # ============================================================================
- # MAIN MODEL
- # ============================================================================
- class SingleTaskAttentionUNet(nn.Module):
- """
- Single-task Attention U-Net for axon segmentation.
- Args:
- in_channels: Input channels (default: 3 for RGB)
- out_channels: Output channels (default: 1 for binary mask)
- features: Feature dimensions at each encoder/decoder level
- dropout_rate: Spatial dropout probability in the encoder
- Example:
- >>> model = SingleTaskAttentionUNet(features=[32, 64, 128, 256])
- >>> logits = model(torch.randn(4, 3, 128, 128))
- >>> probs = torch.sigmoid(logits) # (4, 1, 128, 128)
- """
- def __init__(
- self,
- in_channels: int = 3,
- out_channels: int = 1,
- features: List[int] = [32, 64, 128, 256],
- dropout_rate: float = 0.2
- ):
- super().__init__()
- self.in_channels = in_channels
- self.out_channels = out_channels
- self.features = features
- self.dropout_rate = dropout_rate
- self.encoder = Encoder(in_channels=in_channels, features=features, dropout_rate=dropout_rate)
- self.decoder = Decoder(features=features, out_channels=out_channels)
- def forward(self, x: torch.Tensor) -> torch.Tensor:
- """
- Args:
- x: RGB input images (B, 3, 128, 128)
- Returns:
- Axon segmentation logits (B, 1, 128, 128)
- """
- e1, e2, e3, e4, bottleneck = self.encoder(x)
- return self.decoder(bottleneck=bottleneck, e1=e1, e2=e2, e3=e3, e4=e4)
- # ============================================================================
- # UTILITIES
- # ============================================================================
- def count_parameters(model: nn.Module) -> Dict[str, float]:
- """Return total and trainable parameter counts."""
- total = sum(p.numel() for p in model.parameters())
- trainable = sum(p.numel() for p in model.parameters() if p.requires_grad)
- return {
- 'total_parameters': total,
- 'trainable_parameters': trainable,
- 'total_parameters_millions': total / 1e6,
- 'trainable_parameters_millions': trainable / 1e6
- }
- def estimate_model_size(model: nn.Module) -> Dict[str, float]:
- """Return model memory footprint in MB/GB."""
- param_size = sum(p.nelement() * p.element_size() for p in model.parameters())
- buffer_size = sum(b.nelement() * b.element_size() for b in model.buffers())
- total = param_size + buffer_size
- return {
- 'parameters_mb': param_size / (1024 ** 2),
- 'buffers_mb': buffer_size / (1024 ** 2),
- 'total_mb': total / (1024 ** 2),
- 'total_gb': total / (1024 ** 3)
- }
- def load_pretrained_weights(
- checkpoint_path: str,
- model: SingleTaskAttentionUNet,
- verbose: bool = True
- ) -> SingleTaskAttentionUNet:
- """
- Load weights from a previously trained SingleTaskAttentionUNet checkpoint.
- Weights are loaded with strict=False to allow partial loading (e.g. when
- resuming after architecture changes). Missing or unexpected keys are reported
- when verbose=True.
- Args:
- checkpoint_path: Path to a .ckpt or .pt checkpoint file
- model: Model instance to load weights into
- verbose: Print loading statistics
- Returns:
- Model with loaded weights
- """
- if not os.path.exists(checkpoint_path):
- raise FileNotFoundError(f"Checkpoint not found: {checkpoint_path}")
- checkpoint = torch.load(checkpoint_path, map_location='cpu')
- # Support both raw state_dict and PyTorch Lightning checkpoints
- if 'state_dict' in checkpoint:
- state_dict = checkpoint['state_dict']
- # Lightning prefixes all keys with "model."
- state_dict = {k.replace('model.', '', 1): v for k, v in state_dict.items()
- if k.startswith('model.')}
- else:
- state_dict = checkpoint
- missing, unexpected = model.load_state_dict(state_dict, strict=False)
- if verbose:
- loaded = len(state_dict) - len(missing)
- print(f"Loaded {loaded}/{len(state_dict)} parameter tensors from {checkpoint_path}")
- if missing:
- print(f" Missing keys ({len(missing)}): {missing[:5]}{'...' if len(missing) > 5 else ''}")
- if unexpected:
- print(f" Unexpected keys ({len(unexpected)}): {unexpected[:5]}{'...' if len(unexpected) > 5 else ''}")
- return model
- def create_model(model_config: dict) -> SingleTaskAttentionUNet:
- """
- Instantiate SingleTaskAttentionUNet from a configuration dictionary.
- Args:
- model_config: Dictionary with optional keys:
- - in_channels (int, default 3)
- - out_channels (int, default 1)
- - features (List[int], default [32, 64, 128, 256])
- - dropout_rate (float, default 0.2)
- Returns:
- SingleTaskAttentionUNet instance
- """
- return SingleTaskAttentionUNet(
- in_channels=model_config.get('in_channels', 3),
- out_channels=model_config.get('out_channels', 1),
- features=model_config.get('features', [32, 64, 128, 256]),
- dropout_rate=model_config.get('dropout_rate', 0.2)
- )
attention_unet.py at commit bb55e05, under MIT · at the source
Overview
- Research Center for Clinical Neuroimmunology and Neuroscience Basel (RC2NB), University of Basel, Basel, Switzerland
- Translational Imaging in Neurology Basel, Department of Biomedical Engineering, Faculty of Medicine, University of Basel, Allschwil, Switzerland
- Department of Neurology, University Hospital Basel, Basel, Switzerland
- Department of Neuropathology, University Medical Center Göttingen, Göttingen, Germany
Abstract
Reliable automatic quantification of axon density in histologic sections is important for both research and clinical neuropathology applications - however, it remains a challenge for silver-impregnation stains, such as Bielschowsky. Classical color-deconvolution approaches perform poorly on silver stains, and manual annotation of densely packed axons is time-consuming and subject to inter-rater variability. We developed an automated axon segmentation pipeline in Bielschowsky silver-stained histological brain sections based on an attention U-Net architecture with attention-gated skip connections, trained using Focal Tversky Loss to handle class imbalance and thin structure recovery. Ground truth was manually annotated on 33 image tiles (covering over 25 million pixels) derived from 26 whole-slide images from varying brain regions of four multiple sclerosis patients. Slides were prepared by different laboratory technicians at different time points to capture realistic staining variability. Model performance was evaluated on a held-out test set of unseen tiles. On the test set (eight held-out tiles) the model achieved a mean pixel-wise F1/
Supplementary Information: The online version contains supplementary material available at https://
Reproduced under the paper's license (CC BY), from the paper cited above.
Repositories
Its files are read in the Code ↔ Paper reader above, with 15 matches between paragraphs and lines of code.
Zenodo 19455087
Availability: 1 check, the latest on 26 September 2026: the link answers (HTTP 200)
- 26 September 2026: the link answers (HTTP 200)
14 files
- BasNet_code/
attention_unet.py — Python, 349 lines - BasNet_code/
axon_density.py — Python, 246 lines - BasNet_code/
axon_directionality.py — Python, 392 lines - BasNet_code/
datasets/ — Python, 311 linesaxon_dataset.py - BasNet_code/
datasets/ — Python, 139 lineslowo_dataset.py - BasNet_code/
inference_single_tile.py — Python, 448 lines - BasNet_code/
inference_wsi.py — Python, 404 lines - BasNet_code/
loss_functions.py — Python, 209 lines - BasNet_code/
preprocess.py — Python, 832 lines - BasNet_code/
run_axon_experiment.py — Python, 607 lines - BasNet_code/
train.py — Python, 281 lines - BasNet_code/
train_lowo.py — Python, 380 lines - BasNet_code/
utils/ — Python, 228 linesstratified_metrics.py - LICENSE — License, 21 lines
lukasschoenenberger/basnet
bb55e05437e7a7240b7258a5d93956f641658d72, 2 April 2026Availability: 1 check, the latest on 26 September 2026: the link answers
- 26 September 2026: the link answers
14 files
- BasNet_code/
attention_unet.py — Python, 349 lines, 4 matches - BasNet_code/
axon_density.py — Python, 246 lines - BasNet_code/
axon_directionality.py — Python, 392 lines, 2 matches - BasNet_code/
datasets/ — Python, 311 linesaxon_dataset.py - BasNet_code/
datasets/ — Python, 139 lineslowo_dataset.py - BasNet_code/
inference_single_tile.py — Python, 448 lines - BasNet_code/
inference_wsi.py — Python, 404 lines, 1 match - BasNet_code/
loss_functions.py — Python, 209 lines, 2 matches - BasNet_code/
preprocess.py — Python, 832 lines - BasNet_code/
run_axon_experiment.py — Python, 607 lines - BasNet_code/
train.py — Python, 281 lines, 3 matches - BasNet_code/
train_lowo.py — Python, 380 lines, 2 matches - BasNet_code/
utils/ — Python, 228 lines, 1 matchstratified_metrics.py - LICENSE — License, 21 lines
The paper's code and data availability statement is in the Data section.
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What the map holds:
- 2 repositories of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
- 26 scripts, each with its path and the digest of its content;
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Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.
Data
Datasets cited
- huggingface.co/
datasets/ — at Hugging Face; found in “Data Availability”lukas-schoenenberger/ basnet-dataset - huggingface.co/
lukas-schoenenberger/ — at Hugging Face; found in “Data Availability”basnet
Data Availability
Source code (version 1.0.1) is archived on Zenodo and available at https://
Reproduced under the paper's license (CC BY), from the paper cited above.
Versions
The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.
Version 3, 28 September 2026
- Publisher: — → Springer Science+Business Media
- Funding: added Universität Basel
Version 1, 27 September 2026: the first record
Recorded: type, language, journal, volume, issue, pages, dates, 5 authors, 6 keywords, 6 MeSH terms, 18 references.
Cite
This paper
Schönenberger, L., Egli, L., Gkotsoulias, D., Stadelmann, C., & Granziera, C. (2026). BasNet: Attention U-Net-Based Automated Axon Segmentation in Bielschowsky Silver-Stained Histology. Neuroinformatics, 24(3), 59. https://
BibTeX
@article{schonenberger20
author = {Schönenberger, Lukas and Egli, Laurin and Gkotsoulias, Dimitrios and Stadelmann, Christine and Granziera, Cristina},
title = {{BasNet: Attention U-Net-Based Automated Axon Segmentation in Bielschowsky Silver-Stained Histology}},
journal = {Neuroinformatics},
year = {2026},
month = sep,
volume = {24},
number = {3},
pages = {59},
publisher = {Springer Science+Business Media},
issn = {1539-2791},
doi = {10.1007/
url = {https://
pmid = {42709277},
pmcid = {PMC13553709}
}
RIS
TY - JOUR
AU - Schönenberger, Lukas
AU - Egli, Laurin
AU - Gkotsoulias, Dimitrios
AU - Stadelmann, Christine
AU - Granziera, Cristina
TI - BasNet: Attention U-Net-Based Automated Axon Segmentation in Bielschowsky Silver-Stained Histology
T2 - Neuroinformatics
J2 - Neuroinformatics
PY - 2026
DA - 2026/
VL - 24
IS - 3
SP - 59
SN - 1539-2791
PB - Springer Science+Business Media
DO - 10.1007/
UR - https://
LA - en
ER -
CSL-JSON
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"id": "10.1007/
"type": "article-journal",
"title": "BasNet: Attention U-Net-Based Automated Axon Segmentation in Bielschowsky Silver-Stained Histology",
"container-title": "Neuroinformatics",
"author": [
{
"family": "Schönenberger",
"given": "Lukas"
},
{
"family": "Egli",
"given": "Laurin"
},
{
"family": "Gkotsoulias",
"given": "Dimitrios"
},
{
"family": "Stadelmann",
"given": "Christine"
},
{
"family": "Granziera",
"given": "Cristina"
}
],
"container-title-short":
"volume": "24",
"issue": "3",
"page": "59",
"DOI": "10.1007/
"PMID": "42709277",
"PMCID": "PMC13553709",
"ISSN": "1539-2791",
"publisher": "Springer Science+Business Media",
"URL": "https://
"language": "en",
"issued": {
"date-parts": [
[
2026,
9,
8
]
]
}
}
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