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npx versuz@latest install hiyenwong-ai-collection-collection-skills-flow-based-connectivity-distributiongit clone https://github.com/hiyenwong/ai_collection.gitcp ai_collection/SKILL.MD ~/.claude/skills/hiyenwong-ai-collection-collection-skills-flow-based-connectivity-distribution/SKILL.md---
name: flow-based-connectivity-distribution
version: v1.0.0
last_updated: 2026-04-18
description: "Flow-based probabilistic inference for neural connectivity distribution. Uses normalizing flows to model the distribution of possible brain connectomes, enabling uncertainty quantification in connectivity estimation. Supports downstream tasks: network analysis, disease classification, and intervention planning with principled uncertainty estimates."
category: neuroscience
tags:
- connectivity
- distributional-inference
- normalizing-flows
- uncertainty-quantification
- brain-network
- probabilistic-modeling
paper:
title: "Flow-based Connectivity Distribution Inference"
published: "2026-04-16"
url: "https://arxiv.org/abs/2604.11761"
activation: "flow-based, connectivity distribution, normalizing flows, uncertainty, probabilistic, brain network"
---
# Flow-based Connectivity Distribution Inference
## 概述
使用标准化流(Normalizing Flows)对脑连接组分布进行建模的概率推断方法。与传统点估计方法不同,该方法提供连接估计的不确定性量化,支持下游任务的可靠决策。
## 核心创新
将连接组推断从**点估计**提升为**分布推断**,使用标准化流学习连接空间上的概率分布。
## 方法论
### 标准化流架构
```python
class ConnectivityFlow(nn.Module):
"""使用标准化流建模连接分布"""
def forward(self, base_dist):
# 从简单分布(如高斯)采样
z = base_dist.sample()
# 通过可逆变换映射到连接空间
for transform in self.transforms:
z, log_det = transform(z)
connectivity = z
return connectivity, log_det.sum()
```
### 训练策略
1. **似然最大化**:最大化观测数据的边际似然
2. **变分推断**:使用流作为灵活的后验近似
3. **条件生成**:以协变量(年龄、疾病状态)为条件
### 不确定性量化
- **连接强度不确定性**:每条边的后验分布
- **网络指标不确定性**:传播连接到图指标的分布
- **分类不确定性**:结合连接不确定性进行疾病分类
## 应用场景
- **连接组推断**:从 fMRI/DTI 数据估计连接及其不确定性
- **疾病分类**:结合不确定性的鲁棒分类
- **干预规划**:考虑不确定性的最优干预策略
## 参考文献
```bibtex
@article{flow2026,
title={Flow-based Connectivity Distribution Inference},
journal={arXiv preprint arXiv:2604.11761},
year={2026}
}
```
---
*Generated on 2026-04-18*