import torch from torch_geometric.data import Data, Batch from torch_geometric.utils import add_self_loops, grid def differentiable_convert_to_data(map_probs: torch.Tensor) -> Data: """ 可导的图结构转换(返回 PyG Data 对象) map_probs: [C, H, W] 返回: Data(x=[N, C], edge_index=[2, E], edge_attr=[E, C]) """ C, H, W = map_probs.shape device = map_probs.device N = H * W # 1. 节点特征 node_features = map_probs.view(C, H * W).T # [N, C] edge_index, _ = grid(H, W) edge_index = edge_index.to(device) # 2. 构建所有可能的边连接 # node_indices = torch.arange(N, device=device).view(H, W) # # 水平连接(右邻居) # right_src = node_indices[:, :-1].flatten() # right_dst = node_indices[:, 1:].flatten() # # 垂直连接(下邻居) # down_src = node_indices[:-1, :].flatten() # down_dst = node_indices[1:, :].flatten() # # 合并边列表(双向) # edge_src = torch.cat([right_src, down_src]) # edge_dst = torch.cat([right_dst, down_dst]) # edge_index = torch.cat([ # torch.stack([edge_src, edge_dst], dim=0), # torch.stack([edge_dst, edge_src], dim=0) # 反向连接 # ], dim=1).to(device, dtype=torch.long) # # 3. 计算边特征 # src_feat = map_probs[:, edge_src // W, edge_src % W].T # [E, C] # dst_feat = map_probs[:, edge_dst // W, edge_dst % W].T # [E, C] # edge_attr = (src_feat + dst_feat) / 2 # [E, C] # edge_index, edge_attr = add_self_loops(edge_index, edge_attr) return Data( x=node_features, edge_index=edge_index, # edge_attr=edge_attr, num_nodes=N ) def batch_convert_soft_map_to_graph(batch_map_probs): """ 处理 batch 维度,将 [B, C, H, W] 转换为批量图结构 Batch """ B, C, H, W = batch_map_probs.shape # 获取 batch 维度 batch_graphs = [] for i in range(B): graph = differentiable_convert_to_data(batch_map_probs[i]) # 处理单个样本 batch_graphs.append(graph) # 合并所有图为批量 Batch return Batch.from_data_list(batch_graphs)