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5.82 kB
| import numpy as np | |
| import torch | |
| import torch.nn as nn | |
| import torch.nn.functional as F | |
| # MediaPipe skeletal anatomical connections | |
| MEDIAPIPE_EDGES = [ | |
| (0, 1), (1, 2), (2, 3), (0, 4), (4, 5), (5, 6), (3, 7), (6, 8), (9, 10), | |
| (11, 12), (11, 13), (13, 15), (12, 14), (14, 16), | |
| (15, 17), (15, 19), (15, 21), (17, 19), | |
| (16, 18), (16, 20), (16, 22), (18, 20), | |
| (11, 23), (12, 24), (23, 24), | |
| (23, 25), (25, 27), (27, 29), (29, 31), (27, 31), | |
| (24, 26), (26, 28), (28, 30), (30, 32), (28, 32) | |
| ] | |
| def get_normalized_adjacency(): | |
| """ | |
| Builds the normalized skeletal adjacency matrix A_norm for the 33 MediaPipe joints. | |
| A_norm = D^(-1/2) * (A + I) * D^(-1/2) | |
| """ | |
| num_nodes = 33 | |
| A = np.zeros((num_nodes, num_nodes), dtype=np.float32) | |
| # Add skeletal edges | |
| for i, j in MEDIAPIPE_EDGES: | |
| A[i, j] = 1.0 | |
| A[j, i] = 1.0 | |
| # Add self loops | |
| A_loop = A + np.eye(num_nodes, dtype=np.float32) | |
| # Calculate degree matrix D | |
| deg = np.sum(A_loop, axis=1) | |
| deg_inv_sqrt = np.power(deg, -0.5, where=deg>0) | |
| deg_inv_sqrt[deg == 0] = 0.0 | |
| D_inv_sqrt = np.diag(deg_inv_sqrt) | |
| # Symmetric normalization | |
| A_norm = D_inv_sqrt.dot(A_loop).dot(D_inv_sqrt) | |
| return torch.tensor(A_norm, dtype=torch.float32) | |
| class SpatialGraphConv(nn.Module): | |
| """ | |
| True Spatial Graph Convolutional Layer. | |
| Aggregates joint features along the normalized skeletal adjacency matrix A. | |
| """ | |
| def __init__(self, in_channels, out_channels, A_norm): | |
| super(SpatialGraphConv, self).__init__() | |
| self.register_buffer('A', A_norm) # Keep adjacency matrix on the correct device | |
| self.conv = nn.Conv2d(in_channels, out_channels, kernel_size=1) | |
| def forward(self, x): | |
| # x shape: [batch_size, in_channels, num_nodes, seq_len] -> [N, C, 33, T] | |
| # 1. Project features: W * X | |
| x = self.conv(x) # [N, C_out, 33, T] | |
| # 2. Graph aggregation: A * (W * X) | |
| # We multiply adjacency matrix A (shape [33, 33]) across the node dimension (dim=2) | |
| out = torch.einsum('vw,ncwt->ncvt', self.A, x) | |
| return out | |
| class TemporalConv(nn.Module): | |
| """ | |
| Temporal Convolutional Layer. | |
| Convolves features along the temporal dimension for each node independently. | |
| """ | |
| def __init__(self, in_channels, out_channels, kernel_size=9, stride=1, dropout=0.3): | |
| super(TemporalConv, self).__init__() | |
| padding = (kernel_size - 1) // 2 | |
| self.conv = nn.Conv2d( | |
| in_channels, | |
| out_channels, | |
| kernel_size=(kernel_size, 1), | |
| stride=(stride, 1), | |
| padding=(padding, 0) | |
| ) | |
| self.bn = nn.BatchNorm2d(out_channels) | |
| self.dropout = nn.Dropout(dropout) | |
| def forward(self, x): | |
| # x shape: [batch_size, in_channels, num_nodes, seq_len] -> [N, C, 33, T] | |
| # Swap node and temporal dimensions to convolve over time: [N, C, T, 33] | |
| x = x.transpose(2, 3) | |
| x = self.conv(x) | |
| x = self.bn(x) | |
| x = self.dropout(x) | |
| # Swap back: [N, C, 33, T] | |
| return x.transpose(2, 3) | |
| class STGCNBlock(nn.Module): | |
| """ | |
| A single Spatio-Temporal Graph Convolutional Block containing: | |
| 1. Spatial Graph Convolution (GCN) | |
| 2. Temporal Graph Convolution (TCN) | |
| """ | |
| def __init__(self, in_channels, out_channels, A_norm, stride=1, dropout=0.3): | |
| super(STGCNBlock, self).__init__() | |
| self.gcn = SpatialGraphConv(in_channels, out_channels, A_norm) | |
| self.tcn = TemporalConv(out_channels, out_channels, kernel_size=9, stride=stride, dropout=dropout) | |
| # Residual skip connection | |
| if in_channels != out_channels or stride != 1: | |
| self.residual = nn.Sequential( | |
| nn.Conv2d(in_channels, out_channels, kernel_size=1), | |
| nn.BatchNorm2d(out_channels) | |
| ) | |
| else: | |
| self.residual = nn.Identity() | |
| def forward(self, x): | |
| # x shape: [N, C_in, 33, T] | |
| res = self.residual(x) | |
| x = self.gcn(x) | |
| x = F.gelu(x) | |
| x = self.tcn(x) | |
| return F.gelu(x + res) | |
| # True ST-GCN Sequence Classifier (maintaining class name YogaSequenceLSTM for backend loading compatibility) | |
| class YogaSequenceLSTM(nn.Module): | |
| def __init__(self, input_dim, hidden_dim, num_layers, num_classes): | |
| super(YogaSequenceLSTM, self).__init__() | |
| A_norm = get_normalized_adjacency() | |
| # Input channels: 3 (x, y, z joint coordinates) | |
| self.block1 = STGCNBlock(3, 64, A_norm, stride=1, dropout=0.2) | |
| self.block2 = STGCNBlock(64, 128, A_norm, stride=1, dropout=0.3) | |
| self.block3 = STGCNBlock(128, 256, A_norm, stride=1, dropout=0.3) | |
| self.fc = nn.Sequential( | |
| nn.Linear(256, 128), | |
| nn.LayerNorm(128), | |
| nn.GELU(), | |
| nn.Dropout(0.4), | |
| nn.Linear(128, num_classes) | |
| ) | |
| def forward(self, x): | |
| # Input x shape: [batch_size, seq_len, input_dim] -> [batch_size, 60, 99] | |
| # Reshape to [batch_size, seq_len, 33, 3] and permute to [batch_size, channels=3, nodes=33, seq_len=60] | |
| batch_size = x.size(0) | |
| x_reshaped = x.view(batch_size, 60, 33, 3).permute(0, 3, 2, 1) # [batch_size, 3, 33, 60] | |
| # ST-GCN convolutions | |
| out = self.block1(x_reshaped) # [batch_size, 64, 33, 60] | |
| out = self.block2(out) # [batch_size, 128, 33, 60] | |
| out = self.block3(out) # [batch_size, 256, 33, 60] | |
| # Global Pooling over both Spatial nodes (33) and Temporal frames (60) | |
| # out shape: [batch_size, 256] | |
| out = F.adaptive_avg_pool2d(out, (1, 1)).view(out.size(0), -1) | |
| return self.fc(out) | |