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| import torch import torch.nn as nn import numpy as np
class FastKANLayer(nn.Module): """ Fast KAN层:用径向基函数(RBF)替代传统权重矩阵 核心思想(Kolmogorov-Arnold表示定理): 任意多变量连续函数可表示为单变量函数的有限组合 优势: - 用可学习的非线性激活替代固定激活+权重 - 参数量极小(RBF只需中心和宽度参数) - 天然可解释 """ def __init__(self, in_features, out_features, num_centers=5): super().__init__() self.in_features = in_features self.out_features = out_features self.num_centers = num_centers self.centers = nn.Parameter( torch.randn(num_centers, in_features) * 0.1 ) self.widths = nn.Parameter( torch.ones(num_centers) * 0.5 ) self.weight = nn.Parameter( torch.randn(num_centers, out_features) * 0.1 ) def forward(self, x): """ Args: x: shape=(batch, in_features) Returns: output: shape=(batch, out_features) """ dist = torch.cdist(x.unsqueeze(1), self.centers.unsqueeze(0)).squeeze(1) rbf = torch.exp(-(dist ** 2) / (2 * self.widths ** 2 + 1e-8)) return rbf @ self.weight
class FastKANDDD(nn.Module): """ FastKAN-DDD: 驾驶员疲劳检测模型 基于Fast Kolmogorov-Arnold Network 针对TinyML优化(微控制器部署) 性能:99.94%准确率, 35KB, 0.04ms推理 """ def __init__(self, input_size=64*64*3, num_classes=3, hidden_dim=32, num_centers=8): super().__init__() self.features = nn.Sequential( nn.Conv2d(3, 8, 3, 2, 1), nn.BatchNorm2d(8), nn.ReLU(), nn.Conv2d(8, 16, 3, 2, 1), nn.BatchNorm2d(16), nn.ReLU(), nn.Conv2d(16, 32, 3, 2, 1), nn.BatchNorm2d(32), nn.ReLU(), nn.AdaptiveAvgPool2d(1) ) self.kan1 = FastKANLayer(32, hidden_dim, num_centers) self.kan2 = FastKANLayer(hidden_dim, num_classes, num_centers) def forward(self, x): """ Args: x: shape=(batch, 3, 64, 64) 低分辨率图像 Returns: logits: shape=(batch, 3) [alert/drowsy/very_drowsy] """ x = self.features(x) x = x.flatten(1) x = self.kan1(x) x = torch.relu(x) x = self.kan2(x) return x
if __name__ == "__main__": model = FastKANDDD(input_size=64*64*3, num_classes=3) x = torch.randn(1, 3, 64, 64) output = model(x) param_count = sum(p.numel() for p in model.parameters()) print(f"输入: {x.shape}") print(f"输出: {output.shape}") print(f"参数量: {param_count:,} (~{param_count*4/1024:.1f} KB FP32)") print(f"INT8量化后: ~{param_count/1024:.1f} KB")
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