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  5. LazyBatchNorm2d

torch.nn.LazyBatchNorm2d

class LazyBatchNorm2d extends _LazyBatchNorm

Lazy Batch Normalization 2D: automatically infers number of channels for 2D convolutions.

Extends BatchNorm2d with lazy initialization of parameters. Number of channels is automatically inferred from the first input. Essential for:

  • Building convolutional networks without knowing exact feature dimensions
  • Sequential/functional API where layer sizes change dynamically
  • Cleaner model code with less dimension bookkeeping
  • Reducing errors from manual channel counting

Same behavior as LazyBatchNorm1d but for 2D inputs (4D tensors: [batch, channels, height, width]). Automatically determines num_features from input.shape[1] on first forward pass.

μB=1BHW∑b,h,wx[b,c,h,w],σB2=1BHW∑b,h,w(x[b,c,h,w]−μB)2 (per channel)xnorm=x−μBσB2+ϵ,y=γxnorm+β\begin{aligned} \mu_B = \frac{1}{BHW} \sum_{b,h,w} x[b,c,h,w], \quad \sigma_B^2 = \frac{1}{BHW} \sum_{b,h,w} (x[b,c,h,w] - \mu_B)^2 \text{ (per channel)} \\ x_{\text{norm}} = \frac{x - \mu_B}{\sqrt{\sigma_B^2 + \epsilon}}, \quad y = \gamma x_{\text{norm}} + \beta \end{aligned}μB​=BHW1​b,h,w∑​x[b,c,h,w],σB2​=BHW1​b,h,w∑​(x[b,c,h,w]−μB​)2 (per channel)xnorm​=σB2​+ϵ​x−μB​​,y=γxnorm​+β​
  • Input format: Expects 4D input (batch, channels, height, width)
  • Channel inference: num_channels inferred from input.shape[1]
  • Initialization: Parameters created on first forward, not at construction
  • Spatial dimensions: Works with any spatial dimensions (adaptive)
  • First forward pass initializes parameters (slight overhead)
  • Input must be 4D (batch + channels + 2 spatial dimensions)
  • All forward passes must have same channel dimension (after initialization)

Examples

// Lazy BatchNorm for 2D convolutions
const conv = new torch.nn.Conv2d(3, 64, 3, { padding: 1 });
const lazy_bn = new torch.nn.LazyBatchNorm2d();  // Infers 64 channels automatically

const image = torch.randn([32, 3, 224, 224]);
let x = conv.forward(image);  // [32, 64, 224, 224]
x = lazy_bn.forward(x);  // Initializes with 64 channels, then normalizes
// Sequential CNN with lazy normalization
class SimpleCNN extends torch.nn.Module {
  conv1: torch.nn.Conv2d;
  bn1: torch.nn.LazyBatchNorm2d;
  conv2: torch.nn.Conv2d;
  bn2: torch.nn.LazyBatchNorm2d;

  constructor() {
    super();
    this.conv1 = new torch.nn.Conv2d(3, 32, 3, { padding: 1 });
    this.bn1 = new torch.nn.LazyBatchNorm2d();
    this.conv2 = new torch.nn.Conv2d(32, 64, 3, { padding: 1 });
    this.bn2 = new torch.nn.LazyBatchNorm2d();
  }

  forward(x: torch.Tensor): torch.Tensor {
    x = torch.relu(this.bn1.forward(this.conv1.forward(x)));
    x = torch.relu(this.bn2.forward(this.conv2.forward(x)));
    return x;
  }
}

See Also

  • PyTorch torch.nn.LazyBatchNorm2d
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