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  5. LazyLinear

torch.nn.LazyLinear

class LazyLinear extends Module
new LazyLinear(out_features: number, options?: LinearOptions)
weight(Parameter | UninitializedParameter)
bias(Parameter | UninitializedParameter | null)
readonlyout_features(number)
readonlyuse_bias(boolean)
readonlyin_features(number)

Lazy fully connected layer: defers weight initialization until first forward pass.

Computes y = xW^T + b like Linear, but avoids specifying in_features at creation time. Automatically infers in_features from the input's last dimension on first forward pass, then initializes weights with Kaiming uniform. Essential for:

  • Models with dynamically determined input shapes
  • Generic architectures where input size varies
  • Sequential models built dynamically
  • Avoiding manual calculation of intermediate dimensions
  • APIs where input shape is only known at runtime

Unlike Linear which requires knowing in_features upfront, LazyLinear defers this until the first forward pass. After materialization, it behaves identically to Linear with the same performance and learned parameters.

When to use LazyLinear:

  • Input size is unknown at module creation (only known after previous layer)
  • Building sequential models programmatically with dynamic architecture
  • Simplifying model definition code (skip manual dimension calculations)
  • Generic architectures that work with variable input dimensions
  • Prototyping when you don't want to track tensor shapes manually

Trade-offs:

  • vs Linear: LazyLinear doesn't need in_features; Linear requires it upfront
  • Initialization: Same Kaiming uniform initialization as Linear after materialization
  • First forward: Slightly slower due to materialization on first call
  • Parameters: Same parameters as Linear once initialized
  • Code clarity: May be less clear than explicit Linear dimensions in some cases
  • Debugging: Uninitialized state can be confusing without checking has_uninitialized_params()

Lazy Initialization Process:

  1. Create LazyLinear(out_features) without specifying in_features
  2. On first forward(input), extract in_features from input.shape[-1]
  3. Initialize weight as [out_features, in_features] with Kaiming uniform
  4. Initialize bias as [out_features] with zeros (if bias=true)
  5. Subsequent forwards use materialized parameters like regular Linear
y=xWT+bWeight init (Kaiming uniform): W∼U(−k,k) where k=1in_features\begin{aligned} y = xW^T + b \\ \text{Weight init (Kaiming uniform): } W \sim \mathcal{U}(-\sqrt{k}, \sqrt{k}) \text{ where } k = \frac{1}{\text{in\_features}} \end{aligned}y=xWT+bWeight init (Kaiming uniform): W∼U(−k​,k​) where k=in_features1​​
  • Lazy initialization: Parameters are None until first forward pass
  • Materialization: In_features automatically determined from input's last dimension
  • Same initialization: Uses Kaiming uniform like Linear after materialization
  • No overhead: After first forward, performance identical to Linear
  • Serialization: Must handle uninitialized state when saving/loading models
  • Type checking: Since in_features is inferred, some type safety is deferred to runtime
  • Batch dimension: Input can have any batch dimensions; only last dim used for in_features
  • 1D inputs: Supports both [features] and [batch, features] shapes
  • Uninitialized parameters: Before first forward, weight and bias are uninitialized
  • First forward slower: Materialization adds overhead to first forward call
  • Serialization issues: Saving module before first forward may cause issues
  • Debugging difficulty: Uninitialized state can cause unexpected behavior if not checked
  • Dimension mismatch: If input's last dimension changes between forwards, it causes errors

Examples

// Simple lazy initialization - input size unknown
const lazy_layer = new torch.nn.LazyLinear(128);
console.log(lazy_layer.in_features);  // 0 (not yet initialized)

const x = torch.randn([32, 256]);     // 256 input features
const output = lazy_layer.forward(x); // [32, 128]
console.log(lazy_layer.in_features);  // 256 (now materialized)
// Sequential model with unknown intermediate dimensions
class SimpleNet extends torch.nn.Module {
  conv: torch.nn.Conv2d;
  flatten: () => void;
  fc: torch.nn.LazyLinear;  // Don't know flatten output size!

  constructor() {
    super();
    this.conv = new torch.nn.Conv2d(3, 64, 5);      // RGB -> 64 channels
    this.fc = new torch.nn.LazyLinear(10);           // Output: 10 classes, input unknown
  }

  forward(x: torch.Tensor): torch.Tensor {
    x = this.conv.forward(x);                        // [B, 64, ...]
    x = x.reshape([x.shape[0], -1]);                 // Flatten to [B, 64*...]
    x = this.fc.forward(x);                          // [B, 10] (in_features auto-inferred)
    return x;
  }
}

// Usage - no manual dimension tracking needed!
const model = new SimpleNet();
const input = torch.randn([4, 3, 32, 32]);           // 4 RGB images, 32x32
const output = model.forward(input);                 // [4, 10]
// Dynamic architecture: number of layers determined at runtime
class DynamicMLP extends torch.nn.Module {
  layers: torch.nn.LazyLinear[];

  constructor(num_layers: number, output_size: number) {
    super();
    this.layers = [];
    for (let i = 0; i < num_layers; i++) {
      const layer = new torch.nn.LazyLinear(256);  // Hidden size: 256
      this.layers.push(layer);
      this.register_module(`layer_${i}`, layer);
    }
    this.layers.push(new torch.nn.LazyLinear(output_size));  // Output layer
  }

  forward(x: torch.Tensor): torch.Tensor {
    for (const layer of this.layers.slice(0, -1)) {
      x = layer.forward(x);
      x = torch.relu(x);
    }
    x = this.layers[this.layers.length - 1].forward(x);  // Final layer
    return x;
  }
}

// Create 5-layer MLP without knowing input size
const model = new DynamicMLP(5, 10);
const x = torch.randn([32, unknown_input_dim]);  // Input size determined at runtime
const output = model.forward(x);
// Checking initialization state
const lazy = new torch.nn.LazyLinear(64);

if (lazy.has_uninitialized_params()) {
  console.log('Parameters not initialized yet');
}

const x = torch.randn([8, 32]);
lazy.forward(x);  // First forward - materializes parameters

if (!lazy.has_uninitialized_params()) {
  console.log(`Parameters initialized: in_features=${lazy.in_features}`);
  // Now lazy behaves like Linear(32, 64)
}
// Lazy layer in feature extraction pipeline
class FeatureExtractor extends torch.nn.Module {
  feature_layers: torch.nn.Module[];
  classifier: torch.nn.LazyLinear;

  constructor() {
    super();
    // Build feature extraction layers
    this.feature_layers = [
      new torch.nn.Conv2d(3, 32, 3),
      new torch.nn.ReLU(),
      new torch.nn.Conv2d(32, 64, 3),
      new torch.nn.ReLU(),
    ];

    // Classifier: don't know flatten size until first forward
    this.classifier = new torch.nn.LazyLinear(10);
  }

  forward(x: torch.Tensor): torch.Tensor {
    for (const layer of this.feature_layers) {
      if (layer instanceof torch.nn.Conv2d || layer instanceof torch.nn.ReLU) {
        x = layer.forward(x);
      }
    }
    x = x.reshape([x.shape[0], -1]);  // Flatten
    return this.classifier.forward(x);
  }
}

See Also

  • PyTorch torch.nn.LazyLinear
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