内卷地狱

Linear Algebra

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Core Concepts

  • Vector
  • Matrix
  • Tensor
  • Eigenvalue / eigenvector
  • SVD (Singular Value Decomposition)
  • PCA (Principal Component Analysis)

Applications in Large Models

Embedding

  • Word vectors and Token embeddings are fundamentally high-dimensional vectors.

Attention Mechanism

  • QKV matrix multiplication
  • Core computation in self-attention (dot product)

Transformer Architecture

  • Various layers (Linear Layer)
  • Residual connections
  • Feed-Forward Network
    → All involve matrix operations

Model Parameters

  • The entire model's parameter count can be represented using matrices and tensors.

Dimensionality Reduction and Visualization

  • Reducing the dimensionality of embedding spaces (t-SNE, UMAP, PCA) for analysis.

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