Intrinsic Dimension Part 2: Measuring the True Complexity of a Model via Random Subspace Training
In Part I of this series, we delved into the concept of Intrinsic Dimension (ID) and its implications on fine-tuning. To recap, the intrinsic dimension of an objective function measures the minimal number of parameters needed to achieve satisfactory performance on a given task (Li et al.,¹). For example, in their seminal work, the authors demonstrated that a fully connected neural network with a total of parameters (architecture: 784–200–200–10) achieved a 90% performance threshold on the MNIST dataset with an...
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