Concept

Standard Optimization Objective for Transformer Language Models

The training of Transformer-based language models is generally formulated as a standard neural network optimization task. The goal is to find the optimal model parameters θ^\hat{\theta} by maximizing a likelihood-based objective function over a dataset D\mathcal{D}, mathematically expressed as θ^=arg maxθxDLθ(x)\hat{\theta} = \argmax_{\theta} \sum_{\mathbf{x} \in \mathcal{D}} \mathcal{L}_{\theta}(\mathbf{x}). This optimization process is typically implemented using gradient descent algorithms, which are well-supported by standard deep learning toolkits.

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Updated 2026-05-02

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Foundations of Large Language Models Course

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Ch.2 Generative Models - Foundations of Large Language Models

Foundations of Large Language Models

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