Training Dynamics and Inference Guarantees of the In-Context Gradient-Descent Mechanism

Key Points

• The aim is to establish a formal identity for transformers in implementing gradient descent on a least-squares objective.
• Formal verification using Lean 4 and Python verification scripts.
• Demonstration of the gradient-descent mechanism (ICL=GD) in transformers.
• Part of The Latent research program.
• Validation of the ICL=GD mechanism in transformers through machine-checking.
• Findings offer new insights into the training dynamics of transformers in machine learning.