Arc Gradient Descent: A Geometrically Motivated Gradient Descent-based Optimiser with Phase-Aware, User-Controlled Step Dynamics (proof-of-concept)

📰 ArXiv cs.AI

Arc Gradient Descent is a new optimizer with phase-aware, user-controlled step dynamics for improved convergence

advanced Published 25 Mar 2026
Action Steps
  1. Formulate the optimization problem using the ArcGD optimizer
  2. Implement the ArcGD optimizer on a non-convex benchmark function, such as the Rosenbrock function
  3. Evaluate the performance of ArcGD compared to existing optimizers, like Adam
  4. Apply the ArcGD optimizer to real-world ML datasets to assess its effectiveness
Who Needs to Know This

Machine learning researchers and engineers can benefit from this optimizer, as it provides more control over the optimization process and potentially leads to better convergence on complex problems

Key Insight

💡 The ArcGD optimizer offers user-controlled step dynamics, which can lead to improved convergence on complex, non-convex problems

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🚀 Introducing ArcGD: a geometrically motivated optimizer with phase-aware step dynamics! 💡
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