A Preliminary Agentic Framework for Matrix Deflation

arXiv — cs.LGWednesday, January 14, 2026 at 5:00:00 AM
  • A new framework for matrix deflation has been proposed, utilizing an agentic approach where a Large Language Model (LLM) generates rank-1 Singular Value Decomposition (SVD) updates, while a Vision Language Model (VLM) evaluates these updates, enhancing solver stability through in-context learning and strategic permutations. This method was tested on various matrices, demonstrating promising results in noise reduction and accuracy.
  • This development is significant as it showcases the potential of combining LLMs and VLMs to tackle complex mathematical problems, moving beyond traditional fixed norm thresholds and offering a more adaptive solution to matrix deflation.
  • The integration of LLMs and VLMs reflects a growing trend in AI research, emphasizing the importance of multi-agent systems and their applications across various domains, including image processing and time series forecasting. This approach aligns with ongoing efforts to improve the efficiency and effectiveness of AI models in diverse tasks.
— via World Pulse Now AI Editorial System

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