Science in Action | By Times Of Um6p
Dr. Tariq Daouda explores Free Probability Theory in AI research, optimizing neural networks for stability and efficiency. Discover its impact on AI development

Artificial intelligence is evolving at an unprecedented pace, transforming industries such as healthcare, finance, energy, and advanced technologies. Despite these advancements, AI development still faces significant challenges. Model instability, high computational costs, and inefficient training processes continue to hinder the scalability and effectiveness of AI systems.
To overcome these obstacles, researchers at University Mohammed VI Polytechnic (UM6P), led by Dr. Tariq Daouda in collaboration with Reda Chhaibi from the Institut de Mathématiques de Toulouse, have introduced Free Probability Theory (FPT) as a revolutionary mathematical approach. By applying FPT to AI model optimization, they aim to enhance stability, reduce energy consumption, and improve overall efficiency. This innovative framework allows researchers to predict AI performance before training, minimizing computational waste and ensuring that neural networks become more reliable, adaptable, and sustainable.
This research was recently published at NeurIPS (Neural Information Processing Systems), one of the world’s most prestigious AI conferences, marking a major milestone for Moroccan AI research.
The Bottlenecks in AI Development
From self-driving cars to advanced drug discovery, AI is pushing the boundaries of what technology can achieve. However, current machine learning models encounter key limitations that slow progress and increase costs.
One major challenge is high energy consumption. Training large-scale AI models requires enormous computational resources, leading to excessive energy usage and raising environmental concerns. Another issue is the instability of learning models. AI systems often exhibit unpredictable behavior, limiting their reliability in real-world applications. In addition, training inefficiencies persist. The traditional trial-and-error approach to AI development is slow and costly, making it difficult to scale AI solutions effectively.
Dr. Daouda and his team believe that mathematics holds the key to overcoming these challenges.
A Mathematical Breakthrough for AI
At UM6P, researchers are applying Free Probability Theory (FPT) to evaluate and optimize AI models. Originally developed in the field of mathematics, FPT provides a powerful framework for understanding the behavior of large, complex systems, including neural networks.
Predicting AI performance before training becomes possible through FPT, allowing researchers to analyze AI stability in advance and reduce computational waste. By identifying potential failures early in the process, AI models can be optimized for better accuracy and robustness. Furthermore, avoiding unnecessary training cycles significantly lowers AI’s environmental footprint, making the technology more sustainable.
In their NeurIPS 2022 paper, Dr. Daouda and his team demonstrated how FPT can model AI stability using spectral density analysis of the Jacobian matrix. Their research introduced Newton Lilypads, a novel computational tool that enables faster and more precise predictions of model reliability. This method was found to correlate up to 85% with final test accuracy, offering a groundbreaking solution for efficient AI development.
“Perception is a major challenge in AI,” says Dr. Daouda. “With Free Probability Theory, we can add an extra layer of mathematical reasoning, allowing AI to process information more efficiently and reliably.”
Newton Lilypads: A Revolutionary AI Tool
One of the key innovations emerging from UM6P’s research is Newton Lilypads, an advanced computational tool designed to refine AI development.
This tool detects weak AI models before training, preventing instability and failure. By optimizing neural networks, Newton Lilypads reduces training time and computational costs, accelerating AI research and enabling faster breakthroughs across multiple industries. This approach has the potential to redefine AI development, making it more sustainable and accessible on a global scale.
Transforming Industries with Smarter AI
The impact of this research extends far beyond academia. AI models enhanced with FPT have applications across various industries, creating tangible benefits in multiple sectors
In healthcare, more accurate AI-driven diagnostics and faster drug discovery processes lead to improved treatments and better patient care
In renewable energy, smarter AI-optimized grid management contributes to more efficient and sustainable energy use
In business and finance, AI-driven decision-making becomes more reliable, helping companies make data-driven choices with confidence
A Milestone for Moroccan AI Research
This breakthrough marks a historic achievement, as UM6P becomes the first Moroccan university to publish at NeurIPS, one of the world’s most prestigious AI research conferences.
“This milestone places Morocco at the forefront of global AI innovation,” says Dr. Daouda. “It’s just the beginning of what we can achieve with mathematics and AI.”
Read the NeurIPS publication
The impact of Moroccan AI
Read Dr. Tariq Daouda’s full biography
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