Using AI to Solve the Deepest Math Conjectures
Tools such as OpenAI can on occasion give the impression that they are able to prove theorems and even generalize them. Whether this is a… Read More »Using AI to Solve the Deepest Math Conjectures
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The Mathematics of AI
The mathematics rubric includes articles that focus primarily upon the mathematical underpinnings of machine learning, data analytics and cognitive computing. These articles either cover mathematical notation extensively or deal with mathematical principles that influence the code and models used in data science.
More Math Hallucinations with OpenAI, worse with Gemini
This is not just another rant about OpenAI. I actually have something very positive to say, even if in the end, the answer to my… Read More »More Math Hallucinations with OpenAI, worse with Gemini
A neurosymbolic AI approach to learning + reasoning
Image by 10302144 from Pixabay Eric Baum in his book What Is Thinking? defines understanding as “a compressed representation of the world.” Another word for… Read More »A neurosymbolic AI approach to learning + reasoning
Digital twins, interoperability and FAIR model-driven development
Image by Cathrin2014 from Pixabay In July 2023, Teresa Tung, managing director and cloud-first chief technologist at Accenture, gave a Factory of the Future talk… Read More »Digital twins, interoperability and FAIR model-driven development
New Book: Statistical Optimization for GenAI and Machine Learning
In the last two years, I published 5 machine learning and AI books, including one on synthetic data by Elsevier. This represents over 800 pages… Read More »New Book: Statistical Optimization for GenAI and Machine Learning
The music of the Riemann Hypothesis: Sound Generation in Python
Not long ago, I published an article entitled “The Sound that Data Makes”. The goal was turning data — random noise in this case —… Read More »The music of the Riemann Hypothesis: Sound Generation in Python
An Intriguing Job Interview Question for AI/ML Professionals
In my last project, I had to come up with some code and algorithm to solve an interesting problem. I realized that it could lead… Read More »An Intriguing Job Interview Question for AI/ML Professionals
New Book: Gentle Introduction to Chaotic Dynamical Systems
In less than 100 pages, the book covers all important topics about discrete chaotic dynamical systems. It also includes related time series and stochastic processes,… Read More »New Book: Gentle Introduction to Chaotic Dynamical Systems
AI Effectiveness Starts by Understanding User Intent
If you want any more proof about how much AI has integrated itself into our daily lives, go no further than the map on your… Read More »AI Effectiveness Starts by Understanding User Intent
An Empirical Proof of the Riemann Conjecture
The correct term should be heuristic proof. It is not a formal proof from a mathematical point of view, but strong arguments based on empirical… Read More »An Empirical Proof of the Riemann Conjecture