Data Sets – xLLM and AI Technology

Data Sets Experimental Math Featured Posts Statistical Science Synthetic Data

How Random are the Digits of π? State of the Art & Free Book on the Topic

Over the last 10 years, I spent a lot of time analyzing the digits of the classic math constants such as π, e, log 2, √2 and so on. Not testing them for randomness but trying to formally prove that they are undistinguishable from random bit streams. And trying to identify which constants are the […]

Computer Vision Data Sets Featured Posts Python Statistical Science Visualization

Pi Day in the age of AI — The Missing $1m Millenium Prize

Pi Day is celebrated every year on 3/14. Enjoy and share the video I created with our “Pi Day AI agent” at BondingAI, generating hundreds of webpages, turning each one in a screenshot (a frame in the video). All done in Python with source code available here. The video is also on YouTube, here. For […]

Computer Vision Data Sets Explainable AI Featured Posts Generative AI Time Series

Cybersecurity Use Case: AI Agent for Anomaly Detection – Part 2

In the first part of this series, here, I feature a click fraud case that we are working on, litigated by one of the largest law firms in the US. The input data comes from an Excel repository, automatically processed by an AI agent part of our BondingAI enterprise solutions. It comes with insights generation […]

Data Sets Deep Learning Explainable AI Featured Posts Generative AI Python Synthetic Data

A New Type of Non-Standard High Performance DNN with Remarkable Stability

I explore deep neural networks (DNNs) starting from the foundations, introducing a new type of architecture, as much different from machine learning than it is from traditional AI. The original adaptive loss function introduced here for the first time, leads to spectacular performance improvements via a mechanism called equalization. To accurately approximate any response, rather […]

Books Courses Data Sets Explainable AI Featured Posts Generative AI Natural Language Processing Python Synthetic Data

10 Must-Read Articles and Books About Next-Gen AI in 2025

You could call it the best kept secret for professionals and experts in AI, as you won’t find these books and articles in traditional outlets. Yet, they are read by far more people than documents posted on ArXiv or published in scientific journals, so not really a secret. Actually, one of these books is also […]

Data Sets Experimental Math Featured Posts Python Synthetic Data

Universal Dataset to Test, Enhance and Benchmark AI Algorithms

This scientific research has three components. First, my most recent advances towards solving one of the most famous, multi-century old conjectures in number theory. One that kids in elementary school can understand, yet incredibly hard to prove. At the very core, it is about the spectacular quantum dynamics of the digit sum function. Then, I […]

Data Sets Experimental Math Featured Posts Machine Learning Natural Language Processing Python Stochastic Systems

LLM Challenge with Petabytes of Data to Prove Famous Number Theory Conjecture

In my recent article “Piercing the Deepest Mathematical Mystery” posted here, I paved the way to proving a famous multi-century old conjecture: are the digits of major mathematical constant such as π, e, log 2, or √2 evenly distributed? No one before ever managed to prove even the most basic trivialities, such as whether the […]

Data Sets Explainable AI Featured Posts Python Statistical Science Stochastic Systems Visualization

Visualizing Trading Strategies that Consistently Outperform the Stock Market

In this short paper, I discuss two topics. First, strategies to trade the S&P 500 index with few trades over long time periods, offering best exit, entry and re-entry points during the journey, to beat the baseline return. The baseline consists of staying long the whole time. The dataset has 40 years’ worth of daily […]

Data Sets Explainable AI Featured Posts Machine Learning Natural Language Processing Python

Hyperfast Contextual Custom LLM with Agents, Multitokens, Explainable AI, and Distillation

For the most recent article discussing the xLLM web API, follow this link. I discuss version 2.0 of my enterprise multi-LLM system called xLLM. Version 1.0 was presented in my recent article entitled “Custom Enterprise LLM/RAG with Real-Time Fine-Tuning”, posted here. Since version 2.0 is backward-compatible and consists of several important additions, I included all […]

Data Sets Explainable AI Featured Posts Generative AI Natural Language Processing Python

Custom Enterprise LLM/RAG with Real-Time Fine-Tuning

This article features an application of xLLM to extract information from a corporate corpus, using prompts referred to as “queries”. The goal is to serve the business user — typically an employee of the company or someone allowed access — with condensed, relevant pieces of information including links, examples, PDFs, tables, charts, definitions and so […]

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