NextGen AI Research and Development

Private self-funded, independent AI lab developing innovative open-source technology. The following content (books, articles, source code, data sets, tutorials) also includes material available to subscribers only. 

xLLM – NextGen AI developed for BondingAI.io

Newsletter Subscription

Sign up to our free monthly newsletter at the bottom of this page. Newsletter subscription is free. It comes with a 20% discount code applicable to all our books. You can unsubscribe at any time. The monthly newsletter features new blog posts and other resources regularly posted on our website.


Books and Certifications

Blog posts are available to everyone from our home page. Books currently available are listed below, and available from our e-Store. Once downloaded, you can use Chrome, Edge or any PDF viewer to read them and access all the navigation features: external and internal links are then clickable as any link on a webpage.

  1. 0 and 1 – From Elemental Math to Quantum AI
  2. Building Disruptive AI & LLM Technology from Scratch 
  3. State of the Art in GenAI & LLMs — Creative Projects, with Solutions
  4. Statistical Optimization for Generative AI and Machine Learning
  5. Gentle Introduction To Chaotic Dynamical Systems
  6. Synthetic Data and Generative AI
  7. Intuitive Machine Learning and Explainable AI
  8. Stochastic Processes and Simulations

For the GenAI Fellowship program and certification, follow this link


Free Technical Articles

Articles flagged with † require an access code to download the full PDF version and intended to subscribers only. To subscribe (free), sign-up to our newsletter at the bottom of this page. You will receive the access code which also gives you a 20% discount on all our books. Articles or books flagged with †† require special authorization to download the PDF, typically granted to select investors or clients after signing an NDA. Contact the author for details.

  1. Watermarking and Forensics for AI Models, Data, and Deep Neural Networks. ††
    Read summary. October 2025.
  2. How Synthetic Primes Reveal the Quantum States in the Riemann Hypothesis.
    Download PDF | Read summary. September 2025. 
  3. A New Type of Non-Standard High Performance DNN with Remarkable Stability. 
    Download PDF | Read summary. May 2025.
  4. Quantum Dynamics, Logistic Map, and Digit Distribution of Special Math Constants.
    Download PDF | Read summary. May 2025. 
  5. A Universal Dataset to Test, Enhance and Benchmark AI Algorithms.
    Download PDF | Read summary. April 2025. 
  6. LLM Challenge with Petabytes of Data to Prove Famous Number Theory Conjecture.
    Download PDF | Read summary. March 2025. 
  7. Piercing the Deepest Mathematical Mystery.
    Download PDF | Read summary. February 2025. 
  8. Blueprint: Next-Gen Enterprise RAG & LLM 2.0 – Nvidia PDFs Use Case. ††
    Access document. January 2025. 
  9. How the Brain Estimates Distances, Heights and Velocities, with Computer Vision Applications.
    Download PDF | Read summary. December 2024. 
  10. LLM Deep Contextual Retrieval and Multi-Index Chunking: Nvidia PDFs, Case Study.
    Download PDF | Read summary. November 2024. 
  11. Visualizing Trading Strategies that Consistently Outperform the Stock Market.
    Download PDF | Read summary. October 204. 
  12. Building a Ranking System to Enhance Prompt Results.
    Download PDF | Read summary. October 2024.
  13. Hyperfast Contextual Custom LLM with Agents, Multitokens, Explainable AI, and Distillation.
    Download PDF | Read summary. September 2024. 
  14. Fast Random Generators with Infinite Period for Large-Scale Reproducible AI and Cryptography.
    Download PDF | Read summary. August 2024. 
  15. Custom Enterprise LLM/RAG with Real-Time Fine-Tuning.
    Download PDF | Read summary. July 2024. 
  16. Synthesizing Multi-Table Databases: Model Evaluation & Vendor Comparison.
    Download PDF | Read summary. June 2024. 
  17. GenAI Evaluation Metrics: Your Best Loss Functions to Boost Quality.
    Read summary and download PDF. May 2024.  
  18. Breakthrough: Zero-Weight LLM for Accurate Predictions and High-Performance Clustering.
    Read summary and download PDF. May 2024.
  19. Build and Evaluate High Performance Taxonomy-Based LLMs From Scratch.
    Read summary and download PDF. April 2024.
  20. Hallucination-Free, Self-Tuned, Fast Hierarchical LLMs with Multi-Token Embeddings
    Read summary and download PDF. April 2024.
  21. Extreme LLM: Case Study, Documentation, Best Practices, and Python sources
    Read summary and download PDF. March 2024.
  22. Probabilistic Nearest Neighbor Search: The Swiss Army Knife of GenAI
    Download PDF | Read summary. February 2024.
  23. New GenAI Evaluation Metrics, Ultrafast Search, and Perfect Randomness
    Download PDF | Read summary. January 2024.
  24. Genome: Synthesizing DNA Sequences with LLM Techniques
    Download PDF | Read summary. November 2023.
  25. Sampling Outside the Observation Range with Quantile Convolution
    Download PDF | Read summary. November 2023.
  26. Quantum derivatives, GenAI, and the Riemann Hypothesis
    Download PDF | Read summary. November 2023.
  27. GenAI: Fast Data Synthetization with Distribution-free Hierarchical Bayesian Models †
    Download PDF | Read summary. September 2023. 
  28. Generative AI: How to Fix a Failing GAN Synthesizer †
    Download PDF | Read summary. August 2023. 
  29. Generative AI Technology Break-through: Spectacular Performance of New Synthesizer †
    Download PDF | Read summary. August 2023. 
  30. Synthesizing Geospatial Data with A Simple NoGAN Technique †
    Download PDF | Read summary. July 2023. 
  31. Sound Generation in Python: Turning Your Data into Music
    Download PDF | Read summary. July 2023.
  32. Generative AI: Synthetic Data Vendor Comparison and Benchmarking Best Practices
    Download PDF | Read summary. June 2023.
  33. A Synthetic Stock Exchange Played with Real Money
    Download PDF | Read summary. May 2023.
  34. Generating and Videolizing Agglomerative Processes †
    Download PDF | Read summary. April 2023. 
  35. Massively Speed-Up your Learning Algorithm, with Stochastic Thinning †
    Download PDF | Read summary. April 2023. 
  36. Smart Grid Search for Hyperparameter Tuning †
    Download PDF | Read summary. March 2023. 
  37. Feature Clustering: A Simple Solution to Many Machine Learning Problems †
    Download PDF | Read summary. March 2023.
  38. Data Synthetization: enhanced GANs vs Copulas †
    Download PDF | Read summary. March 2023. 
  39. Introduction to Discrete Chaotic Dynamical Systems †
    Download PDF | Read summary. February 2023. 
  40. Random Walks, Brownian Motions, and Related Stochastic Processes †
    Download PDF | Read summary. February 2023. 
  41. Math-free, Parameter-free Gradient Descent in Python †
    Download PDF | Read summary. January 2023. 
  42. New Interpolation Method for Data Synthetization and Prediction †
    Download PDF | Read summary. January 2023. 
  43. Military-grade Fast Random Number Generator Based on Quadratic Irrationals
    Download PDF | Read summary. December 2022.
  44. Empirical Optimization with Divergent Fixed-Point Algorithm – When All Else Fails
    Download PDF | Read summary. December 2022.
  45. Spectacular Videos: Synthetic Universes, with Star Collision Graph †
    Download PDF | Read summary. November 2022. 
  46. Dynamic Clouds and Landscape Generation: Morphing and Evolutionary Processes †
    Download PDF | Read summary. November 2022. 
  47. Advanced Machine Learning with Basic Excel — Simple Alternative to XGBoost †
    Download PDF | Read summary. September 2022. 
  48. Machine Learning Cloud Regression: The Swiss Army Knife of Optimization †
    Download PDF | Read summary. August 2022. 
  49. Weird Random Walks: Synthetizing, Testing and Leveraging Quasi-randomness †
    Download PDF | Read summary. August 2022. 
  50. Detecting Subtle Departures from Randomness †
    Download PDF | Read summary. July 2022.
  51. Classification and Clustering via Image Convolution Filters — Alternative to Generative Mixture Models †
    Download PDF | Read summary. June 2022. 
  52. The Art of Visualizing High Dimensional Data †
    Download PDF | Read summary. June 2022. 
  53. Gentle Introduction to Linear Algebra, with Spectacular Applications †
    Download PDF | Read summary. June 2022. 
  54. Interpretable Machine Learning: Multipurpose, Model-free, Math-free Fuzzy Regression †
    Download PDF | Read summary. May 2022. 
  55. Classification of Shapes via Explainable AI †
    Download PDF | Read summary. April 2022. 
  56. Interpretable Machine Learning on Synthetic Data, and Little-Known Secrets About Linear Regression 
    Download PDF | Read summary. May 2022. 
  57. New Perspective on the Riemann Hypothesis
    Download PDF | Read summary. July 2022. 

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