Llm

Table of Contents Introduction Probability Fundamentals Conditional Probability and the Chain Rule Probability Distributions How LLMs Use Probability From Theory to Practice Common Misconceptions Conclusion Resources Introduction If you’ve ever wondered how ChatGPT, Claude, or other large language models generate coherent text that seems almost human-like, the answer lies in mathematics—specifically, probability theory. While the internal mechanics of these models involve complex neural networks and billions of parameters, at their core, they operate on a surprisingly elegant principle: predicting the next word by calculating probabilities. ...

Table of Contents Introduction Understanding the Foundations Setting Up Your Django Project Integrating LLM Models with Django Building Views and API Endpoints Database Design for LLM Applications Frontend Integration with HTMX Advanced Patterns and Best Practices Scaling and Performance Optimization Deployment to Production Resources and Further Learning Introduction Building web applications that leverage Large Language Models (LLMs) has become increasingly accessible to Django developers. Whether you’re creating an AI-powered chatbot, content generation tool, or intelligent assistant, Django provides a robust framework for integrating LLMs into production applications. ...

Why Most RAG Systems Fail Most Retrieval-Augmented Generation (RAG) systems do not fail because of the LLM. They fail because of bad chunking. If your retrieval results feel: Random Hallucinated Incomplete Loosely related to the query Then your embedding model and vector database are probably fine. Your chunking strategy is the real bottleneck. Chunking determines what the model is allowed to know. If the chunks are wrong, retrieval quality collapses — no matter how good the LLM is. ...

As LLM-powered systems have grown more capable, they have also grown more complex. By 2025, most production-grade AI systems no longer rely on a single monolithic agent. Instead, they are composed of multiple specialized sub-agents, each responsible for a narrow slice of reasoning, execution, or validation. Sub-agents enable scalability, reliability, and controllability. They allow systems to decompose complex goals into manageable units, reduce context pollution, and introduce clear execution boundaries. This document provides a deep technical explanation of how sub-agents work, how they are orchestrated, and the dominant architectural patterns used in real-world systems, with links to primary research and tooling. ...

By 2025, Large Language Models (LLMs) have evolved from isolated text-generation systems into general-purpose reasoning engines embedded deeply into modern software systems. This evolution has been driven by: Agentic workflows Retrieval-augmented generation Standardized tool interfaces Long-context reasoning Stronger evaluation and observability layers This article provides a system-level overview of the most important LLM tools and concepts shaping 2025, with direct links to specifications, repositories, and primary sources. 1. Frontier Language Models & Architectural Shifts 1.1 Frontier Closed-Source Models Closed-source models lead in reasoning depth, multimodality, and safety research. ...