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Table of Contents Diagonalize Matrix for Data Compression with Singular Value Decomposition What Is Matrix Diagonalization? Mathematical Definition Singular Value Decomposition How to Diagonalize Matrix with Singular Value Decomposition Power Iteration Algorithm Step 1: Start with a Random Vector Step…

Table of Contents Solving System of Linear Equations with LU Decomposition System of Linear Equations What Are Systems of Linear Equations? The Role of Matrix Factorization Understanding LU Decomposition The Role of Gaussian Elimination Solving Linear Equations Using LU Decomposition…

Table of Contents FastAPI Meets OpenAI CLIP: Build and Deploy with Docker Building on FastAPI Foundations What’s Next? What Is OpenAI CLIP? How OpenAI CLIP Works: Understanding Text-Image Matching and Contrastive Learning Contrastive Pre-Training: Aligning Text and Image Embeddings Shared…

Table of Contents Getting Started with Python and FastAPI: A Complete Beginner’s Guide Introduction to FastAPI Python What Is FastAPI? Core Features Key Benefits of FastAPI High Performance Reduced Development Time Fewer Bugs Scalability Ease of Use Setting Up FastAPI…

Table of Contents Hessian Matrix, Taylor Series, and the Newton-Raphson Method Higher-Order Derivatives: The Hessian Matrix Higher-Order Gradients The Hessian Matrix Taylor Series Linearization Taylor Series Expansion Newton-Raphson Method Summary Citation Information Hessian Matrix, Taylor Series, and the Newton-Raphson Method…

Table of Contents Partial Derivatives and Jacobian Matrix in Stochastic Gradient Descent Basics of Vector Calculus Vectors Differentiation of Univariate Functions What Are Derivatives? Derivatives of Common Functions Central Difference Formula Partial Derivatives and Gradients Multivariate Functions Partial Derivatives Gradients,…

Table of Contents Chat with Graphic PDFs: Building an AI PDF Summarizer Configuring Your Development Environment Setup and Imports Upload the PDF Load the ColPali Model Index the Document Query the Document Retrieved Result Load the LLaVA Model Preprocess the…

Table of Contents Chat with Graphic PDFs: Understand How AI PDF Summarizers Work The Challenge of Processing Complex PDFs Layout Complexity Table and Figure Recognition Mathematical and Special Characters Enter the World of Multimodal Models The Power of RAG Key…

Table of Contents Building a Multimodal Gradio Chatbot with Llama 3.2 Using the Ollama API What Is Gradio and Why Is It Ideal for Chatbots? The Chatbot You’ll Build Today 🚀 What Is Ollama and the Ollama API Functionality Ollama…