Xray AI LabTutorials and notes on mathematics, Python, data science, machine learning and deep learning. Each article starts from the math and ends with code.https://www.xrayailab.com/enAI Agents Explained: How to Build an LLM Agent with Pythonhttps://www.xrayailab.com/blog/ai-agents-explained-build-llm-agent-python/https://www.xrayailab.com/blog/ai-agents-explained-build-llm-agent-python/AI agents explained: learn how LLM agents use tools, state, and a loop, then build a safe local agent in Python with Ollama, tests, and security guardrails.Sun, 25 Oct 2026 00:00:00 GMTNLP & Generative AIHow to Evaluate LLMs: A Practical Guide to Testing AI Responseshttps://www.xrayailab.com/blog/how-to-evaluate-llms-practical-guide/https://www.xrayailab.com/blog/how-to-evaluate-llms-practical-guide/Learn how to evaluate LLM responses with test sets, code-based graders, human review, and LLM-as-a-judge, plus a runnable Python harness and common pitfalls.Sun, 25 Oct 2026 00:00:00 GMTNLP & Generative AILLM EvaluationLLM-as-a-JudgePythonPrompt EngineeringTestingBackpropagation Explained: How Neural Networks Learnhttps://www.xrayailab.com/blog/backpropagation-explained-how-neural-networks-learn/https://www.xrayailab.com/blog/backpropagation-explained-how-neural-networks-learn/Learn how backpropagation works: the chain rule, a fully worked numeric example, a NumPy implementation with gradient checking, and common pitfalls.Sat, 24 Oct 2026 00:00:00 GMTDeep LearningBackpropagationNeural NetworksGradient DescentChain RulePythonData Cleaning with Python and Pandas: A Complete Practical Guidehttps://www.xrayailab.com/blog/data-cleaning-python-pandas-guide/https://www.xrayailab.com/blog/data-cleaning-python-pandas-guide/Learn a repeatable pandas data cleaning workflow: audit, fix text and types, parse dates, handle invalid values, remove duplicates, flag outliers, and validate.Sat, 24 Oct 2026 00:00:00 GMTData ScienceData CleaningPandasPythonData PreprocessingData QualityData Quality in Data Science: How to Detect and Fix Bad Data with Pythonhttps://www.xrayailab.com/blog/data-quality-python-detect-fix-bad-data/https://www.xrayailab.com/blog/data-quality-python-detect-fix-bad-data/Learn to measure data quality across six dimensions, detect and fix bad data with pandas, enforce rules with pandera, and see how bad data hurts models.Sat, 24 Oct 2026 00:00:00 GMTData ScienceData QualityData ValidationPandasPanderaPythonData CleaningExploratory Data Analysis (EDA) with Python: A Complete Projecthttps://www.xrayailab.com/blog/eda-python-complete-project/https://www.xrayailab.com/blog/eda-python-complete-project/Run a complete exploratory data analysis in Python with pandas and seaborn on the Palmer Penguins data, from data quality checks to a Simpson's paradox.Sat, 24 Oct 2026 00:00:00 GMTData ScienceExploratory Data AnalysisEDAPandasSeabornPythonData VisualizationProbability for Machine Learning: Bayes & Distributionshttps://www.xrayailab.com/blog/probability-for-machine-learning-bayes-theorem-distributions/https://www.xrayailab.com/blog/probability-for-machine-learning-bayes-theorem-distributions/Learn the probability behind machine learning: Bayes' theorem, key distributions, MLE and MAP, with worked examples and Python code you can run and check.Sat, 24 Oct 2026 00:00:00 GMTMathematicsProbabilityBayes' TheoremProbability DistributionsMachine Learning MathMaximum LikelihoodPythonAgentic AI in 2026: What Research Reveals About Autonomous Agentshttps://www.xrayailab.com/blog/agentic-ai-2026-research-autonomous-agents/https://www.xrayailab.com/blog/agentic-ai-2026-research-autonomous-agents/Agentic AI explained through research: agent architectures, planning, tools, memory, what autonomous agents can really do in 2026, and where they still fail.Fri, 23 Oct 2026 00:00:00 GMTResearch Notesagentic aiai agentsllm agentsreacttool useagent memoryai researchCalculus for Machine Learning: Derivatives, Partial Derivatives, and Gradientshttps://www.xrayailab.com/blog/calculus-for-machine-learning-derivatives-partial-derivatives-gradients/https://www.xrayailab.com/blog/calculus-for-machine-learning-derivatives-partial-derivatives-gradients/Learn derivatives visually, then see how partial derivatives and gradients drive neural-network training, with worked examples and verified Python code.Fri, 23 Oct 2026 00:00:00 GMTMathematicsCalculusGradientsGradient DescentBackpropagationMachine Learning MathComputer Vision Explained: Tasks, Models, and Applicationshttps://www.xrayailab.com/blog/computer-vision-explained/https://www.xrayailab.com/blog/computer-vision-explained/What is computer vision? Learn the core tasks, the key models from CNNs to Vision Transformers, real applications, and runnable Python examples.Fri, 23 Oct 2026 00:00:00 GMTComputer Visioncomputer visiondeep learningobject detectionimage segmentationvision transformerspythonGradient Descent Explained with Python: Math, Visualization, and Codehttps://www.xrayailab.com/blog/gradient-descent-explained-python-math-visualization-code/https://www.xrayailab.com/blog/gradient-descent-explained-python-math-visualization-code/Learn how gradient descent minimizes a loss function. Derive the gradients, code it in NumPy, and test learning rates with a plotted experiment.Fri, 23 Oct 2026 00:00:00 GMTMathematicsGradient DescentOptimizationLinear RegressionPythonNumPyMathematics for Machine LearningLinear Algebra for Machine Learning: Vectors, Matrices, and Eigenvalues (with NumPy)https://www.xrayailab.com/blog/linear-algebra-for-machine-learning/https://www.xrayailab.com/blog/linear-algebra-for-machine-learning/Learn linear algebra for machine learning: vectors, dot products, matrix multiplication, and eigenvalues, with runnable NumPy examples and PCA.Fri, 23 Oct 2026 00:00:00 GMTMathematicslinear algebramachine learningnumpyeigenvaluespcapythonReal-Time Object Detection with YOLO and Pythonhttps://www.xrayailab.com/blog/real-time-object-detection-yolo-python/https://www.xrayailab.com/blog/real-time-object-detection-yolo-python/Learn real-time object detection with YOLO in Python: bounding boxes, confidence scores, video inference, and tracking objects across frames.Fri, 23 Oct 2026 00:00:00 GMTComputer Visionobject detectionyoloobject trackingreal-timecomputer visionpythonultralyticsImage Segmentation with Segment Anything: A Python Tutorialhttps://www.xrayailab.com/blog/segment-anything-python-tutorial/https://www.xrayailab.com/blog/segment-anything-python-tutorial/Learn image segmentation with Segment Anything (SAM) in Python: point and box prompts, masks, bounding boxes, automatic mode, and honest limitations.Fri, 23 Oct 2026 00:00:00 GMTComputer Visionsegment anythingSAMimage segmentationcomputer visionfoundation modelspythonVector RAG vs. Graph RAG: What Does the Research Say?https://www.xrayailab.com/blog/vector-rag-vs-graph-rag-research-experiment/https://www.xrayailab.com/blog/vector-rag-vs-graph-rag-research-experiment/Vector RAG vs Graph RAG compared: what the papers found, the trade-offs, and a small reproducible Python experiment on multi-hop retrieval.Fri, 23 Oct 2026 00:00:00 GMTResearch Notesraggraph ragvector searchretrieval augmented generationknowledge graphmulti-hop qapythonVision-Language Models Explained: CLIP, Captioning, VQAhttps://www.xrayailab.com/blog/vision-language-models-explained/https://www.xrayailab.com/blog/vision-language-models-explained/Learn how vision-language models work: image encoders, CLIP embeddings, captioning, and visual question answering, with a runnable Python demo.Fri, 23 Oct 2026 00:00:00 GMTComputer Visionvision-language modelsVLMCLIPimage captioningvisual question answeringmultimodal aipythonMachine Learning for Threat Detection: A Python Guidehttps://www.xrayailab.com/blog/machine-learning-threat-detection/https://www.xrayailab.com/blog/machine-learning-threat-detection/Learn how machine learning detects cyber threats, from supervised models to anomaly detection, with a runnable Python example and honest limits.Thu, 22 Oct 2026 00:00:00 GMTMachine Learningcybersecuritymachine learninganomaly detectionthreat detectionPythonscikit-learnisolation forestRAG Explained: Build a Retrieval-Augmented Generation App with Pythonhttps://www.xrayailab.com/blog/ragexplained/https://www.xrayailab.com/blog/ragexplained/Learn how Retrieval-Augmented Generation (RAG) works, why it outperforms basic LLMs for custom data, and how to build a working RAG app in Python.Thu, 22 Oct 2026 00:00:00 GMTNLP & Generative AIGenerative AIPythonMachine LearningLLMData ScienceAI Agents Explained: How They Work, Tools, and Real-World Examples in 2026https://www.xrayailab.com/blog/ai-agents-explained/https://www.xrayailab.com/blog/ai-agents-explained/Learn how AI agents work, explore real-world applications, compare top frameworks, and build a simple AI agent with Python.Wed, 21 Oct 2026 00:00:00 GMTTools & TutorialsArtificial IntelligenceAI AgentsPythonMachine LearningBuild Your First AI Agent with Python: A Beginner-Friendly Tutorialhttps://www.xrayailab.com/blog/build-first-ai-agent-python/https://www.xrayailab.com/blog/build-first-ai-agent-python/Learn to build an AI agent with Python step by step. Set up your environment, implement tool calling, run the project, and troubleshoot common errors.Wed, 21 Oct 2026 00:00:00 GMTTools & TutorialsArtificial IntelligencePythonAI AgentsTutorialsData Cleaning with Python and Pandas: A Practical Guide - Update https://www.xrayailab.com/blog/data-cleaning-python-pandas-practical-guide/https://www.xrayailab.com/blog/data-cleaning-python-pandas-practical-guide/Learn data cleaning with Python and pandas: fix text, dates, types, duplicates and missing values with a tested pipeline you can check against ground truth.Tue, 20 Oct 2026 00:00:00 GMTNLP & Generative AIData CleaningpandasPythonData PreprocessingMissing ValuesData QualityDeep Learning Roadmap: What to Learn, in What Order, and Whyhttps://www.xrayailab.com/blog/deep-learning-roadmap-DL00/https://www.xrayailab.com/blog/deep-learning-roadmap-DL00/Discover a structured deep learning roadmap covering math prerequisites, environment setup, and dedicated tracks for computer vision, NLP, and generative AI.Sun, 18 Oct 2026 00:00:00 GMTDeep LearningDeep LearningRoadmapPyTorchBeginnersNeural NetworksMathematicsMathematics for Machine Learning: A Complete Study Maphttps://www.xrayailab.com/blog/mathematics-for-machine-learning-study-map/https://www.xrayailab.com/blog/mathematics-for-machine-learning-study-map/A beginner-friendly roadmap to the mathematics behind machine learning: linear algebra, geometry, calculus, probability, and optimization, and how they connect.Sat, 17 Oct 2026 00:00:00 GMTMachine LearningMathematicsMachine LearningLinear AlgebraCalculusProbabilityOptimizationRoadmapPython for Data Science: A Beginner’s Guidehttps://www.xrayailab.com/blog/python-for-data-science-beginners/https://www.xrayailab.com/blog/python-for-data-science-beginners/Learn Python for data science from scratch: core syntax, NumPy, Pandas, Matplotlib, Seaborn, scikit-learn, a student scores project, and a learning roadmap.Sat, 17 Oct 2026 00:00:00 GMTData SciencePythonData ScienceNumPyPandasMatplotlibSeabornScikit-learnBeginnersPython Programming: A Complete Guide to Concepts, Examples, and Exerciseshttps://www.xrayailab.com/blog/python-programming-complete-guide/https://www.xrayailab.com/blog/python-programming-complete-guide/Learn Python with worked examples: functions, lambdas, recursion, classes, number problems, series, and patterns, plus 28 graded exercises with solutions.Sat, 17 Oct 2026 00:00:00 GMTPythonpythonpython tutorialfunctionsobject-oriented programmingrecursionpattern printingdata scienceexercisesCNN Explained with Python: Build an Image Classifierhttps://www.xrayailab.com/blog/cnn-explained-with-python-build-an-image-classifier/https://www.xrayailab.com/blog/cnn-explained-with-python-build-an-image-classifier/Understand convolution and pooling with runnable NumPy examples, then build, train, and evaluate a CNN image classifier in PyTorch (with a Keras version).Fri, 24 Oct 0206 00:00:00 GMTDeep LearningCNNConvolutional Neural NetworksPyTorchImage ClassificationFashion-MNISTPython