Insights on software development, engineering practices, architecture patterns, and the craft of building robust, scalable systems.
Master Black's model for pricing interest rate options. Learn to value caps, floors, and swaptions with Python implementations and risk measures.
Learn how prefix tuning adapts transformers by prepending learnable virtual tokens to attention keys and values. A parameter-efficient fine-tuning method.
Master the Heath-Jarrow-Morton framework and LIBOR Market Model for pricing caps, floors, and swaptions. Implement forward rate dynamics in Python.
Learn finite difference methods for option pricing. Master explicit, implicit, and Crank-Nicolson schemes to solve the Black-Scholes PDE numerically.
Learn to implement LoRA adapters in PyTorch from scratch. Build modules, inject into transformers, merge weights, and use HuggingFace PEFT for production.
Master Monte Carlo simulation for derivative pricing. Learn risk-neutral valuation, path-dependent options like Asian and barrier options, and convergence.
Learn binomial tree option pricing with the Cox-Ross-Rubinstein model. Price American and European options using backward induction and risk-neutral valuation.
Learn to compute implied volatility using Newton-Raphson and bisection methods. Explore volatility smile, skew patterns, and the VIX index with Python code.
Learn the Black-Scholes formula for European options with Python implementation. Covers derivation, the Greeks, put-call parity, and dividend adjustments.
Learn how expert networks power Mixture of Experts models. Explore FFN-based experts, capacity factors, expert counts, and transformer placement strategies.
Discover how sparse models decouple capacity from compute using conditional computation and mixture of experts to achieve efficient scaling.
Master financial data handling with pandas, NumPy, and Numba. Learn time series operations, return calculations, and visualization for quant finance.
Master root-finding, interpolation, and numerical integration for finance. Learn to compute implied volatility, build yield curves, and price derivatives.
A comprehensive guide covering structured outputs introduced in language models during 2024. Learn how structured outputs enable reliable data extraction, eliminate brittle text parsing, and make language models production-ready. Understand schema specification, format constraints, validation guarantees, practical applications, limitations, and the transformative impact on AI application development.
A comprehensive guide covering advanced parameter-efficient fine-tuning methods introduced in 2024, including AdaLoRA, DoRA, VeRA, and other innovations. Learn how these techniques addressed LoRA's limitations through adaptive rank allocation, magnitude-direction decomposition, parameter sharing, and their impact on research and industry deployments.
A comprehensive guide covering continuous post-training, including parameter-efficient fine-tuning with LoRA, catastrophic forgetting prevention, incremental model updates, continuous learning techniques, and efficient adaptation strategies for keeping language models current and responsive.
Master DBSCAN (Density-Based Spatial Clustering of Applications with Noise), the algorithm that discovers clusters of any shape without requiring predefined cluster counts. Learn core concepts, parameter tuning, and practical implementation.
A comprehensive guide covering GPT-4o, including unified multimodal architecture, real-time processing, unified tokenization, advanced attention mechanisms, memory mechanisms, and its transformative impact on human-computer interaction.
A comprehensive guide to DeepSeek R1, the groundbreaking reasoning model that achieved competitive performance on complex logical and mathematical tasks through architectural innovation rather than massive scale. Learn about specialized reasoning modules, improved attention mechanisms, curriculum learning, and how R1 demonstrated that sophisticated reasoning could be achieved with more modest computational resources.
A comprehensive guide covering agentic AI systems introduced in 2024. Learn how AI systems evolved from reactive tools to autonomous agents capable of planning, executing multi-step workflows, using external tools, and adapting behavior. Understand the architecture, applications, limitations, and legacy of this paradigm-shifting development in artificial intelligence.
A comprehensive guide to AI Co-Scientist systems, the paradigm-shifting approach that enables AI to conduct independent scientific research. Learn about autonomous hypothesis generation, experimental design, knowledge synthesis, and how these systems transformed scientific discovery in 2025.
Learn minimum cost flow optimization for slotting problems, including network flow theory, mathematical formulation, and practical implementation with OR-Tools. Master resource allocation across time slots, capacity constraints, and cost structures.
A comprehensive guide covering V-JEPA 2, including vision-based world modeling, joint embedding predictive architecture, visual prediction, embodied AI, and the shift from language-centric to vision-centric AI systems. Learn how V-JEPA 2 enabled AI systems to understand physical environments through visual learning.
Complete guide to word embeddings covering Word2Vec skip-gram, GloVe matrix factorization, negative sampling, and co-occurrence statistics. Learn how to implement embeddings from scratch and understand how semantic relationships emerge from vector space geometry.
Complete guide to Mixed Integer Linear Programming (MILP) for factory optimization, covering mathematical foundations, constraint modeling, branch-and-bound algorithms, and practical implementation with Google OR-Tools. Learn how to optimize production planning with discrete setup decisions and continuous quantities.
A comprehensive guide covering specialized large language models for low-resource languages, including synthetic data generation, cross-lingual transfer learning, and training techniques. Learn how these innovations achieved near-English performance for underrepresented languages and transformed digital inclusion.
Learn how to scale AI agents from single users to thousands while maintaining performance and controlling costs. Covers horizontal scaling, load balancing, monitoring, cost controls, and prompt optimization strategies.
Learn CP-SAT rostering using Google OR-Tools to solve complex workforce scheduling problems with binary decision variables, coverage constraints, and employee availability. Master constraint programming for optimal employee shift assignments.
A comprehensive guide covering Constitutional AI, including principle-based alignment, self-critique training, reinforcement learning from AI feedback (RLAIF), scalability advantages, interpretability benefits, and its impact on AI alignment methodology.
Learn how to dramatically reduce AI agent API costs without sacrificing capability. Covers model selection, caching, batching, prompt optimization, and budget controls with practical Python examples.
Learn practical techniques to make AI agents respond faster, including model selection strategies, response caching, streaming, parallel execution, and prompt optimization for reduced latency.
Learn how to maintain and update AI agents safely, manage costs, respond to user feedback, and keep your system healthy over months and years of operation.
Complete guide to N-BEATS, an interpretable deep learning architecture for time series forecasting. Learn how N-BEATS decomposes time series into trend and seasonal components, understand the mathematical foundation, and implement it in PyTorch.
Learn how to monitor your deployed AI agent's health, handle errors gracefully, and build reliability through health checks, metrics tracking, error handling, and scaling strategies.
A comprehensive guide covering GPT-4, including multimodal capabilities, improved reasoning abilities, enhanced safety and alignment, human-level performance on standardized tests, and its transformative impact on large language models.
Learn how to deploy your AI agent from a local script to a production service. Covers packaging, cloud deployment, APIs, and making your agent accessible to users.
Complete guide to HDBSCAN clustering algorithm covering density-based clustering, automatic cluster selection, noise detection, and handling variable density clusters. Learn how to implement HDBSCAN for real-world clustering problems.
A comprehensive guide covering BIG-bench (Beyond the Imitation Game Benchmark) and MMLU (Massive Multitask Language Understanding), the landmark evaluation benchmarks that expanded assessment beyond traditional NLP tasks. Learn how these benchmarks tested reasoning, knowledge, and specialized capabilities across diverse domains.
Comprehensive guide to hierarchical clustering, including dendrograms, linkage criteria (single, complete, average, Ward), and scikit-learn implementation. Learn how to build cluster hierarchies and interpret dendrograms.
A comprehensive guide covering function calling capabilities in language models from 2023, including structured outputs, tool interaction, API integration, and its transformative impact on building practical AI agent systems that interact with external tools and environments.
Learn how to implement action restrictions and permissions for AI agents using the principle of least privilege, confirmation steps, and sandboxing to keep your agent powerful but safe.
A comprehensive guide covering QLoRA introduced in 2023. Learn how combining 4-bit quantization with Low-Rank Adaptation enabled efficient fine-tuning of large language models on consumer hardware, the techniques that made it possible, applications in research and open-source development, and its lasting impact on democratizing model adaptation.
Learn how to implement content safety and moderation in AI agents, including system-level instructions, output filtering, pattern blocking, graceful refusals, and privacy boundaries to keep agent outputs safe and responsible.
Learn SARIMA (Seasonal AutoRegressive Integrated Moving Average) for forecasting time series with seasonal patterns. Includes mathematical foundations, step-by-step implementation, and practical applications.
A comprehensive guide covering Whisper, OpenAI's 2022 breakthrough in automatic speech recognition. Learn how large-scale multilingual training on diverse audio data enabled robust transcription across 90+ languages, how the transformer-based encoder-decoder architecture simplified speech recognition, and how Whisper established new standards for multilingual ASR systems.
Learn how to use observability for continuous agent improvement. Discover patterns in logs, turn observations into targeted improvements, track quantitative metrics, and build a feedback loop that makes your AI agent smarter over time.
Learn exponential smoothing for time series forecasting, including simple, double (Holt's), and triple (Holt-Winters) methods. Master weighted averages, smoothing parameters, and practical implementation in Python.
A comprehensive guide to DeepMind's Flamingo, the breakthrough few-shot vision-language model that achieved state-of-the-art performance across image-text tasks without task-specific fine-tuning. Learn about gated cross-attention mechanisms, few-shot learning in multimodal settings, and Flamingo's influence on modern AI systems.
Learn how to read agent logs, trace reasoning chains, identify common problems, and systematically debug AI agents. Master the art of understanding what your agent is thinking and why.
Learn how to add logging to AI agents to debug behavior, track decisions, and monitor tool usage. Includes practical Python examples with structured logging patterns and best practices.
Learn Prophet time series forecasting including additive decomposition, trend modeling, seasonal patterns, and holiday effects. Master Facebook's powerful forecasting tool for business applications.
Master probabilistic tokenization with unigram language models. Learn how SentencePiece uses EM algorithms and Viterbi decoding to create linguistically meaningful subword units, outperforming deterministic methods like BPE.
A comprehensive guide to HELM (Holistic Evaluation of Language Models), the groundbreaking evaluation framework that assesses language models across accuracy, robustness, bias, toxicity, and efficiency dimensions. Learn about systematic evaluation protocols, multi-dimensional assessment, and how HELM established new standards for language model evaluation.
Learn how to create feedback loops that continuously improve your AI agent through real-world usage data, pattern analysis, and targeted improvements.
Master Byte Pair Encoding (BPE), the subword tokenization algorithm powering GPT and BERT. Learn how BPE bridges character and word-level approaches through iterative merge operations.
Learn how to build agentic workflows with LangChain and LangGraph.
Discover why traditional word-level approaches fail with diverse text, from OOV words to morphological complexity. Learn the fundamental challenges that make subword tokenization essential for modern NLP.
A comprehensive guide covering multi-vector retrieval systems introduced in 2021. Learn how token-level contextualized embeddings enabled fine-grained matching, the ColBERT late interaction mechanism that combined semantic and lexical matching, how multi-vector retrievers addressed limitations of single-vector dense retrieval, and their lasting impact on modern retrieval architectures.
Learn how to create and use test cases to evaluate AI agent performance. Build comprehensive test suites, track results over time, and use testing frameworks like pytest, LangSmith, LangFuse, and Promptfoo to measure your agent's capabilities systematically.
A comprehensive guide covering chain-of-thought prompting introduced in 2022. Learn how prompting models to generate intermediate reasoning steps dramatically improved complex reasoning tasks, the simple technique that activated latent capabilities, how it transformed evaluation and deployment, and its lasting influence on modern reasoning approaches.
Learn how to define clear, measurable success criteria for AI agents including correctness, reliability, efficiency, safety, and user experience metrics to guide evaluation and improvement.
Explore the trade-offs of multi-agent AI systems, from specialization and parallel processing to coordination challenges and complexity management. Learn when to use multiple agents versus a single agent.
Understand the mathematical foundations of LLM fine-tuning with clear explanations and minimal prerequisites. Learn how gradient descent, weight updates, and Transformer architectures work together to adapt pre-trained models to new tasks.
Learn how AI agents exchange information and coordinate actions through structured messages, communication patterns like pub-sub and request-response, and protocols for task delegation and consensus building.
A comprehensive guide covering OpenAI's InstructGPT research from 2022, including the three-stage RLHF training process, supervised fine-tuning, reward modeling, reinforcement learning optimization, and its foundational impact on aligning large language models with human preferences.
Learn how multiple AI agents collaborate through specialization, parallel processing, and coordination. Explore cooperation patterns including sequential handoff, iterative refinement, and consensus building, plus real frameworks like Google's A2A Protocol.
A comprehensive guide to EleutherAI's The Pile, the groundbreaking 825GB open-source dataset that democratized access to high-quality training data for large language models. Learn about dataset composition, curation, and its impact on open-source AI development.
See how AI agents use planning to handle complex, multi-step tasks. Learn task decomposition, sequential execution, and error handling through a complete example of booking meetings and sending summaries.
A comprehensive guide to choosing the right approach for your LLM project: using pre-trained models as-is, enhancing them with context injection and RAG, or specializing them through fine-tuning. Learn the trade-offs, costs, and when each method works best.
Learn the foundational concepts of LLM workflows - connecting language models to tools, handling responses, and building intelligent systems that take real-world actions.
Learn how AI agents execute multi-step plans sequentially, handle failures gracefully, and adapt when things go wrong. Includes practical Python examples with Claude Sonnet 4.5.
Learn how to use Monte Carlo simulation to model and analyze stock market returns, estimate future performance, and understand the impact of randomness in financial forecasting. This tutorial covers the fundamentals, practical implementation, and interpretation of simulation results.
Learn how AI agents break down complex goals into manageable subtasks. Understand task decomposition strategies, sequential vs parallel tasks, and practical implementation with Claude Sonnet 4.5.
A comprehensive guide to XGBoost (eXtreme Gradient Boosting), including second-order Taylor expansion, regularization techniques, split gain optimization, ranking loss functions, and practical implementation with classification, regression, and learning-to-rank examples.
A comprehensive guide covering the 2020 scaling laws discovered by Kaplan et al. Learn how power-law relationships predict model performance from scale, enabling informed resource allocation, how scaling laws transformed model development planning, and their profound impact on GPT-3 and subsequent large language models.
Learn how to define what your AI agent can and cannot do through access controls, action policies, rate limits, and scope boundaries. Master the art of balancing agent capability with security and trust.
A comprehensive guide to SHAP values covering mathematical foundations, feature attribution, and practical implementations for explaining any machine learning model
Learn how AI agents perceive their environment through inputs, tool outputs, and memory, and how they take actions that change the world around them through the perception-action cycle.
Learn what an environment means for AI agents, from digital assistants to physical robots. Understand how environment shapes perception, actions, and agent design.
A comprehensive guide covering LightGBM gradient boosting framework, including leaf-wise tree growth, histogram-based binning, GOSS sampling, exclusive feature bundling, mathematical foundations, and Python implementation. Learn how to use LightGBM for large-scale machine learning with speed and memory efficiency.
A comprehensive guide covering FlashAttention introduced in 2022. Learn how IO-aware attention computation enabled 2-4x speedup and 5-10x memory reduction, the tiling and online softmax techniques that reduced quadratic to linear memory complexity, hardware-aware GPU optimizations, and its lasting impact on efficient transformer architectures and long-context language models.
Learn how AI agents maintain continuity across sessions with ephemeral, session, and persistent state management. Includes practical implementation patterns for state lifecycle, conflict resolution, and debugging.
A comprehensive guide to CatBoost (Categorical Boosting), including categorical feature handling, target statistics, symmetric trees, ordered boosting, regularization techniques, and practical implementation with mixed data types.
A comprehensive guide to OpenAI's CLIP, the groundbreaking vision-language model that enables zero-shot image classification through contrastive learning. Learn about shared embedding spaces, zero-shot capabilities, and the foundations of modern multimodal AI.
Learn how to structure AI agents with clear architecture patterns. Build organized agent loops, decision logic, and state management for scalable, maintainable agent systems.
A comprehensive guide covering instruction tuning introduced in 2021. Learn how fine-tuning on diverse instruction-response pairs transformed language models, the FLAN approach that enabled zero-shot generalization, how instruction tuning made models practical for real-world use, and its lasting impact on modern language AI systems.
A comprehensive guide to Isolation Forest covering unsupervised anomaly detection, path length calculations, harmonic numbers, anomaly scoring, and implementation in scikit-learn. Learn how to detect rare outliers in high-dimensional data with practical examples.
Learn how to build a complete AI agent memory system combining conversation history and persistent knowledge storage. Includes semantic search, tool integration, and practical implementation patterns.
Learn how Position Interpolation extends transformer context windows by scaling position indices to stay within training distributions, enabling longer sequences with minimal fine-tuning.
A comprehensive guide to boosted trees and gradient boosting, covering ensemble learning, loss functions, sequential error correction, and scikit-learn implementation. Learn how to build high-performance predictive models using gradient boosting.
A comprehensive guide to OpenAI's DALL·E 2, the revolutionary text-to-image generation model that combined CLIP-guided diffusion with high-quality image synthesis. Learn about in-painting, variations, photorealistic generation, and the shift from autoregressive to diffusion-based approaches.
Learn how AI agents store and retrieve information across sessions using vector databases, embeddings, and semantic search. Build a personal assistant that remembers facts, preferences, and knowledge long-term.
A comprehensive guide covering OpenAI's Codex introduced in 2021. Learn how specialized fine-tuning of GPT-3 on code enabled powerful code generation capabilities, the integration into GitHub Copilot, applications in software development, limitations and challenges, and its lasting impact on AI-assisted programming.
A comprehensive guide to Random Forest covering ensemble learning, bootstrap sampling, random feature selection, bias-variance tradeoff, and implementation in scikit-learn. Learn how to build robust predictive models for classification and regression with practical examples.
A comprehensive guide to OpenAI's DALL·E, the groundbreaking text-to-image generation model that extended transformer architectures to multimodal tasks. Learn about discrete VAEs, compositional understanding, and the foundations of modern AI image generation.
Build a working calculator tool for your AI agent from scratch. Learn the complete workflow from Python function to tool integration, with error handling and testing examples.
A comprehensive guide to CART (Classification and Regression Trees), including mathematical foundations, Gini impurity, variance reduction, and practical implementation with scikit-learn. Learn how to build interpretable decision trees for both classification and regression tasks.
A comprehensive guide covering OpenAI's GPT-3 introduced in 2020. Learn how scaling to 175 billion parameters unlocked in-context learning and few-shot capabilities, the mechanism behind pattern recognition in prompts, how it eliminated the need for fine-tuning on many tasks, and its profound impact on prompt engineering and modern language model deployment.
Learn how to call language models from Python code, including GPT-5, Claude Sonnet 4.5, and Gemini 2.5. Master API integration, error handling, and building reusable functions for AI agents.
A comprehensive guide covering Google's T5 (Text-to-Text Transfer Transformer) introduced in 2019. Learn how the text-to-text framework unified diverse NLP tasks, the encoder-decoder architecture with span corruption pre-training, task prefixes for multi-task learning, and its lasting impact on modern language models and instruction tuning.
Learn how to design effective tool interfaces for AI agents, from basic function definitions to multi-tool orchestration. Covers tool descriptions, parameter extraction, workflow implementation, and best practices for agent-friendly APIs.
A comprehensive guide to logistic regression covering mathematical foundations, the logistic function, optimization algorithms, and practical implementation. Learn how to build binary classification models with interpretable results.
Learn how Longformer combines sliding window and global attention to process documents of 4,096+ tokens with O(n) complexity instead of O(n²).
Implement sparse attention patterns including local windows, strided attention, and block-sparse methods that reduce transformer complexity from quadratic to near-linear.
A comprehensive guide to Poisson regression for count data analysis. Learn mathematical foundations, maximum likelihood estimation, rate ratio interpretation, and practical implementation with scikit-learn. Includes real-world examples and diagnostic techniques.
A comprehensive guide to Transformer-XL, the architectural innovation that enabled transformers to handle longer sequences through segment-level recurrence and relative positional encodings. Learn how this model extended context length while maintaining efficiency and influenced modern language models.
A comprehensive guide to spline regression covering B-splines, knot selection, natural cubic splines, and practical implementation. Learn how to model complex non-linear relationships with piecewise polynomials.
A comprehensive guide to multinomial logistic regression covering mathematical foundations, softmax function, coefficient estimation, and practical implementation in Python with scikit-learn.
A comprehensive guide covering OpenAI's GPT-1 and GPT-2 models. Learn how autoregressive pretraining with transformers enabled transfer learning across NLP tasks, the emergence of zero-shot capabilities at scale, and their foundational impact on modern language AI.
A comprehensive guide covering BERT (Bidirectional Encoder Representations from Transformers), including masked language modeling, bidirectional context understanding, the pretrain-then-fine-tune paradigm, and its transformative impact on natural language processing.
Master advanced prompting strategies for AI agents including role assignment, few-shot prompting with examples, and iterative refinement. Learn practical techniques to improve AI responses through context, demonstration, and systematic testing.
A comprehensive guide covering Elastic Net regularization, including mathematical foundations, geometric interpretation, and practical implementation. Learn how to combine L1 and L2 regularization for optimal feature selection and model stability.
Explore how XLNet, RoBERTa, and ALBERT refined BERT through permutation language modeling, optimized training procedures, and architectural efficiency. Learn about bidirectional autoregressive pretraining, dynamic masking, and parameter sharing innovations that advanced transformer language models.
Learn how layer normalization enables stable transformer training by normalizing across features rather than batches, with implementations and gradient analysis.
A comprehensive guide covering polynomial regression, including mathematical foundations, implementation in Python, bias-variance trade-offs, and practical applications. Learn how to model non-linear relationships using polynomial features.
A comprehensive guide to preference-based learning, the framework developed by Christiano et al. in 2017 that enabled reinforcement learning agents to learn from human preferences. Learn how this foundational work established RLHF principles that became essential for aligning modern language models.
Discover what you'll build throughout this book: a capable AI agent that remembers conversations, uses tools, plans tasks, and grows smarter with each chapter. Learn about the journey from simple chatbot to intelligent personal assistant.
A comprehensive guide covering Ridge regression and L2 regularization, including mathematical foundations, geometric interpretation, bias-variance tradeoff, and practical implementation. Learn how to prevent overfitting in linear regression using coefficient shrinkage.
A comprehensive guide covering FastText and subword tokenization, including character n-gram embeddings, handling out-of-vocabulary words, morphological processing, and impact on modern transformer tokenization methods.
A comprehensive guide to residual connections, the architectural innovation that solved the vanishing gradient problem in deep networks. Learn how skip connections enabled training of networks with 100+ layers and became fundamental to modern language models and transformers.
A comprehensive guide covering Google's transition to neural machine translation in 2016. Learn how GNMT replaced statistical phrase-based methods with end-to-end neural networks, the encoder-decoder architecture with attention mechanisms, and its lasting impact on NLP and modern language AI.
A comprehensive guide to understanding AI agents, their building blocks, and how they differ from agentic workflows and agent swarms.
A comprehensive guide to GloVe (Global Vectors) and the Adam optimizer, two groundbreaking 2014 developments that transformed neural language processing. Learn how GloVe combined local and global statistics for word embeddings, and how Adam revolutionized deep learning optimization.
A deep dive into how MCP makes tool use with LLMs easier, cleaner, and more standardized.
Learn how teacher forcing accelerates sequence-to-sequence training by providing correct context, understand exposure bias, and explore mitigation strategies like scheduled sampling.
A comprehensive guide to neural information retrieval, the breakthrough approach that learned semantic representations for queries and documents. Learn how deep learning transformed search systems by enabling meaning-based matching beyond keyword overlap.
An exploration of why setting temperature to zero doesn't eliminate all randomness in large language model outputs.
A comprehensive guide to layer normalization, the normalization technique that computes statistics across features for each example. Learn how this 2016 innovation solved batch normalization's limitations in RNNs and became essential for transformer architectures.
A comprehensive guide to word2vec, the breakthrough method for learning dense vector representations of words. Learn how Mikolov's word embeddings captured semantic and syntactic relationships, revolutionizing NLP with distributional semantics.
A comprehensive guide covering SQuAD (Stanford Question Answering Dataset), the benchmark that established reading comprehension as a flagship NLP task. Learn how SQuAD transformed question answering evaluation, its span-based answer format, evaluation metrics, and lasting impact on language understanding research.
Master backpropagation from computational graphs to gradient flow. Learn the chain rule, implement forward/backward passes, and understand automatic differentiation.
A comprehensive guide covering Latent Dirichlet Allocation (LDA), the breakthrough Bayesian probabilistic model that revolutionized topic modeling by providing a statistically consistent framework for discovering latent themes in document collections. Learn how LDA solved fundamental limitations of earlier approaches, enabled principled inference for new documents, and established the foundation for modern probabilistic topic modeling.
Learn chunking (shallow parsing) to identify noun phrases, verb phrases, and prepositional phrases using IOB tagging, regex patterns, and machine learning with NLTK and spaCy.
A comprehensive guide to standardization in machine learning, covering mathematical foundations, practical implementation, and Python examples. Learn how to properly standardize features for fair comparison across different scales and units.
A comprehensive guide to L1 regularization (LASSO) in machine learning, covering mathematical foundations, optimization theory, practical implementation, and real-world applications. Learn how LASSO performs automatic feature selection through sparsity.
A comprehensive guide covering Latent Semantic Analysis (LSA), the breakthrough technique that revolutionized information retrieval by uncovering hidden semantic relationships through singular value decomposition. Learn how LSA solved vocabulary mismatch problems, enabled semantic similarity measurement, and established the foundation for modern topic modeling and word embedding approaches.
A comprehensive guide to multiple linear regression, including mathematical foundations, intuitive explanations, worked examples, and Python implementation. Learn how to fit, interpret, and evaluate multiple linear regression models with real-world applications.
Learn about multicollinearity in regression analysis with this practical guide. VIF analysis, correlation matrices, coefficient stability testing, and approaches such as Ridge regression, Lasso, and PCR. Includes Python code examples, visualizations, and useful techniques for working with correlated predictors in machine learning models.
A comprehensive guide to Ordinary Least Squares (OLS) regression, including mathematical derivations, matrix formulations, step-by-step examples, and Python implementation. Learn the theory behind OLS, understand the normal equations, and implement OLS from scratch using NumPy and scikit-learn.
A comprehensive guide covering BM25, the revolutionary probabilistic ranking algorithm that transformed information retrieval. Learn how BM25 solved TF-IDF's limitations through sophisticated term frequency saturation, document length normalization, and probabilistic relevance modeling that became foundational to modern search systems and retrieval-augmented generation.
A complete hands-on guide to simple linear regression, including formulas, intuitive explanations, worked examples, and Python code. Learn how to fit, interpret, and evaluate a simple linear regression model from scratch.
Master word analogy evaluation using 3CosAdd and 3CosMul methods. Learn the parallelogram model, evaluation datasets, and what analogies reveal about embedding quality.
A comprehensive guide to Generalized Linear Models (GLMs), covering logistic regression, Poisson regression, and maximum likelihood estimation. Learn how to model binary outcomes, count data, and non-normal distributions with practical Python examples.
Master regular expressions for text processing, covering metacharacters, quantifiers, lookarounds, and practical NLP patterns. Learn to extract emails, URLs, and dates while avoiding performance pitfalls.
A comprehensive guide covering OpenAI's ChatGPT release in 2022, including the conversational interface, RLHF training approach, safety measures, and its transformative impact on making large language models accessible to general users.
Discover how Activation-aware Weight Quantization protects salient weights to compress LLMs. Learn the algorithm, scaling factors, and AutoAWQ implementation.
Discover how GPTQ optimizes weight quantization using Hessian-based error compensation to compress LLMs to 4 bits while maintaining near-FP16 accuracy.
Master KV cache compression techniques including eviction strategies, attention sinks, the H2O algorithm, and INT8 quantization for efficient LLM inference.
Implement Direct Preference Optimization in PyTorch. Covers preference data formatting, loss computation, training loops, and hyperparameter tuning for LLM alignment.
Master HFT strategies: cross-market arbitrage, latency exploitation, and electronic market making. Learn the tech infrastructure behind microsecond trading.
Learn how KL divergence prevents reward hacking in RLHF by keeping policies close to reference models. Covers theory, adaptive control, and PyTorch code.
Explore cryptocurrency market microstructure, adjust quantitative strategies for extreme volatility, and manage unique risks in 24/7 decentralized trading.
Learn how PagedAttention uses virtual memory paging to eliminate KV cache fragmentation, enabling 5x better memory utilization in LLM serving systems.
Learn to calculate KV cache memory requirements for transformer models. Covers batch size, context length, GQA optimization, and GPU deployment planning.
Learn time-series and cross-sectional momentum strategies. Implement moving average crossovers, breakout systems, and CTA approaches with Python code.
Explore Mixtral 8x7B's sparse architecture and top-2 expert routing. Learn how MoE models match Llama 2 70B quality with a fraction of the inference compute.
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