16 pages

Machine Learning

Apr 29, 20269 min read

Adaptive Filters and Stochastic Gradient Descent: One Update Rule, Two Vocabularies

Modern AI is often framed as a clean break from classical engineering. For anyone who has worked in adaptive signal processing, that framing is misleading. The mathematical spine …

Apr 23, 20268 min read

Maximum Entropy Inverse Reinforcement Learning: Understanding the Trajectory Formula

Inverse reinforcement learning (IRL) asks a different question from classical RL: instead of assuming a reward function and learning a policy, you observe expert behavior and infer …

Apr 22, 20268 min read

Markov Decision Processes: The Mathematical Foundation of Reinforcement Learning

The Markov Decision Process (MDP) is the standard formal object for sequential decision-making under uncertainty. It separates problem definition — states, actions, how the world …

Apr 14, 20265 min read

I Spent Years on Adaptive Filters. I Was Already Training Neural Networks.

I spent years implementing LMS-based equalizers and echo cancellers in telecommunications. Only later did I fully appreciate what I had been doing mathematically: the same family …

Apr 13, 202612 min read

Feasibility Assessment: Q-Learning Suitability for Organizational Decision Systems

Q-learning for production decision systems: when tabular or deep Q-networks (DQN) make sense, state–action limits, stationarity, exploration cost, convergence risks—and when to say …

Apr 03, 20269 min read

Multi-Agent Systems Scale Vertically. They Need to Scale Horizontally.

This post continues the ideas explored in Part I: Super Agents and Multi-Agent Communication and Part II: Swarm Intelligence. Those posts covered how agents coordinate within a …

Mar 29, 20269 min read

POS Architecture Beyond Certification: Financial Infrastructure, Fraud Detection, and the Expanding Attack Surface

The POS terminal has quietly become critical financial infrastructure — and most architects are still designing it like a payment endpoint.

Mar 26, 20269 min read

Reasoning Models and Deep Reasoning in LLMs: Chain-of-Thought, Tree of Thoughts, and Test-Time Compute

Language models don't reason. Not in the way humans do.

Mar 20, 20263 min read

Data Quality and Accessibility — The Foundation You Can't Skip

Data Quality and Accessibility — The Foundation You Can’t Skip Part 3 of 4 in the Generative AI Foundations series We’ve covered the hierarchy and the landscape. Now …

Mar 20, 20264 min read

ML Lifecycle Stages — The Cycle That Never Stops

ML Lifecycle Stages — The Cycle That Never Stops Part 4 of 4 in the Generative AI Foundations series We’ve covered the hierarchy, the landscape, and the data. Now let’s …