Scientific Computing
Comparison of exponential sampling methods showing histograms from both inverse transform and von Neumann methods overlaid with the theoretical exponential distribution

Exponential Random Number Generation: Two Classic Algorithms Compared

Compare inverse transform sampling and von Neumann's rejection method for exponential random numbers with Python …

Computational Chemistry
Müller-Brown Potential Energy Surface showing the three minima and two saddle points

Implementing the Müller-Brown Potential in PyTorch

Guide to implementing the Müller-Brown potential in PyTorch, comparing analytical vs automatic differentiation with …

Time Series Forecasting

Deconstructing Neural Networks for Time Series Forecasting

Ablation study of neural network components for forecasting, finding gating and attention improve RNNs while recurrence …...

Scientific Computing
Molecular structure alignment showing protein conformations and RMSD calculation

Kabsch Algorithm: NumPy, PyTorch, TensorFlow, and JAX

Learn about the Kabsch algorithm for optimal point alignment with implementations in NumPy, PyTorch, TensorFlow, and JAX …

Machine Learning Fundamentals
Vintage slot machine with multiple arms representing the multi-arm bandit problem in machine learning

A Framework for Multi-Arm Bandit Problems

Framework for understanding multi-arm bandit algorithms through five dimensions. Covers exploration vs exploitation and …

Machine Learning Fundamentals
Various symmetric and repetitive patterns generated by Compositional Pattern Producing Networks

HyperNEAT: Scaling Neuroevolution with Geometric Patterns

How HyperNEAT uses indirect encoding and geometric patterns to evolve large-scale neural networks with biological …

Machine Learning Fundamentals
NEAT genome encoding diagram showing node genes and connection genes with innovation numbers

NEAT: Evolving Neural Network Topologies

Learn about NEAT's approach to evolving neural networks: automatic topology design, historical markings, and speciation …

Machine Learning Fundamentals
Diagram showing the three main types of machine learning: supervised, unsupervised, and reinforcement learning

Breaking Down Machine Learning for the Average Person

Discover how machine learning actually works through three fundamental approaches, explained with everyday examples you …

AI Fundamentals
Abstract representation of logical reasoning and knowledge representation in AI systems

Fundamentals of Logic: Knowledge Representation

Learn about the foundations of AI logic: syntax, semantics, entailment, and inference algorithms for building …