Data Science & ML Agent Skills

Hopf Bifurcation Dynamics

Analyzes and implements Hopf bifurcations to create limit cycles from equilibrium points in complex dynamical systems.

Harmonic Centrality Transport

Implements topological transport and harmonic centrality gadgets with GF(3) conservation for advanced mathematical and linguistic data modeling.

HyJAX Relational Thread Analyzer

Analyzes conversation threads and concept networks using relational ACSet patterns and HyJAX structures.

Gay.jl Color & Trit Integration

Integrates deterministic color generation with bisimulation game semantics and GF(3) conservation verification.

Ollama Local LLM Inference

Integrates local LLM inference via Ollama to reduce API costs and enhance data privacy during development and CI/CD pipelines.

LangGraph Supervisor Pattern

Coordinates multiple specialized AI agents using a central supervisor pattern within LangGraph workflows.

R Object-Oriented Programming

Guides R developers in choosing and implementing the optimal OOP system, including S7, S3, S4, and vctrs.

OMERO Microscopy Data Management

Integrates Claude with the OMERO platform to manage, analyze, and automate bioimaging data workflows using the Python API.

Presheaf Topos Modeling

Implements and explores presheaf toposes as contravariant set-valued functors for categorical logic and structural data modeling.

BioServices Bioinformatics Toolkit

Provides programmatic access to over 40 bioinformatics web services for biological data retrieval, identifier mapping, and pathway analysis.

DisCoPy Categorical Computing

Implements compositional string diagrams and operadic structures for categorical computing and active inference.

Golden Dataset Validation

Validates the integrity and quality of AI evaluation datasets through schema enforcement, duplicate detection, and coverage analysis.

Conversation Delta Derivation

Extracts and verifies information deltas between Claude.ai conversation exports using ACSets morphisms and bisimulation verification.

Coupled Dynamical Systems

Models and analyzes interacting dynamical systems using algebraic structures and GF(3) conservation principles.

Consensus Dynamics

Implements and analyzes agreement protocols for multi-agent systems using dynamical systems theory and triadic composition.

Model Equivariance Auditor

Verifies that machine learning models correctly respect intended symmetries through systematic numerical tests and debugging guidance.

Code Data Analysis Scaffolds

Provides structured frameworks and systematic workflows for Test-Driven Development (TDD), data exploration, and statistical modeling.

Reference Class Forecasting

Establishes objective statistical baselines for predictions and projects by anchoring them in historical reality and the 'Outside View.'

Stable Baselines3 RL

Implements reinforcement learning workflows using Stable Baselines3 for training agents, creating environments, and optimizing deep RL models.

Scout Mindset Bias Check

Detects and mitigates cognitive biases to improve decision-making, forecasting accuracy, and intellectual honesty.

CatColab Petri Nets

Models and analyzes concurrent systems through Petri net logic, token flow dynamics, and categorical foundations.

Bifurcation Generator

Generates visual bifurcation diagrams to analyze parameter-dependent transitions in dynamical systems.

Context Engineering Principles

Optimizes LLM performance by implementing token-efficient context management strategies for AI agents and tools.

Chaotic Attractor Dynamics

Analyzes complex dynamical systems and strange attractors with sensitive dependence on initial conditions.

Birkhoff Average

Calculates time averages of observables along trajectories to analyze qualitative behavior and stability in dynamical systems.

Worldmat TiDAR Engine

Implements a 3×3×3 matrix execution framework using the TiDAR pattern with GF(3) conservation invariants.

ALife Simulation & Artificial Life Research

Facilitates the research, modeling, and implementation of complex artificial life systems, from cellular automata to evolutionary dynamics.

Scholar Evaluation

Systematically evaluates research papers and scholarly work using the peer-reviewed ScholarEval framework for soundness and contribution.

Metabolomics Workbench Database

Accesses the NIH Metabolomics Workbench to query metabolite structures, study metadata, and standardized chemical nomenclature for biomarker discovery.

Scientific Brainstorming

Facilitates collaborative research ideation through hypothesis generation, interdisciplinary exploration, and systematic challenge of scientific assumptions.