Data Science & ML Agent Skills

Social Emergence Protocol

Bootstraps complex social behaviors and communication patterns in distributed agent systems using minimal interaction rules.

ALife Simulation & Modeling

Provides comprehensive resources, mathematical models, and implementation patterns for simulating artificial life, evolutionary dynamics, and emergent systems.

World Extractable Value (WEV)

Quantifies and extracts economic value from coordination inefficiencies and world transitions using Markov blanket arbitrage and Multiverse Finance.

WorldMat-TiDAR: Parallel Triadic Computation

Orchestrates complex 3×3×3 parallel TiDAR executions for balanced, reproducible triadic computation across temporal and polarity axes.

Topos of Music

Implements Guerino Mazzola's categorical music theory framework for advanced mathematical analysis and transformation of musical structures.

Forward-Forward Learning

Implements Geoffrey Hinton's Forward-Forward algorithm for memory-efficient neural network training without backpropagation.

Abductive Reasoning REPL

Powers iterative hypothesis testing and exploratory abductive inference through an interactive REPL environment.

SAP Cloud SDK for AI

Integrates enterprise-grade AI capabilities into SAP BTP applications using the SAP Cloud SDK for AI for JavaScript/TypeScript and Java.

Data Science & Sparsification

Implements L0 regularization and intelligent sampling techniques to optimize neural network sparsification and survey data calibration.

Triadic Color Validation

Validates triadic color systems using predictive loops and active inference to ensure compositional coherence.

Research Question Optimizer

Formulates and refines high-quality research questions using the scientifically recognized FINER criteria.

Pre-Agent Ontology

Establishes a foundational 5-layer topological framework for agent-based systems using sheaf theory and GF(3) arithmetic.

Equilibrium System Analyzer

Identifies and analyzes fixed points in dynamical systems where vector fields vanish to determine system stability.

GFlowNet ML Framework

Implements Generative Flow Networks to sample diverse candidates proportionally to their reward functions.

Möbius Path Filtering

Prevents invalid data navigation and circular references by applying non-orientable topological constraints to complex path structures.

Kuramoto Model Dynamics

Analyzes and implements coupled oscillators with sinusoidal coupling to model synchronization in complex dynamical systems.

Unstable Manifold Analysis

Analyzes points diverging from equilibrium to identify qualitative behaviors, bifurcations, and long-term dynamics in complex systems.

Phase Locking for Dynamical Systems

Analyzes and implements fixed phase relationships in oscillators and complex dynamical systems.

AgentDB Vector Search

Implements high-performance semantic vector search and intelligent document retrieval for RAG systems using AgentDB.

Cider Clojure Embedding

Enables semantic code navigation and intelligent completions for Clojure using vector space embeddings.

DuckDB Spatial Analysis

Performs high-performance geospatial analysis, H3 hexagonal indexing, and PostGIS-compatible spatial SQL queries using DuckDB.

Categories for AI (cats-for-ai)

Integrates category theory principles into AI development to enable formal compositionality, bidirectional optics, and advanced machine learning architectures.

LHoTT Cohesive Linear

Implements Cohesive Linear Homotopy Type Theory patterns to formalize interaction entropy and generate complex structural diagrams.

HoloViz Advanced Rendering

Optimizes high-performance visualization for massive datasets exceeding 100 million points using Datashader and HoloViews.

Oapply Colimit: Compositional Systems Modeling

Composes complex systems from individual components using category-theoretic colimits and bidirectional wiring diagram navigation.

PDF Processing & Manipulation

Facilitates comprehensive PDF manipulation, including text and table extraction, merging, splitting, and document generation using Python and CLI tools.

Incentive Prompting Optimizer

Optimizes AI outputs using research-backed prompting techniques to increase response quality and accuracy by up to 115%.

Open Games Framework

Enables compositional game theory and economic modeling using category theory optics for complex systems.

Directed Yoneda Lemma Reasoning

Implements the directed Yoneda lemma as a principle for directed path induction within synthetic infinity-categories.

Eigenvalue Stability Analysis

Classifies the stability of dynamical systems by calculating and interpreting Jacobian eigenvalues for equilibrium analysis.