Data Science & ML Agent Skills

Ward Identity Checker

Verifies GF(3) symmetry conservation and Markov blanket integrity across renormalization group flows for cybernetic system stability.

LLM Application Development

Streamlines the creation of AI-powered applications through advanced prompt engineering, RAG orchestration, and multi-model API integration.

Three-Match 3-SAT Solver

Reduces 3-SAT problems to colored subgraph isomorphism using non-backtracking geodesics and Möbius filtering.

WEV Tesseract

Verifies thread ancestry and reconstructs balanced world states to facilitate epistemic arbitrage and skill orchestration.

Transcritical Bifurcation Analysis

Analyzes and models dynamical systems where equilibria exchange stability through transcritical bifurcations.

ZX-Calculus Quantum Reasoning

Optimizes and reasons about quantum circuits using graphical string diagrams and spider-based rewrite rules.

Lisp-style ACSet Navigator

Provides a bidirectional bridge between S-expressions and Algebraic Julia data structures with high-performance navigation and transformation.

Mathpix OCR & LaTeX Pipeline

Extracts LaTeX and structural ACSet data from mathematical documents using Mathpix and balanced ternary checkpoints.

Invariant Measure Analysis

Analyzes and defines measures preserved by flows in dynamical systems to understand long-term qualitative behavior.

Cognitive Superposition

Synthesizes multiple advanced theoretical frameworks from world-class researchers to solve complex problems through high-level meta-reasoning.

PKG Memory Bridge

Bridges Claude to external Personal Knowledge Graph systems like Mem0, Graphiti, and Solid PODs for persistent AI memory.

Linearization Analysis

Approximates nonlinear dynamical systems using local linear models to analyze stability and phase space behavior.

ASI Agent-O-Rama Orchestrator

Facilitates triadic agent orchestration on Rama-based distributed topologies using ASI patterns and GF(3) conservation logic.

Condensed ANIMA QC

Manages quantum-classical network transitions and state conservation using s-expressions across polyglot computing environments.

Bifurcation Diagram Generator

Generates visual bifurcation diagrams to track stability transitions and behavior changes in dynamical systems.

Dynamical Systems Stability Analysis

Analyzes the qualitative behavior and robustness of solutions near equilibria in complex dynamical systems.

Specter Navigator Gadget

Enables high-performance bidirectional navigation and transformation of complex nested data structures using compiled path expressions and constraint logic.

ALife Simulation & Modeling

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

HoloViz Advanced Rendering

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

Directed Yoneda Lemma Reasoning

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

Unworld

Implements deterministic seed-chaining and color derivations to replace temporal sequencing with verifiable mathematical logic.

MLX-JAX SplitMix64 Deterministic Generator

Generates high-performance, deterministic SplitMix64 pseudo-random sequences for MLX and JAX workflows on Apple Silicon.

MLX Apple Silicon

Optimizes LLM performance on Apple M-series chips using the MLX framework for high-efficiency local inference and fine-tuning.

Bumpus Narratives

Models and analyzes time-varying data using sheaves on time categories for compositional temporal reasoning.

Bmorphism Diagrams

Interleaves context-aware Mermaid diagrams into interactions using GF(3) triadic selection logic.

Quantum Music Composition

Bridges classical music theory with quantum computing to compose and perform algorithmic music using quantum circuits and ZX-calculus.

SICMUtils (Emmy) Physics Math

Provides a powerful Clojure environment for symbolic mathematics, automatic differentiation, and computational classical mechanics.

Criticality Detector

Detects phase transitions and classifies dynamical system states using fixed-point distance measurements and self-loop closure verification.

JaxLife Open-Ended Simulator

Implements high-performance JAX-based agentic simulations to model emergent behaviors, tool use, and open-ended cultural evolution.

Kinetic Block Orchestrator

Orchestrates complex AI behaviors using a tripartite framework of hierarchical stratification, compositional fabrication, and mathematical conservation.