Data Science & ML Claude 스킬

Saddle-Node Dynamics

Analyzes and implements saddle-node bifurcations for modeling qualitative changes in dynamical systems and equilibrium pairs.

Directed Interval Logic

Axiomatizes the directed interval 0 → 1 to model irreversible processes and time-directed homotopy in synthetic infinity-categories.

Specter ACSet Navigation

Provides high-performance bidirectional data navigation and transformation for Julia collections, S-expressions, and ACSets.

Categorical World Rewriting (Triad 4)

Orchestrates complex world-state transformations using categorical rewriting, graph grafting, and formal semantic verification.

Levin-Levity: Algorithmic Complexity & WEV

Balances algorithmic complexity with exploratory game theory to optimize proof discovery and extract World Extractable Value (WEV).

Kinetic Block Orchestrator

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

Criticality Detector

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

SICMUtils (Emmy) Physics Math

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

Quantum Music Composition

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

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.

MLX Apple Silicon

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

MLX-JAX SplitMix64 Deterministic Generator

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

Unworld

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

Directed Yoneda Lemma Reasoning

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

HoloViz Advanced Rendering

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

ALife Simulation & Modeling

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

Dynamical Systems Stability Analysis

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

Bifurcation Diagram Generator

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

Condensed ANIMA QC

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

ASI Agent-O-Rama Orchestrator

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

Linearization Analysis

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

PKG Memory Bridge

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

Cognitive Superposition

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

Invariant Measure Analysis

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

ZX-Calculus Quantum Reasoning

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

Mathpix OCR & LaTeX Pipeline

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

Transcritical Bifurcation Analysis

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

WEV Tesseract

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

Ergodicity & Dynamical Systems

Analyzes and models complex dynamical systems using ergodicity principles where time averages equate to space averages.