Data Science & ML Claudeスキル

Three-Match SAT Resolver

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

Three-Match Topological 3-SAT Solver

Reduces complex 3-SAT problems to colored subgraph isomorphisms using topological geodesics and Möbius filtering.

WEV Tesseract

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

Harmonic Centrality Transport

Facilitates topological transport of data structures using harmonic centrality and GF(3) Galois actions for conserved graph-based operations.

Mathpix OCR LaTeX Extraction

Extracts LaTeX and mathematical structures from images and PDFs using high-precision OCR and balanced ternary checkpoints.

Transcritical Bifurcation Analysis

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

CatSharp Sonification

Sonifies Galois Field color streams and code execution flows using mathematical music theory and categorical structures.

Stable Manifold Analysis

Analyzes dynamical systems to identify and model manifolds of points converging toward equilibrium states.

Koopman Generator

Linearizes nonlinear dynamical systems using Koopman operator theory to generate predictive models from observable data.

Gay Monte Carlo Measurements

Performs deterministic, color-coded Monte Carlo uncertainty propagation and gamut-aware probability distribution analysis.

LaSalle Invariance Analysis

Analyzes dynamical systems using the LaSalle Invariance Principle to determine asymptotic stability and long-term qualitative behavior.

Ordered Locale Fanout

Orchestrates triadic parallel agent dispatch using ordered locale theory and deterministic seeding for balanced AI workflows.

SplitMixTernary Opine

Generates deterministic, triadic opinions on propositions using a SplitMix64-based hashing algorithm for algorithmic hyperrealpolitik.

IES Triadic Framework

Facilitates complex system modeling through a triadic balance of categorical structure, cybernetic agency, and phenomenological observation.

Phase Space Transformation

Implements coordinate changes that preserve system dynamics within complex dynamical systems and manifolds.

Persistent Homology Analyzer

Analyzes code structure using topological data analysis to identify stable features and structural vulnerabilities across complexity levels.

Influence Propagation Analysis

Analyzes and traces the flow of ideas, topics, and behaviors across complex social and interperspectival networks.

Ultrametric Distance Metrics

Computes non-Archimedean distance metrics for hierarchical clustering, p-adic analysis, and version control ancestry.

Color Envelope Preserving

Enforces GF(3) color conservation and deterministic traversal across complex data navigator compositions.

Structural Stability Analysis

Analyzes the robustness of qualitative dynamics in complex systems to ensure stability under perturbations.

TrueALIFE: Self-Indexing Automata

Implements self-indexing automata and metabolic computational patterns at the edge of chaos using GF(3) logic.

Browser History ACSet

Transforms multi-browser history into a unified categorical structure for behavioral analysis and cross-language data consistency.

Plurigrid ASI Integrated

Orchestrates a topological system of specialized skills using category theory, ternary logic, and autonomous synthesis protocols.

Local Compositionality Gadget

Manages ergodic local updates using Blume-Capel dynamics and GF(3) conservation for topological graph rewriting.

ZX-Calculus Quantum Reasoning

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

Kolmogorov Complexity & Compression

Analyzes and approximates Kolmogorov complexity to evaluate intelligence, optimize code brevity, and measure informational density.

Hyperbolicity Analysis

Analyzes and implements robust dynamical systems by ensuring stable equilibria through eigenvalue placement.

Lisp-style ACSet Navigator

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

QRI Valence & Qualia Computing

Implements the Symmetry Theory of Valence (STV) to analyze, map, and optimize phenomenal states through topological mathematical models.

IES Polyglot Social Analytics

Orchestrates a polyglot environment for social network analysis and multimedia processing using Clojure, Julia, and DuckDB.