Data Science & ML Claude 技能

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.

Invariant Measure Analysis

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

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.

AgentDB Advanced Features

Implements advanced vector database capabilities for distributed AI systems, multi-agent coordination, and high-performance hybrid search.

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.

HyJAX Relational Thread Analysis

Analyzes conversation threads and concept networks using advanced relational thinking and ACSet modeling.

Cognitive Superposition

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

Delta Derivation

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

Triadic Color Self-Validation

Validates triadic color systems by comparing predicted efference copies against observed color streams to minimize system error.

Jacobian Linearization

Analyzes dynamical systems using partial derivative matrices to linearize complex flows and evaluate local stability.

Dialectica Game Logic

Transforms formal proofs into interactive game-theoretic strategies using Gödel’s Dialectica interpretation.

Local Model Fine-Tuning Pipeline

Automates the creation of high-quality training datasets from Claude conversation history and local skill files to fine-tune LLMs using MLX on Apple Silicon.

PKG Memory Bridge

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

Glass Hopping Navigation

Navigates complex conceptual possibility spaces using type-theoretic bridge transitions and ordered locale structures.

Dynamical Systems Synchronization

Analyzes and implements convergence patterns in coupled dynamical systems for complex mathematical modeling.

Linearization Analysis

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

Hopf Dynamical Systems

Analyzes and models Hopf bifurcations to identify transitions from equilibrium to limit cycles in complex dynamical systems.

ASI Agent-O-Rama Orchestrator

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

Advanced Excel & Spreadsheet Automation

Automates professional spreadsheet creation, data analysis, and financial modeling with a focus on formula-driven logic.

Pun Decomposition Logic

Analyzes and deconstructs linguistic puns into multiple semantic and phonetic parses using algebraic and topological structures.

Structured Decomposition Engine

Implements Fixed-Parameter Tractable (FPT) algorithms using sheaves on tree decompositions for compositional data structures.

Coupled Systems Dynamics

Models and analyzes interacting dynamical systems using topological and algebraic frameworks for complex system simulation.

Gay.jl Bisimulation Integration

Integrates deterministic color generation with bisimulation game semantics for verifiable GF(3) conservation logic.