Data Science & ML Claude 스킬

Stochastic Resonance Analyzer

Enhances subthreshold signal detection using noise-optimization techniques and Kramers escape rate calculations.

GFlowNet (Generative Flow Networks)

Implements Bengio's Generative Flow Networks for diverse, reward-proportional sampling in molecule design and causal discovery.

Sheaf Cohomology BCI Consistency

Ensures local-to-global signal consistency in Brain-Computer Interface data using cellular sheaves and Cech cohomology.

Turing Chemputer

Coordinates programmable chemical synthesis by executing Turing-complete XDL programs on modular robotic hardware.

Cognitive Surrogate

Builds, trains, and validates high-fidelity psychological models from interaction patterns to predict cognitive trajectories and generate authentic responses.

World Hopping Navigation

Navigates complex mathematical and philosophical possibility spaces using Badiou-inspired ontology and triangle inequality constraints.

Self-Evolving AI Agent Framework

Implements Darwin Gödel Machine patterns to build AI agents that autonomously improve their own code and capabilities through open-ended evolution.

Gödel Machine Self-Evolution

Implements self-improving AI systems using formal verification and evolutionary search to safely enhance agent performance.

Self-Evolving AI Agent Patterns

Implements Darwin Gödel Machine patterns to enable autonomous code evolution and self-improvement for AI agents.

ASI Polynomial Operads

Implements category-theoretic frameworks for compositional intelligence, dynamical systems, and open game theory.

ASI Polynomial Operads

Implements advanced category theory frameworks to build compositional, causal, and explainable intelligence systems using polynomial functors and operads.

Infinity Categories Framework

Implements higher category theory and simplicial sets to provide a universal framework for homotopy-coherent signal processing and BCI modeling.

Map Projection & Spatial Topology

Analyzes and implements geographic map projections using category theory and manifold distortion metrics.

Triad Interleave

Interleaves three deterministic color streams into balanced schedules for parallel execution and evaluation.

System 2 Attention

Enhances AI reasoning by implementing two-stage deliberate attention mechanisms to filter context and reduce sycophancy.

Kolmogorov Complexity & Compression

Measures and optimizes data complexity by finding the shortest program representation to evaluate intelligence and algorithmic efficiency.

Kolmogorov Compression

Measures and optimizes data complexity by finding the shortest algorithmic representation to evaluate intelligence and information density.

GAP Computational Algebra

Generates group-theoretic structures and computational algebraic objects for the Plurigrid ASI ecosystem.

Sheaf-Theoretic Coordination

Implements advanced topological coordination and distributed reasoning using sheaf theory for multi-agent systems.

Spectral Random Walker

Analyzes mathematical theorem dependencies using spectral random walks to discover comprehension neighborhoods and proof patterns.

Ihara Zeta Graph Analysis

Analyzes graph structures using the Ihara zeta function, non-backtracking walks, and spectral clustering techniques.

Möbius Inversion & Poset Analysis

Implements advanced Möbius inversion on posets and lattices to solve complex combinatorial, graph-theoretic, and number-theoretic problems.

Topos Model Generator

Generates sheaf-theoretic models and formal logic structures using forcing semantics and internal topos languages.

Safe Rewriting Advisor

Optimizes complex graph structures by identifying and removing redundant dependencies while maintaining critical spectral connectivity.

Geiser Chicken Scheme Topological Tools

Integrates Chicken Scheme with Geiser to provide graph 3-coloring, collaborative S-expression patterns, and Penrose diagram generation.

Topos Model Generator

Generates sheaf-theoretic models and verifies logical propositions using Kripke-Joyal forcing semantics.

Möbius Inversion & Combinatorics

Implements Möbius inversion on posets and lattices to solve complex combinatorial problems, graph coloring, and centrality analysis.

Unworld Derivational Logic

Replaces temporal sequencing with deterministic seed-chaining and color derivations for verifiable state transitions.

Spectral Methods Analysis

Performs frequency-domain decomposition and graph Laplacian analysis for complex signal and topological structures.

Condensed Mathematics Framework

Unifies topology and algebra using the Scholze-Clausen framework to model condensed sets and liquid vector spaces.