Data Science & ML Claude 스킬

Infinity Topoi Framework

Implements higher topos theory and ∞-sheaf logic to provide a rigorous mathematical framework for complex systems and BCI data modeling.

Power Grid Model Analysis

Performs high-performance steady-state distribution power system analysis, including power flow, state estimation, and short-circuit calculations.

OpenCL Development

Accelerates parallel computing development using the OpenCL SDK for cross-platform GPU and CPU execution.

Möbius Path Filter

Classifies and filters dependency graph paths using Möbius inversion to optimize proof structures and resolve circular logic.

Mathpix OCR & LaTeX Extraction

Extracts mathematical LaTeX from images and PDFs using advanced OCR and balanced ternary checkpoints for reliable structured data conversion.

GGML ML Tensor Library

Optimizes machine learning inference and training using a high-performance C tensor computation library with multi-backend support.

Rubato Composer Integration

Implements Guerino Mazzola’s mathematical music theory using categorical structures, Scheme integration, and the Topos of Music framework.

CUDA GPU Computing

Accelerates high-performance computing tasks by providing expert guidance on NVIDIA CUDA kernels, memory management, and parallel programming libraries.

Agent-o-rama Learning & Pattern Extraction

Trains cognitive agents to extract behavioral, temporal, and network patterns from complex interaction sequences.

Information Geometry

Implements Fisher-Rao metrics and natural gradient optimization on statistical manifolds for advanced probabilistic modeling.

Curiosity-Driven Learning

Implements Schmidhuber's curiosity-driven framework to provide AI agents with intrinsic motivation based on compression progress.

AMD ROCm & HIP Development

Develops high-performance GPU kernels and manages AMD ROCm compute stacks using HIP for cross-platform portability.

Active Inference Self-Validation Loop

Validates triadic color system predictions using active inference and error minimization loops.

Unworlding Involution Dynamics

Extracts frame-invariant patterns and self-inverse derivation structures from interaction dynamics using GF(3) conservation.

Curiosity-Driven Learning

Implements intrinsic motivation for AI agents using Schmidhuber's formal theory of creativity and compression progress.

Three-Match Algorithm Gadget

Facilitates 3-SAT reductions to colored subgraph isomorphism using non-backtracking geodesic gadgets and Möbius filtering.

Derived Categories & Homological Algebra

Implements advanced homological algebra frameworks including chain complexes, derived functors, and triangulated categories for BCI signal processing.

Emergent Role Assignment

Orchestrates spontaneous role assignment and hierarchical self-organization in multi-agent systems using topological and chemical organization principles.

Agent-o-Rama Learning Engine

Extracts complex behavioral patterns and trains predictive learning agents from interaction sequences using multi-interpreter analysis.

JaxLife Open-Ended Simulator

Simulates agentic artificial life and emergent behaviors within Turing-complete programmable environments using JAX.

Categorical Composition Architecture

Implements mathematical category theory abstractions to enable compositional learning and structured parameter transfer in AI models.

JaxLife Open-Ended Simulation

Implements high-performance agentic simulators using JAX for researching emergent behaviors and open-ended evolution.

Local Feedforward Learning

Implements the Forward-Forward algorithm and local contrastive learning paradigms to train neural networks without backpropagation.

Senior Data Scientist

Empowers Claude with expert-level statistical modeling, causal inference, and production-grade machine learning capabilities for enterprise data systems.

Probabilistic Forecasting Analyst

Generates rigorous, quantified probabilistic forecasts and scenario models for complex future events using Bayesian reasoning and superforecasting techniques.

CRN Topology & Reaction Networks

Generates and analyzes chemical reaction network (CRN) topologies to predict dynamical behaviors through graph theory and linear algebra.

GAP Computational Algebra

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

FAL AI Image-to-Image & Enhancement

Transforms, edits, and enhances images using state-of-the-art fal.ai models including FLUX, ControlNet, and advanced upscalers.

Fal.ai Model Selection Guide

Provides expert guidance and decision trees for selecting optimal fal.ai models based on quality, speed, and cost requirements.

fal.ai Text-to-Video Master

Generates professional cinematic videos from text descriptions using state-of-the-art models like Kling, Sora, and Runway.