Data Science & ML Claude 技能

Exponential Topology Communication

Implements high-performance communication frameworks using hyperbolic embeddings and O(log N) routing for large-scale distributed systems.

Triadic Color Self-Validation Loop

Validates triadic color systems by comparing predicted efference copies against actual observed stream data to minimize error.

Chemical Organization Theory (COT) Modeler

Implements Chemical Organization Theory to model, simulate, and verify self-maintaining autopoietic systems through reaction-diffusion dynamics.

Möbius Inversion & Poset Analysis

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

OSM Topology Analysis

Analyzes OpenStreetMap road networks and geographic data using topological graph structures and GF(3) validation.

GAP Computational Algebra

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

Mathpix OCR & LaTeX Extraction

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

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.

Python Video Pipeline

Builds high-performance, GPU-accelerated video processing workflows using FFmpeg, OpenCV, and serverless infrastructure.

fal.ai Text-to-Video Master

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

Python OpenCV Master

Streamlines computer vision development with expert patterns for image processing, video analysis, and deep learning inference using OpenCV.

fal.ai API Reference

Provides comprehensive documentation and implementation patterns for integrating fal.ai's generative AI models via JavaScript, Python, and REST APIs.

Next.js Modal Integration

Bridges Next.js applications with Modal.com for high-performance AI inference, GPU workloads, and heavy serverless compute.

Fal.ai Video-to-Video

Enhances and transforms videos using advanced AI models for style transfer, upscaling, and object replacement.

System 2 Attention

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

Molecular Assembly Index

Computes molecular complexity using Lee Cronin's Assembly Theory to identify biosignatures and calculate minimal construction pathways.

Compression Progress Curiosity

Implements Schmidhuber's compression-based intrinsic reward to drive curiosity and exploration in learning systems.

Topos Model Generator

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

Sheaf-Theoretic Coordination

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

Self-Evolving AI Agent Patterns

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

Safe Rewriting Advisor

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

Oriented Simplicial Networks

Implements directional simplicial neural networks with E(n)-equivariance and persistent homology for advanced topological data analysis.

World Hopping: Possible World Navigator

Navigates complex mathematical and philosophical state spaces using Badiou’s event ontology and modal logic constraints.

Three-Match SAT Solver Gadgets

Implements 3-SAT reductions via colored subgraph isomorphism and non-backtracking geodesics for topological computing.

Triad Interleave Scheduler

Generates balanced execution schedules by interleaving three deterministic color streams for parallel tasks and simulations.

Geiser Chicken Scheme Topological Tools

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

Epistemic Arbitrage Synthesis

Facilitates cross-domain knowledge transfer using propagator networks and deterministic parallel processing.

CIDER Semantic Embedding

Enhances Clojure development with semantic code navigation and similarity search using vector embeddings.

CIDER Semantic Code Embedding

Enhances Clojure development by providing semantic code navigation and similarity search via CIDER embeddings.