Data Science & ML Agent Skills

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.

Stochastic Resonance Analyzer

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

Ramanujan Expander & Spectral Analysis

Constructs and verifies Ramanujan graphs to ensure optimal spectral expansion and network mixing times.

Fal.ai Audio Mastery

Integrates fal.ai audio models for high-accuracy speech-to-text, premium text-to-speech, and advanced voice cloning.

Gödel Machine Self-Improvement

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

Cognitive Surrogate

Builds, trains, and validates high-fidelity psychological models from interaction patterns to simulate cognitive behavior and intellectual trajectories.

IES Polyglot Analysis Environment

Orchestrates a multi-language environment for advanced social data analysis, media processing, and deterministic generative aesthetics using Julia, Clojure, and Python.

Color Envelope Preserving

Enforces GF(3) ternary color conservation across data navigation paths to ensure deterministic traversal and structural integrity.

LLM Application Development

Builds sophisticated AI-powered applications using advanced prompt engineering, RAG patterns, and multi-provider LLM integrations.

Möbius Path Filter

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

IES Polyglot Social Analytics

Orchestrates polyglot development environments for social data analysis and multimedia processing using Clojure, Julia, and DuckDB.

CatColab Petri Nets

Models concurrent and distributed systems using categorical Petri nets to simulate resource flow and event transitions.

Mathpix OCR & ACSet Extraction

Converts mathematical documents and images into structured LaTeX and ACSet data models using resilient balanced ternary checkpoints.

SplitMix Ternary Streams

Extends splittable random number generation with GF(3) balanced ternary streams for parallel triadic systems.

Power Grid Model Analysis

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

CBLAS & LAPACKE API Reference

Provides a comprehensive C API reference for BLAS and LAPACK numerical linear algebra routines.

IES Topological Environment

Orchestrates polyglot environments for social data analysis and multimedia processing using Clojure, Julia, and DuckDB.

OpenCL Development

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

Infinity Topoi Framework

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

CRN Topology & Reaction Networks

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

Pandapower Systems Analysis

Analyzes and optimizes electric power networks using the pandapower Python library.

Geohash Coloring & Spatial Indexing

Generates deterministic GF(3) colored identifiers for hierarchical spatial indexing and location-based clustering.

Unworlding Involution Dynamics

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

fal.ai Text-to-Image

Generates high-quality AI images using leading models like FLUX, SDXL, and Ideogram through the fal.ai API.

Rubato Composer Integration

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

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.

Fal.ai Performance & Cost Optimizer

Optimizes fal.ai AI model deployments for maximum speed, minimal latency, and reduced infrastructure costs.