Data Science & ML Habilidades de Claude

Causal Inference Reasoning

Implements interventional reasoning and counterfactual analysis to build robust, System 2 world models for AI.

Causal Inference & World Models

Implements advanced causal reasoning, counterfactual analysis, and System 2 deep learning architectures to build robust, intervention-aware AI models.

Gödel Machine Self-Evolution

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

Operad Compose

Facilitates structured generation and algebraic modeling using colored operad composition.

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.

Forward-Forward Learning

Implements Geoffrey Hinton’s Forward-Forward algorithm for efficient, local layer-wise neural network training without backpropagation.

Cognitive Surrogate

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

Ramanujan Expander

Optimizes network expansion and spectral properties using Ramanujan graph theory and the Alon-Boppana bound.

GFlowNet Generative Modeling

Implements Generative Flow Networks to sample diverse, high-reward candidates for molecule design, causal discovery, and combinatorial optimization.

Letta AI Agent Architect

Builds and manages stateful AI agents with long-term memory and persistent context using the Letta (MemGPT) framework.

CatColab Regulatory Networks

Models molecular biology gene regulatory networks using signed graphs for activation and inhibition logic.

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.

World Hopping Navigation

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

Cognitive Surrogate

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

Möbius Path Filter

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

Geohash Coloring & Spatial Indexing

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

LLM Application Development

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

Color Envelope Preserving

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

Mathpix OCR & ACSet Extraction

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

Gödel Machine Self-Improvement

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

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.

Forward-Forward Learning

Implements Geoffrey Hinton's Forward-Forward algorithm to enable local, layer-wise neural network training without backpropagation.

CatColab Petri Nets

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

Ramanujan Expander & Spectral Analysis

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

IES Polyglot Social Analytics

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

IES Topological Environment

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

SplitMix Ternary Streams

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

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.